diff --git "a/data/dm_maths/full_data_1/10061_11255.jsonl" "b/data/dm_maths/full_data_1/10061_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10061_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is -39 (base 12) in base 7?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (429\/(-52))\/((-13)\/7488)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96 + 280. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*o**3 - 5 - 7*o**3 + 3 - 11*o**4 to i*o**2 + k*o**3 + c*o + f*o**4 + n and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 121.8049l?\nAnswer: 121804.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2596\/(-40))\/(-11)*10. Put -1, n, -2, -4, -5 in descending order.\nAnswer: n, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-25)\/15)\/(12\/9). What is the third biggest value in n, -3\/4, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 27 = -4*w, 3*w = 2*w + 2*d - 4. Let p be (-60)\/(-8)*(-8)\/w. Solve 0*v + v + p = 4*l, 0 = 2*v - 5*l + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkuyrlluiuuyuul. What is prob of sequence kuy?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2*h - 11*q - 49 = h, -7*h + 11*h + 5*q = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and 1212?\nAnswer: -25452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*a + 41598 - 41224 = 0 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -35. Let m = 0.08 - -2.92. Which is bigger: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66027 - 6?\nAnswer: 66021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 1 + 78 + 21)*(-3*f + 0*f + 2*f).\nAnswer: -113*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-4)*186\/(-15). Let r = 471\/70 + t. What is the common denominator of r and (-2320)\/(-336) + (-2)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**5 - 47*w**4 - 100*w**3 - 124*w**2 + 125*w - 1.\nAnswer: -120*w**2 - 1128*w - 600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s**3 + 8*s**3 + 4*s**3 - 17*s**3 - 615 - 123 as n*s**3 + v*s + j*s**2 + o and give o.\nAnswer: -738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 45 = -g + 4*g, 0 = -2*s + 5*g + 35. Suppose -s = -3*i - 2*i. Solve -2*h + i + 2 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 3*c - 36. Let k be d(8). Suppose -k*o = -18 - 26. What is the least common multiple of o and (-14)\/5*20\/(-2)?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -934*j**2 - 1330*j + 1331. Calculate b(1).\nAnswer: -933","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1241317 (base 8) in base 13?\nAnswer: c0c1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195*y + y**2 + 2 - 200*y + 3 - 1 = 0. Calculate y.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 4:57 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/11, 1\/2, -5\/3.\nAnswer: -5\/3, -0.2, -2\/11, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -471341 (base 8) to base 9.\nAnswer: -264122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/(-2))\/(((-48)\/(-36))\/(6*(-7)\/(-21)))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31606.2 and -0.4?\nAnswer: 12642.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 7*i + 36 = 0. Suppose -i*y + 468 = -y. Suppose -43 + 173 = 5*g. Calculate the greatest common factor of y and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 k, and 2 d when four letters picked without replacement from {v: 5, k: 1, y: 3, m: 2, d: 3, j: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-9\/2)*f**(-2\/23)*(f**(-1\/4)*f*f)\/(f\/(f*(f\/f**(1\/5))\/f)) assuming f is positive.\nAnswer: f**(-1397\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 4, y: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(76)*5)\/((sqrt(4) - sqrt(256))*1 + sqrt(4)).\nAnswer: 10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 - 2*p**3 + 7148*p**2 + 0*p**3 - 7148*p**2.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*q - 1004 + 74. Let f be -10*3\/(-18)*3. Suppose -j = -3*g - 78, -f*g + 8 + q = 2*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -19*n**2 - n + 1. Determine k(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184\/((-16)\/(-4)) + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -2*m**2 + 5*m - 49. Let q = -251 + 254. Let c(o) = 4*o - 4. Give q*c(y) + 2*f(y).\nAnswer: 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -850*d + 5*d**2 - 870*d + 1720*d.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2024 + -140?\nAnswer: -2164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 5, -13 in descending order.\nAnswer: 5, 3, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -44, 65 in decreasing order.\nAnswer: 65, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.00298 + 47.00227. Let m = 39.694 + 0.306. Let i = u - m. What is i rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -8*l + 4*l, 0 = 2*z + 5*l. Factor 0*s**3 + z + 0*s + 1\/4*s**4 + 0*s**2.\nAnswer: s**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/((3\/(-1))\/(-3)). Let s(c) = j*c**2 - 2*c**2 - 4*c**2. Let z(n) = -6*n. What is s(z(x))?\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**2 - 64*a + 528 = 0. What is a?\nAnswer: -22, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, -53, -99, -139, -173, -201?\n\"Answer: 3*k**2 - 61*k + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 486907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 35 = 3*u, 2*u + 2*q - 26 = -2*q. Suppose 0 = -0*k - u*k. Suppose d - w + k - 20 = 0, 2*d + 5*w - 5 = 0. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/100 + (-54)\/60. List the prime factors of 17\/(34\/(-8)) + (-1183)\/l.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*-3*sqrt(65)*5)\/((2*sqrt(125) + sqrt(125) + sqrt(5))*-1).\nAnswer: -75*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 - 1261*j - 35764. Calculate g(447).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 4*n + 5*n. Is n <= 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y + 1. Let z = -16 - -18. Let v(b) = b. Give z*q(u) - 6*v(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/24759607 or 1?\nAnswer: -4\/24759607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 14.4837531ms?\nAnswer: 0.00000016763603125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g**2 + 4. Let n(o) = 27*o**2 + 15 + 751*o - 751*o. What is -4*n(j) + 15*z(j)?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -143402454 (base 6) in base 7?\nAnswer: -34152634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11804584, 11804581, 11804578, 11804575, 11804572, 11804569?\n\"Answer: -3*k + 11804587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1b068d2 (base 14) to base 15\nAnswer: 12ae42b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 20*o**2 - 21*o + 10. Let k be w(-21). Is -1 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Let g = -66 + 68. What is the closest to g in h, 0.3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188216.\nAnswer: 2, 7, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.11 + -0.11. Suppose -x = 2*f + 8, 0*x = x - 5*f - 20. Let t = -3.3 + 9.3. Which is the third biggest value? (a) t (b) x (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, p: 3, g: 1, w: 3, j: 1, f: 2}. What is prob of picking 2 w and 1 g?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 129790417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 8 = -2*p - 7*o, 2*p - o = -14. Let c be p\/(-14) - (-1 - (-22)\/14). Solve c = -3*m + 12 - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4533c7 (base 13) to base 5.\nAnswer: 404311423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 828115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35521 + -35469. Calculate the remainder when 24958 is divided by v.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10210110301 + 4?\nAnswer: 10210110310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 0*i**2 + 0*i - 4\/5*i**3 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.429 - -0.131. Let x = o + 0.14. Round x to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5805 - 1451 - 1451 - 1454 - 1449 - y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*q**2 + 61*q**2 + 44*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 285, 512, 737, 960?\nAnswer: 1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*d**4 - 3*d + 6*d**3 + d + d - 3*d**2 - 5*d**3 in the form u + c*d**3 + b*d + q*d**2 + g*d**4 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 281\/2? (a) 2\/19 (b) 3 (c) -0.14 (d) 202\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + -1 + (-91)\/(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45211?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -529\/15 - -327\/10. What is the common denominator of (17\/(-4))\/((-9)\/14) and d?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by 2193?\nAnswer: -23\/2193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2399750 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*y = 112*y + 638. What is the remainder when 229 is divided by y?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, r: 1, g: 1, q: 1, e: 5}. Give prob of sequence gq.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -9*u**5\/5 - 5*u - 6. What is the first derivative of m(g) wrt g?\nAnswer: -36*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f + f**2 - 11*f**3 - f**3 - 31 + 35. Let q(c) = 14*c**3 - 5*c - 5. Let o(n) = 4*q(n) + 5*y(n). Find the third derivative of o(u) wrt u.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n - 3. Calculate the remainder when f(-11) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 334719 by -11.\nAnswer: -30429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1153\/10 - 233\/2. Which is the biggest value? (a) 2 (b) -0.27 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 17*o - 12 = -21*o, 3*t + 6 = 2*o. Factor 0 + t*w + 6\/7*w**3 + 2\/7*w**4 + 4\/7*w**2.\nAnswer: 2*w**2*(w + 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41 or 1\/302?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/33)\/((-10)\/(-246)). Let z = g - 2707\/880. Find the common denominator of 4\/(-10) - (-219)\/(-30) and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348862820 is divided by 3529?\nAnswer: 3525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 344 and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893063\/9 + (182\/(-21))\/(-13) 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 {f: 1, t: 1, k: 1, s: 2, z: 1, w: 1}. Give prob of sequence tf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 5:03 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2638*h + 1238492 - 1238492)*(8*h**2 - 5*h**2 + 9*h**2) in the form v + x*h**2 + d*h + z*h**3 and give z.\nAnswer: -31656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1485 + 1485 - 173*a - 199*a)*(-5 - 1 - 7) + (1 + 4 - 3)*(0*a - a + 0*a) to the form u*a + c and give u.\nAnswer: 4834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13350 and 24?\nAnswer: 53400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -73\/402?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 + 77*d**2 + 79*d + 309. What is the thousands digit of t(39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(104) - 1*sqrt(104)) - (4*(sqrt(104)*2 - sqrt(104)) - sqrt(104)))\/((sqrt(16) - (-2*sqrt(144))\/sqrt(9))\/sqrt(2)*-2).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -14.5. Let w = n - 1.5. Suppose -10*y + 18*y - 32 = 0. Which is the nearest to y? (a) w (b) -2\/9 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9442660, -9442662, -9442664, -9442666, -9442668, -9442670?\n\"Answer: -2*y - 9442658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen ninths of a day in minutes?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 33560114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 1. Let x be f(0). Let c(p) = -72*p + 4. Let d be c(x). Let t = -56 - d. Solve 2*z - 3*l + 4 = 0, -4*l = -3*z - z - t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/(20\/10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 8:35 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-180)*-5*-12. Solve q = -0*f + 5*f + 22, n*q = 2*f - 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 875998?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, v: 9, z: 7, x: 2}. Give prob of sequence zvnz.\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 l when two letters picked without replacement from olmyyyyly.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2056360 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-112 - 1)*(-11 - -8) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 m when three letters picked without replacement from ciimiiipiccmpkmiici.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 15 = 2*a - a, -4*l + 3*a = 7. Let 24 - 2*j**l - 24 + 3*j + j = 0. Calculate j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1159360623.\nAnswer: 3, 2551, 50497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 107?\nAnswer: -10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/8*8\/2. Suppose 2*h = -2*h - 4*l + 168, s*h = -l + 218. What is the highest common divisor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 64 = -4*r, -5*y = -2*y. Let p(c) = 5*c**2 - 4*c + 26. What is the remainder when p(4) is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**3 + 65*g**2 + 16*g - 2065?\nAnswer: 3*g**2 + 130*g + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*f - 35*f + 3*w + 148829, 0 = -5*f - 2*w + 372101. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, j: 1, g: 1, p: 1, i: 8}. What is prob of picking 1 j and 1 g?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 723885551 to the power of 1\/2, to the nearest integer?\nAnswer: 26905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/5)\/(d\/d**(-1\/11)) assuming d is positive.\nAnswer: d**(-49\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32912.34km to meters.\nAnswer: 32912340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u + 6*u - 4*u + u + u. Let m(h) = 227*h - 3. Determine m(i(z)).\nAnswer: -454*z - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5225, 5, -5 in ascending order.\nAnswer: -5, 5, 5225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103 - 64. Let x = 46 - p. Suppose 0*a + 112 = x*a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(108))**2 + sqrt(108) - sqrt(108)) + 4.\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1822342600.\nAnswer: 2, 5, 13, 29, 24169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 + 281. What is the tens digit of 8\/(-12) + y\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 16*q - 46 = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**7\/840 - 143*m**6\/480 - 71*m**5\/120 + 14*m**2 + m. Factor b(c).\nAnswer: -c**2*(c + 1)*(c + 142)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 627, 1254, 1881, 2508, 3135, 3762?\n\"Answer: 627*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63\/6*(-12)\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300004122 to the power of 1\/3, to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*w + 50740 - 26060 - 25768 = 0 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 3555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 1092*c**2 + 75072*c - 73984.\nAnswer: 4*(c - 136)**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from avzgsalz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*y = 140*y + 93. Let t = 0.3 - 1.3. Which is the nearest to y? (a) 3 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-158*w + 76*w + 11 - 2*w**2 + 80*w)*(0 - 2*w**3 + 0).\nAnswer: 4*w**5 + 4*w**4 - 22*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.1, 5, -1\/5, 4, -856?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53952?\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15422?\nAnswer: 2, 11, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*n + 51*h - 53*h, 4*n + 3*h = 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*k**3 - 8560*k**2 + 80432*k + 23680.\nAnswer: 4*(k - 296)*(k - 10)*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.8503181 to 2 decimal places.\nAnswer: 15.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*v = -21, 5*x - 20 = 3*v + 20. Calculate the highest common divisor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + 2*a + 3*a**2 + a - 5*a.\nAnswer: 4*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85099 + 85099. Suppose -5*t = -b + 5*b + 78, 5*t = -3*b - 76. Which is smaller: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t**3 + 6*t**3 + 52*t + 10*t to the form m*t**2 + x*t + c*t**3 + w and give x.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88 - -799. Let k = -640 + i. What are the prime factors of k?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.9833 + -255.8483. Let q = h - 168.617. Let k = q + 418. Round k to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 9*w + 2*a = 0, 0 = 4*w - 4*a - 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -393 - -613. Calculate the common denominator of u\/306*(-15)\/(-25) and -139\/54.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 25863, 104327, 235101, 418185, 653579, 941283, 1281297?\n\"Answer: 26155*r**2 - r - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6698*k**2 - 45*k + 202661 with respect to k.\nAnswer: 13396*k - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6)*(1 + 5). Suppose 5*h - 2*q - 3 = 16, 4*h = 4*q + 8. Suppose -4*p = 4*y - 48, -5*y - 39 = -12*p + 8*p. Sort s, h, -4, y in descending order.\nAnswer: h, y, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42*(-75)\/270*(-63)\/21?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*o**6 + 4*o**3 - 361*o**2 wrt o.\nAnswer: -600*o**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 45. List the prime factors of ((-30)\/18)\/((-1)\/y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11704 and 1032920?\nAnswer: 215880280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -978.8 - -979.1. Which is the third smallest value? (a) 1\/182 (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/11 - 47\/132. Let a be (-1 + 1)\/(4\/24*6). Let s = 329.4 + -330.4. What is the closest to s in a, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a5 - -5218a?\nAnswer: 52284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g = 4*z - 162, 202 = 5*z + g. Suppose 5*y = 3*n + n + 152, -z = -y + 4*n. Calculate the highest common divisor of 70 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 + 8*g - 2*g - 2156 - 6*g + 3953 - 1797.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/66 and -18\/8371.\nAnswer: 50226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 1)*(0*v - 2*v + 4*v) + 4 + 384*v + 2 - 1320*v - 6 as h + j*v and give j.\nAnswer: -942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 11 = -6*a. Let z be a\/15 + (-8)\/3. What is the remainder when (z - -4)*(2 - -71) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001026 rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = 5*j - 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2) - 18\/4. Is y < -18\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14561*y - 14563*y + 4*f + 10, y + 2*f + 7 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2450, -10085, -22906, -40913, -64106, -92485, -126050?\n\"Answer: -2593*n**2 + 144*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 != -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/115 + -8153\/1380. Let d = t - -25\/4. Which is the closest to 0? (a) 2\/27 (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42*t**3 + 184 wrt t?\nAnswer: 126*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - -20. Suppose z = -0*v + 6*v. Solve -28 = v*i - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10734)\/1338 + 0 + 8. Which is bigger: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1938*-3.26\nAnswer: 6317.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22\/55 - (-2)\/(-5). Let -1\/2*s**3 + 1\/2*s**4 + 0*s + 0 + i*s**2 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 15) in base 12?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-12)*((-32)\/1040)\/((-27)\/(-810)).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 145.314 and 169?\nAnswer: 24558.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -7. Let o(s) be the third derivative of 1\/24*s**4 + s**2 + 0*s**3 + u*s + 0. Let t(c) = 4*c. Calculate t(o(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/5 - 12458*n\/5 + 24924\/5.\nAnswer: -2*(n - 2)*(n + 6231)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-69)\/(-15) + 6\/(-10). Let t(w) = -b*w + 5 - w - 8 - w. What is the remainder when 43 is divided by t(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by 1059.\nAnswer: -29\/1059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 228994795 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/4)\/(700\/5600).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c1 - 2f4?\nAnswer: -4b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*x - 30732 - 3396, x - 3*i = 17031. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1196398?\nAnswer: 2, 7, 97, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1572*a**5 - 45*a**4*d - 16*a*d + 26*d + 15 wrt a.\nAnswer: -31440*a**3 - 540*a**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -6)*(-4)\/20. Let b(i) = 4 - p - 36*i + 37*i. Is 5 a factor of b(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21*(-4)\/(-18))\/((-10)\/(-15)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276*f**2 + 629*f**2 + 896*f**2 - 516*f**2.\nAnswer: 1285*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/20 - (31 - 748845\/23650)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/4 - -1)\/((-16)\/(-40)). Suppose -5*b = -3*b - d*t - 405, -3*t - 399 = -2*b. What are the prime factors of b?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -152 + -87. Let q = -178 - n. Is q a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 159075 and 675?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.787265 micrometers in nanometers?\nAnswer: 1787.265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 973.855cm?\nAnswer: 9738.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110 (base 2) in base 11?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1943 or -1944?\nAnswer: -1943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-42)\/(-4))\/((5\/(-6))\/(-5)). Let k be 11\/(-56) + ((-90)\/l - -2). Which is the nearest to -2? (a) -0.5 (b) -7 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1531*l**3 + 2957*l**3 - 1525*l**3 - 42)*(7 - 3*l - 7).\nAnswer: 297*l**4 + 126*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63\/2 + 32. Let c = 0.26 - 0.06. What is the closest to c in y, -5\/3, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2. Let v(k) be the second derivative of -k**4\/4 - k**3\/3 - 17*k. What is p(v(r))?\nAnswer: 18*r**4 + 24*r**3 + 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 4*t**2 + t + 2. Let v be o(4). Let s(h) = h - 1. Let x be s(v). Solve -d - 9 = -0*d + x*r, 0 = 3*r + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 3*m**5\/80 - 1833*m**4\/16 + 229*m**3 - 8*m - 27. Find l, given that q(l) = 0.\nAnswer: 0, 1, 1832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/23)*q**(-14)*(q*q*q\/(q*q**2))**(-21) assuming q is positive.\nAnswer: q**(-324\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 426 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4680*h + 2220*h + 3 - 3.\nAnswer: -2460*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 6:20 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1160.3 - 1160. Let s = -0.02 + 0.42. What is the second smallest value in i, s, -4\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 less than -305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, 23\/15, 5 in ascending order.\nAnswer: -1\/11, 23\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4559*h = 80*h - 2087 - 39664 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*w = 4, 4*w + 17 = f + 1. Suppose 184 = -0*q + f*q. Suppose -2*b - 4*h = -46, -4*h + 29 + q = 3*b. What are the prime factors of b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 - 4) + (-183 - -168) - -92\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 488 - 95. Let f = y + -107. Suppose -4*z = 2*l - f, 2*z = -0*l + 5*l - 655. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/3)*o**1)**(-1\/8))**(-28) assuming o is positive.\nAnswer: o**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -15\/4 (c) -23886\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdtttttt. Give prob of picking 1 d and 1 t.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + 1. Solve 5*n - u - 1 = 4*n, -u + k = 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**6\/120 + 2*z - 2. Let f(x) be the first derivative of g(x). Solve f(d) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -4, 491, -6.\nAnswer: -6, -4, 0, 5, 491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -44*a + 4. Is m(-3) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -4.5551\nAnswer: -22.7755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1859037 is divided by 619674?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 2, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 538022076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/15972 and 107\/1452.\nAnswer: 15972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*f - 4*b, 7*b + 4 = 3*b. Let o(h) = 23*h**2 - h - 1. Let q be o(f). Let z = -9 + q. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4476 is divided by 80.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 - 89*d - 983. What is i(-20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -1208, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-5))\/(9\/15). Let s = 0.282 + -0.082. What is the smallest value in j, 2\/11, s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 152. Let o = -118 - k. Suppose -9*w - 48 = -o*w. Let b(c) = -c**3 - 8*c**2 - c + 1. Calculate b(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3105 + (4 - (2 + -1)). Let j = l + 71320\/23. Let k = -1147\/1035 - j. Is -1 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4187\/284 - 1\/142. What is the common denominator of s and (3\/((-6)\/(-34)))\/(30\/18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46612 = -5097*t - 2211*t - 11852 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*k**3 - 184*k**2 + 184*k**2 + (-6*k**2 + 5*k**2 - 3*k**2)*(0 - k + 0) to o*k + v*k**3 + a + q*k**2 and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-1 + 2 + 0). Let a(i) = i**3 + 4*i**2 + i - 4. Let s be a(r). Let t = s + 1. Calculate the highest common divisor of 21 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1300) - (-1*sqrt(1300))**2*-6) + 1*sqrt(1300)*-3.\nAnswer: -20*sqrt(13) + 7800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 + 8*z + 232. Let g be p(-16). Calculate the highest common divisor of g and 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2010)\/96 + 23\/(-368). Which is the nearest to 1\/2? (a) j (b) 2\/3 (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.071 - -0.029. Let i = -0.28 + 0.08. Let d(b) = -b**3 + 13*b**2 - 13*b + 14. Let z be d(12). What is the closest to o in i, 4, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10241)\/(-588))\/(71\/(-3)) + -8 + 770\/88\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66*27\/(-5940))\/((-2)\/20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35.7 + -9.3. Let h = i - -46. Which is the second biggest value? (a) -4 (b) 4\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4028\/585 - -2\/585. Calculate the common denominator of (182\/105)\/(1 + (-106)\/50) and u.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**4 + 312*o**3 - 4964*o**2 + 19152*o - 20880 = 0. Calculate o.\nAnswer: 2, 3, 15, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**2 + 3. Let w(u) = 4*u - 21. Let v be w(6). Determine h(v).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4)*(-124)\/3255*-21)\/(225\/1250)\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 - 2*m - 11. Let z(c) = -2*c**2 + c + 10. Let s(a) = 3*x(a) + 4*z(a). Let f be s(4). Calculate the greatest common divisor of 75 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301719793?\nAnswer: 37, 313, 26053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 11:34 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**7\/63 - 4*w**6\/15 + 22*w**5\/15 - 35*w**4\/9 + 17*w**3\/3 - 14*w**2\/3 + 20*w. Suppose u(q) = 0. Calculate q.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u - 361*u**2 - 2*u + 366*u**2 in the form q*u**2 + s*u + b and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**4\/24 + 5*v**3\/18 - v**2\/2 - 131. Factor d(q).\nAnswer: q*(q - 1)*(q + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 34 and -0.02463.\nAnswer: 33.97537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*z = -22, -g + 5*z = 2 - 6. Let i = -12 + g. Sort 5, i, -4 in descending order.\nAnswer: 5, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 9:22 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgl when three letters picked without replacement from {e: 9, g: 4, l: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.1, 1, -2472.3?\nAnswer: -2472.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 7 = 17*o - 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w - 9 = -14*w. Calculate the lowest common multiple of 27 and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 25 = 3*q, 4 = 2*q - 3*d - 12. Put 261, q, -2 in ascending order.\nAnswer: -2, q, 261","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*w - 263 = -84, -m - 4*w + 49 = 0. Suppose -d - 5*s - 40 = -3*d, 5*d - 30 = -5*s. Calculate the remainder when m is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11, 26, 101, 266, 551, 986, 1601, 2426?\n\"Answer: 5*s**3 - 20*s + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 smaller than 8276\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*b + 6 - 2)*(b + 0 + 0 - b + 4 - 4 + (0*b - 2*b + 0*b)*(4 - 5 + 3) + 1 - 1 + b).\nAnswer: 9*b**2 - 9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -7, 7, 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/12)\/((-2)\/(-40)). What are the prime factors of ((-10)\/(-5) + b)\/((-4)\/1776)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g**3\/11 + 1114*g**2\/11 + 37462*g\/11 + 9296\/11 = 0 for g.\nAnswer: -83, -56, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*z - 827*z = 23552 for z.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -18346?\nAnswer: 18330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -1.69 (c) 374\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.477101 rounded to 1 decimal place?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -252154111?\nAnswer: 252154114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l + 9. Is 31 a factor of p(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 258\/(-13) + (-24)\/156. Let d = h + 68. What is the lowest common multiple of 9 and d?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 233.8 - 234. Which is smaller: -0.1345 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 4:34 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/((-64)\/20) - 18\/(-24). Suppose 4 = l + 1. Solve l + 7 = y*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -82 + 77.3. Let h = r - -4.6924. What is h rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*u**2 - 2*u**2 - u**3 - 8*u**2 - 2*u - 1 to q*u + f*u**3 + c + h*u**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-407))\/(-15*(-92)\/(-7590))*(-3)\/(-6).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11318, 21491, 31652, 41801, 51938, 62063, 72176?\nAnswer: 82277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*x - 84*x - 3*s - 37 = 0, 7*x + s = 71. Let i be (-2 + 5)\/(-1 - -2). Suppose -i*c + c = 0. Solve 0 = -b + j - 4, c = -b + 4*j - x - 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4170, 4168, 4168, 4170?\nAnswer: 4174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 - -1 - (65 - 70) is divided by 46.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6152431, 12304861, 18457291, 24609721, 30762151, 36914581?\nAnswer: 43067011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**3 - u**2 + 3*u. Let d(x) = -11*x**3 + 4*x**2 - 8*x. Let o(g) = 3*d(g) + 8*w(g). Solve o(n) = 0 for n.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/5, 0.2, 0.3, -2\/7, -833, 67?\nAnswer: -833","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.1 and -5145.\nAnswer: -5143.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3.3. Let o = -22345 - -22350. What is the closest to 7 in 0, z, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 4*x - 51 = -16*o - 8*x, 4*x - 7 - 11 = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 621 - 573 = 0. Solve -4 = -4*f, 0 = 2*a + 2*f - 0 + c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1.1, -0.1, 0.4, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2. Let z(j) be the third derivative of -9*j**2 + 0*j**3 - 11\/6*j**4 + 0*j + 0. Give z(w(i)).\nAnswer: -88*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 327803 to the power of 1\/2, to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -250349*h*l*w**3 + 642656*h*w**2 + 2*l*w**3 - 2*l*w - w**3 wrt l.\nAnswer: -250349*h*w**3 + 2*w**3 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.29 in 0, -0.1, 0.2, 5.97, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 353366 (base 8) in base 9?\nAnswer: 203342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195 - 116 = 11*r - 69 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 97 + 0.094\nAnswer: 97.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 15*h - 4*h - 6*h - 6*h. Let u(n) = 4*n. What is u(j(y))?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a year in months?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*w = 22*w - a - 84 - 78, -5*a - 75 = 93 - 48 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -233 by -23.\nAnswer: 233\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 22 - 26) + 6 + 16 + 2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38333\/33869 + -2925\/3079. Let l = 2498\/11 - 226. Suppose l*x**3 - 2*x**2 + 8\/11*x + z = 0. Calculate x.\nAnswer: -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/33 and -26\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (3 - -2) - -3. Let k(u) = -g*u + 5*u + 12 + u. Determine k(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 149? (a) -0.06 (b) -6 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 6*k + k = 114, -2*b - 2*k = 80. Let w = b + 41. What is the second smallest value in -0.5, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) - (3*(1 + sqrt(700)))**2.\nAnswer: -6309 - 170*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-135)\/(-6))\/((1404\/5148)\/((-16)\/(-22))). Let g = 72 - -18. What is the highest common divisor of g and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 4\/5 (c) 3 (d) -0.104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -90937, -4, -5 in ascending order.\nAnswer: -90937, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27233529121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7075661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258933760.\nAnswer: 2, 5, 103, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 10, 4, 1, 2, 80, 0 in decreasing order.\nAnswer: 80, 22, 10, 4, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c = 77*c - 1019999. What are the prime factors of c?\nAnswer: 10099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -519.7946897 rounded to the nearest ten?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 9 + 0 + 0 + 41*t + 2026*t**2 - 2029*t**2. Calculate i(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(150)\/(sqrt(3) - 4*sqrt(3)*-2))\/(-1*sqrt(90)\/((sqrt(108)*1 + sqrt(108) + sqrt(108))\/sqrt(12))).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 1\/12, -8.5, 1, 7.\nAnswer: -8.5, 1\/12, 1, 3\/2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2496625 or -2496621?\nAnswer: -2496621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1508\/5568*84)\/((-3)\/(-36)*3).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100100110101110111 (base 2) in base 9?\nAnswer: 2227334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*h = -0*h - 40, 0 = -2*i - 2*h. Let s be 12*(-8)\/20*5\/(-4). Let x be 57\/s + 15\/6 + -2. Solve -x - 5 = -i*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 2346?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 11) to base 12.\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -20, 88 in descending order.\nAnswer: 88, 2, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286191737.\nAnswer: 13, 19, 23, 50377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 137470 and 603570?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1\/4, 0.7, 0.3, 230\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -7 - (-2 + (-9 - -5) - -10) - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10, 16, 58, 116, 190?\n\"Answer: 8*r**2 + 2*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*j - 7 = 0, q - 3*q + 2*j = -6. Is q\/(1 + -3 + (-2949)\/(-1473)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27035, -27038, -27043, -27050?\n\"Answer: -o**2 - 27034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6728872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7 - -6)\/(3\/(-6)). Suppose b*j = -0*g - 3*g + 4, -j - 5*g = -2. Suppose j*s - l = 237, l = 5*s + 5*l - 586. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/1848*14*143\/39?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + j**2 - 8*j + 3. Let b be n(3). Let m be b\/(-5) - (-11 - 6). Suppose -75 = m*l + l. Let w(u) = -u**2 - 4*u. Give w(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 157 - -12. What is the remainder when n is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 162564*w - 7534 - 1934 - 162567*w + (-2*w + 5*w - w)*(-3 - 4 + 5) to the form g + h*w and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103 - 13. Let t be 5\/(-10) - (-3 + (-294)\/b). Which is bigger: t or -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 3:22 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o - 6 = -s - 19*o, 4*s = 2*o - 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -271*t**5 - 2*t**3 - 266*t**2 - 2*t wrt t.\nAnswer: -16260*t**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-15) - 20\/(-21). Let v = -939 + 937. What is the closest to q in 1, v, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-406)*-40 + -2\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 3)*(k - 5*k + 2*k)*(227*k + 37*k - 5*k**2 - 2*k**3 + 4*k**2)*(3*k + 3*k - 5*k).\nAnswer: -12*k**5 - 6*k**4 + 1584*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1811 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: Expand (-5*r + 4*r - 2*r)*(2*r**3 + 0*r**3 - 3*r**3) + 4*r**4 + 2*r**3 - 2*r**3.\nAnswer: 7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**8\/84 + 11*d**7\/35 - 91*d**5\/30 + d**2 + 299*d. Find the third derivative of u(w) wrt w.\nAnswer: -240*w**2 + 1584*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4749.6 + 5424. What is v rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 r when two letters picked without replacement from ircccrg?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 + 0*d**3 - 4*d**3)*(-d - 2*d + 2*d) + (1 - 1 + d)*(-19*d - 29*d**3 + 19*d) - 3*d**4 + 3*d**4 + d**4.\nAnswer: -26*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 747 - 83 = 0. Let g = p - 79. Solve 3*j = m + 4 - 12, -2*j - g = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*o - 10. Suppose -n + p + 16 = 0, -2*p = 2*n - 11 - 5. Solve o*q = 3*q - n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4023, -4024, -4023, -4020, -4015, -4008?\nAnswer: -3999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.4791141 - -2.479. What is q rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2569719308 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*a = -68, -11 = 2*z + 2*a - 39. Calculate the remainder when 23 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3018*c**2 + 3840*c**2 + 471*c**2 to k*c + v + y*c**2 and give y.\nAnswer: 7329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 649, 5, 4, 1728 in increasing order.\nAnswer: 4, 5, 649, 1728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-72 - (14 - (38 + -20)) - 9)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 3. Let c(d) = 1. Let t(l) = 1. Let f(v) = -8*c(v) + 5*t(v). Let h(a) = 2*f(a) + 3*n(a). Let x(j) = 9*j - 8. Give 8*h(p) + 3*x(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(168)\/(1*sqrt(7)))\/(sqrt(588)*-1).\nAnswer: -sqrt(2)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0461262 rounded to two dps?\nAnswer: 1.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 406 and 1508.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3 - 80064*q + 1.\nAnswer: -80064*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19047 = -11*t + 24073. Is 140 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-9) + (-12)\/27*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266 and 955871.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -732, 0, 5 in increasing order.\nAnswer: -732, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 85 = 12*b. Let n = -1 - -1. Suppose n*c + 3 = 3*c - 3*t, -2*c - 4*t + 8 = 0. Solve -3*m - d - b = 0, 3*m + c*d + 19 = -0*d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 142 (b) -1 (c) -0.1 (d) -0.3 (e) -65 (f) -2 (g) -303\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3283, 1, 12, 2, 32 in ascending order.\nAnswer: 1, 2, 12, 32, 3283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 12. Let q be 7 + (-3)\/((-9)\/6). Let d be u(q). Solve 4*k + 19 + 4 = i, 0 = d*i - 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31034 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 7*w + 964. What is x(28)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 3 + 0)*-2. Suppose -q + 6 - 4 = 0. Let y be (q*2\/h)\/1. What is the third smallest value in -0.3, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 13*g**2 - 290*g + 873. Give y(3).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61304585?\nAnswer: 5, 12260917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -4. Let n be (-2 - z)\/((-4)\/6). Let p = n - -29. Solve 9 = 2*f - v + 4*v, -2*f = -4*v + p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1119.24 - -1050. What is w rounded to zero dps?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x - 6*x + 13 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1029*b + 87. Let y be n(-2). Which is greater: y or -1972?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 11*w - 9. Let r(b) = -b. Let k(z) = m(z) + 2*r(z). What is the tens digit of k(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-44)*((-35)\/((-2800)\/(-1216)) - -16)?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -69 + 25 - -14?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**4\/12 - h**2\/2 + h. Let n be o(2). Suppose -b + 4 = 0, 37 = m - 0*m + 4*b. What is the highest common factor of n and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v**2 - 2*v + 38. Let z(r) = 101*r - 4956. Let b be z(49). Let p(i) = 13*i**2 + 7*i - 113. Calculate b*g(c) - 2*p(c).\nAnswer: 2*c**2 - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (308\/385)\/((45\/(-50))\/(-3))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 56 = 3*n - 5*c, -5*c - 135 = -5*n. What is the tens digit of n - ((-2)\/(-6))\/((-7)\/(-63))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 4) to base 7\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -52 in descending order.\nAnswer: 5, 4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-39412)\/(-7) - 62\/217. What is the greatest common factor of 26 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 - 77840*y**3 + 155686*y**2 - 77844*y.\nAnswer: -2*y*(y - 1)**2*(y + 38922)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 11:47 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 663 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 43865 + 1b?\nAnswer: 43881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + -2 - ((67 + -18 - 84) + 5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -178 - -193. Suppose 0 = 10*o + 14 - 64. What is the lowest common multiple of h and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.7 + -1.6. Let o = 2.1 + -4.9. Let g = o - -3. Which is smaller: g or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -147386 or -147385?\nAnswer: -147386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x + 2*x + 3*x. Let y(n) = 11*n**2 - 89 - 93 - 98 + 280. Determine y(t(p)).\nAnswer: 99*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2. Let m(g) be the third derivative of 5*g**4\/6 - g**2 - 14*g. Calculate w(m(v)).\nAnswer: 1200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -10.4.\nAnswer: -20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28886338.\nAnswer: 2, 13, 1111013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5.7 (b) -1 (c) 4 (d) -222 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 315\/294*(-10)\/25.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1715*s**2 + 1. Let b(p) be the third derivative of p**5\/30 - 23*p**2 - 3. Determine t(b(u)).\nAnswer: -6860*u**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - w - 3*n - 8, -w - 4 = 2*n. Let p(h) = -h**3 - 4. Let g(t) = 1. Determine w*g(c) - p(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 7 = -y, 3*y + 10 = 3*a + 4*y. Suppose a*u = 2 + 4. Calculate the smallest common multiple of u and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 633098*u**2 - 11 - 633096*u**2 + 202*u + 3 in the form q*u**2 + a + x*u and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6589747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*y - 5*y + 30*y + 266 - 10*y to o + x*y and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -3*y**8\/56 + y**7\/35 + y**6\/12 + y**5\/30 + 2*y**2 + 4. Let g(t) be the second derivative of x(t). Factor g(m).\nAnswer: -2*m**2*(m - 1)*(3*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**(-1\/20))\/y)\/y**(2\/45))\/(y**14)**(1\/54) assuming y is positive.\nAnswer: y**(349\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 10:06 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*t - 110. Let n be (-48)\/(-22) + (-10)\/t. Is 252\/n - (-1 + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-44 - (9 + -1 - 17))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1342 + -799. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 101*j - 273 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*u - 13 = 0, 3*u = -d + 5*d + 32. Suppose 4*x + 4*x = 56. Let t = d + x. Solve 5*o - 31 = 4*v, 2*v = o - t*o - 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -571786907*z**2 + 200825891?\nAnswer: -1143573814*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 23866.14 seconds?\nAnswer: 23866140000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3432 divided by 13.\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*k = 3*d + 58*k - 31, d = 5*k + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39830.\nAnswer: 2, 5, 7, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -41315\/5283 != -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 457 - 308. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/(-32)*-8*1\/3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 60?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -87610 - 3?\nAnswer: -87613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/96)\/((-4)\/3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38700708?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56.04 + -61. Let t = q - 0.04. Let i = -0.8 + 5.8. What is the third smallest value in t, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 + 33778415176497312*w**2 - 33778415176497310*w**2.\nAnswer: w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/1111738 and 19\/141?\nAnswer: 3335214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 0.14, -2\/7, 0.16?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, 5, 13, 25, 41, 61?\n\"Answer: 2*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.89 and -1\/67 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.7 + -24.4. Let i = -33.1 - p. Let t = 401\/6 - 67. Which is the smallest value? (a) i (b) 1 (c) t (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 9. Let t be ((-6)\/(-4))\/(3\/66). Let h = t - 9. What is the highest common divisor of m and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.932918 to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**3\/3 + 11*w**2\/2 + 11*w + 9. Let o be 185\/555*(-66)\/2. Give b(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -27. Sort f, 0, 0.3, 1\/10 in ascending order.\nAnswer: f, 0, 1\/10, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811044043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/8 + 6681*b**2\/4 - 5581140*b + 11155600.\nAnswer: -(b - 6680)**2*(b - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/22 and 122\/16*(-1 - -3).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9050558 - 2792263?\nAnswer: 6258295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 2*n + 3 + 0*n + 0 + 0. Let u(x) = -9*x**2 + 17*x + 3. Let z(w) = 5*w**2 - 9*w - 2. Let t(p) = 6*u(p) + 11*z(p). Calculate -3*l(q) - 2*t(q).\nAnswer: q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -19, -59, -115, -187, -275?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333912 is divided by 742?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*i = 3*d - 1, 4*i - 26 = -3*d. Suppose -i*g + 92 + 493 = 0. What is the common denominator of 73\/12 and (g\/(-60))\/1 + -3?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -31?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 7125230.4.\nAnswer: 712523.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 0 + sqrt(108))**2 - sqrt(108))*-2 - (3*sqrt(432) - (-3 + sqrt(147) - sqrt(147))).\nAnswer: -219 - 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130267, -129952, -129427, -128692?\nAnswer: -127747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 - 3*z**3 + 0*z**3 + (z + 4*z - 3*z)*(-2*z**2 + z**2 + 0*z**2) + 0*z**3 + 4*z**3 - 8*z**3.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13769 - -15797. What is the remainder when y is divided by 67?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 18*w**2 - 69*w - 80. What is v(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155, 159, 163?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*j + 44*j - 39 - 150. Let l(g) be the first derivative of -g**4\/4 + 2*g**3 + 9*g**2\/2 - 2*g - 4. Give l(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 less than -561004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*s, 4*o = 2*o + o + s - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 804 divided by -268\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/2)\/(152\/(-76)))\/((-18)\/(-60)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r. Let l(z) = -43*z**2 + z + 4460. What is y(l(q))?\nAnswer: -172*q**2 + 4*q + 17840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.2 - -0.4. Let z = 1.8 + w. What is the second smallest value in -0.5, -7\/3, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -4402?\nAnswer: -4403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 - -0.4. Let y = -0.8 + m. Let o = y - -0.6. Sort -2\/13, 3, o in increasing order.\nAnswer: o, -2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1305579, -5222416, -11750477, -20889762, -32640271, -47002004?\nAnswer: -63974961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 16. Let h be x(-18). Solve 6*w - h*w + 8 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1978.\nAnswer: 1\/989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/6 - ((-322985)\/15)\/13 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20431.4850045 - 20410.485. Let z = 20.8 + 0.2. Let u = z - d. Round u to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5, 11, 27, 59, 113, 195?\n\"Answer: x**3 - x**2 + 2*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -5*s - 2*z, 5*s + 4*z - 84 = 36. Let q(k) = -3*k**3 - 6*k**2 - 2*k - 3. Let a be q(-3). Calculate the highest common factor of s and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/34933842 and 7\/12938460.\nAnswer: 349338420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117585330?\nAnswer: 2, 3, 5, 191, 20521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**2 - 4*n - 4. Let d(w) be the first derivative of w**3\/3 + w**2\/2 + w + 66. Let j = -11 - -20. Calculate j*d(x) + 2*v(x).\nAnswer: 3*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-6)*a*a*a**(-21\/4)\/a*a assuming a is positive.\nAnswer: a**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**3\/6 + n. Let p(u) = 3*u. Let m(r) = 2*r. Let x(j) = -4*m(j) + 3*p(j). What is k(x(q))?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2 = -5*d + 4*a, -a = d - 4. Let b be 1 + (4 - (-8)\/(-2)). Suppose -2*n - 3*q + 4 = -b, 2 = -3*n + 5*q. Solve -d*s = -s - n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 9:26 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.31 + -13. Let x = 0.11 - t. Is x at most as big as -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -1\/15*a**6 + 0*a**3 + 0*a**2 + 6*a + 0*a**5 + 0 - 1\/12*a**4. What is the third derivative of x(z) wrt z?\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 16 = -3*k, 3*k - 22 = -2*s. Suppose -2*l + 5 = -5*o + 24, -s*l = 5*o - 5. Does 4 divide -14*-2*o\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a millennium in months?\nAnswer: 88800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 96 = -11. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -279 + 278.877. Round n to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h. Let u(f) = -100*f - 20. What is u(r(d))?\nAnswer: 200*d - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 3619.\nAnswer: 10857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187 = 3*s + 4*j, 89 = -2*s + 5*j + 50 + 267 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4390.5 + -4390.5. Let f = 5.8 + -0.8. What is the nearest to -1 in f, q, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e4 + -3?\nAnswer: -1e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)*b)\/((b*b**(-1\/4)*b*b*b*b*b)\/b))**(-1\/2)*(b**(-2))**(8\/15)*(b**(-1\/8)\/b*b)\/b**(-8) assuming b is positive.\nAnswer: b**(551\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1465 - 1383. What is the greatest common factor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -4. Let b be ((-6)\/i)\/(24\/20). Let x be (-2)\/(-4)*(-10)\/(-15). What is the nearest to -0.1 in -0.5, b, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (6 - (-3 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10889198483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1784 is divided by 153.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3901121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/287595 and 11\/92435?\nAnswer: 759538395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6279*w**3 - 235*w**2 + w - 2 wrt w?\nAnswer: 37674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 469*z**2 - 66*z + 24. Let v(d) = 56*d**2 - 8*d + 3. Let p(k) = 6*a(k) - 50*v(k). Let q(o) = -9*o**2 - 3*o + 4. Determine 5*p(n) + 8*q(n).\nAnswer: -2*n**2 - 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (12*(-1)\/(-2))\/((-24)\/(-32))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102401929*r**2 + 454404181*r wrt r.\nAnswer: -204803858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0.1. Put -2\/7, 5, w in descending order.\nAnswer: 5, w, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -194481\/10 + 42\/5*w**3 + 18522\/5*w - 1\/10*w**4 - 1323\/5*w**2.\nAnswer: -(w - 21)**4\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -317\/2 (b) 0.1 (c) 1.19 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.01, 922, -23?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 273312.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76430.52 millilitres in litres?\nAnswer: 76.43052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + (sqrt(102)\/sqrt(6)*-3 - (sqrt(153) + sqrt(17) + 3))*-5 + 3)**2.\nAnswer: -127596 - 8820*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*j + 4 - 140*j - 143*j.\nAnswer: -8*j + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 3*i - 11. Let z be h(-7). Let r(f) = 4*f**2 + 8*f + 15*f - 38*f - 1 + z*f - 7*f**3. What is the units digit of r(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (400\/88)\/(-5)*-11. Let b be d + (-17)\/2 + (-6)\/4. Determine j so that 0*j - 2\/3*j**2 - 2\/3*j**3 + b = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3430081054 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23220309 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1573832 rounded to three dps?\nAnswer: -0.157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 103, 2\/15 in descending order.\nAnswer: 103, 3, 2\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*m**4 - 5*m*z**2 - 26*z**2 wrt m?\nAnswer: -28*m**3 - 5*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 203600?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2816, -5709, -8602?\nAnswer: -11495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l - 35. Let h be n(-16). Let t(p) = 7*p**2 + 5*p + 7. Let g(z) be the first derivative of -4*z**3\/3 - 3*z**2\/2 - 4*z - 6. What is h*t(v) - 5*g(v)?\nAnswer: -v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -5 (c) -2 (d) 0.05 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 9*r - 7*r. Let t be (3 + 7)*r\/4. Suppose 0 = -4*m + 9*m - t. What is the remainder when 15 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 times 0.09009?\nAnswer: -99.9999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.4109237 times -18\nAnswer: 7.3966266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 8. Suppose -107 + 32 = -5*x. Suppose 0*m = -c*m + x. Solve 17 = m*l - 0*g + g, g = 2*l - 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = q - 17, 3*d = 4*q - 6 - 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9.419397 nanograms?\nAnswer: 0.000000009419397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 6 = -16*n. What is the smallest common multiple of ((-4)\/(-6))\/(4\/30) and 1\/(3\/n - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 12 + 6*f + 13)*(4*f**2 - 6 + 6).\nAnswer: 20*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -22 - -25) + -45 - -46.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3*n, n = 5*z - 3*n + 46. Let x(m) = -4*m - 5. Let h be x(z). Solve 5*i - 4*b = i - 8, 2*i - 5*b + h = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -17*i + 88. Let p(x) = -6*x + 42. What is p(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*c + 40 = -403*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -29\/5 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80320 and 5344?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68099?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.0665 rounded to 1 decimal place?\nAnswer: -17.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7807.069 hours?\nAnswer: 28105448400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l*l**1*l)\/l))\/(l**6*l))\/(l**(2\/5))**(1\/48))\/((l**2\/((l*l*l**(-3))\/l))\/(l**6*(l\/l**(-5\/2)*l)\/l)) assuming l is positive.\nAnswer: l**(-301\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3688*(-10)\/20*14\/(-8)?\nAnswer: 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1922, 3842, 5760, 7676, 9590, 11502, 13412?\n\"Answer: -p**2 + 1923*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639288809.\nAnswer: 53, 12062053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 946 is divided by 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-3) + -2)\/(-22 + 7420\/336)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dcqddqq. What is prob of sequence qqcd?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(52)*-1 - sqrt(13) - sqrt(13)).\nAnswer: -16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4132 * 978.\nAnswer: 4041096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3 - 2) + (-10)\/14)\/((-1188)\/(-2268)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/21 + 3 - 25\/(-35).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgl when three letters picked without replacement from {t: 3, g: 4, l: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 5*d - 22, 14*i - 9*i - 2*d - 62 = 0. Suppose 16*k - i*k = 3988. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/22 + 318\/66. Suppose -2*h + 585 = n*i, -i + 134 = -5*h + 2*h. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5165 - 3505. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -80, -158, -298, -524, -860?\n\"Answer: -4*q**3 - 7*q**2 - 29*q - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-3)*-1*(-3)\/48*4.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/33679866 and 47\/14.\nAnswer: 235759062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*o + 5*o**3 + 35\/2*o**2 + 0 - 5\/2*o**4.\nAnswer: -5*o*(o - 4)*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*((-3)\/2 + 355\/230). Let h = -28 + 30. Suppose h*z + 5*p = -3*z, 7 = 4*z - 3*p. Is c < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -44*f + 41*f + 8, 2*f - 2*v - 4 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 36*h - 221. Let v be l(6). Which is the nearest to -29? (a) -2\/3 (b) 2\/7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/825)\/(((-3)\/(-9))\/(1\/3))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 158868 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 310 - 306. Let t(y) be the third derivative of 0 - 1\/24*y**m - 4*y**2 + 0*y + y**3. Differentiate t(j) wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-4)\/(-4)) + 1. Solve -3*d + k + 4 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6373 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 453, 479, 525, 591, 677, 783?\nAnswer: 909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + p**4 + 3 + (-3 + 3 - 2*p**3)*(2*p - 5*p + 2*p) - 2*p**4 + 0*p**4 + p**4 - 6*p**4 + 2*p**4 + 3*p**4 + 5748*p**2 - 10*p**4 + 1 - 5748*p**2.\nAnswer: -9*p**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*-2*(-6)\/(-36).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*c**5 - 81*c + 81*c)*(688 - 637 + 16 + 4594 - 491).\nAnswer: -108420*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -518 + 3644. What are the prime factors of i?\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 636.608789 + 1198\nAnswer: 1834.608789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/36 and -145\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 993, 996, 1001, 1008, 1017?\nAnswer: 1028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -18. What is the third smallest value in 2\/3, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -33*x - 35. Let w(l) = 11*l + 12. Let u(z) = -3*h(z) - 8*w(z). Let c be u(-3). Let o be 5440\/c*(-2 + -223). Round o to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19884793 and 692?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 j when four letters picked without replacement from vvjevvjjjjj.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-144 - -160) + -2 + -4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 3. Let o be (10\/8)\/(4\/(17 - 1)). Suppose o*h - 7 - m = 0. Is h equal to 10\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*x = -26, -2*q = x - 3 + 6. Let p(u) = -u**2 - 6*u - 6. Let w be p(q). Suppose 6 = n - w*h, -6 = 3*n - 4*n - 2*h. Is n > 20\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, -4\/5, 0, -2 in ascending order.\nAnswer: -74, -2, -4\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -229.556 and -5.\nAnswer: 1147.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -25 + (39 - 4) - ((-2 - -12) + 3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-59 - -59) + 3 + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/12)\/(1\/(-4)). Suppose h*t + 2*t = 200. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -122, -189, -258, -329, -402, -477?\nAnswer: -554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2a93a75 (base 11) to base 12\nAnswer: -19318a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-64)\/(-20))*(-2768)\/(-8996)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmctmnmh. Give prob of picking 1 h and 3 m.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 225 + 5?\nAnswer: 22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 i when four letters picked without replacement from iitiiiiiiit.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*(sqrt(5) + ((sqrt(50) + 2*sqrt(50))\/sqrt(10) - sqrt(5)) - sqrt(720)*1))**2 + 0 + -4.\nAnswer: -814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 32 (b) 11369\/3 (c) 0.9 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-8)\/h))\/h**35 assuming h is positive.\nAnswer: h**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 23. Let m = 1 + -4. Let t = y - m. What is the closest to 0.2 in 3\/2, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3621.387 times -63?\nAnswer: -228147.381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3593 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 2*u + 10 - 3 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - i**2 + i + 2. Let m be b(0). Suppose -19 = 13*r + 13 + 7. Sort -1, r, 5, m in increasing order.\nAnswer: r, -1, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 7, -1\/3, 4\/3, 0.03872 in descending order.\nAnswer: 11, 7, 4\/3, 0.03872, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**3 - 82 - 84 + 39 + 127.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**3 + 281*y**2 + 202*y + 221. Is z(-66) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -12\/5, -1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1500460 divided by -5.\nAnswer: -300092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001913512421 to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*g**5 - 18769*g**4 + 5*g**2 + 787651*g + 4.\nAnswer: -100*g**3 - 225228*g**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5\/4 + t**4\/2 - t**3\/4.\nAnswer: -t**3*(t - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10048800 and 90439200.\nAnswer: 90439200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -136 divided by 6\nAnswer: -68\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-8) - (2232\/(-96) - -23). Let b(l) = -4*l**3 + l**2 + l - 1. Let c be b(1). Sort 3, c, n, 5 in increasing order.\nAnswer: c, n, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6680\/21 + 318. Let g = -31\/105 - y. Let l = 11 - 34\/3. Which is the third smallest value? (a) g (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 65.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6899 - 138019\/20. Let j = 479\/12 - 41. Find the common denominator of j and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 37 = 2*r, 0 = -2*r + 4*r + 3*d - 13. Let a(q) = 7*q**2 + q + 2. What is the lowest common multiple of r and a(-1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252\/(-72)*8\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 0 - 6\/35*j**7 + 0*j**3 - 169\/3*j**4 + 0*j - 1573\/15*j**5 - 227*j**2 - 118\/15*j**6. Find g such that q(g) = 0.\nAnswer: -13, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = -l - l - 4*x - 2, l + 5*x - 910 = -908 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 220, -1\/2, 2\/7, 3?\nAnswer: 220","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2640.999999356 + 2641. What is p rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 491, 1909, 4265, 7553, 11767?\n\"Answer: -k**3 + 475*k**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - ((74 - 42) + -47).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.4696m in millimeters?\nAnswer: 24469.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2559961417?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*l + 3859 + 5597 = 0, 0 = 4*c + 2*l + 37854. What is c rounded to the nearest 100?\nAnswer: -9500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38065 a multiple of 331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 2. Let g be ((-4)\/4)\/((-2)\/(-46)). Let i = g - -16. Let x be h(i). Solve 5*n - x = 15 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.03018824 and -2.\nAnswer: -1.96981176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -5975*y**4\/12 + 8267*y**3\/6 + y**2 - 766*y + 1. Find the second derivative of a(t) wrt t.\nAnswer: -11950","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**3 - 2*r**2 - r. Let x be s(-1). Suppose -h - n - 10 - x = 0, -3*h + 4*n = 12. Calculate the common denominator of 251\/(-12) + 2\/h and 57\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0.4. Let u = -0.6 + 4.6. Let q = u - 4. Which is the closest to -2\/3? (a) 0.5 (b) q (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -311.5808016 to the nearest 10.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 - (-2 - -8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/5 + 46*i**2\/5 + 197*i\/5 + 30.\nAnswer: -(i - 50)*(i + 1)*(i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7657\/6 + 1280. Calculate the common denominator of f and 37\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-45)\/18)\/(34\/28 + -1). Let a(q) = -11*q**2 + 31*q - 5. Let m be a(3). Is m != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*s - 25*s - 156 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-1 - (-2 - -1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*n**2 - 699*n**2 + 18922 - 18922.\nAnswer: -676*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25158726 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*x - 32*x - 165946. What is the thousands digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67753?\nAnswer: 7, 9679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 786 is divided by 97.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from nuezzuce?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**3 - 3*i**3 + 12*i**4 + (-35*i + 3*i**2 + 35*i)*(2*i**2 - 3*i**2 + 3*i**2).\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2187 = -3*q - h + 6*h, -5*h = -4*q + 2911. List the prime factors of q.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by 1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-147)\/(-175))\/(153\/(-85))*2*3.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -98 - -94. Suppose 4 - 1 = z. Sort z, -5, b in decreasing order.\nAnswer: z, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (783\/(-18))\/(12\/24*3).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23403 - 23400. Sort 0, -1, f, 890, 1.\nAnswer: -1, 0, 1, f, 890","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -907*z**3\/2 + 52*z**2 - 11*z + 37. What is the first derivative of o(v) wrt v?\nAnswer: -2721","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62188 - -93244. What are the prime factors of p?\nAnswer: 2, 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 - -0.1. Suppose 0 = -2*y + 2. Let j = 29 - 28. What is the closest to j in y, -4\/3, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 2:12 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -105*d - 184*d + 53*d. Let b(n) = -n. What is p(b(x))?\nAnswer: 236*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 984 - 983.9349. Let c = o + -2.0651. What is the biggest value in -1, 2\/5, c, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -11*w + 14. Let o(a) = -4*a + 5. Determine 17*o(m) - 6*u(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18449 = -16*t + 16224 + 61839. List the prime factors of t.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2. Suppose 26 = 3*x + 2*u, -6*x + 28 = -j*x - 4*u. What is the lowest common multiple of (-2 + (-23)\/(-3))\/((-1)\/(-6)) and x?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431*a - 597 = -1041*a + 26592 + 15499 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1288 - -754. Let n = h + 534.000357. What is n rounded to 5 dps?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 6:55 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2272 and -334.3.\nAnswer: -759529.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -20601\/232 at least -89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5132859 to the power of 1\/2, to the nearest integer?\nAnswer: 2266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 8:43 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -5. Let g(h) = h**2 + 24. Let x be g(n). Suppose 3*m + m = x. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569905 at least -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -2*c + 282. Let x = c + -112. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 19) + -2 - -17?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -27.5. What is the closest to 0.3 in u, 2\/15, 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 70 = -2*i - 0*k, -k = i - 31. What is the remainder when 50 is divided by i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2431 + 0?\nAnswer: 2431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 - ((12 - (8 + -5 - 1)) + (-4 - 6))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 5 = -3*p. Let k be p\/(-5)*170\/(-51). Let i(o) = -o**3 - 3*o**2 + o + 2. Give i(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**4 - 2203*l**3 + 66882*l**2 - 241060*l + 232232 = 0.\nAnswer: -2233, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 160306420 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**4 - 10 + 6*l + 0*l**3 + 1 - l**3 - 4*l to the form k + c*l**2 + y*l**3 + o*l + h*l**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 93*x - 148 - 34*x + 3*x**2 - 68*x to g*x + i*x**2 + l and give l.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7226*c + 12720*c - 8619*c.\nAnswer: -3125*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-290)\/1015)\/(3\/((-210)\/16)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-15)\/(-5)*(-1640)\/(-140220)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4064882 and 582.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = 3*s + 4*v, -5*v + 370 = 5*s - 3*v. What is the remainder when s is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/8)*n**2\/n)**27\/((((n*n**(-5)\/n*n)\/n)\/n**7)\/(n*n**5\/n*n*n*n**(-6)*n*n)) assuming n is positive.\nAnswer: n**(309\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t. Let z(y) = -5*y - 7*y - 8*y + 5*y. Let x(d) = 12*q(d) + 5*z(d). Let v(s) = -s. Give x(v(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 50*m - 2 + 8*m**4 + 2*m**2 - 3*m**4 + m**3 - 51*m to the form h*m**4 + c + t*m**2 + y*m + w*m**3 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 1024*h**2 - 16*h + 14. Give c(1).\nAnswer: 1022","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3686 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 + -51. Suppose -j + 55 = t*h, 3*h + 3*j - 8 - 13 = 0. Calculate the highest common factor of 32 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-640)*8*-104\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 7*c**2 + 1\/15*c**5 + 7\/120*c**6 + 0*c**3 + 0*c + 0*c**4 + 0. Find the third derivative of y(t) wrt t.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, d: 2, j: 7, w: 8}. What is prob of picking 3 j?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 263993.803 and 1.05677.\nAnswer: 263994.85977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -17*t**2. Let i(b) be the first derivative of -b**3\/3 + 7. Give i(x(a)).\nAnswer: -289*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -34663.4 to the nearest 1000.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*x**3 + 49 - 14*x**3 - 22*x**3 with respect to x.\nAnswer: -141*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 13 = 289. Let a = s - 43. Solve a*x = f + 19, 5*f - 4*x = -0*x - 40 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62880*-57\nAnswer: -3584160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffrarfrffa. What is prob of picking 2 f and 2 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90 + 90.9. Which is the biggest value? (a) -1\/4 (b) f (c) 5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 0*h**5 + 0*h**3 + 4*h**2 + 0 + 0*h**4 + 16*h - 23\/30*h**6. What is the first derivative of a(t) wrt t?\nAnswer: -92*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4376 smaller than 30638\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 715.8 - 715.9. Let n = -3\/4 + 1\/4. What is the nearest to s in -1\/3, 12, n?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggyxxyyyyxyy. What is prob of picking 2 y, 1 g, and 1 x?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 59965.9l in millilitres?\nAnswer: 59965900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/11 (b) -1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**2\/2 + 1. Let v(p) = -p + 2. Let l(m) = 6*m - 15. Let y(c) = 2*l(c) + 15*v(c). Determine h(y(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185759349?\nAnswer: 3, 4751, 13033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.574568 to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, -1\/2, -0.09?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**2 + 3*u + 5. Let w(f) = 0*f**2 + f**2 - 15*f + 18*f + 0 - 1 - 4*f. Let n be 1*10*2\/4. Suppose n*l - 2*l = 6. Determine l*d(q) + 9*w(q).\nAnswer: q**2 - 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/6 and 17\/717.\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 9. Let o be i(6). Let q(z) = -4 + 5*z + 2*z - o*z - 5*z. Determine q(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-24)*5)\/(100\/(-1740)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 938737 is divided by 870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(2\/(2\/2*5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-4))\/(2\/32). Let w(p) = -3*p - 8 + 0 + 6*p - 5*p. List the prime factors of w(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 147860*n**2 - 147897*n**2 + 2 to r + f*n**2 + b*n and give f.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w + 34 = 0. Suppose -w = -3*f + 35. Let r = 95 - f. Calculate the highest common factor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-930)\/(-5))\/((-45)\/(-840))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1214*i + 589*i - 4 + 630*i.\nAnswer: 5*i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -128583, -128451, -128223, -127893, -127455, -126903?\n\"Answer: p**3 + 42*p**2 - p - 128625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 = 0, 3*v = -2*f - 2 + 7. Suppose -v*i - 4*y + 45 = -0, -2*i + 2*y = -30. Suppose 0 = -4*a + 5 + i. What is the biggest value in 2, -0.1, a, -4\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -15. Let h(b) = 25*b + 10. Let c be h(-4). Let x = -86 - c. Calculate the highest common divisor of x and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q**(1\/2)\/q)\/q)*q)**1)**(-10)\/((q**7*q*q**(2\/11))\/((q\/(q\/q**(-1\/8)))\/q**(-2))) assuming q is positive.\nAnswer: q**(-3635\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47.013 + -47. Which is bigger: a or -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27902.2936 to the nearest one hundred.\nAnswer: -27900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*k**2 + 10*k**2 + 43*k + 57*k - 82*k to s*k + w*k**2 + l and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102*a**2 - 4*a**4 + 102*a**2 - 5*a)*(4 - 2 - 17).\nAnswer: 60*a**4 + 75*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*l - 2 + 9*l - 18*l + l in the form w*l + v and give w.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/33)\/i*((i*i**(-5\/4))\/i)\/i*i*i*i)\/((i*(i*i*i\/i**(-2\/15))\/i)\/(i\/(i\/i**(10\/9)*i))) assuming i is positive.\nAnswer: i**(-4379\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150526.\nAnswer: 2, 73, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/45)\/(50\/(-1200)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(104) + sqrt(104)*-1 + sqrt(104)) - sqrt(104))\/sqrt(8) - (-1 + sqrt(1053))*1) + 3.\nAnswer: -12*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -880 and -1594.1.\nAnswer: 1402808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-2) + (-7)\/7. Suppose -y*m + 6 = -2*c, c + 6 = 3*m - 7. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14228993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -70462.278 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 10*w**2 - 3*w + 195. Is s(-33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ddb (base 14) in base 7?\nAnswer: -10664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2961 or 2960?\nAnswer: 2960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 5*c + 6. Suppose -82*s - 39*s + 10 = -232. Determine p(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 23*x - 1 - 3 + 1. Calculate the remainder when d(2) is divided by (-155)\/(-7) - ((-20)\/5)\/(-28).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6 - 6 + 2*n. Let u(w) = 47*w**2 - 2*w + 2*w - 51*w**2. Give u(p(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -6. Determine o so that 2 - w - 2*o**5 + o**4 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -16, -71 in decreasing order.\nAnswer: 5, -4, -16, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 5*z**2 - 3*z + 2. Let d be j(-4). Let o be d\/9 + (-56)\/(-333). Let l = o + 84\/185. Is l greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 7921440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 106, 2 in decreasing order.\nAnswer: 106, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 3*k - 10 + 2, 3*k = -y + 4. Let q = -45 - -45. Solve y = -2*j - q*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/15)\/(3\/(-15)). Suppose 0 = s + t*s - 18. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -302 - -489. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -c - 4*c - 7, -5*z = 3*c + 12. Solve -4*o = -3*o - c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**3 + b**2 - 1. Suppose -3*t = -5 - 7. Let m(d) = -t*d**3 - 5*d**3 + 8*d**3. Calculate -m(s) - q(s).\nAnswer: -2*s**3 - s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 69 = -2*o. Let x = -11 + o. Suppose 0*g - 30 = -5*g. What is the lowest common multiple of x and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -372*s**3 - 10418*s**2 - 122*s - 1843. What is n(-28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 1094*q**6\/3 + 23*q**2\/2 + 32*q - 19. Find the second derivative of g(c) wrt c.\nAnswer: 43760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 34. Is 1 + -1 + (-4)\/(t\/(-99)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -5. What is the least common multiple of f and (-3)\/6*-20 - 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7624 - 7618. Let h = -0.3 - -0.3. What is the nearest to -0.2 in h, 3, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 - 144 + 623 = -73*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7*q + 4. Give u(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (55*h**2 - 293*h + 293*h)*(3*h + h - 2*h) to o*h + i*h**3 + k*h**2 + u and give i.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1230 divided by -6?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, 2, 3\/2, 4\/3, -6\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-0.192596.\nAnswer: 0.0385192","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Simplify b**(1\/4)*b**(-2\/17)*((b**(3\/7)*b)\/b)\/(b*b*b\/(b\/b**(-1\/3))) assuming b is positive.\nAnswer: b**(-1579\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 417 and 3065367?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 106 + 76 - 2*a**3.\nAnswer: -2*a**3 + 149","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*t + 68*t + 44 + 59*t + 75*t - 242*t.\nAnswer: 21*t + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 20 - (-9 + 2 + (10 - 59))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 d when two letters picked without replacement from {w: 1, d: 12}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s + 2*s + 8 - 6*s + s to f + d*s and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**6\/a*a*a**(-7)*a*a*a)\/(a\/(a\/(a\/a**(-7)*a))*a*a\/(a\/a**1)*a))**(-33) assuming a is positive.\nAnswer: a**297","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, n: 2, x: 1}. What is prob of picking 1 x and 2 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 0 (c) 10.01 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b + 81. Let g be z(-30). Let n(l) = -l**2 + l**3 - 6*l + 8*l**2 - 6*l + 20 - 8*l. Let d be n(g). Calculate the greatest common factor of d and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2208 divided by -12.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 less than 81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3569*u + 1699*u**2 - 887*u**3 - 22*u**3 + 3569*u wrt u.\nAnswer: -5454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3. Let c(l) = -l**2 + 5*l - 3. Let u be c(3). Let f be (u + z)\/(2\/10). Solve -4*w - 3 = -f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.1. Let h = 0.5 - -2.5. What is the closest to -1 in u, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-258)\/860*(2\/5 + (2772\/(-405) - -6)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - f**2 - 4*f)*(f**2 + f**2 + 0*f**2) + 3*f**4 - 12*f**4 + 4*f**4.\nAnswer: -7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + 2*g - g - 316 + 37*g + 316 + (5*g - 3*g - 3*g)*(-5 + 6 + 0) to o + k*g and give k.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112765855?\nAnswer: 5, 19, 1187009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434572366.\nAnswer: 2, 29, 41, 182747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155976?\nAnswer: 2, 3, 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2. Let b be 15 - 0 - y*-2. Suppose 0*c + 4*c = -5*u + b, -3*c = 4*u - 12. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -471*n + 1 - 3*n**3 + 480*n - 3 + 4*n**2 wrt n.\nAnswer: -18*n + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -f - 3*f. Is 16 a factor of f\/(-35) - (-764)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 11262522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 606 = 4*o + 40*f - 35*f, 126 = o - 3*f. Calculate the highest common divisor of 66 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10 + 10)\/(5 - 4). Solve -10*d + 4*d + 30 = n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + l + 4. Let m be v(-2). Let d be (7\/(-2) - m)*8\/(-6). Let x be (-16)\/d + 15\/5 - -3. Is 1\/17 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**5\/20 + q**4\/3 + q**3\/2 - q**2\/2 - q. Let c be (-15)\/(-6)*18\/15. What is the units digit of z(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-2) + 0)\/2. Let q = r + 0. Suppose -23 = -o - 0*o - 5*i, 2*o + 3*i - 18 = q. What is the highest common factor of 21 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {q: 9, e: 10}.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12500 + 5607?\nAnswer: 20307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -6*i**5\/5 + 126*i**4\/5 - 444*i**3\/5 + 636*i**2\/5 - 414*i\/5 + 102\/5 = 0.\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 45*p + 2659. Let t be x(-59). Solve -t = -v + 33*a - 34*a, 0 = 2*a - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-226)\/(-154) + 2\/(-11). Factor -12\/7*l**2 + 12\/7*l - g*l**3 + 0.\nAnswer: -3*l*(l + 2)*(3*l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 1:55 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 101 - (2\/(-2) - -1). Let k = g + -4701. What is k rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 8*i - 4 + i**2 + 1 - 2. Let w be h(-9). Sort 0, w, -4 in descending order.\nAnswer: w, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 45 + 41 = 0. Let i(r) = -1 - 5*r**2 + 6*r - 2*r**2 - 3*r**3 + 11*r**2 + o*r**3. Give i(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 6*l + 10. Let v be f(4). Solve -v*t = 1 - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5669 divided by -46\nAnswer: 5669\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*l - 12*l = 2145 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, i: 2, q: 1, e: 1}. What is prob of picking 1 e and 2 i?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, l: 5, d: 3, z: 1, a: 1, v: 2}. Give prob of sequence lzva.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56 by -6.\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65194 and 38?\nAnswer: 1238686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5929)*-1 - sqrt(5929))\/(sqrt(42)\/(sqrt(6) - sqrt(54)) - (sqrt(7) + -3*sqrt(7)*-2)).\nAnswer: 22*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21435699941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3830 is divided by 781?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71165.1g in micrograms?\nAnswer: 71165100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/11 (b) -5 (c) -2\/7 (d) 160\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2179\/732 + -220\/61. Find the common denominator of 105\/44 and q.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 8*j**2 - 5*j - 5. What is w(8)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1232 and 38395434?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*s**2 - 4*s**2 - 39*s**2 + (0*s - 3*s + 4*s)*(2*s - 3*s + 3*s) to o + w*s**2 + b*s and give w.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3 + 29*f - 70*f - 4 + 26*f. Calculate b(2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 - 4*u**3 + 2*u**3 + (-5 + 3 + 4)*(-4*u**3 + 4*u**3 + u**3) - 90*u + 90*u + 19*u**3.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -140 - -76?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13954 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -5665*n**4\/6 - 3*n**3\/2 + 24*n**2 - 130*n. Let t be z(-8). Round t to the nearest 10000.\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -284, 4, -2 in ascending order.\nAnswer: -284, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1207*r = 1211*r - 2*o - 12, r + 4*o = 30. Let k(f) = -10*f - 13*f**2 + 12*f**2 + 0*f. Let x(d) = 6*d. Determine r*k(v) + 10*x(v).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 3*v - 2, 271*u + 8*v - 12 = 275*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2700 by -90.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxxqnyb. What is prob of picking 1 y, 1 q, 1 b, and 1 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 35*b**4\/2 - 337*b**3 - 3306. Find the third derivative of p(f) wrt f.\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1446732 and 5292.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 165 + 101?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9359 is divided by 80.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvl when three letters picked without replacement from {c: 2, l: 2, j: 3, g: 6, v: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 4*l + 10. Let f = -47 + 52. Let g be v(f). Let t = 14 - 0. Solve 0 = g*d + t + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -1494?\nAnswer: -1499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2 - 2 - 3*x**2. Let u(q) be the third derivative of q**5\/15 - 42*q**2. Give u(a(z)).\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*o - 6 - 9, 4 = 2*o + t. Suppose 0*r + 30 = o*r. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 18. Sort -2, n, 0.5.\nAnswer: n, -2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 213*o**3 + 711*o**2.\nAnswer: 1278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/1085875 and 89\/7875.\nAnswer: 9772875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 11) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -27, -57, -87, -117, -147, -177?\n\"Answer: -30*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (130\/20)\/13*2\/(-7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(1573) - (-4*sqrt(1573) + -1)) + -2 - ((sqrt(1573) - (-3 + sqrt(1573) + sqrt(1573) + 1))**2 + sqrt(1573) + 5))*-6.\nAnswer: -528*sqrt(13) + 9496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-21423)\/((-1)\/((-22)\/(-40))). Let g = 1041 + -12821. Let k = g + m. Find the common denominator of 133\/30 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4462.6 to the nearest one hundred.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-242))\/(2183\/(-264143)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/8*-2*-2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14000004 (base 6) to base 2\nAnswer: -1110001111010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.136 and 2.7.\nAnswer: 0.3672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 6:11 PM?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2749883?\nAnswer: 2749883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 + -0.19. Is g < 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qccdcccdqcdqcdcd. Give prob of sequence ccq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/145 - ((-1144)\/(-232) + -10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v**3 - 9*v**3 - 3*v**2 + 3*v**2.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 11:18 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 277784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 9*x**2 + 9. Let k be i(-9). Let d = 5 + k. Suppose 125 = 5*r - 5*y, -2*y = -4*r + 108 - d. Calculate the highest common factor of 33 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w**(-15\/2)*w*w*w*((w**5\/w*w)\/w)\/w*w**(1\/3)\/w**(3\/2) assuming w is positive.\nAnswer: w**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1104252?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 4736 (b) -531 (c) 0.3 (d) -2\/9 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -102*s**3 + 4*s**2 + 31. Let x(v) = -99*v**3 + 3*v**2 + 31. Let n(g) = 4*x(g) - 3*z(g). Differentiate n(d) wrt d.\nAnswer: -270*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 - 11 + 3)*(0 + 2 + 1)*(-3*n - 4*n + 20*n) as c*n + l and give c.\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0*p + 1 + p)*(-745*p**4 + 332*p**4 + 354*p**4).\nAnswer: 59*p**5 - 59*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23115 divided by 345.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*r**2 - 6*r**6 - r**2 - 14*r**2 + 12*r**2 wrt r.\nAnswer: -720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*z - 34086 = -74*z for z.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d**2. Let g(o) be the first derivative of 17*o**3\/3 + 39. What is u(g(b))?\nAnswer: 1734*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*(s*s**(3\/7)*s)\/s)*s)\/s**26 assuming s is positive.\nAnswer: s**(-178\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -10117*f + 475522. What is m(47)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -42*o. Let x(c) = -764*c**2 - 1. What is l(x(v))?\nAnswer: 32088*v**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4 + 17 + -12 + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k + 77 = 20 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 3*h = 8 - 27, 5*i - 10 = 3*h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 - 33 + 21*i to the form p*i + c and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 44 + -2 - ((-4 - -18) + -9 + -4)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**4\/24 + 9*u**3 - 71*u**2. Let y(t) = t - 1. Let c be y(1). Calculate the remainder when q(c) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**5\/60 - 4*v**4\/3 - 29*v**3\/6 - 9*v**2 + 3*v. Is s(-29) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11726527823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 13. Let h = -38 - -118. Let k be 5\/(h\/88) - 2\/(-4). Determine w(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -13 + 14 + (-1)\/4. Factor 0*n - n**2 + 0*n**3 - 1\/4*n**5 + o*n**4 + 0.\nAnswer: -n**2*(n - 2)**2*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 697 + -695. Let a be (-7 + (-1692)\/(-243))\/(y\/62). Is 0 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 8*c**2 + 41*c - 213. What is the remainder when 122 is divided by a(7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3.2, -1.7, 0.42?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**3 + 29*h**2 + 6*h + 9. Give j(-5).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.55 to 1 dp.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 9*z, -z - 30 = 49*r - 54*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 8*d**2 - 14*d - 64. Let a be k(10). Let c(m) = 3*m - 3. Let u(z) = 0 + 1 - 6*z + 4*z + z. What is a*c(o) - 10*u(o)?\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 65*a - 23*a + 7776 = 0. What is the greatest common factor of 2208 and a?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -49\/2. What is the closest to v in -2\/5, 2\/5, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(210)\/sqrt(5))\/sqrt(6) + 1 - (4*sqrt(84)\/sqrt(2))\/(sqrt(216)*-2))**2.\nAnswer: 16*sqrt(7)\/3 + 148\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 4:57 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -17. Let k(p) = 6*p**2 - 14. Let h(a) = a**2 - 3. Suppose -4*j - 4*c = 4, -2*j - 2*c = c + 6. What is j*k(t) + v*h(t)?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -15. Suppose -5*t = 10, 2*m + 5*t + a = 2*t. Suppose 3*s - 25 = -m. Put s, -4, -3 in ascending order.\nAnswer: -4, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phkk. What is prob of sequence khk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 444*q**2 + 6*q**3 - 1269*q**2 + 409*q**2 + 416*q**2.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2181329*m**2 - 3600970*m.\nAnswer: 4362658","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-4\/13)*y*y)\/y*y)**21*((y**(-40)\/y*y)\/y)\/y**(-17) assuming y is positive.\nAnswer: y**(696\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 + -5.9. Let n be 9\/(-27)*17 - -5. Which is the biggest value? (a) -19 (b) n (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 5221?\nAnswer: -5221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 10*b - 11. Let s be (-27)\/12 - -2 - (-114)\/8. Suppose a - 3*a + 2*l = -s, 0 = 3*a + 4*l - 21. Calculate c(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*r - 20. Let l = r - -5. Suppose -4 = -4*m - 2*w, 3*m - 4*w - 8 = 6. What is the remainder when m is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 12:01 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 20*r**2 + 35*r**2 + 16*r**2 - 93*r**2 + 23*r**2. Let d(i) = 73*i**2 - i - 8. Determine d(j(x)).\nAnswer: 73*x**4 - x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -15530 (base 7) to base 14\nAnswer: -1850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egsgssxsscxcccsegsgc. Give prob of picking 2 g.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + l = -242, 2*l = -l - 6. Suppose 0 = 3*f - a - 9. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13588 + -14102. Which is the fourth smallest value? (a) -4 (b) -0.5 (c) i (d) 3\/5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - c**2 + c + 20. Let w(o) = -o**2 + 1. Let v be w(-1). What is the least common multiple of h(v) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 630 and 420.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.65 + 4.45. Let t = k + -1.1. Which is the second biggest value? (a) 3 (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 700701296 is divided by 234?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b**2 - 11*b - 11. Let y(i) = 3*i**2 - 5*i - 5. Let v(h) = -6*c(h) + 13*y(h). Let k be (-2)\/((-12)\/(-9))*(-84 + 86). Is 39 a factor of v(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1 = -3. Suppose -f*u = 2*b - 8, -2*b + u + 4 = -b. Suppose b = 3*t - 41. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11942927 + -3?\nAnswer: -1194292a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/38220539 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) -1.6 (c) -3 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2141550 and 300.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/191752 and 41\/261480.\nAnswer: 2876280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000\/55 - (-4)\/(-22)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 + 58. Suppose 0 = -11*b + p*b + 3*t + 52, -3*b - 4*t = -37. Let o(y) = 3*y**2 + 9*y. Let j(g) = -16*g**2 - 44*g. Determine b*o(a) + 2*j(a).\nAnswer: a**2 + 11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -18*k**2 + k + 1. Calculate v(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4916*w - 8305 - 237495 for w.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 31 = 5*s, -2*n + 4 = 36933*s - 36929*s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1082 - 1089. Is q less than 99\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 339 + -181. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -236 + 99. Let w = -25 - q. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128584633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n - 44*n - 1 - 24*n + 9*n.\nAnswer: -66*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**4 + 16*g**3 + 8*g**2 - 48*g - 36 = 0. What is g?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.499 + 0.499. What is the nearest to i in 2, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 3)*(-2 + 1 - 1) + (-2 - 3 + 4)*(1 - 2 + 0) - 1 - 4 + 4)*(-2*l + 11*l - 4*l + (-4 + 4 - 2*l)*(3 + 1 - 6)).\nAnswer: -72*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 4*y - 8 = 4*h, 2*h = 3*y + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -32*j**2 + 6*j - 47. Let x(c) = 59*c**2 - 11*c + 95. Let p(i) = -7*v(i) - 3*x(i). What is the thousands digit of p(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/2*(-2 - (-24)\/9). Differentiate -c**2 + 8*c**n + c**2 - 15 - 3*c**2 with respect to c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m - 22*m - 53*m - 2 + 132*m to the form k*m + z and give k.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**3 + 104*i - 106*i + i**2 + 3*i**2 + 2*i**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3. Let t(f) = -2*f + 44. Let x be t(19). Let i(a) = 11*a**3. Determine x*y(s) - i(s).\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -318526, -636379, -954232, -1272085, -1589938, -1907791?\nAnswer: -2225644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 23. Let l be b(12). Let d = -1576\/3 + 525. Let w = 28 + -199\/7. What is the closest to l in 3, d, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9305 = -541*g + 2056 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + h - 18 + 20 = 0, 3*m - 5*h - 4 = 0. Suppose 74 = 5*z - 4*o, m*o = -2*z + 4*o + 32. Calculate the highest common factor of z and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1778352, 1778349, 1778346, 1778343, 1778340, 1778337?\n\"Answer: -3*q + 1778355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*p - 14 = 0, 2*x + 7*p = 3*p + 20. Let w = -279 - -279. Solve x*q - g - 1 = 7*q, 5*q + 3*g + 3 = w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -q + q, 7*j = 144*q - 56*q - 93*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*c - 34*c + 19054. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345191.\nAnswer: 7, 11, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/3)*g)\/g)**(-3\/10)*g**6\/(g\/(g**0\/g)*g) assuming g is positive.\nAnswer: g**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15 - (11 + -5)) + -8. What is the greatest common factor of 7 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*m - 6. Let j(o) = 8*o. What is the tens digit of j(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l - 1. Let m be c(-3). Suppose f = -m*f + 30. Suppose 1 = 2*q - 7. What is the smallest common multiple of q and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(2\/7))**37)**50 assuming h is positive.\nAnswer: h**(9250\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003991 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a + 704535?\nAnswer: 704553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**3 + 3*a**2 - 3*a - 3. Let d(v) = -4*v + 15. Let w be d(-3). Let m = w + -22. Let b(n) = -7*n**3 - 5*n**2 + 5*n + 7. Determine m*p(o) + 3*b(o).\nAnswer: -o**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73\/1757267 - 11305903945\/8471784207. Let z = t - -2\/1607. Sort -2\/13, -2, -0.25, z in descending order.\nAnswer: -2\/13, -0.25, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000011 (base 2) in base 4?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1300130 = -67*s - 58*s - 12*s. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*b - 16 - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -147*i + 44*i + 3211 - 3211. Let n(z) = -z**2. Give n(d(w)).\nAnswer: -10609*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-80)*24\/12?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.48949 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10222002 (base 3) to base 8\nAnswer: 5513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/117)\/(2\/6).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 302*a**2 - 7*a + 10. Let l be b(2). Is (2\/6)\/(-4 - l\/(-300)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201010 - 1?\nAnswer: -201011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1539.91 to the nearest 10.\nAnswer: -1540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 3. Determine s(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-3))\/(75\/(-45)). Which is the biggest value? (a) t (b) -5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 75*d**2 + 901*d - 43. Give h(-60).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 14 = -91. Let o be (6\/4)\/(s\/(-22)). What is the fourth smallest value in 2, -0.2, o, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 r when three letters picked without replacement from xxxrxrxxrrxrxxxxxr?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 825 and 420765.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.58*1.4.\nAnswer: 9.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1430 and 3795?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1815013245 to the nearest integer?\nAnswer: 42603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -10*g - 4*g + 3*g - 14 + 3*g. Let p(k) = -2*k - 1. Let i(y) = -25 + 11 + 7 + 8 + y. Let w(v) = -7*i(v) - 2*p(v). Give -5*f(b) + 14*w(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*n - 710*n - 277*n - 9594 = 0 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/12866 and -157\/42.\nAnswer: 38598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/24 and -89\/188562?\nAnswer: 754248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 623800 and 325.\nAnswer: 8109400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1132)\/(-9) + 22\/99.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-10) + (-34)\/(-5). Let w(g) = -14*g**3 + 23*g**2 + 14. Let f(v) = -5*v**3 + 8*v**2 + 5. Let k(y) = z*w(y) - 17*f(y). Give k(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 10*y**3 - y. Suppose -t - 12 = -3*t. Suppose 0 = -5*g - 5*x - 10, -g = -2*x - 1 - t. Determine h(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 131 - 1 = 0, -5*p - 122 = -4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 49*q + 2053. Determine f(-42).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6997122053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/(-1650)*2*5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**2 - 4*b**2 - 3*b**2)*(4*b - b - b) + (2*b + 0*b - 3*b)*(-2*b**2 + 2*b**2 - 2*b**2) - 149*b**3 + 868*b - 868*b.\nAnswer: -151*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 8*j**2 - j - 11. Let u be g(-8). Suppose -250 = 2*i - 130 - 126. Put -2, u, i, -38 in descending order.\nAnswer: i, -2, u, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(((-15)\/5)\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2807*v**3 - 6*v - 2647. Let s(j) = 2808*j**3 - 5*j - 2646. Let w(t) = -5*a(t) + 6*s(t). What is the derivative of w(b) wrt b?\nAnswer: 8439*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 77, 283, 685, 1349, 2341, 3727?\nAnswer: 5573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 2*c - 16, 3*t - c - 16 = -0*c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*t = -4*n + 9, 2*t = -3*n + 15. Suppose 3*x - 44 = -2*g, n*g - 3*x + 0*x - 36 = 0. Solve 4*l + 0*l = g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4*2*(sqrt(1008) + 1*sqrt(1008)))**2 - ((-5*sqrt(35)\/sqrt(5) - -2*(sqrt(7) + (sqrt(42)\/sqrt(6))**2)) + -5).\nAnswer: 3*sqrt(7) + 258036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 104488306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*s**4 + 13*s**3 - 407*s**2?\nAnswer: 96*s + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*v**2 + 261*v**2 + 88*v**2.\nAnswer: 419*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 17.52188 kilograms?\nAnswer: 0.01752188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2245*w + 19 = 22469 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, 2, 95, 5 in descending order.\nAnswer: 95, 5, 2, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b**2 - 32*b + 34*b - 5*b**2)*(2*b**2 - 2*b**2 + b**2) to the form z*b**2 + p + k*b**3 + l*b**4 + s*b and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + 0*i + i)*(-1008*i**4 - 1915 + 1915 - 2*i).\nAnswer: 5040*i**5 + 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*j - 10, 6*j - j = -4*t + 23. Suppose 3*x + t = x, -l + x + 9 = 0. What is the least common multiple of l and 34?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 13. Let f = g + 15. Let i = f + -6. What is the nearest to i in -4, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -756, -739, -722, -705, -688, -671?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**11\/r*r*r**(-18)*r)\/((r\/((r\/(r*r\/(r**(4\/5)*r)))\/r))\/(r\/r**(-4\/11))) assuming r is positive.\nAnswer: r**(-321\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 238249, 476856, 715463, 954070, 1192677?\n\"Answer: 238607*q - 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 4*u - 8. Let x = u - 14. Let o = 87 + -47. Solve x*r - o = 4*s, -5*r + r + 20 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5073 and 603.\nAnswer: 1019673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 835\/(-668) + (-2)\/(-9) + 2416\/4032.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460 a factor of 84116520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*d - 15, 4*a + d - 29 = 0. Suppose 156 = -2*n + a*n. Let t = n + -20. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - -1 - (1 - 1). Suppose m = -5*n - 4 + 14. Find the third derivative of -p**n + 3*p**2 - 3*p**2 + 0*p**2 + 8*p**4 wrt p.\nAnswer: 192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**5\/7 + 1002*k**4\/7 + 4602*k**3\/7 - 3050*k**2\/7 - 2550*k\/7 = 0. What is k?\nAnswer: -5, -1\/2, 0, 1, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1621754 is divided by 1267?\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*y + 67. Solve -5*m - y = 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*n - 2 = 0. Let a be (-3)\/12*-2*0. Let k be a + 4*6\/8. Put k, n, -3 in increasing order.\nAnswer: -3, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 8 - -2 - 10 - (3 - -3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j. Calculate v(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12346 - 3178*y**2 - 12346 - 3*y + 5*y - 3601*y**2.\nAnswer: -6779*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + b - 11643 = -4*b + 3*b, 0 = b. Is 37 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1*(1 - 2))\/1. Sort 1, f, -4.\nAnswer: -4, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -593, -589, -573, -539, -481, -393?\n\"Answer: i**3 - 3*i - 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**3\/6 - 899*i**2 - 2442483*i\/2 - 72199690\/3 = 0. Calculate i.\nAnswer: -2687, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igimiiwwmv. What is prob of sequence gv?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*s - 1180 = 129. Let a(c) = 106*c - 17. Let y(p) = 35*p - 6. Calculate s*y(t) + 4*a(t).\nAnswer: 39*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1077077297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5441 + 6067. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1457018 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bibbibbibbbbbbbibbb. What is prob of picking 1 b and 1 i?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(5 - 5 - 2*g**4 + (-g**4 - 2*g**4 - g**4)*(-2 - 1 + 4)).\nAnswer: 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13818, -13780, -13740, -13698?\nAnswer: -13654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*h - 18*h - 21*h + 5)*(2*h**4 - 2*h**4 - 2*h**4).\nAnswer: 16*h**5 - 10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y**2 + 7 + 7*y**2 - 6 to the form o*y + d*y**2 + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1284 + 1?\nAnswer: -1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*g + 2. Let f = 272 - g. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 2\/17 (b) -0.2 (c) 0.4 (d) 1\/8 (e) -67 (f) 0.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1615 is divided by 810?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p + 8. Give z(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**3\/3 - 2*k**2 + 17*k. Let z be ((2 - -1)*1)\/1. What is v(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5226 by 5226.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - b8004?\nAnswer: -b8009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g = 3*j + 29, -10 = -2*j. Let r = -12 - -13. Let n be (6\/12)\/(r\/110). What is the greatest common factor of n and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60*o**3 + 5776*o**2 + 4800855*o.\nAnswer: -360*o + 11552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6 = 3. Factor 19*n + 4*n**2 + n**3 - a*n**2 - 19*n.\nAnswer: n**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - m**2 - 11*m + 12. Give j(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 553343780 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 4. Let p be d\/(3\/(-6)*-2). Solve 14 = -p*m + 34 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 - -4.02. Let x = 31 + -29. Suppose 0 = x*r + 3*r + 10. What is the biggest value in -0.1, r, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**5\/20 - 25*s**2\/2 - 10*s. Differentiate d(y) wrt y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 7*y - 38. Let x(n) = -y + 5*n - 4*n - 2. Give x(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*l - 29*l - 4*q = 16, 5*q = 3*l - 16. Let n(w) = w**2 + 4*w - 6. Determine n(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3026?\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8)*3*10\/45.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-42)\/(-24))\/(3\/12). Solve 5*t - h = 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189098, -189523, -190232, -191225, -192502, -194063, -195908?\nAnswer: -198037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -30. Suppose 0 - 3 = -y. Suppose 4*m - y = l, -2*l - 2 + 6 = 2*m. Solve -3 + m = z*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1792) - sqrt(1792))\/(sqrt(175)*-1))\/((sqrt(98) - sqrt(98)*-2*-2)*4).\nAnswer: -4*sqrt(2)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -25722*f + 180124. Calculate h(7).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 382883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**2\/2 + 13*k - 2. Let g = 17 + 45. What is the remainder when g is divided by i(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + 1)**2*3.\nAnswer: 66*sqrt(19) + 6900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 4*z + 5. Let l = -35 + 34. Let y be (2 + (2 - l))\/1. Determine d(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11 + ((-283)\/19 - ((-1)\/(-29) - 7956\/(-112404)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -256, -158, 8, 242, 544, 914?\nAnswer: 1352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s. Suppose -2*l - 3*l = 0. Suppose 0 = -2*n - l + 4. Let x(w) = w - w**n - w. What is z(x(v))?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -455 and -26.\nAnswer: 11830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 66*p + 559. What are the prime factors of w(37)?\nAnswer: 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**6\/6 + y**5\/4 - 5*y**4\/4 - 5*y**3\/6 + 5*y**2 - 5*y. Factor x(a).\nAnswer: 5*(a - 1)**2*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 4*v - 8, 23*i + 1 = 5*v + 22*i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 6) to base 12.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 947 (base 13) in base 11?\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -59. Let n = -57 + u. Solve -q + n = 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -33, -26, -7, 30, 91, 182?\n\"Answer: t**3 - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 6*n + n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 20*y - 18. Let f be p(4). Suppose -66*v + 12 = -f*v. Solve -5 = 2*z - v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -678430 - -678429.8399955. Let o = -0.16 - g. Round o to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 30840470*d + 47556729491045.\nAnswer: 5*(d - 3084047)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25010690.\nAnswer: 2, 5, 59, 42391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 9*a - 2772. Let n be (-44)\/6*((-2 - 6) + 2). What is the highest common divisor of a and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-944)\/(-6608))\/(8\/(-7)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55\/76 + 10\/19. Let i be -1*(-2)\/6 + 75\/(-175). Sort -1, i, f, 0 in descending order.\nAnswer: f, 0, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41104 divided by -10276\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/6)\/((-11)\/(-66)). Let j be ((-3)\/(-9))\/(a\/(-6))*4. What is the remainder when 19 is divided by (3\/(-9))\/(j\/36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5232881, 5232885, 5232889?\nAnswer: 5232893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -0.68, -0.06, 3\/8, 10\/13 in decreasing order.\nAnswer: 10\/13, 3\/4, 3\/8, -0.06, -0.68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 519, 501, 469, 423, 363, 289?\n\"Answer: -7*v**2 + 3*v + 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 786592 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 495849198 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 37*x**2 + 37*x - 34. Let w(a) = 68*a + 1050. Let r be w(-16). What is m(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -718351.4 and -293.\nAnswer: -718644.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 11. Sort -2\/11, -0.4, n.\nAnswer: -0.4, -2\/11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 8:22 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 1. Let x(c) = -4*c - 5. Let z(g) = -5*a(g) + x(g). Let m(j) = 12*j. Give -m(n) + 8*z(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 14560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18188*p + 18189*p - 6 = 0, 3*v - 8*p + 45 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14772459?\nAnswer: 3, 13, 29137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -0*m - 85. Suppose -5*p - 2*r + 85 = 2*r, m = 2*p + 5*r. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5))**(-18\/11)\/(y**(2\/7)\/y)**(-14\/5) assuming y is positive.\nAnswer: y**(-146\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1187 or -1206?\nAnswer: -1187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*g + 73*g = -118*g + 1624. Let l be (-5)\/(-3) + (-2)\/(-6). Solve -2*t - 2*b = 0, -4*b = -l*t + g - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -182, -271, -358?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2074*k + 2068. What are the prime factors of a(-10)?\nAnswer: 2, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -13 + -5 + (-1 - -7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 31. Find the second derivative of -6*c + p*c**4 + 6*c**4 + 0*c - 5*c**4 wrt c.\nAnswer: 96*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 6*d**2 + 3*d + 9. Determine o(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 0, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17053 or -17052?\nAnswer: -17053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 221 = 2*c, 2*f + 2*f = -c + 78. Suppose -99 = 239*g - 240*g. Let n = g - c. Calculate the least common multiple of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -241 and 1901125041.\nAnswer: 1901124800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -46 + 25 + 2 - (1 + 8)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7711 is divided by 276?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7242343379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*a = 10, -2*a - 20 = l + 2*a. Suppose l = -5*o + 29 + 26. What are the prime factors of o*-1*(-2)\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 1. Let n(l) = 8316*l**2 - 18. What is 18*a(o) - n(o)?\nAnswer: -8334*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, y: 2}. What is prob of sequence yoo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001828446 to four dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6820364585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 1\/1*0. Let q be (-53)\/n + (-6)\/(-8). Let t = -3 + q. Calculate the lowest common multiple of 4 and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -5*r**4\/6 - 14533*r**3 - 749515*r**2\/6 + 52293*r = 0.\nAnswer: -17431, -9, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -3809.08?\nAnswer: -7618.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4)*(3 - 6 - 9)*(-4 + 1 + 2)*(0 - 1 + 2)*(-3*y - 7*y + y).\nAnswer: 432*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 720?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 - (80 + 55 + -98).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**6 + 182*o**4 + 97*o**3 + 14*o**2 + 1958*o - 7 wrt o.\nAnswer: 120*o**3 + 4368*o + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f + 1. Determine b(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 54 + 5520*i.\nAnswer: 5520*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 49964, 99814, 149664, 199514, 249364, 299214?\n\"Answer: 49850*n + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 17*c - 21 - 27. Let b(v) = 9*v**2 - 2*v - 1. Let r be b(3). Suppose -o + r = o. Solve 0 = 3*h + 4*i + 22, -4*h = c*i - 13 + o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -445, -480, -707, -1222, -2121, -3500, -5455?\nAnswer: -8082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*f - 352*f = 568*f + 14909 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 2. Let l = -0.7 - 8.3. Let f = 4 + l. Which is the second biggest value? (a) -3\/8 (b) f (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(1 - -3 - 115\/2). Let x = n + 96. Let s = x + 27. Solve -5*h = -4*y - s, 4*y + 5*h = -0*y - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3766.\nAnswer: 2, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6485609, 6485648, 6485687, 6485726?\n\"Answer: 39*h + 6485570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q + 63641 - 63785 = 0. Let a be -1*2 + 4 - -1. Solve 0 = -j + a, -j + q = 5*b + 2*j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 - 24*a + 26. Let r be c(-13). Suppose -i + 4*l + 112 = 0, i + i + l - 251 = r. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8056, 32260, 72592, 129046, 201616, 290296, 395080, 515962?\n\"Answer: -o**3 + 8070*o**2 + o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*i**2 + 0*i - 3*i + 11*i**2)*(2*i + 2*i + i) to o + n*i**3 + p*i**2 + b*i and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 52 - 14 = 2*c, -3*c - 47 = -2*b. Let n be 8\/(-28) - (-208)\/(-56) - 2. Let x be b\/12*(-9)\/n. Solve -g = -x*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/24*-3)\/(((-2304)\/16)\/24).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5\/11 - 10*o**4\/11 + 20*o**3\/11 - 20*o**2\/11 + 10*o\/11 - 2\/11.\nAnswer: 2*(o - 1)**5\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4592917031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -534699 divided by 7?\nAnswer: -534699\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(0 - (-6)\/9). Let k(i) = 7*i - 5. Let f(v) = 8*v - 6. Let h(r) = -3*f(r) + 4*k(r). What is the units digit of h(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -742*t - 4 + 4 - 3 + t**2.\nAnswer: t**2 - 742*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 25, 3*c + u - 12 = -2*u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.058*967\nAnswer: 56.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*s + 113*s + 19*s**2 - 82*s**2 + 774*s**2.\nAnswer: 711*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 6*x**2 - 7*x + 5. Let y(c) = c - 3. Let k be y(10). Let i be u(k). Put 0, -2, i in decreasing order.\nAnswer: i, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 14*c**2 + 3*c + 4. Let v be d(-2). Calculate the common denominator of (-4)\/4 + (0 - (-249)\/v) and -23\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61634, 123296, 184964, 246638?\nAnswer: 308318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 h, and 1 k when three letters picked without replacement from {k: 2, h: 5, s: 5}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4\/9 - 460*h**3\/9 + 2344*h**2\/9 - 476*h\/3 - 470 = 0. Calculate h.\nAnswer: -235, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 14693446810 to the nearest 100000.\nAnswer: 14693400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138740606 by -2.\nAnswer: -69370303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*i = 2 + 1, 4*i - 8 = 0. Let v(p) = -2*p**2 + 14*p + 2. Let f be v(o). Solve 6 + 2 = -f*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5157\/1146)\/((-9)\/(-46))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -23. Let d be (-2)\/(-2) + (-1 - -3). Is 9 a factor of (-11)\/(d + (-14)\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**2*w + 72*q**2 + 2*q*w - 182*w - 6 with respect to q.\nAnswer: -2*q*w + 144*q + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -3287.337?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 290350 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 99 - 97. Suppose n*b - 5200025 = -5*y, 0*y - 4*y + 20 = 0. What is b rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -2\/5, -1, -5, -2\/401?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 714776 by 15.\nAnswer: 714776\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*o + 70 = -52*o. Let l be (-1490)\/(-70) + 4\/o. Calculate the highest common factor of 4 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*u + 589 = -891 - 920 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322 = -7*r + 308. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 353*k = 358*k, -2*o - 5*k = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13722 + -2418. What are the prime factors of i?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 76.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 89977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-1 - 1) + 4 + -1 and ((-34)\/(-3) - 4)*(-24)\/(-16).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + 2098 = 3*n + 2058, -4*n = -4*y - 72 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79365 is divided by 163?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33.3 - 33. Let s be (-1)\/3 - 5\/(-6). Put i, -2, s in decreasing order.\nAnswer: s, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17789 + -17587. Calculate the remainder when 2442 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*c + 60 = 153*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c + 6. Is t(13) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-11*m + 11*m + 3*m**3) + (-981 + m - 768 + 1500)*(2*m - 2*m + m**2) + 0*m**3 + 3*m**3 - m**3.\nAnswer: 9*m**3 - 249*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 - 0.07. Let s = -0.17 - 11.83. Let x = s + 11.7. What is the smallest value in -3, x, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*c - 40*c = 23184. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -27 + 3*y - 20 + 47. Let b(g) = 9*g - 33. Let h(z) = z - 5. Let r(c) = b(c) - 5*h(c). Determine r(u(w)).\nAnswer: 12*w - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (38\/(-4))\/(1\/(-4)). Suppose 2*c - 95 = -5*d, -2*d + 139*c = 138*c - 38. Calculate the greatest common factor of d and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**4\/12 - b**3\/6 + 3*b**2 - 1106*b. Calculate r(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1621073?\nAnswer: 83, 19531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 7:02 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 6) + (-266)\/(-56)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236 (base 14) to base 4.\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 443, -3, 20, 1\/10 in increasing order.\nAnswer: -3, 1\/10, 5, 20, 443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -12*k**2 - 1370*k - 226. Calculate c(-114).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1192 and 16837?\nAnswer: 134696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5620418.\nAnswer: 2, 23, 61, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(99) + (sqrt(99) + sqrt(99)*-1 + sqrt(99))*-4))\/((sqrt(729) + (sqrt(729) - -2*sqrt(729) - sqrt(729)))*6)*1)**2.\nAnswer: 11\/2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21936335*p**3 + 203*p + 52744 wrt p?\nAnswer: 131618010*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/232 and (3\/(-40))\/((-192)\/(-3800)).\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61280, -61182, -61020, -60794, -60504?\nAnswer: -60150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*m**2 - 3531*m - 1323.\nAnswer: -(m + 441)*(8*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -5*q + 5. Let p = q - 23. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3235266063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 74*r**2 + 631*r + 1111. Give d(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*66\/(-154) + (-55)\/70?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 69, 4, -43831 in increasing order.\nAnswer: -43831, -4, 3, 4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-1)*21\/((-63)\/(-8))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 10*b - 10. Let u be v(-9). Let r be 12\/(-8)*u\/6. Find the second derivative of -r*m**4 + 6*m**5 - m + 25*m**4 wrt m.\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5, 132, 497, 1198, 2343, 4040, 6397?\n\"Answer: 18*q**3 + 6*q**2 - 7*q - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53*a**2*h**2*v + 5*a**2*h**2 - 2*a**2*h + a**2*v + a*h*v - 3*a wrt h?\nAnswer: 106*a**2*v + 10*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8770\/9 + -2924\/3. What is the second biggest value in 4, 1, 5, 0.048, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/8)\/o**(1\/5))\/(o**(-2\/15)\/(o\/(o*o**(3\/8)))) assuming o is positive.\nAnswer: o**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2160*y + 40694 - 747 + 107182 = -101271 for y.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 1605*i**2\/2 + 8291*i + 13678. What is the derivative of l(f) wrt f?\nAnswer: 1605","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469*i = -509*i - 640 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9108, 2 in decreasing order.\nAnswer: 5, 2, -9108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8044 + -8043.98. Sort -9\/62, -2\/11, h.\nAnswer: -2\/11, -9\/62, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1804111, 1804107, 1804101, 1804093, 1804083, 1804071?\n\"Answer: -n**2 - n + 1804113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10 - 1504\/(-24))\/((-2)\/(-9)). Suppose o - 6412 = -s. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 41383*i**2 + 2*i. Let u(v) = -v. Give n(u(y)).\nAnswer: 41383*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 0*r**3 + 0 - 41*r + 0*r**2 - 7\/12*r**4. Let i(y) = 2*y - 9*y - y. Determine t(i(n)).\nAnswer: -448*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*6.1063253.\nAnswer: -0.61063253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -46*u - 459. Let f be j(-10). Let x(w) = -6*w**2 - w + 1. Determine x(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 40228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12489621 to the nearest integer?\nAnswer: 3534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.423 + 0.029. Let l = 0.352 - f. Sort 0.02, 2\/23, l, -2.\nAnswer: -2, l, 0.02, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 5:02 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4960 and 496?\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = b + 8*b. Let p(g) = 3*g**2 + g + 2. What is the smallest common multiple of b and p(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/7 (b) -0.3 (c) 0.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 74 and 14.\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x - 4. Let z(s) = -7*s + 6. Let f = -14899 + 14907. Give f*h(g) + 5*z(g).\nAnswer: 5*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 71*y - 3216. Determine c(-58).\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -2\/3, 1, -22631?\nAnswer: -22631","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + f - 2. Let i be s(0). Suppose -4*u = u - 30. Suppose u*q - 28 = q - 3*x, -q = -2*x - 3. Which is the closest to -0.1? (a) i (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 8*o + 5. Let a be ((-2)\/(-3))\/(o\/(-57)). Let i = 40 - a. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - s - 2. Suppose -2*g - 2 = 5*m, -3*m = -0*m + g + 2. Let d be o(m). Let b(w) = -2*w**3 - 3*w**2 + 3*w + 6. What is the tens digit of b(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.66 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -26. Let r be (3 - 9)*(112\/24)\/(-14)*-1. Which is the closest to 0.1? (a) t (b) -1 (c) r (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10748565*y - 7571225?\nAnswer: 10748565","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -15. Let f = y + -24.2. Is f at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -28506?\nAnswer: 28502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 4*b = 52, -3245*b = 3*k - 3249*b - 38 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 28. Sort -4, 4, u in ascending order.\nAnswer: -4, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 - 26*d + 9. Let f(a) = a**2 + 13*a - 4. Let r(k) = 5*f(k) + 3*g(k). Let p be r(-12). Suppose -16*w = -p*w + 156. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 0, -0.013?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 238390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 380 - 384 = 0. Let t(x) = -x**2 - 10*x - 8. Let y(d) = -d + 1. Let h(c) = p*t(c) - y(c). Determine h(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7948 - 9035.6. What is w rounded to the nearest ten?\nAnswer: -1090","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/9*-6)\/(616\/84).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31996 and 4328.\nAnswer: 34619672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 9*n**2 - 7*n + 10. Suppose -2*i - 7 = 3*k, 2*i = -4*k + 2 - 10. Let s be 7\/i*(0 - 2). Is u(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -138353 times 44\nAnswer: -6087532","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 3:41 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 603*p + 221 - 119 - 102.\nAnswer: 603*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 450460, 448421, 446396, 444391, 442412, 440465?\nAnswer: 438556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qcqqqqqqccqqqq. Give prob of sequence cqq.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -309377*z**3 + 280294 with respect to z.\nAnswer: -928131*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 6. Suppose -m + w - 29 = -33, w + 2 = 0. Solve b*g = m + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13119896 - 12581.\nAnswer: 13107315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26832962?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2112 and 1?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 901 and 3310?\nAnswer: 2982310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2758, -2941, -3236, -3637, -4138, -4733, -5416, -6181?\nAnswer: -7022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - l**2 + 10*l + 10. Let s be w(-3). Let j be s + 1\/(54\/96). Let d be (-3)\/(-3) - (-7)\/(-8). Which is smaller: d or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128)\/(-68) - 2\/1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 8*s + 8. Let w be u(-7). Let v be 88\/(-280) + (-6)\/(-10). Is v equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 349 divide 9761181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13527?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20244 and 1071?\nAnswer: 1032444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 56878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-5\/6)*x)\/x*x**0*x**(-1\/3)*x**(1\/2) assuming x is positive.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**5 + 26*i**4 + 82*i**3 + 70*i**2 + 18*i = 0?\nAnswer: -1, -1\/2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k + 0*k + k + (3*k - 2*k + k)*(-1 + 2 - 2) - 3 - k + 3 - k - 2*k + 0*k in the form n*k + a and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 1813 in decreasing order.\nAnswer: 1813, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 474 = -2*f, 0 = -2*f + 9 - 3. Calculate the common denominator of 53\/9 and (-738)\/c + 6\/8.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*k = 201*k - 153040. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*c - 20, 673*c - n = 671*c + 24. Let u = 1192 - 828. Suppose -5*p = -21 - u. What is the highest common factor of p and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 6. Suppose b - 25 - 1 = y. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 215827282 to the nearest integer?\nAnswer: 14691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*i + 77*i - 932 = 2*t, 3*t - 212 = -i. Solve -58*o = -2 - i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1802, 3, 1, -2.\nAnswer: -1802, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 7 = -4*q + q, 5*f - 21 = q. What is the third derivative of 4*x**2 + 0*x**5 + 5*x**5 - f*x**5 - 4*x**5 wrt x?\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -16. Suppose -32*i = -34*i + y. Calculate the smallest common multiple of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6948*z - 2 - 6948*z + 55*z**4 - 2*z**2)*(4*z - 2*z + 5*z).\nAnswer: 385*z**5 - 14*z**3 - 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 12*a**2 - 55*a + 76. Is y(-33) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*l + 200*l = -5*l + 3674. Let x be 3\/((-1)\/(2\/(-3))). Solve 3*j = -v - 0 - 4, -4*j = -x*v + l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 28 = -r, -p + 5*r + 0*r = 26. Let v be (p\/(-15))\/(2 - 3 - -2). Let o be 39\/5 - (-1)\/5. Which is greater: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -12 - 4 - (-2 - 0). Suppose -p = 3*p + 3*v + 690, 0 = 3*p + v + 520. What is the units digit of p\/(-21) + 4\/a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/23946073 equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 476 by 19.\nAnswer: 476\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -339062.4 rounded to the nearest one thousand?\nAnswer: -339000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 481c (base 13) to base 10\nAnswer: 10165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3 + -1*sqrt(5445) + sqrt(5445) + sqrt(5445)))**2.\nAnswer: -7128*sqrt(5) + 196344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28594\/15 + -1905. Let w = t + -3\/5. Which is the closest to 1? (a) 5\/4 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*v - 12. Suppose 5*w = -6 + 96. Suppose 4*y = 2*j - 4*j - w, -v*j - 2*y = 12. Put -5, j, -4 in decreasing order.\nAnswer: j, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 44*t**2 + 492*t + 91. Let a be i(-11). Let d(p) = -p + 7. Let j be d(5). Let f be j\/(4\/6)*1. Solve -o + 5*h = -a, o + f*o = -5*h + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -13. Suppose -2*x = -0*x + 2. Sort a, -4, x in decreasing order.\nAnswer: a, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72397769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) 3 (c) -2\/13 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29800\/7 greater than 4257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(133))\/(3*sqrt(7)*6).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -132163 - -30?\nAnswer: -132133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5356 = -q - 680. Is q a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-one halves of a kilometer?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - -16. Suppose 11 = -v + 5*g - 5, v + 3*g = 24. Let y be 3*(k\/v - 3). Calculate the greatest common divisor of y and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Let q be 9\/(-42) - z\/2. Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-203)\/35 + 4\/5. Let h be -4 - (2 - (-2 + 4)). What are the prime factors of ((-10)\/h)\/(z\/(-30))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.070009 rounded to three dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002378902228 to 7 dps.\nAnswer: -0.0023789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5902698?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -16*b**2. Let q(k) = 425*k. Give q(m(i)).\nAnswer: -6800*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3991, 15249, 34019, 60307, 94119, 135461, 184339?\n\"Answer: k**3 + 3750*k**2 + k + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -31\/2 - -97\/6. What is the smallest value in w, 7, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1399050 is divided by 113.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88444*b**4 - 1427*b - 8 wrt b?\nAnswer: 1061328*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 999 - 737. Let s = 265 - z. Let i = 5 - 0. Which is the biggest value? (a) s (b) -2 (c) i (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/13)\/j**(-2\/13))**39 assuming j is positive.\nAnswer: j**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18644 and 204?\nAnswer: 950844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -45271 rounded to the nearest one thousand?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b. Let o be a(0). Suppose 5*l = -o*l. Suppose l = -4*y + 2*h + 54, -y + 27 = 2*h - 7*h. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 162, 145, 114, 63, -14, -123, -270?\n\"Answer: -f**3 - f**2 - 7*f + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - q - 29)*(3024*q - 21 - 3024*q + q**2).\nAnswer: -q**3 + 21*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 + -0.53. Let y = t - -0.37. Let v = -0.33 - y. Put -0.1, v, -0.3 in decreasing order.\nAnswer: -0.1, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 516 and 602?\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most -92.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (527*x - 124*x + 1502*x)*(-3*x + 6*x - 2*x)*(-3 - 1 + 3).\nAnswer: -1905*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 78 = u, u - v - 58 = -0*u. What is the remainder when u is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + -1*(0 - -1). Let k be (1\/y)\/((-10)\/40). Let f = 17 + k. What is the remainder when 44 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -45.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**2 + 3*s. Let f(y) = y - 1. Calculate -5*f(z) + i(z).\nAnswer: 4*z**2 - 2*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide ((-1484)\/42 - -12)\/((-2)\/69)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.055 and -40.\nAnswer: -39.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13869 and 3107691.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 26892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/1714497 and -71\/1749?\nAnswer: 18859467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -5 - 2 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15647 - -2210. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -5. Suppose 2*w + t*w + 470 = 0. Let a = -61 - w. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -658 + 2598 = 194*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 134023\/12 - 11175. Let s be ((-7)\/21)\/((-1865)\/75). Let y = s - 26503\/1492. What is the common denominator of y and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.7454015 tonnes?\nAnswer: 745401500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 120 = 15*g. Find the first derivative of -13*r + 42 + 21*r - g*r + 22*r**2 wrt r.\nAnswer: 44*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161, -602, -1321, -2318?\nAnswer: -3593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34926272?\nAnswer: 2, 545723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/10)*y*(y*y**1)\/y)**5 assuming y is positive.\nAnswer: y**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92 and 4140.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - d - 1. Let x = -26 - -17. Let u(p) = -18*p**2 - 9*p - 9. Let l(y) = x*b(y) + u(y). Let h(m) = 2*m**2. Give l(h(o)).\nAnswer: -36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 2, 17, 0.1?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 60 - 68. What is the biggest value in -66, k, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/760 and 1\/172?\nAnswer: 32680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18 (b) -0.09 (c) -21 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 736 and -0.96935.\nAnswer: 735.03065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, 0.094, -6\/11?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 784 - -25. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -l + 5. Let p be -2*3*l\/6. Suppose 3 = -2*x - 1. Which is bigger: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -4. Let h(u) = -u**2 + 1 + 11*u**3 + 10*u**3 + u**2. Calculate the least common multiple of 18 and h(b).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 842, 2737, 6418, 12479, 21514, 34117, 50882?\nAnswer: 72403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*t - 4313 - 2199 = 60*t - 4*z, 5*t + 131 = 2*z for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -674 or -670?\nAnswer: -670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -2. Let u = 1 - f. Suppose u*a = a + 15. Is 2 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 145 = -0*i. Let z = 42 + i. Calculate the remainder when 35 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2606534*v**4 + 208*v**2 - 468*v - 1 wrt v.\nAnswer: 62556816*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*w - 57*w + 121 = 0. Let s be (9\/(-3))\/(1 + -2). Suppose 8*c - 270 = s*c. Calculate the remainder when c is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91831 is divided by 43.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 m when three letters picked without replacement from cmmmcm.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -578?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 8:16 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -90, -79, -66, -51, -34?\n\"Answer: s**2 + 8*s - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a microgram in nanograms?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196\/(-40)*3*145\/(-174).\nAnswer: 49\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a + 2*a - 5*a)*(-3 + 4 + 0)*(-19 + 19 + 76*a)*(-8 - 5 + 3) in the form h*a**2 + c + r*a and give h.\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3\/5 - 12*y**2\/5 - 271982*y\/5 + 36859392\/5 = 0.\nAnswer: -421, 171, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 31*s - 3. Let w be 2 + 0\/(3\/(-1)). Let a be d(w). Suppose -5*g + a = -r, -3*g - 6 = -5*g - 4*r. Calculate the remainder when g is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*t - 45*t - 58*t.\nAnswer: -138*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - m**4 + (-5*m**3 - m + m)*(6*m - 2*m - m).\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m**2 + 2*m + 1. Let v = -13 - -10. Let s(l) = -9*l**2 - 4*l - 2. Determine v*s(x) - 5*w(x).\nAnswer: 2*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79*b**3*v**2 - 2*b**3 + 63*b**2*v**2 - 66*b**2 + 53*b*v wrt v.\nAnswer: 158*b**3 + 126*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h = -102 + 26. Let b(y) be the third derivative of -1\/3*y**h + 0*y + 0 + 1\/15*y**5 + 2\/3*y**3 - y**2. Find n, given that b(n) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -17*b + 2*b**2 - 2*b**2 + 32*b + b**2. Give s(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - o = 21, -3*f + 8*f - 87 = -o. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6775689 take away 683?\nAnswer: 6775006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5))**10*(h*h\/(h\/(h**1\/h)))**(17\/4) assuming h is positive.\nAnswer: h**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -193560\/31 or -6243?\nAnswer: -193560\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 11:43 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z - 207 = -z. Solve -17*p + 32 = -z*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - -3. Find the third derivative of 2*h**4 + n*h**4 - 40*h**2 + 56*h**2 wrt h.\nAnswer: 408*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*v = 3, v + 1 = 2*i - 0. Suppose 0 = -8*k - 7*k + 2325. Let f = -137 + k. Solve -3*l = 3*u - f, i = -5*u + 4*l - l + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 2*i - 6. Solve 0*a + 10 = 4*f + i*a, f + 2*a = 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.039 + -5.039. Which is smaller: 0.5 or l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-165)*240\/40?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*u**2 + 100*u**2 - 154*u**2 + 1709*u.\nAnswer: -359*u**2 + 1709*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*l**2 + 340*l - 340*l)*(0*l - 6*l + 2*l) + (-3*l + 2*l - l)*(-2*l**2 + 0 + 0) to s + m*l**2 + o*l**3 + j*l and give o.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**8\/252 - 2*z**7\/105 - z**6\/45 + 3*z**2\/2 + 15*z. Let c(y) be the first derivative of q(y). Factor c(u).\nAnswer: -4*u**3*(u + 1)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 8*x**2 + 16550*x + 66154. Calculate a(-4).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -592247*a - 416213*a + 1 - 380774*a. Let i be z(-5). Let c = 2146171 - i. Round c to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 68 and -225?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 10*j**3 + 20*j + 5. Let n(q) = -5*q**3 - 10*q - 3. Let v = -24 - -21. Let b(y) = v*s(y) - 5*n(y). What is the second derivative of b(x) wrt x?\nAnswer: -30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3 + 8628*z**2 - 9065866*z = 0.\nAnswer: 0, 1811, 2503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + sqrt(34)\/sqrt(2) + ((sqrt(306)*3)\/sqrt(2))**2 + ((-3*-1*sqrt(119))\/(sqrt(28)*6) + 1)**2.\nAnswer: 3*sqrt(17)\/2 + 22081\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w = 3*w - l + 2*l - 1748, 3*l + 152 = -1017*w + 1019*w for w.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 105, 126, 0, 2 in decreasing order.\nAnswer: 126, 105, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 divided by -175?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + 4\/(-6)*15\/10. Solve -3*d = x - 1, 2*d + x + k*x + 21 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + q - 6. Suppose q*y - 5355 = 5*g, 2*g - 8894 = -y - 4*y. Round y to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8604.193 kilograms to micrograms.\nAnswer: 8604193000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -2204.\nAnswer: 11020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*k = 3*h + 36*k + 43*k - 128*k - 8, -9*h = 2*k - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxxx when four letters picked without replacement from vvvvjxvxvxxvv.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2. Let n(b) be the second derivative of -37*b**3\/3 + 4*b**2 + 1966*b + 2. Determine n(f(i)).\nAnswer: 148*i**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/4)\/(2\/4). Suppose -3*v - 3*a + 15 = 0, -4*v + 9*v + 4*a - 22 = 0. Let w = i - v. Is w less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 - 27*l**2 - 4*l - 144. Give n(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -1\/4*f**4 - 1\/20*f**5 - 2*f**2 + 0 - 1\/6*f**3 - 29*f. Let q be s(0). Let c(b) = -b**3 - 5*b**2 - 2*b + 4. Calculate c(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 21\/(-4))*(-28)\/3. Suppose -4*o - 4*p - k = -5*o, 0 = -5*p - 25. Suppose 6*l = -o + 47. Solve 1 + l = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 442 + 70505\nAnswer: 70947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dggbdgggggggpd. Give prob of picking 1 g and 1 p.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-3)\/(-45)*3)*-1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 22*d**2 + 14*d**2 - 68*d**2 + 13*d**2 + 17*d**2 as z + o*d**2 + l*d and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 120121?\nAnswer: -120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 2 = -5*u. Let c = -11 - u. Let p = 19 + c. What is the least common multiple of 11 and p?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/(4\/(-4))*2 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32.71 + -0.29. Let y = -33.5 - u. What is the nearest to -2 in y, -4, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1516 and 100056.\nAnswer: 100056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 89. Let l be 0*(-1 + 6\/3). Let i be c(l). Let t = 126 + i. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121112 (base 4) to base 9.\nAnswer: -7753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-22\/5)*j)**(-2\/69)\/(j\/j**(4\/9)*j**(-2\/39)*j) assuming j is positive.\nAnswer: j**(-18914\/13455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, j: 3, l: 1, r: 4, w: 3}. What is prob of picking 1 l, 1 w, and 1 i?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w - 3. Let x be z(-6). Find the third derivative of -13*i**5 + 55 - 55 + x*i**2 wrt i.\nAnswer: -780*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 927 is divided by 924.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130 - 84*l**2 - 62 - 68.\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 0)*(-2 + 2 - 1) + 315 - 632 + 313)*(1 + 1 - 1 + (0 + 1 - 3)*(0 - 1 - 1) + 2 - 3 - 1)*(0 - 2*n**2 + 0).\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/(-2))\/(16\/8). What is the greatest common divisor of 259 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(-66)*-3*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -33, -92, -177, -288?\n\"Answer: -13*a**2 - 20*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 116\/(-145)*175\/(-14)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*w - 4*w = 5, -4*w - 11 = 5*m. Let f be (-6)\/(-52)*4\/3. Let d = -1.76 + 1.36. Which is the closest to d? (a) 2\/15 (b) f (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -449249847 to the nearest ten thousand.\nAnswer: -449250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4980, -4963, -4946, -4929, -4912, -4895?\n\"Answer: 17*x - 4997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -379*-5.4.\nAnswer: 2046.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -254*j**3*v - 11*j**2*v - 4*v wrt j.\nAnswer: -1524*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 + 2 - 2 + 2*h**3 - 6*h**3 + h**3 + (-4*h - h + 3*h)*(-4*h**2 + 5*h**2 + 0*h**2) + (2*h**2 + 0*h**2 - h**2)*(-43*h + 2*h - 2*h).\nAnswer: -46*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2*(-1)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-27)\/66) - (168\/21 - 10).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (32\/(-10))\/(3\/(-180)*3). Suppose -o = -3*a - a. Calculate the lowest common multiple of 56 and a.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**2 - 10. Let b(k) = 3*k**2 - 8. Let q(a) = -5*b(a) + 4*h(a). Let l(x) = 22*x. Give q(l(r)).\nAnswer: -1452*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z + 0*z**2 - 4 + 250*z**3 - 3*z**2 - 492*z**3 + 244*z**3 + 6*z**2 to the form v*z**3 + k*z**2 + d*z + u and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 greater than or equal to 0.376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122404 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.40328473 to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-10)*(5 - 0). Suppose 0 = 4*a - 2*i - 2, 8 = -u*a + 4*i - 0. Suppose a*k = 41 - 1. What is the highest common divisor of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5872.79 minus -90475?\nAnswer: 84602.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -78503*f**3*t - 2774*f**3 + f + 200*t - 153 wrt t.\nAnswer: -78503*f**3 + 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31315, -62631, -93947?\nAnswer: -125263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/61 + 102\/305. What is the smallest value in -1, 5, -3\/4, -0.029, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c**(-38)\/c*c)\/c)\/(c*c**(7\/6)) assuming c is positive.\nAnswer: c**(-241\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 211 - 211.099. Let z = -0.04 + x. Let y = 0.13198 + z. What is y rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 15*a + 14. Let x(s) = 3*s + 3. Let l(c) = -2*b(c) + 11*x(c). Let t(v) = 8*v + 14. Determine 17*l(f) - 6*t(f).\nAnswer: 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 + -1 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 0*x + x)*(-3*x**2 + 1 - 1) - 21*x**3 + 60*x**3 + 82*x**3.\nAnswer: 127*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 12:37 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y + 7. Let u(m) = -m**2. Let s(t) = -q(t) - 4*u(t). Is s(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*q = 127*q - 1360. Sort -2\/39, 0.1, q.\nAnswer: -2\/39, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52596*p + 18013*p + 17292*p + 17293*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/4 - 5\/(-220)*-11. Let p = 1.14 - 1.34. What is the second smallest value in -2\/9, p, 0.4, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -28, -3, -1, 0.1, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 3*z**3 + 3*z**2 + 7*z - 1 + 1\/4*z**4. Let n be h(-7). What is n rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13.3772 from -0.1542610236.\nAnswer: 13.2229389764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u = -2*z + 20*u - 66048, -u + 132150 = -4*z. What is z rounded to the nearest one hundred?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4.3259, 1\/10, 1, 4 in ascending order.\nAnswer: 0, 1\/10, 1, 4, 4.3259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5338 and 17898?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (9 - (-3 + 15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1be1b (base 15) in base 14?\nAnswer: -251ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 + 70. Suppose 3*c - 21 + 9 = z. Let s(h) = 2 - c + h + 3 + h + 5*h**3 + 2*h**2. Determine s(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -102, -245, -498, -915, -1550, -2457, -3690, -5303?\n\"Answer: -9*y**3 - y**2 - 77*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcy when three letters picked without replacement from {b: 1, c: 1, u: 1, i: 4, z: 2, y: 3}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*c**4 + 24 + 0 + 63*c**4 with respect to c.\nAnswer: 280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2379 (base 15) to base 4.\nAnswer: 1311303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 3*n + 2. Let x(v) be the third derivative of 0*v - 1\/3*v**3 + 0 + 1\/8*v**4 + 19*v**2 - 1\/60*v**5. Let q(f) = -5*i(f) - 4*x(f). Solve q(c) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 13*f - 6. Let w be s(-12). Which is the second biggest value? (a) -5 (b) -1\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.79 + 0.01. Suppose -9*c = -7 - 209. Let s be (22\/(-77))\/(c\/21). What is the nearest to -0.1 in u, s, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -3433, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -18. Suppose i*b = -3*j, -10 + 2 = -5*j - 3*b. Suppose 3*t = -j*k + 67, t - 62 = 5*k - 8. List the prime factors of t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12713 is divided by 812.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l + 4*l - 3*l**2)*(0*l + 3*l - 36*l) to h + j*l**2 + k*l**3 + o*l and give k.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*m = -a + 25, -2*a - 5 = -3*m. Let w(n) = 40 + 2*n - a*n - 20*n - 18*n. What is the units digit of w(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**5\/20 + r**4\/6 - 2*r**3\/3 + 11*r**2\/2 + 16*r. Let q be d(4). Sort -4, 5, q in decreasing order.\nAnswer: 5, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324 is divided by 177?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*l - 12*l - 220 = 0. Sort 6, -5, l, -40 in ascending order.\nAnswer: -40, -5, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*2140\/(-150))\/(8\/(-6)*38\/76)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -128\/823669 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3*(2\/21)\/((-81)\/243)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1925.9149 and -989?\nAnswer: 936.9149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 18, -221974 in ascending order.\nAnswer: -221974, 7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.055, -1, -258?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332230 (base 4) in base 14?\nAnswer: 2d52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 156 + 33. Suppose 2*o + 3*q - c = 0, 0*q - 3*q = 3. Let u = o - 26. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 256.\nAnswer: -11\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 26 = -7*v. What is the second biggest value in -2, -4, v, 11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 6 = 102. Calculate the lowest common multiple of b and 54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**2 - 6*s - 6. Let i(k) be the second derivative of -k**4\/2 + 7*k**3\/6 + 7*k**2\/2 - 25*k. Determine -7*a(r) - 6*i(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7*k + 3. Let a(v) = -155*v. Calculate a(c(y)).\nAnswer: -1085*y - 465","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 360253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163676883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 526704 divided by -4.\nAnswer: -131676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36700 + 6503 - 30*y + 20178 - 9645.\nAnswer: -30*y + 53736","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8178.503ug?\nAnswer: 8178503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 4. Let u be l(-1). Let x be (-4)\/u + 2\/(-2 + -8). What is the tens digit of (-52 - x)\/(18\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*y - 22*y - 4*y.\nAnswer: -200*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 176 = 4*l, -7 = -2*n - l + 169. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -615751, -1231528, -1847305, -2463082?\nAnswer: -3078859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2\/5 - 3924*k\/5 + 32256 = 0. Calculate k.\nAnswer: 42, 1920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93679 is divided by 1201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + o + 12. Let s = 10 + -10. What is the units digit of n(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 - -34. Let y be l - ((-3)\/1 - -1). Let c = y + 20. Solve 2*t + 8 = -c*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (245\/(282975\/378))\/((-2)\/(-10)).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42.23 + -2.77. Which is the second biggest value? (a) -3 (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22865 is divided by 231?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + v)*(-v**2 + 5*v**2 - 3*v**2) - 2*v**3 + 0*v**2 + 0*v**2 + v**3 + 12*v**3 - 5*v**3 - v**3 - 1 + 1.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -4. Let c = -0.05 + 1.85. Let n = -10.2 - c. Are n and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -621489*b**2 - 3296100*b wrt b?\nAnswer: -1242978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 66*w**2 - 250*w - 175. What is q(-62)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.6 and 135.3.\nAnswer: -757.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 4*j - 8. Let d be a(-6). Let z(b) = b**3 + b - 19. Let c be z(0). Is c at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4*(0 - -4). Let i be 10\/(-35) + 16\/7. Suppose -4 = -i*g + 2. Solve -m - 3*n - 2 = 0, g = m + n + a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -948321 - -636421. What is f rounded to the nearest 10000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 753c75 (base 16) to base 9\nAnswer: 15410316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.0793 - -4.2793. Which is the biggest value? (a) o (b) 1252 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0100066 + 174954197.\nAnswer: 174954196.9899934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxlyyllyyylxylllll. What is prob of picking 2 x?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvzvvvvvvzvzvvvvvvz. What is prob of sequence vvv?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*i = -54*i - 408. Let r(n) be the third derivative of -1\/180*n**5 - n**2 + 0 + 0*n - 1\/360*n**6 + 0*n**i + 0*n**3. Factor r(o).\nAnswer: -o**2*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -5*y**2\/2 - y - 1. Let v be q(-2). Let j(g) = -g**3 + 10*g**2 - 10*g + 13. What is the units digit of j(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 60) + (-104)\/(-8).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -5, 3, -1536 in decreasing order.\nAnswer: 3, -2, -3, -5, -1536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*t**4 - 27*t**3 - 18*t**2 - 3*t.\nAnswer: -3*t*(t + 1)**2*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 335, 1500, 3441, 6158?\nAnswer: 9651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -21*p + 55*p - 26*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 943 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -7*t + 21. Let s be y(3). Which is the closest to -0.1? (a) 3\/4 (b) s (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*g + 3801 = 0, -5*g + 9*g = -16. 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 the value of ((-1)\/22)\/(2328\/(-17072))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 7*f + 8. Let h be u(-6). Factor 2*z**2 - 4*z**2 + 3*z**h.\nAnswer: z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 b, and 1 g when three letters picked without replacement from {j: 5, q: 1, b: 2, g: 1}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1495*l + 1509*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * 6.24.\nAnswer: -106.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -34. Let n be (c + 0 + -1)*9\/18. Let b = 0.9 - 1. Is b equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 173206, 173219, 173232, 173245, 173258?\n\"Answer: 13*j + 173193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*j - 1372 = 73*j + 1071 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4))**(-1\/31)*(s**(-1\/3))**(-50) assuming s is positive.\nAnswer: s**(6197\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -50, 2, 0 in decreasing order.\nAnswer: 2, 0, -1, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.6 - 4.4. What is the closest to 7 in n, 0, -1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2\/5, -3, 0.3, -5\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45033, -90035, -135037, -180039, -225041, -270043?\nAnswer: -315045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 1014*z + 1014. Determine x(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55199 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqayqmmqmmqqqymmqa. Give prob of picking 1 a and 1 q.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 537 + -536.07. Which is greater: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.5*75204.\nAnswer: -488826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t - 69 - 6*t - 86 + 137 + (-2 + t + 2)*(-1 - 4 + 3).\nAnswer: -8*t - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l**2 - 10*l + 10. Let x(u) = 10*u - 3*u - 7 - 3*u**2 + 0*u. Let o(w) = 5*g(w) + 8*x(w). Let f(k) = -164*k - 662. Let n be f(-4). What is o(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-588*1)\/(-3))\/2. What is the tens digit of ((-84)\/i)\/(1\/(-35))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n**2 - 8*n - 11. Let p(g) = g**2 + g. Let f(d) = 3*d**2 + 9*d + 4. Let a(x) = f(x) - 6*p(x). Calculate 11*a(l) + 4*t(l).\nAnswer: -l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 1 = -2*p, 40*p + 4*a = 42*p - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -31. Let h = -0.2 + 0.5. Sort -0.1, h, t.\nAnswer: t, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*a + 4*a. Suppose 3*r - a = -3*m + 2, -3*r - m + 7 = 0. Calculate the smallest common multiple of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + s**2 - 2*s - 251. Let u be g(0). Round u to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 33?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16584 divided by 4146.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 252848900 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124 and 166904?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2*j - 6 = 0, 2*p - 2 = 2*j + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 167347179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3051 = j, 4*t - 3*j = 4732 - 664. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 21924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -91*v - 6*v**2 + 9 + 86*v + 4*v**2. Let g be a(-5). Calculate the remainder when 22 is divided by (-20 - g) + (8 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*x**3 - 1 - 3*x**2 + 1 - 35*x + 0*x**3 - 64*x wrt x.\nAnswer: 30*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63048027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/2)*o*o**(-1))**(-7)\/((o*o\/(o\/((o**(2\/11)*o)\/o)))\/o**(2\/15)*o**(1\/14)*o*o**(-1)) assuming o is positive.\nAnswer: o**(10834\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, 297, 662, 1039, 1434, 1853, 2302?\nAnswer: 2787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j - j)*(4 - 6 - 5) - 235 + 235 - 81*j - 3*j - j + 6*j + (-5 + 3 - 1)*(0*j + j + j).\nAnswer: -78*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12315 is divided by 2919.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**2. Let l(q) = -11*q**2. Give l(v(i)).\nAnswer: -99*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 27*r - 4. Let h = 138 + -98. Suppose -5*b = 5*s - h, 7*b - 3*s = 2*b. Is w(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 + 44. Sort h, 1, -2 in increasing order.\nAnswer: -2, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -22\/19 (b) -2 (c) 3292\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + -56. Let a = i + 71.024. What is a rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -1, 2\/5, -2\/17 in descending order.\nAnswer: 10, 2\/5, -2\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(6\/(-33) + (-9)\/11). Let x be (-6)\/(-33) + 3252\/22 + s. What is the derivative of 1 + 2 + x*r**2 - 162*r**2 wrt r?\nAnswer: -36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 9. Let t be c(7). Suppose 3*a - 37 = t*l, 0 = 2*a + 2*l - 4*l - 28. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -4*b + 2, -8*b + 5*b - 1 = 5*t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 30, -2*m + 18475*p = 18469*p - 84 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 123367 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oooooooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7159325 to the power of 1\/2, to the nearest integer?\nAnswer: 2676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 15.2. Let w = v - 2. Suppose 35*u - 36*u + 21 = -3*i, u + 5*i + 11 = 0. What is the smallest value in u, -0.2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17545 or 17542?\nAnswer: 17542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfkawkd. Give prob of picking 1 w and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -104*a + 86. Calculate s(-5).\nAnswer: 606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/(-30) - (272\/48 + -7)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4645715299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6772574\/11 - 615682. Let 70\/11*o**2 + 40\/11*o + 2\/11*o**4 - 40\/11*o**3 - i = 0. What is o?\nAnswer: -1, 1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206007 take away -0.5?\nAnswer: -206006.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-5)*3\/(-6). Let m = 52 + -53. Which is the nearest to z? (a) 3\/7 (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*d + 8561 - 2381, 4*d = 3*s - 6176. Let q = d + 4584. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/1 - (1 - 13). Suppose -69 = -5*h - n. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 9 + 16\/(-4). Suppose -j = -g - 3 + 1, -5*j + 18 = -g. Solve -3*x + 7 = j*c, 3*c = 3*x - p*x + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 150 + -147.98. Let f = -0.02 + g. Put f, -2, -1\/3 in decreasing order.\nAnswer: f, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173301 = -184*g + 3025*g for g.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 14*x**2 - 4*x - 1. Let r(t) = 55*t**2 - 17*t - 5. Give -2*r(p) + 9*z(p).\nAnswer: 16*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -84450861?\nAnswer: 84450860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1390 and 556.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 442, 449, 460, 475, 494, 517, 544?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*p = n - 93, 0 = 5*n - 2*p - 152. Suppose a - 4*a = -n. What is the remainder when 27 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (34*4\/408 - 14\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 6, -1, 2\/3, 1.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**5 - 41*h**4 + 177*h**3 + 257*h**2 + 44*h = 0 for h.\nAnswer: -11, -1, -1\/5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 17*d**2 + 23*d + 33. What is the least common multiple of z(-5) and 9?\nAnswer: 3087","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 123\/(-82) + (-3 - (-80)\/64*6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-690)\/75 - (-198)\/(-540)*-6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 3*l + 7. Let o be k(-4). Suppose 0*a + t = -2*a + 21, -a + 8 = o*t. Calculate the greatest common factor of a and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3595*s + 122*s - 63189 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**3\/5 - 1796*g**2\/5 - 9064*g\/5 - 7264\/5 = 0 for g.\nAnswer: -4, -1, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18281 and 2424.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-392)*(19\/(-3) + 4). Put l, -5, -88 in increasing order.\nAnswer: -88, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**8\/2520 - i**7\/630 + i**6\/540 - i**3\/2 + 2*i. Let a(b) be the second derivative of y(b). Let a(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 553033.9 micrograms?\nAnswer: 0.5530339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840680067 to the power of 1\/3, to the nearest integer?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12528?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 2*l - 6*l + l**2 - 2*l + 2*l**4 - 5*l - 2 in the form o*l**4 + a*l**3 + k*l + b*l**2 + d and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 691919986 to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**2 + 6*v - 26. Let g(z) = -10*z**2 + 17*z - 78. Let b(q) = 11*a(q) - 4*g(q). List the prime factors of b(5).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7776979 or -0.02?\nAnswer: -7776979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 41440 divided by -10360\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121752 and 22002.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*f*r**3*v**3 - 22*f*r*v**2 + f*v**3 - 95*r**3*v**3 - r**2*v**2 - 2*v**3 + 316*v wrt r?\nAnswer: -216*f*v**3 - 570*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*y - 4198 + 2123 + 2085 - 112*y.\nAnswer: 4*y + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -89 - 88 + 261 - 85. Let c(o) = 3*o + 2. What is c(l) + p(l)?\nAnswer: 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 217*w - 4671. Give j(-19).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270) + (-2*sqrt(270) - sqrt(270)))*-1)\/(sqrt(108)\/sqrt(2) - (sqrt(6) - sqrt(24)\/sqrt(4)*1 - sqrt(6)))*6.\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 7*v + 2. Let p be f(5). Let k be (p\/8)\/(6\/8). Find the first derivative of 0 - s**3 - k*s**3 + 3 wrt s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-5))**(1\/9)\/(r**(-1\/4)\/r)**(-35))**(-27) assuming r is positive.\nAnswer: r**(4785\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 - 73.9. What is the third biggest value in b, 1\/3, 25, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*m + 46*m + 225 = 0. What is the least common multiple of 30 and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -842*n - 22735. What is z(-27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-642)\/856*32\/42.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8720050.\nAnswer: 2, 5, 19, 67, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 45.01, -1\/6, -1\/2?\nAnswer: 45.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -2120?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -457 (base 13) to base 2\nAnswer: -1011101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*g - 83*g**2 - 5*g**3 - 86*g**2 + 246*g**2 - 82*g**2.\nAnswer: -5*g*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/9*(-48)\/360.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -4*x. Suppose x = 4*s - 26 + 6. Suppose 0 = -s*l + 2*l. Are -1 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0919735km in meters?\nAnswer: 91.9735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -216317*f**3 + 30*f**2 - 24*f - 5. Let t be k(5). Round t to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 17196 - 1565 = 0. Let v = o + -562. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 12 = 4*j, 2*u - 36 = -2*j. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/((-3366)\/(-210) - 16)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 127 + -119. Suppose -f*a - 1144 = -12*a. Does 49 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9427?\nAnswer: 11, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 5*j - 48997, -163*f + 164*f - 16279 = -5*j. What is the remainder when f is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millennium in months?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**3 + 20*o**2 + 2*o + 33. Let z(l) = -l**3 - 10*l**2 - l - 17. Let a(p) = -6*j(p) - 11*z(p). Determine a(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.45115 and 1.2?\nAnswer: -0.54138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f - 3218 = -14619. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*t + 6*u, -4*u = -4*t + 40. Let k(m) = 9*m**2 - 4*m + 10. What is the hundreds digit of k(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p + 2 - 2)*(2*p**2 + 2*p**2 - 3*p**2) + 2*p**3 + 1 - 1 - 124*p**3 + 19*p**3 - 51*p**3 in the form n + a*p + h*p**2 + r*p**3 and give r.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**2 + 21*i + 10. Let l be g(-5). Suppose l*w + 20 = 9*w. Solve 0 = -2*k + 13 - w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -44*w - 516. Let y be p(-12). Solve -k + 4*k = -y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r. Let m = -17 + 28. Let u(o) = 59*o + 11. Let n(t) = -29*t - 6. Let p(s) = m*n(s) + 6*u(s). What is f(p(w))?\nAnswer: -70*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -20, 0, 2129 in increasing order.\nAnswer: -20, -2, 0, 3, 2129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + -11 + 306)\/(1\/2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*j + 4*l, l + 15 = 5*j - 2. Let u(n) be the first derivative of -3*n**2 - 1\/3*n**3 - 2*n - j. What is u(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 46, 50, 54?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/9 - (-50)\/6. Suppose -18 = -5*f - 4*d, d - p = -4*f + 2. Solve -4*w - 2*o = 2*o + 20, 2*w - 2*o + f = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3912 - 4665 - 10391 = 398*n for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 5*j**2 + 14*j + 5. What is f(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2341, -4694, -7051, -9412, -11777, -14146, -16519?\n\"Answer: -2*h**2 - 2347*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f + 34*f = 8*f - 123 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 3177 = 4*u - 0*r + 3193, u + 2*r + 10 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 1. Let b = 10.867 + -11.067. Let d = 0.4 - 0.4. What is the third biggest value in d, b, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3930308599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 344293*f**4*k**3 + 6*f**3*k**3 + 7709*f**2*k**3 - 2*f**2*k**2 - 4*f*k**3 - 3*k wrt f?\nAnswer: 8263032*f*k**3 + 36*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112 - -18. Let l be (-10)\/(-2 + (-3)\/(-2)). Suppose 0 = -d + l - x. What is d rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(35)\/(sqrt(15)\/sqrt(3)) + sqrt(7) + 3*sqrt(28)\/sqrt(4))**2.\nAnswer: 20*sqrt(7) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/7 - 38*f**2\/7 - 165*f\/7 - 18.\nAnswer: (f - 42)*(f + 1)*(f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y - 5*y = -2904. Calculate the remainder when y is divided by 43.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-147609)\/(-30672))\/((-7)\/2).\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w + 85. Let n be z(27). What is the second derivative of h**3 + 195 - 2*h**3 - 194 - 62*h - 18*h**n wrt h?\nAnswer: -216*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*1 - 42\/(-7). Let z(f) = f. Let j be z(4). Is u equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-7)\/(-5))\/((-2)\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 2 - (56 + 75 + -138).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/(-65)*(-5)\/(-11). Which is the closest to 8? (a) 2\/13 (b) w (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1727*m**2 - m - 2*m + 3*m + 1771*m**2.\nAnswer: 44*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, -0.3, -0.096, 0.68, 5?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 129. Determine h(-61).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -42*o**2 - 4*o. Let c(p) = -1684788*p. Determine c(h(l)).\nAnswer: 70761096*l**2 + 6739152*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 4:11 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/7, -0.083 in decreasing order.\nAnswer: 3, 1\/7, -0.083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90836.19nm to kilometers.\nAnswer: 0.00000009083619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 6*c - 12 = -2*c - 15*t, c - 5*t - 4 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.2439 * 0.3.\nAnswer: -2.47317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a decade?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 360\/(-21)*(-5 + -9). Let x be 16\/(-6)*u\/(-32). Suppose 0 = -22*g + x*g - 82. Which is greater: -43 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.276642908 rounded to 2 dps?\nAnswer: 7.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*r - r - 3*r)*(-3 - 3 + 3) - r - 2*r + 5*r - 1 + 1 + 2*r)*(-29*r**3 + 59*r**3 - 4*r - 29*r**3).\nAnswer: 7*r**4 - 28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + ((-2030)\/5)\/(-7). Let b(n) = -h*n + 200*n - 74*n - 84*n. Let a(r) = 3*r. What is a(b(v))?\nAnswer: -57*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21139332061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -6*q**2 - 21*q - 38. Let x(s) = 23*s**2 - 8*s**2 + 1 - 14*s**2. Let f(d) = g(d) + 5*x(d). Is f(-16) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b = -84*b + 665 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 884877 is divided by 487.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*y**2 - 255*y + 255*y.\nAnswer: 166*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1232912 and 33\/625492.\nAnswer: 768104176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 664, 1438, 2212, 2986?\nAnswer: 3760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -43640000 to the nearest one million.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b + 3*k = 43, 5*b - 2*k - 71 = 0. Suppose -3*v - 4 = -b. What is the least common multiple of v and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00178736 to six decimal places.\nAnswer: -0.001787","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1\/2, 1\/57, -1, 2\/57, -0.1?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 12:02 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -7*f**5\/20 - f**4\/4 + f**3\/6 + f**2\/2 + 9*f. Is x(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 33*y**2. Let p(b) = 6*b**2. Calculate p(x(z)).\nAnswer: 6534*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3260, -26051, -87912, -208379, -406988?\nAnswer: -703275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(245) + 4 - (sqrt(245) - 3*(sqrt(245) + -1*sqrt(245)))) + ((sqrt(245) - (-1 + sqrt(245)) - sqrt(245)) + sqrt(245))*5*-3)**2.\nAnswer: -154*sqrt(5) + 366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + h - 28. Let m(n) = n**3 - 6*n**2 + 4. Is m(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, -4, -315, 0.\nAnswer: -315, -4, 0, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j + j - 4*j)*(-7*j + 12*j - 7 - 8*j).\nAnswer: -6*j**2 - 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 107*y - 701. What is m(1)?\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25863 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*o + 90*o + 11*o + 971*o**3 - 800*o**3 wrt o.\nAnswer: 1026*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13487021*l*w + 1362*l + 946 wrt w?\nAnswer: -13487021*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 61*g - 65*g - 42, 78 = -2*h + 14*g for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -524164, -1048325, -1572486, -2096647?\n\"Answer: -524161*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)*s*s*s*s\/(s\/((s*s**(10\/9))\/s))*s)**(8\/3)\/((s*s*s**2)**(-1\/3)\/((s**6*s)\/s**(1\/3))) assuming s is positive.\nAnswer: s**(224\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*3*sqrt(133))\/(3*sqrt(175)*3).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 1)*(-14236 + 811*j + 14236) - 4*j + 3*j + 0*j.\nAnswer: -4056*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42365.\nAnswer: 5, 37, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -164 + 31*d**3 + 100 - 269*d**4 - 56*d**3 + 25*d**3 wrt d?\nAnswer: -1076*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/13 (b) 182\/11 (c) -4\/3 (d) -2 (e) 1252\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (205 - 192) + 2 + 1 + (-1 - -35)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 8096910*v + 32387560.\nAnswer: 5*(v + 4)*(v + 1619378)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*m - m + 14, -16 = -2*m - 2*p. Let k(d) be the second derivative of 3\/70*d**5 + 0*d**4 + 0*d**2 - 4\/21*d**m + 1\/105*d**6 + 0 - 4*d. Factor k(u).\nAnswer: 2*u*(u - 1)*(u + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340*i + 11*i = -1299879. What is the lowest common multiple of i and 27?\nAnswer: 11853","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/(-16830))\/((-42)\/(-238))\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 25*u = 16 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/((-16)\/192)*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8254 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3 + 3*n)*(18*n**3 + 6 - 6) - 6*n**4 + 5*n**4 - 28*n**4.\nAnswer: 25*n**4 - 18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u = -5*m + 807163, 0 = 5*u + 5. Suppose 0*n + 3*n - m = 0. Let i = n + -26411. Round i to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222022222 (base 3) to base 9.\nAnswer: 28288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 11:01 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (10 + -16)) + -13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y + 9 = -2*k + 6*y, -1 = -k + 4*y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/84 and -55\/4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -235*j + 18*j**2 + 235*j + 2*j**2 - 11*j**2 + 5*j**2 + (0 + 1 - 2)*(4*j**2 + 0*j**2 - 5*j**2) in the form s*j + l*j**2 + u and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10430391 is divided by 1001.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4777 + 8106. Is l 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 ewwawaa. What is prob of sequence awwa?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -294 - -c72c?\nAnswer: c488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -2. Let y be (-1 - 1) + (-62)\/x. Solve 3*r - 4 + y = 5*a, -5*a - 5*r = 15 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4332?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -157\/9411 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 283047.8 grams?\nAnswer: 283047800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/480 and -1\/330.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(1\/4)*r)**(-30))**(-22\/7)\/(((r**7*r*r*r)\/(r*r**(-5)))\/(((r\/(r**3*r))\/r)\/(r\/(r*r*r*r**(-2\/17))))) assuming r is positive.\nAnswer: r**(34547\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 695*t**3 + 681*t**3 - 1384*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q**2 + 76*q + 58. Does 44 divide t(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 325116 divided by 396\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -730 - -735. Let v(s) = -s - 3. Let y be v(-4). Let m be y\/(-4) + 9\/4. Sort 0, m, o.\nAnswer: 0, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 7*t - 3. Let l be g(-8). Suppose -l*a = 20 - 75. Solve -6 = p + 4*m + 18, 0 = -4*p + m - a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320.3877 rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*p - 7530 = -45*p + 89*p. List the prime factors of p.\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3176286.\nAnswer: 2, 3, 529381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6328, 21, 5 in decreasing order.\nAnswer: 21, 5, -6328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 12*o**2 + 27*o + 16. Let p be b(14). Suppose 0 = 5*h - v - 48, 2*h - 32 = 4*v - p. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 11:16 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-4))\/((-6 - 1)\/(-136934)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, 4, -4 in descending order.\nAnswer: 4, 0, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15396 and 0.00973708?\nAnswer: 15396.00973708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -34, -12, 5 in ascending order.\nAnswer: -34, -12, -6, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/7 + 790\/35?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-22)*m*m)*m**(2\/45)*m)\/(m*m**(-1\/2))**(3\/29) assuming m is positive.\nAnswer: m**(57401\/2610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19554?\nAnswer: 2, 3, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*m - 21 + 153 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -27.47 (b) 66 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1396*r + 1417*r + 3125*r)*(4*r**3 - r**3 - r**3).\nAnswer: 6292*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c + 8 = 13*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.66 - 0.34. Which is the second biggest value? (a) n (b) 2\/13 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-138)\/207*18\/366*-3\nAnswer: 6\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -49a9 (base 11) in base 16?\nAnswer: -1984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 11\/7, 4, -3, -2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/9)\/(-15*10\/(-5))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*m - 3*w + w, 0 = -m - 3*w - 7. Suppose -2*a + m*v = -58 - 29, 0 = 5*v + 25. Let h = 126 + -67. What is the remainder when h is divided by a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 0 + 1\/5*p**3 - 2\/5*p**2 - 1\/50*p**5 + 0*p**4 - 11*p. Factor j(i).\nAnswer: -2*(i - 1)**2*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10751 + 385 = 94*b + 22*b. Solve b*z = 944 - 176 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 11:47 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777137 is divided by 3084.\nAnswer: 3053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 56*j + 394. Let a be h(-7). Suppose 5*l + 104 = 13*l. Solve p + a*r = -l, 3*p - 1 = 2*r - 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**5*r**2 + 411*q**4*r**2 - 2*q**2*r**2 + 2*q**2*r + 21*q**2 - 7*q wrt q?\nAnswer: 60*q**2*r**2 + 9864*q*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*t + 239488215 = 752805915. Round t to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -5)\/((-6)\/18). Let f = 14 + i. What are the prime factors of -4*1 + (-8)\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17566 + -0.03\nAnswer: -17566.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.74016 - -0.31504. Let v = u + -0.0552. Which is the nearest to -0.1? (a) v (b) 0.2 (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2023320 - 130?\nAnswer: 2023140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 - 72*n**2 - 51*n + 171. Is z(-52) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in -2, 0.1, -117088?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v + 0 + 4 = 5*s - 19*v, 37*v - 29*v = 6*s + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Let u(t) = 67*t - 67*t + 2*t**2. Calculate u(a(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 1360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**3 - 25*l**2 + 9*l - 33. Calculate f(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 205637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56996.\nAnswer: 2, 14249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 1922*i + 923521.\nAnswer: (i - 961)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 11*q**2 + 2*q - 31. Let h(z) = 5*z**2 + z - 16. Calculate -9*h(f) + 4*i(f).\nAnswer: -f**2 - f + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338882 is divided by 48.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 612 - 261. Suppose j = 4*j - w. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 195 by 356499.\nAnswer: 5\/9141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 4)*(2*b + 2 - 2) + 1 - 1 - 11*b + (0*b + 2 + 1 + b)*(5 - 3 - 4) in the form z*b + v and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*q - 1516 - 1226 = 0, q - 2748 = -u. What is the remainder when u is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 451655568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5987 - 7307 = -30*p. Solve 0 = -p*j + 2*j - 42 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31538066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbrr when four letters picked without replacement from {b: 3, r: 15}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 182806 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k**4 + 3031*k**3 + 3030*k**2 = 0. What is k?\nAnswer: -3030, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 333661 - y**2 + 2*y**2 - 169804 + 305*y + 882672 + 1741*y.\nAnswer: (y + 1023)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147750337 + -62055084323\/420. Let k = l + -1999\/15. Calculate the common denominator of -56\/5 and k.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(2448)*-1 - sqrt(2448)) + -4 - (-3 + 2*sqrt(2448) + 1))**2.\nAnswer: -96*sqrt(17) + 39169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 5 + 4. Let b be -1*(2 + c + 4). Is 50\/b*(-6)\/5 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1259, -2082, -2923, -3782, -4659?\n\"Answer: -9*k**2 - 796*k - 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - 0)\/(1\/(-3)). Let n = l + -4. Suppose m - 15 = -5*p, n*m + 20 = -p - 1. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3617, -2, -3 in ascending order.\nAnswer: -3, -2, 0, 3617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9090 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 298, 288, 286, 298, 330?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.197 + -3.803. Let w be 75\/27 + 0 + -3. Suppose -170 = -3*i - 125. Which is the biggest value? (a) w (b) 1\/4 (c) j (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -2\/9, -2\/41, -5\/4, 1\/3, 2\/5?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (-471663)\/5427 + 60.\nAnswer: 6\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-28)\/(-3))*75\/(-18600)*-31?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(234)\/sqrt(2))**2 + (sqrt(208)*-1 + sqrt(208) - (sqrt(13) + sqrt(52)\/sqrt(4) + 3))**2 + (5*(sqrt(143) - sqrt(143)*2))\/(3*sqrt(33)\/sqrt(3))*3.\nAnswer: -56 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**5 - 4524*w**4 + 8*w**3 + 9048*w**2 - 4*w - 4524 = 0. Calculate w.\nAnswer: -1131, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/4420 and -137\/270.\nAnswer: 119340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4268, -10, 0 in increasing order.\nAnswer: -4268, -10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(152) + (sqrt(152) + 5*sqrt(152)*-5 - sqrt(152)))*-3)\/(((sqrt(72) + (1*sqrt(72) - sqrt(72)))*2)\/(sqrt(441)*2)).\nAnswer: -1512*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q. Let y(x) = -x**2 - 4*x + 3. Let l(c) = 2*a(c) + y(c). Suppose 10 = -2*s + 20. Suppose -5*t - 14 = 3*n - n, s*n + 2*t = 7. Determine l(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*b**4*d**2 - 14*b**3*d**2 - 130*b*d**2 + 3*b wrt b?\nAnswer: 216*b**2*d**2 - 84*b*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2151153 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*i - 28*i - 3*i**2 + 7*i + 2*i**2 to the form k*i + f*i**2 + v and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -402734*k**3 + 217246*k**3 - 761003*k**3.\nAnswer: -946491*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-12) - 696\/(-144). Suppose -p*r = 2*h - 478, h - 2*h - 5*r + 244 = 0. List the prime factors of h.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182172364 to the nearest integer?\nAnswer: 13497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 73528200.9 seconds?\nAnswer: 121.57440625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 8:05 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*d = 216*d + 50 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*m + 2. Let r = m - -4. Suppose r = 2*v + v. Solve 0*a = -v*g + a - 3, 2*g - 15 = -5*a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by (-9)\/6*(92 + -114).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339173473.\nAnswer: 29, 1423, 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-4 + 6 - 3). Suppose 138 = -j*h + 2*h. Suppose -3*g + 122 = f, 231 - h = 4*g + 2*f. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1277 + 6387\/5. Which is the nearest to 5? (a) 2\/11 (b) -0.01 (c) 4 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -119 + y**2 - 14*y + 43 + 40 + 48. Calculate the remainder when 28 is divided by u(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q - 7. Let g be n(-3). Suppose m - g*f - 19 = 0, 2*f + 2 = 4*f. Calculate the remainder when 55 is divided by 4\/6 + 280\/m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 18*c - 324*c + 12 - 24 to m*c + x and give m.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16 - (-1 - (-4 - 0)). Suppose 2*p = 4*q + 108, -5*q + 255 = 5*p - 0*q. Calculate the highest common divisor of p and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 11*f**2 + 13*f - 13. Let c(p) = 0 + 5*p**2 + 4*p + 2*p - 6. Let a(d) = -13*c(d) + 6*w(d). Let t(z) = 4*z**2 - 3*z + 5*z - 2*z. What is a(t(q))?\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 652.3898 tonnes to kilograms.\nAnswer: 652389.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1026483 less than 0.53?\nAnswer: 1026483.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 22) + (80 - 37) - 22\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*z**3 + 163*z.\nAnswer: -138*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13018 + 18793. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 70.80657cm?\nAnswer: 708.0657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1\/3, -46760\/317?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39, -26, -13?\n\"Answer: 13*l - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*u = 5, 6*a = 2*a - 5*u + 5. Let j(y) = 2 - 3 + 2*y**3 + a. What is the remainder when j(1) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476 - 3284 = -18*m. Calculate the greatest common factor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*x - 26*x - 334 = 674 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1393 - -11089\/8. Find the common denominator of 1\/8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -129, -200, -273, -348?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnn. What is prob of sequence nnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -14*o + 21*o - 11*o. Let n(j) = -j. Determine n(d(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5931, -5933, -5935, -5937, -5939, -5941?\n\"Answer: -2*k - 5929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/3)\/(6\/(-45)). Let p = h - -5. Solve -3*o = -p*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487 is divided by 105.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 1711 = 5*p, -2*z - 1031 = -4*p + 7*p. Let b = -317 - p. Calculate the greatest common factor of 416 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 9 = -i, 3*p = i + 15. Solve 33 = 5*c + p*r, -3*r = -c - 1 - 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**2 + 3*u**2 + 4*u**2 + (-2*u + 0*u + u)*(-3*u + u + u) - 2*u + 14*u**2 - 20 - 20 + 42.\nAnswer: 18*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -194 + 298. Let l be ((-4)\/6)\/(o\/24). Which is the second biggest value? (a) l (b) -5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 3:43 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 4*u**2 - 3*u**2 + (-3*u - 2*u + 4*u)*(-7*u - 22 + 22) + 4*u**2 - 5*u**2 + 5*u**2)*(4*u - 5*u - u).\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w. Let d(x) = 5*x - 102. Give d(i(z)).\nAnswer: -5*z - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/7, 2, -1\/2, 0.11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 832, 829, 824, 817?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 377867077 to the power of 1\/2, to the nearest integer?\nAnswer: 19439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*w - 33*w - 5*m = 28, 0 = -4*m - 24 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -5. Let i be (-18)\/(-8) - r\/16. Find the second derivative of -3*n**2 + 2*n**2 + 0*n - i*n wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 229 - 162. Suppose 8 = -w*u + 71*u. Solve -u*h = 2*p + 10, 5*p = 4*h - 2*h - 18 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 6*j**2 + 2. Suppose y - 1 = -0. Let q be y\/5 - (-87)\/15. Let s be t(q). What is the nearest to -1 in -5, -2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 17*x**2 + 14*x + 4. Let r be s(-4). What is the greatest common divisor of 15 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -45*c**3 - 35*c**2 + 35*c - 35. Let g(u) = -5*u**3 - 4*u**2 + 4*u - 4. Calculate -4*d(f) + 35*g(f).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -387.4282*-2.\nAnswer: 774.8564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567 is divided by 115?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37701 + -5466672\/145. Which is greater: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l. Let m(q) = 671*q. Give m(z(c)).\nAnswer: -1342*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -562, -551, -532, -505?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z + 20. Let v be s(3). Let t(y) = -y**3 + 11*y**2 - y + 16. Calculate the lowest common multiple of t(v) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**5\/2 + 51*i**4\/2 + 120*i**3 + 96*i**2.\nAnswer: 3*i**2*(i + 1)*(i + 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 139*u - 101*u. Let y(h) = -1 + h**2 + h**2 - 3*h + 4. Let f(p) = -15*p**2 + 25*p - 25. Determine u*f(j) + 25*y(j).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 0.17214 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - y = -31, 3*i = 3*y - 21 - 18. Let t be 34\/16 + i + 17. Let v = -3\/238 + 485\/714. Which is the closest to t? (a) v (b) 1\/4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(500)*-3)**2 + (sqrt(60) + (1*sqrt(300))\/sqrt(5))\/sqrt(12).\nAnswer: 2*sqrt(5) + 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u + 2 - 10*u + 11*u + (19 - 11 - 23)*(-31*u + 16*u + 14*u).\nAnswer: 19*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42458958 and 2196153.\nAnswer: 127376874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or 1.957?\nAnswer: 1.957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 5*d + 26 = 0, 2*m = 337*d - 295*d + 254 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68779 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n + 69*n + 368 + 864 = 0 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 1. Let p(y) = -7*y - 6. Let a(m) = -34*h(m) + 6*p(m). Let n be a(-1). What is the second derivative of n*r**2 - r**2 + 19*r - 10*r wrt r?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 30*f**2 - 19*f + 3. Let s(d) = 89*d**2 - 56*d + 8. Let t(w) = -8*m(w) + 3*s(w). What is the second derivative of t(k) wrt k?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 131*y - 95*y - 3.\nAnswer: 36*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*o + 542 = 0, 3*z = 4*z - 2*o + 270. Let m = -205 - z. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 371 and 265.\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95.106 - 0.106. Let k = t - 131. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12 - 2)\/(-6 - (-113916)\/18987) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0071804946 rounded to four dps?\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w + 85. Calculate the smallest common multiple of f(-7) and 92.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488.759 less than -2?\nAnswer: -490.759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 608.461 + -1.461. Let m = k - 606.9509. Round m to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(5\/9)\/g*(g*g**5*g)\/g assuming g is positive.\nAnswer: g**(50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 a when four letters picked without replacement from bbabbbbbeeaa.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 202 = q, 514 = 5*q + 2*i - 522. Solve 0 = 35*b + 17*b + q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001157 rounded to seven dps?\nAnswer: 0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {l: 6, n: 4, r: 3, y: 4}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (3 + (-9 - -42))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**3 + 4*b**2 - 4*b. Let c(j) be the first derivative of 21*j**4\/4 - 9*j**3 + 27*j**2\/2 - 91. What is 4*c(v) + 27*y(v)?\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 13 - 22 = 2*w, 3*w = -2*q - 10. Suppose d - 25 = -4*d, -25 = -5*h + 3*d. Sort q, 0, h.\nAnswer: 0, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1642744323 to the nearest integer?\nAnswer: 40531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612*u - 3576 = 910*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31753\/17 or 1867?\nAnswer: 31753\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 2*s + 307 - 293, 0 = -3*s + 2*x - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/460 and -13\/20.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y**2 - y - 1279. Give a(0).\nAnswer: -1279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 24. What is s(-11)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + t - 189. Suppose v - 32 + 8 = 0. Suppose 0 = 3*p - v + 3. Calculate the greatest common divisor of t and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -29. Is ((-3)\/(-3) - -1) + j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**2 + 180254*o - 180253 = 0.\nAnswer: 1, 180253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-125)\/(-45) + 2\/9. Suppose 4*h = j + 5, -h - w*j = -5*j + 4. What is the third derivative of -9*l**2 + l**2 + h*l**5 + 6*l**5 wrt l?\nAnswer: 480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + 17. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4*m = -7, 34*h + 86*m - 82*m + 238 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = c + 38. Suppose -5*a = -5*s - c, 8*s = a + 6*s - 2. Put a, -7, 2 in descending order.\nAnswer: 2, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1929 + 5665 - 1870 - 1866 - 2*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**3 - 2*u**2 + 33*u - 2. Let y(t) = 4*t**3 - 3*t**2 + 66*t - 4. What is 5*i(c) - 3*y(c)?\nAnswer: -2*c**3 - c**2 - 33*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -709*w**2 - 730*w**2 - 692*w**2 + 2132*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, h: 2, r: 1, k: 5, p: 7}. What is prob of sequence kpp?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 20*v + 142. Let p = -2331 - -2325. Calculate u(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373 a factor of 66918647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*q - 369, -2*w - 97355*q = -97350*q + 201 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -0.1, -3, -5, -4\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 7:10 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.9 - 1. Let r = -189 + 270. Let h = -407\/5 + r. What is the nearest to -1 in h, c, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-20)*(-5896)\/3015.\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 17, 26, 39, 56?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700)*4*-1)**2.\nAnswer: 27200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 13*w**2 - 49*w - 35. Calculate v(-16).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112*v + 216*v + 99*v)*(-2 + 2 - 1)*((-3*v**2 + 4*v**2 - 2*v**2)*(-4 + 3 + 0) + v**2 - 4*v**2 + v**2).\nAnswer: 203*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 232201 (base 5) to base 3\nAnswer: 102120002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**5 + 51*t**4 - 118*t**2 + 88*t - 286.\nAnswer: -40*t**3 + 612*t**2 - 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 173\/160332 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -29.706.\nAnswer: 8.9118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 12 = 0, -2*x + 1485 = 4*g - 109. Suppose -d = -6*d - 2*s + x, -4*s = -20. What are the prime factors of d?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 405784 or 605?\nAnswer: 405784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -68 + (-756)\/(-45) + 57\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -13*s. Let v(h) = -847*h + 147. Give v(g(x)).\nAnswer: 11011*x + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*z + 4*z - 8*z)*(-2 + 2 + z) - 4*z**2 + 23 - 23)*(-z**3 + 0*z**2 - 4*z**2 + 2*z**2).\nAnswer: 2*z**5 + 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 133 = 573. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 19. Let v be r(8). Solve f = -3*f + d + 18, -d = 5*f - v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2175307, 2175307, 2175309, 2175313, 2175319, 2175327, 2175337?\n\"Answer: z**2 - 3*z + 2175309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 9:24 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13983703.094 + -0.3.\nAnswer: 13983702.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 442, 3, -8, -14 in increasing order.\nAnswer: -14, -8, -2, 3, 442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 12:27 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (18\/(-16))\/(495\/(-60) + 9).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(54\/144)\/(2\/8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 40 = -6*m. Let t be (-20)\/m*(-2)\/(-4). Which is the closest to 2\/5? (a) -0.9 (b) 5\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8474 times 0.025\nAnswer: 211.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/2 + (-6 - -3). Suppose 2*t = -b*t + 54. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 18745 = a, 21*s - 19*s + 3*a - 12506 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = d + 14, 3*d - 14 = -4*a + 2*d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/9 - 2588*q\/9 - 837218\/9.\nAnswer: -2*(q + 647)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 1. Suppose 0 = 7*v - 3*v - 20. What is the units digit of j(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56935553 greater than 56935553?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 401 = -410. What is the units digit of 0 + b + (-16 - -5 - -938)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 7937 + 1877 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 9:43 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131 (base 12) to base 6.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6527194 - 118129157109\/18098. Calculate the common denominator of m and 40\/11.\nAnswer: 199078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**4 - 210*i**3 + 675*i**2 = 0. What is i?\nAnswer: -45, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4310 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22709, -45400, -68091, -90782, -113473, -136164?\nAnswer: -158855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(3\/2)*c**(2\/11))**(-42)\/((c**(-1\/4)\/c)**(-5)*c*c*c**0*c*c*c*c**(1\/9)) assuming c is positive.\nAnswer: c**(793\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4454162766?\nAnswer: 2, 3, 5237, 47251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 plus -0.1632444?\nAnswer: 117.8367556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s - 46. Let x be v(9). Let f be 2\/x*24\/(-15). Let u = -0.8 + 0.4. Which is the closest to f? (a) u (b) 1\/3 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1685332 or 1685342?\nAnswer: 1685332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 323 divided by -1.\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5115 (base 11) to base 9\nAnswer: -10276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j - 20. Let m be a(9). Let g be 2*(-2)\/(-18) + 1550\/(-90). Calculate the lowest common multiple of (-85)\/g - (m - -3 - 5) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 + 21. Let a = 79 - 63. Let f = a + z. Solve 1 - 6 = -2*m + 3*s, 2*s + 7 = f*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6510*o - 2223. What are the prime factors of s(4)?\nAnswer: 3, 17, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 17 + -20 + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2923*a + 209. Is w(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15\/4 of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 - 23*a**2 - 51 + 7*a**2 + 50 - 11*a**2.\nAnswer: -29*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5035*v - v**2 + 5402*v - 435*v - 3*v**2 + 3*v**2 to r*v + b + w*v**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 4*n - 5*n - 8, -5*f + 25 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18143 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -19281.4 to the nearest ten.\nAnswer: -19280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 52, 5, -4 in increasing order.\nAnswer: -4, 5, 7, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(152) + (sqrt(152) - (sqrt(152)*-1 + sqrt(152))))*3)\/(1*sqrt(968)) + (sqrt(228)\/(sqrt(60)\/sqrt(5)) - sqrt(76)\/(sqrt(4) - sqrt(4)*2))).\nAnswer: -140*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**1*f)**(1\/5)\/(f*f**1*f)**(-2\/23)*(f**5\/f**(-2\/7))\/(f**1)**13 assuming f is positive.\nAnswer: f**(-5356\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 i when three letters picked without replacement from iooeae?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(12\/11)*a**(-5)*a)\/(a\/(a\/(a\/a**(-16)))*a**(-9\/4)*a) assuming a is positive.\nAnswer: a**(-777\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 13) to base 6\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/1128 and 37\/1269?\nAnswer: 10152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -210211102021 (base 3) in base 11?\nAnswer: -273913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14533, 14170, 13807, 13444?\nAnswer: 13081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000113747711 to six decimal places.\nAnswer: -0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-14) + (-99)\/21. Let g = 108 + -112. Sort y, -1, g in ascending order.\nAnswer: y, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28575.7 - -26962. Round n to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -1.6 (c) -825\/4 (d) 20 (e) -2\/5 (f) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -243.83 - 0?\nAnswer: -243.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1620 = -7*k - 3*k. Suppose -7*i = 29 - k. Is i at most 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c**3 + 4*c**2 - 37*c - 4. Let q(m) = 7*m**3 + 5*m**2 - 47*m - 6. Let v(h) = -5*g(h) + 4*q(h). Let b(z) = -8*z**3 - 3*z - 5. Give 5*b(u) - 6*v(u).\nAnswer: 2*u**3 + 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 2*d - 6 = 0, x + 5*d - 26 = -11 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15200)\/532)\/((-100)\/(-175)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 939, 3482, 7629, 13380, 20735, 29694, 40257?\n\"Answer: 802*o**2 + 137*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.1203 and 0.5?\nAnswer: -1.56015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 - 4*n + 4. Calculate o(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 51 = 3*j - 6*o, -2*o = -2. Let n be (-2)\/3 - j\/(-27). Solve 4*g + 5 - 1 = n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -11 + 7 + -7. Let v be (-414)\/21 + a\/35. Let w be (-12)\/v*1\/3. Put 0.09, 0.3, w in ascending order.\nAnswer: 0.09, w, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15649*u - 5648 = 16002*u for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297018641 is divided by 10382.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248 = -45*p + 4*g, p + 13*g - 88 = -4*p + 17*g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctrrcyyrcyyyrwy. What is prob of sequence yywc?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512497223 is divided by 184?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/m**(-4))*m\/((m**(2\/37)\/m)\/m)*m assuming m is positive.\nAnswer: m**(-2\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -25*i - 85. Let w(d) = 56*d + 179. Give 9*v(u) + 4*w(u).\nAnswer: -u - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 plus -0.9?\nAnswer: 35.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*b + 43*b - 40. Let n(k) = 39*k**2 + 4*k - 8. What is the tens digit of n(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 396827?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/275 and 99\/1600.\nAnswer: 17600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -326*s**3*u + 1439*s**3 - 611*s**2*u + 107*s**2 wrt s?\nAnswer: -1956*u + 8634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d - 24*d - 29 = -13*d - 2*z, -30 = 6*z for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -605*z - 8777. What is l(-14)?\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2 less than -8812511?\nAnswer: -8812515.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/8)\/(((-27)\/9)\/3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -162 + 188. Let l = 30 + q. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 8595\/8398?\nAnswer: 8595\/8398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 6*j + 20. Let v(t) = -2*t**3 + t**2 + 2*t. Give v(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292044 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: Two letters picked without replacement from {i: 3, x: 5}. What is prob of sequence xx?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 0.9. Let m = f + -0.1. Let k be -1*7 - (-1)\/((-99)\/(-704)). Sort m, k, -4 in increasing order.\nAnswer: -4, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + -179. Let u = -197.8 - n. Let m(c) = c**3 + 3*c**2 - 5*c + 3. Let g be m(-4). Is u > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2569*j**3 + 142*j**2 + 12?\nAnswer: 15414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 29973.\nAnswer: -29977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 34. Suppose 0*t + j*t = 290. List the prime factors of t.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -63 - 15?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-1 - 3) + 2 - 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -24*i + 4. Let r be n(-7). Suppose 0 = 4*d - 548 - r. What is the highest common divisor of 225 and d?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(3\/7)*h*((h\/(h**(4\/7)\/h))\/h)\/h)**(-2\/43))**(1\/11) assuming h is positive.\nAnswer: h**(-4\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - 4*(sqrt(110) + sqrt(110)*3 + sqrt(110) + sqrt(110) - sqrt(110))) + sqrt(110) - sqrt(110))\/(sqrt(10) + sqrt(1440)*-3)*-6.\nAnswer: -114*sqrt(11)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5\/7)\/x*x*x\/((x**18*x)\/x*x*x) assuming x is positive.\nAnswer: x**(-138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 20*o + 38. Let k be c(-18). Suppose 0 = k*w + 3*m - 167, 298 = -2*w + 5*w - 5*m. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -585*a = -580*a - 4200. List the prime factors of a.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*r**2 + r**2 - 2*r**2 + (-r**2 - 2*r + 2*r)*(-1 + 2 - 3) - 2*r**2 + 0*r**2 + r**2.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 2:02 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90288*n = -90286*n - 14 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = a - 2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 take away 0.02181238?\nAnswer: -125.02181238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 69*x = -66*x - 10, 0 = 7*g + 4*x - 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2748 is divided by 106.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1090 is divided by 102?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 115 + 10. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 8:12 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z + 24. Let a(j) = 5*j + 47. Calculate -4*a(r) + 7*v(r).\nAnswer: r - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**2*n))\/n*n**(-1\/6)\/n)\/(n**1\/n)**(-7)*((n*n**0)**(22\/3))**(2\/37) assuming n is positive.\nAnswer: n**(-279\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 - -2 - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 127991*n - 3328360. What is a(26)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2840.311625 + 2840. Let j = l - -3.111365. Let m = 2.8 - j. Round m to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -184 in 1\/3, 2\/5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nd when two letters picked without replacement from dsbbsbkndbsbb.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 2. Let v be y(2). Sort v, -3\/5, 1\/7 in ascending order.\nAnswer: -3\/5, 1\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**3\/c)\/(c\/c**0*c*c))**44)**23 assuming c is positive.\nAnswer: c**(-1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0443767 + 0.0441. What is w rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49586.\nAnswer: 2, 24793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1315777 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4736233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - -21411606068.\nAnswer: 21411606105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 7*a + 5. Let p(c) be the third derivative of -c**5\/12 + 5*c**4\/8 - 11*c**3\/6 + 13*c**2 + 16*c. Determine 6*p(b) + 13*x(b).\nAnswer: -4*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*t**2 - 13861*t**3 + 117*t**2.\nAnswer: -13861*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3737002?\nAnswer: 2, 1868501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/3)\/2*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13b1 (base 13) to base 8.\nAnswer: -5440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t + 1726 = -562 for t.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 4\/5 (b) -884 (c) -0.1 (d) -2\/1139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 4:37 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 24*y**2 + 20*y + 181. What is r(-25)?\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5113 + -686. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-5 + 0)) + (-16 - -11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2074 = a + 5*d, -4*d - 8224 = 2*a - 6*a. What is the hundreds digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hfhhf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(((z**(1\/5)\/z)\/z)\/z))\/z**(-1\/20)*((z*z\/(z*z*(((z\/(z*z**(-2\/37)))\/z)\/z)\/z)*z)\/z)\/(z*z**(-5\/3)) assuming z is positive.\nAnswer: z**(16567\/2220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -11*l**3 - 18*l**2 - 119. Let p(b) = -9*b**3 - 15*b**2 - 121. What is -5*c(y) + 6*p(y)?\nAnswer: y**3 - 131","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 14, 20, 18, 2, -34, -96?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12200010220 (base 3) in base 12?\nAnswer: 54736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 103269300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 12 + 3 = -m, 4*m = -5*t + 15. Suppose m = p - 4*k - 21, k - 3*k - 15 = -p. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -22. Which is the fourth smallest value? (a) l (b) 0.3 (c) -1 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 54, 100, 196, 360, 610, 964?\nAnswer: 1440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 724 = -860. Let g(b) = -206*b + 20 - 8279*b**2 - 5 + i*b. Let v be g(5). What is v rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*o + 94*o - 256*o + 81*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 57*u + 86 = 53*u, -g + 8*u + 178 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1217 - -1230. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/100*-4)\/((-1)\/55)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjtkjwwjwtwwwt. What is prob of sequence jkw?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -11. Suppose -m = q*m. Let t(i) = 26*i**3 - 2*i + 1. Let w be t(1). Solve m = 7*f - 2*f + w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 29*t**3 + 13*t + 7. Let n(j) be the first derivative of -19*j**4\/4 - 9*j**2\/2 - 5*j + 167. Give -5*f(z) - 7*n(z).\nAnswer: -12*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/8 + -26*(-13)\/4 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 194197.33 to the nearest 100.\nAnswer: 194200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2.1. Let m = 0.11339 - 0.31339. What is the closest to y in 1, m, -9\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100001001010 (base 2) to base 12\nAnswer: -128a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1804*q - 794*q + q**3 + 8*q**3.\nAnswer: 9*q**3 - 2598*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, r: 1, y: 6}. What is prob of picking 4 y?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m - 8 = 0. Suppose m*l = 2*s + 18, -5*l + 25 = -2*l - 5*s. What is the remainder when l\/(-1 - 4\/(-3)) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 3*w - 45. Calculate the remainder when 29 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -3*t - 30, 11*z + 3*t + 12 = 12*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6088 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - s + 3 = 5*n, -8 = -5*n - 2*s. Factor 2*j**3 + 2*j + 0*j**4 - 4*j - 2*j**4 + 2*j**2 + 0*j**n.\nAnswer: -2*j*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 468, 27\/5, 4\/5, -0.4, 4 in ascending order.\nAnswer: -0.4, 0, 4\/5, 4, 27\/5, 468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/w**11)\/w)*w**8)**(2\/35) assuming w is positive.\nAnswer: w**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8492 is divided by 81?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*t - 5790, 4*k - k + 5*t - 4339 = 0. Suppose -2*x - k = -3*x - 3*d, 4*d - 12 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5788564 at least -5788564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 195807187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 244 (c) -455\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4 = -14, 3*b + 3*u = -101715. Round b to the nearest 1000.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -180 - -512. Let m = -220 + o. Suppose -u = 3*u - m. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71245656 divided by -1979046?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 55 + 17*h - 5*h - 55. Let t(i) = 2*i. What is t(k(l))?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + p = -57 + 49, -w + 3*p + 3 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8480096?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/2 + 23*n - 48.\nAnswer: (n - 2)*(n + 48)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2*a - 28 = 0, o + o - 5*a = -7 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49320?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 416538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/48*(-9)\/(-14).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.014056971 + 31239\nAnswer: 31238.985943029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*s - 31*s = 75*s + 10650 for s.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 4\/79 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -8. Suppose -3*t + 8*t - z = 2*h, 2*t = 3*h + 3. Suppose 4*l - 6 = 2*l. What is the remainder when l is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 1. Let g(k) = 5*k**2 - 2*k - 2. Let m(w) = g(w) + 2*x(w). Let f(n) = 2*n**2. Give f(m(z)).\nAnswer: 50*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 12*b**2. Let z(p) = -12*p**2. Give z(q(c)).\nAnswer: -1728*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 922 = -2. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 8*x**2 - 8*x + 1. Let w be p(9). Let k = -5 + w. What is the remainder when 119 is divided by (1 + -2)\/(k\/(-150))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41 + g**2 - 79 + 2*g**4 - 234147*g**3 - 6*g + 234146*g**3 + 3*g to l*g**2 + s*g**4 + f*g + n + d*g**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15294952101 and -23.\nAnswer: 15294952078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**2\/3 + 320*o\/3 + 432 = 0?\nAnswer: -4, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hj when two letters picked without replacement from jhvejhvvjjhhhl.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 + 6*r - 4. Let v be i(5). Let p = 106 + -72. Let l = v + p. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m**3 - 3*m**2 - 2*m - 3. Let a be ((-152)\/(-95))\/(3*(-1)\/15). Let d(f) = 17*f**3 + 8*f**2 + 6*f + 8. Calculate a*n(c) - 3*d(c).\nAnswer: -3*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (21 - (5 - (-15 - -3))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-26)\/10)\/(15\/(-75)). Let f(p) = 4*p + 18. Let n be f(l). Suppose -66*a = -n*a + 12. Solve 0 = 4*s - s + a for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -453*p. Let z(v) = 530*v**2. Calculate u(z(f)).\nAnswer: -240090*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 546 and 482526.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(378)*1 - sqrt(378))*3)\/(sqrt(6)*1*4))\/(2*sqrt(900)*3*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 13 + 6*4\/8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/3 + ((-164)\/(-12) - 14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkf when three letters picked without replacement from kbxkbkkbkkffbbbfkff.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 263286.6 - 263302.599949. Let w = -16 - s. What is w rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/1 + (-20)\/(-1 + -3). Let x be h\/((-3)\/(-50)) + (-6)\/(-18). Solve -4*s + 2*q = 5 + x, 0 = 5*q - 15 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j = -46*j + 31349. List the prime factors of j.\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 522, 2244, 5128, 9174, 14382, 20752, 28284?\n\"Answer: 581*o**2 - 21*o - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-four fifths of a century?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29.103 + -29. Let f = s + -3.103. Let j = 0.1 + -0.3. What is the nearest to j in -0.5, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -3*l + 2*v, 5*l - 3*v - 12 = 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 939*a**2 + 192*a + 43. Let q be u(7). What is the highest common factor of 26 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 24 - (1 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**5\/4 + 509*t**3\/4 - 126*t**2 - 253*t = 0?\nAnswer: -23, -1, 0, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 0.012 (c) -2 (d) 4 (e) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13797 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*a*g**2 + 12*a*g*j**3*u - 2*a*j**3 + 2*g**2*j**3 + 26*g**2*u - 135*g*j**2*u - 2*g wrt g.\nAnswer: 98*a + 4*j**3 + 52*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 0.1587.\nAnswer: -0.1587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 7*t - 33. Solve 36 = -4*z + t*c, -5*z + 4*c - 22 = 18 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 0*m**3 + 1\/4*m**5 + 0*m**2 + 2\/15*m**6 + m + 1\/12*m**4 + 0. Solve q(d) = 0 for d.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 988.009 millimeters in meters?\nAnswer: 0.988009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 418130 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.125 (b) -2\/235 (c) 1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 7\/3, 1, -1 in descending order.\nAnswer: 7\/3, 1, 1\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3885 is divided by 259?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -2168\/2297?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 + 2*v - 1. Let o = 16 + -15. Let b(h) = 10*h - 35*h**2 + 19*h**2 - 22*h + 15*h**2 + 13*h. Determine o*u(z) - 3*b(z).\nAnswer: z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 122614?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 79 = 26. Let s = g - 84. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-19 + 20)\/(2\/8). Let g = -49 - -49. Let i be (1 - 3)\/(3 + 1)*g. Solve i = a*t - 0*t + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*s**4 - 1004289*s**3 - 8132799*s + 2.\nAnswer: -492*s**2 - 6025734*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -11. Suppose -1 + o = s, -q = 4*s - 16. Suppose q*z - 5*n = 50, -3*n + 9 = z - 12. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 52.07, -0.2, -2\/3 in increasing order.\nAnswer: -2\/3, -0.2, 14, 52.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7594 - -1617518\/213. Let r(d) = 4*d**3 - 8*d**2 + 1717*d - 3433. Let b be r(2). Is b less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 - 5*p. Let w(a) = 1783*a**2. Calculate d(w(k)).\nAnswer: -6358178*k**4 - 8915*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 + 60. Let z(w) = 14*w**2 + 23*w + 5. Let b(y) = y**3 - y + 1. Let h(v) = l*b(v) + 2*z(v). Factor h(r).\nAnswer: 2*(r + 2)**2*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) 1 (c) 0.4 (d) -1\/9 (e) 8 (f) 48 (g) 52\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26.1357 months?\nAnswer: 2.177975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29471*a = -29467*a + 2*t - 36, 24 = -2*a + 20*t for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 5*d**2 + 5*d. Let k be m(-4). Sort 2\/13, -0.1, k in descending order.\nAnswer: 2\/13, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5, 3*a + 3*g - 9 = -6. Let r(c) = c**3 + 5*c**2 + 5*c + 1. Let m be r(-4). Sort m, a, -5.\nAnswer: -5, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 675, 677, 679, 681, 683?\nAnswer: 685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -71, -70, -69, -68, -67?\n\"Answer: d - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 657, 1329, 2009, 2697, 3393?\n\"Answer: 4*z**2 + 660*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -35. Let p = j + 1. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -566*y**2 + 9*y. Let u be h(6). Let c = 42622 + u. What is c rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-15) - (-3 - (-83)\/20).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1534684 (base 13) in base 2?\nAnswer: 11001110110111111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17694095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 865695 (base 14) to base 8\nAnswer: 21263023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -46373*z**2 - 11 - 66*z + 92739*z**2 - 46368*z**2 as y + h*z + k*z**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 23520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h - 60. Let u be t(10). Solve 4*x - 5*v + 8 = u, 0 = 5*x - v - 4*v + 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1341, 5381, 12115, 21543, 33665?\nAnswer: 48481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 + 38. What is the nearest to -2\/5 in 5, 1\/3, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 10:36 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 9 = -19. Solve -g = p + 4*k - 2, 5*k + 25 = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 - 665*l. Let j(w) = 195*w. Determine j(o(y)).\nAnswer: -390*y**2 - 129675*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4379.551 micrograms?\nAnswer: 4.379551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2068811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 57 - 0) + 3 + -11 + (-12 - -16)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-804)\/18*(-105)\/245*(-49)\/(-14)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -96*p**2 + 8*p + 8. Let h(r) = 32*r**2 - 3*r - 3. What is 8*h(z) + 3*k(z)?\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/7))**10\/((r\/((r\/r**2)\/r*r))\/r**(-3\/2))*(r**(2\/7)*r)**(-5\/4)*(r*r**(-1\/2)*r)**28 assuming r is positive.\nAnswer: r**(159\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (610\/183)\/((-32)\/(-6))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*i - 67, -9*m + 3*i = -8*m - 15. Let w(j) = -2*j**3 + 37*j**2 - 19*j + 16. Calculate w(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -107, -114, -135, -176, -243?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 6*z. Suppose 0*s - 5*t = 4*s + 23, 0 = -3*s - 5*t - 21. Let u(x) = x**2 + x + 1. Let g be u(s). Which is the closest to z? (a) -0.1 (b) g (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 z when three letters picked without replacement from {j: 3, t: 1, z: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 15, c: 4}. What is prob of picking 4 c?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48923385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c + 0*c - 9 + 5 + 3.\nAnswer: -9*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 n when three letters picked without replacement from nwnawanw?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13425 divide 4958083096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15005, -3\/5, 1\/5, -5, 0.3 in decreasing order.\nAnswer: 0.3, 1\/5, -3\/5, -5, -15005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -74817.2 at least as big as 127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13974120?\nAnswer: 2, 3, 5, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 39*v - 41*v - 13, -14 = -2*p + 4*v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v - 27. Let a be ((-210)\/v)\/(2\/(-6)). Round a to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 24, 85, 200, 387, 664, 1049, 1560?\nAnswer: 2215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796602?\nAnswer: 2, 3, 103, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 23. Let i = 172.9 - 168.9. Which is the closest to -1? (a) 0.1 (b) i (c) -13 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 0*d + 6*d + 10*d. Let f(t) = -t. Let c(i) be the first derivative of -i**2\/2 + 9. Let v(z) = c(z) - 2*f(z). Give u(v(n)).\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1157214 and 102413439.\nAnswer: 204826878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1280, -2105, -2930?\n\"Answer: -825*w - 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 665254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + d. Let w(b) = -3*b**2 - 1. Let q(c) = -2*m(c) + w(c). What is l in q(l) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2238 times -168.4\nAnswer: -37.68792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -15932*s + 175176. Calculate v(11).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 248939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13628068 and 2169?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9661.973 nanograms in micrograms?\nAnswer: 9.661973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -46458\/7013?\nAnswer: -46458\/7013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1246, -1259, -1284, -1327, -1394, -1491, -1624, -1799?\n\"Answer: -d**3 - 6*d - 1239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*n + 1802769 = -32*n. What is the thousands digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 616044 - -1161?\nAnswer: 620235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5))\/((-14)\/((-4900)\/315)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 3*a - 6799. Calculate q(83).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.14 - -0.64. Sort d, -4, 0.1 in decreasing order.\nAnswer: d, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 4, 3\/5, -585, 3\/14, 2?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by -1.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 3, -1, -5\/4, -3\/34, 2\/5, 5?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + 3.8. Let v = 0 - p. Let f = -3 - v. Sort 5, -0.2, f in descending order.\nAnswer: 5, f, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 1. Let f be s(4). Suppose -5*j = 3 - 18. Suppose -j*i = -2*d + 6 + 2, 5*i = f*d - 12. Solve -5*z + 3 = -c + 17, 4*c - 3*z - 5 = i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - q**2 + 4 + (0 - 2 + 1)*(3*q - 3*q + q**2) + (0*q - q - q)*(-78*q - 31*q + 56*q) - 2 + 2*q**2 + 2 as c*q + m*q**2 + u and give m.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 581916 and 27320.\nAnswer: 5819160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -578, -3453, -10920, -25277, -48822, -83853?\nAnswer: -132668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65758*d**3 + 139323*d**3 - 73356*d**3.\nAnswer: 209*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**5\/20 - o**4\/24 - o**3\/3 + o**2. Let n = -1607 - -1607. Suppose 2*i = -4*s + 6, 4*i + n*s = -5*s + 12. Calculate z(i).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2682001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 10*z**2 + 11*z + 5. What are the prime factors of c(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -53285, -210080, -471395, -837224, -1307561, -1882400, -2561735?\n\"Answer: r**3 - 52266*r**2 - 4*r - 1016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96244 is divided by 2919?\nAnswer: 2836","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Is 1287 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/2 + 396*l + 7720.\nAnswer: (l + 20)*(l + 772)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 - -0.49. Which is smaller: i or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v + 2*v - 4*v - 2*v + 2*v + 2*v + (3 - 2 - 3)*(5*v + 0*v - 4*v) + v - 3*v + 3*v + (2 - 2 - 1)*(-11*v + 201*v + 43*v).\nAnswer: -231*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 + 14 + 33)*(-15*p**4 + 3*p**4 - 14*p**4) as j*p**2 + a*p + g + y*p**4 + h*p**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*t**5 - t**2 + 16*t + 2 wrt t?\nAnswer: 60*t**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - -17?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -29737 (base 11) to base 4\nAnswer: -22102210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 262, 0, 4 in increasing order.\nAnswer: 0, 4, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-246)\/(-8) + 9\/36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -769.274 + 770. Round w to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + 4*t**2 + 0*t**2 + (1 - 1 - 3*t)*(2 - 2*t - 2).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 889167879?\nAnswer: 3, 23, 151, 28447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnppnnnnpgnnnnpp. Give prob of sequence gnn.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h + 9*h - 9*h + (4*h - 2*h + h)*(1 - 3 + 5) as u*h + i and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**7\/168 + n**6\/96 + n**5\/48 - 5*n**4\/96 + 786*n**2. Determine g, given that r(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 4:33 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15685.8989 rounded to 0 dps?\nAnswer: 15686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -305444554 - 1?\nAnswer: -305444555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 12 = -z. Let f = z - -13. Suppose -f = -b + 4. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38020 and 7604?\nAnswer: 38020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 - 21. Suppose -4*m + 44 = -2*u - u, 0 = -2*m + 3*u + x. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -851 + -335087?\nAnswer: -335938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4988?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = -178*g + 169*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 6*g + 18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2042807 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670308 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 58424273?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54437*n - 734200*n - 324756*n.\nAnswer: -1004519*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l + l - 138 + 141)*(-3*l + 4*l + l) + (2*l + 0*l + 0*l)*(2*l - 4 + 4).\nAnswer: 18*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1495*m + 5*m**3 + 0*m**2 + 0*m**2 - 1495*m.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-3*i**4 - i**2 + i**2) - 39 - 2*i**2 + 25 - 2*i**3 + 3*i**4 + 21.\nAnswer: 9*i**4 - 2*i**3 - 2*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*i + 17*i + 227*i - 10206 = 0 for i.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from {h: 2, d: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 35122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20552 greater than 226070\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 167*a**3 - a**2 + 4*a - 2. Let m be v(1). Find the second derivative of y**3 + 8*y**3 - 183*y + 9*y**3 + y**2 - 3 + m*y wrt y.\nAnswer: 108*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -18\/97, -2\/173 in descending order.\nAnswer: 2, -2\/173, -18\/97, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 1216.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37566056*r - 2*r**2 + 37566056*r.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbfa when four letters picked without replacement from {s: 1, a: 1, t: 2, f: 1, b: 1, q: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*s + 234 + 68, -3*s - 106 = -j. What is the smallest common multiple of 10 and j?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 5*k + 2 = 0, 5*s + k = s - 14 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7e508 - -c?\nAnswer: 7e515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5264079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15\/4*o**2 + 3*o + 3\/4*o**5 - 3\/4*o**4 - 15\/4*o**3 - 3 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -290248*n**5 - n**4 + 1565998*n**2.\nAnswer: -17414880*n**2 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**2 - q**2 - 9*q**2 - 2*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1820750 divided by 25?\nAnswer: 72830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 157219488*q**3 - 28*q + 846765.\nAnswer: 943316928*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7)**(-23)*(f\/f**(-5\/3)*f)\/(f*(((f**(2\/17)\/f)\/f)\/f*f)\/f) assuming f is positive.\nAnswer: f**(-7928\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22279 - 346*g + 22279 to f*g + l and give f.\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/10)\/2*(-200)\/(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4898735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*j - 61560 + 60876 = 0 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 d, and 1 g when three letters picked without replacement from {g: 4, k: 3, d: 2, n: 9}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 13*o**8\/1008 - 4*o**7\/21 + 44*o**6\/45 - 71*o**5\/30 + 211*o**4\/72 - 5*o**3\/3 + 1628*o**2. Find h, given that l(h) = 0.\nAnswer: 3\/13, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/14)\/(2\/20). Suppose h - 3*h + 5*n - s = 0, 3*h = 5*n. What is the greatest common divisor of 55 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51244186 or -51244184?\nAnswer: -51244184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 20*k**3 - 4. Let c(l) = -41*l**3 + 7. Calculate 4*c(x) + 7*j(x).\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.263 + 0.763. Put 1.9, m, -2\/7 in ascending order.\nAnswer: -2\/7, m, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-81)\/18*57\/(-8721)*8\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9)\/(-6) - (-315)\/2 - 4 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29828, -59581, -89284, -118937?\n\"Answer: 25*x**2 - 29828*x - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 126952?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1897060, -1897051, -1897042?\nAnswer: -1897033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164, -165, -250, -485, -936, -1669?\nAnswer: -2750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, i: 6, v: 5, f: 3}. What is prob of sequence fv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -15 + (-23 - -15) + 2 + 11 + -7.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45074479 is divided by 1408577?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2. Suppose 5*c + 3*h = 4*h + 21, -3*c = -2*h - 14. Let p be (9\/6)\/(3\/(-6)*-1). Let k(r) = r**2 + p*r - c*r + r. Calculate k(x(z)).\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*g - 15*g - 1437 = -94 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/67)*n\/n**(-33)*(n**(-3\/7)*n)**(-14\/9) assuming n is positive.\nAnswer: n**(19948\/603)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 3 + (2625\/28)\/(-25). Let k be (-1)\/(-2) + 6\/(-8). Let h = 1 - -3. Which is the closest to j? (a) h (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 539 = -413. What is the second smallest value in 4, h, 20?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 90 = -3*l + 4*a, 5*a = -4*l + 192. List the prime factors of l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7838440 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 239 - 235. Suppose 0 = 4*p - 5*p - 1, 0 = -4*b + y*p - 20. Let q(d) = d**2 + 7*d + 10. Calculate q(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*n - 53 = 0, 4*u + 0 = 2*n - 46. Let a(p) = 3*p**2 + 29*p + 4. Let d be a(u). Suppose -27*v + 26*v = -d. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.7 and 0.128283341.\nAnswer: -0.571716659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**3\/4 + 3605*n**2\/4 - 805450*n - 12285375 = 0.\nAnswer: -15, 1810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 2*z - 4*c = 14, 7 = z - c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) -3\/4 (b) -4\/5 (c) -1\/4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/35, -0.2, -5, 4.4, -1\/3?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -2427.9 (c) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 165*l**2 + 916*l + 49584. What is w(172)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17b2 - 16?\nAnswer: -17c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25640 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238*s = 264*s - 1768. What is the remainder when 2310 is divided by s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/44 + 1732\/48)*252\/294.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10490?\nAnswer: 2, 5, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2085 a factor of 13208505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 4*t + 77 - 20 = -18 - 41, 2*t + 8 = 0 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 18*i + 10. What is m(3)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 1:09 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - -109. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.716093 rounded to one dp?\nAnswer: 150.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k - 4 + 4)*(0 + 1 - 2) + 6*k + 1 + 5 - 3.\nAnswer: 11*k + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*a + 2*f + 3216 = 95*a, 3*a = -4*f + 1914. What is the greatest common factor of 535 and a?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6272 and 3624040?\nAnswer: 57984640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by 1223.\nAnswer: 28\/1223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1157012*s**2 + 40*s - 252445995.\nAnswer: -2314024*s + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 7. Let l be d(5). Suppose 0*c = -l*c + 4*t + 26, -14 = -3*c + t. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**3 + 47*h**2 - 11*h + 7. Let q be p(-12). Let w(t) = 2*t - 4. Let o(b) = -3*b + 4. Determine q*w(a) - 4*o(a).\nAnswer: 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147 and 5168625.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(9\/2)*6. What is the second derivative of 3*b - k*b**3 + 0*b**2 - 4*b**2 + 4*b**2 wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 p when three letters picked without replacement from {n: 2, p: 5, r: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 666? (a) -4 (b) -5 (c) 2 (d) -3.1 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(3\/(-2)) - 6. Let p(x) = x + 6. Calculate p(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*o + 8. Suppose 4*i + 4*a - 160 = 0, 5*a - 7 = -o*i + 73. Calculate the highest common factor of 16 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)\/h**5)\/(h*h*(h**(1\/3)\/h)\/h*h)**(3\/2)*((h**(2\/21)\/h)\/(h\/(h*h**(1\/5)\/h*h*h*h)))**22 assuming h is positive.\nAnswer: h**(1522\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/7*45\/15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -15. Let u(x) = -x - 6. Let n be u(s). Suppose 3 = 3*c, 5*t + 2*c + 3*c - 450 = n. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-10) + (-84)\/10. Let w(k) = 5*k**2 - 13*k - 8. Let m(t) = 22*t**2 - 54*t - 32. Let x(g) = -2*m(g) + 9*w(g). Let c be x(0). Is c < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 + 8 = 21*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3 = -q + 4, 4*q + 26 = 2*h. Suppose h*a - 256 = a. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -6 - (10 + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 253683346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 11*o**2 + o - 7. Let p(y) = -10*y**2 - 2*y + 6. Let b(r) = 7*p(r) + 6*q(r). Suppose b(j) = 0. Calculate j.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4112310.7 to the nearest 10000.\nAnswer: -4110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4134 divided by -53.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 204.6 + -279. Is -0.1 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -206, -229, -246, -251, -238?\n\"Answer: h**3 - 3*h**2 - 21*h - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.3 (c) 4\/61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**2*j**4 + 6*c**2*j**2 - 5*c*j**2 - 991500*j**5 - 14644*j wrt j?\nAnswer: 24*c**2*j - 59490000*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*i**3 - 96*i**3 + 8*i**2 + 110*i**3 - 6*i to the form f*i + b*i**3 + y + l*i**2 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*u - 11803, 23586 = 4*u - z + 3*z. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -11*n + 1. Let w be t(-3). Suppose w = 2*c - 5*l, c + 2*l = -3 + 2. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 16. Suppose -h*u = -4*u. Solve u*a + 3 = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29223, -58448, -87673, -116898?\nAnswer: -146123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in years?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 15, 0, -5, 2 in descending order.\nAnswer: 15, 5, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 73*g - 792 = -0*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.6425 rounded to zero decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*k - 9*k**2 + 27*k**2 + 100*k - 19*k**2 - 1 as m + g*k + b*k**2 and give g.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*j - 89. Let f = 100 - j. Suppose -5*r = -10*r + f. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1770 + 6520. Is 19 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*((g*g**(-1\/3))\/g)\/g))**(18\/13)*(g*g\/(g\/((g\/(g\/(g**(-3\/5)*g)))\/g))*g)\/(g*g**(2\/15)) assuming g is positive.\nAnswer: g**(142\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -5. Suppose 7*s = p*s + 22. Suppose 3*n - 3*g - 39 = 0, g - 4*g = -2*n + s. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9.1 from -113.\nAnswer: -122.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3434 divided by 2?\nAnswer: 1717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126*(-56)\/504 + 15519\/1113.\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 18*v - 14. Give r(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2304.138137575 + -2300.46044. Let h = -0.022312725 - b. Let z = h + 3.7. Round z to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(1\/4))*x*x\/x**(4\/5))**35 assuming x is positive.\nAnswer: x**(133\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3331720663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/8 of a tonne in kilograms?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 7:19 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2058 divided by 42\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from {x: 17, c: 2}.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/22)\/q**(-1\/7) assuming q is positive.\nAnswer: q**(43\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p. Suppose 0*j - 2*l - 10 = 5*j, -2*l - 10 = j. Let m be k(j). Suppose m = 4*g - 3*g. Solve g = 2*q + q - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13326 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**7\/1155 + n**6\/110 - 3*n**5\/110 + n**4\/33 + 4*n**2 + n + 29. Let h(u) be the second derivative of x(u). Factor h(i).\nAnswer: -2*i*(i - 4)*(i - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100731699 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 437653643 and -1045442.\nAnswer: 436608201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75\/4 + -18. Which is the third smallest value? (a) l (b) 2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*p + p. Suppose 3*l - 2*n = 8, l - 4 = 4*n - 8. Let t = p + l. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2196 - 1326. List the prime factors of l.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32\/56 + (-110173)\/(-196)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*k**2)*(-8*k + 2*k + 0*k)*(k - 11*k - 41*k).\nAnswer: 612*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 5. What is the remainder when 35 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2027917 is divided by 405579.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**4 - 242*q**3 + 9720*q**2 - 162400*q + 976000 = 0.\nAnswer: 20, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 5*l**2 + l**2 - 4 - 9*l**2 in the form n*l + c*l**2 + t and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0357 + 358?\nAnswer: 358.0357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c**2 - 251*c + 39. Calculate h(-64).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 13 = 5*v. Suppose -v*a + 48 = -a. Solve 4*d = -0*d + a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 - 80. What is the remainder when 46 is divided by (37\/5 + -6)\/(s\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3206005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 14*i**2 + 75*i - 1311. Calculate s(7).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 150*c**2 + c. Is f(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**5\/60 - o**4\/8 + 23*o**3\/6 + 13*o**2. Let c be k(-6). Solve -4*t - 4*w + 28 = 0, 5*t - c = -2*w + 18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-1 - -21))*1692\/17766.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -944, -903, -800, -605, -288, 181, 832?\n\"Answer: 5*u**3 + u**2 + 3*u - 953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31125106 to the nearest integer?\nAnswer: 5579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 78669 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -67 - 664*b**2 + 28 + 28 + 11 as n*b + m + x*b**2 and give x.\nAnswer: -664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 3*s + 2, -s = -4*u + 3*s. Let f be 20\/(-96)*((1072\/88 - 12) + (-108)\/110). Which is the closest to f? (a) u (b) 2\/9 (c) 0.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 + 38. Let n = c - -20. Solve -2*r + 6*r + 20 = n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 8*x - 7*x. Let g be 3 - (-1 + 7) - x. Solve 3*h - b = -1, g*h - 2*h + 4 = -3*b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*s = -82, -s + 18 = g + 1. Suppose -g*a + 15*a = -8. Let v(h) = -2*h**3 + 2*h**2 + 1. Give v(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122956.6 rounded to the nearest 1000?\nAnswer: 123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0038425636 to 5 decimal places.\nAnswer: 0.00384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*r - 21 = 120*r + k, -3*k + 1 = -4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g + 0*g - 2 - 2*g + 2 + 3*g - 3*g + 2*g + (1 - 2 + 0)*(0 + 0 - 2*g) - 4*g - 4*g + 6*g - 8 + 8 + 11*g)*(3 + 1 - 2)*(4 + 0 - 2).\nAnswer: 40*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 166 - (2\/(-6) + (-5)\/3). Let k be (-28)\/(-24)*-2*-9. Calculate the greatest common factor of k and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1. Let p(c) = 2*c**3 + 6*c**2 - c - 4. What is -4*l(h) - p(h)?\nAnswer: -2*h**3 - 6*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/5 (b) -82 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 1.004.\nAnswer: 1.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -1024410?\nAnswer: 1024402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 2:51 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(6\/17)*i**(-26) assuming i is positive.\nAnswer: i**(-431\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2418793 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 7*b**2 + 5*b + 16. Let m = 28 + -3. What is the remainder when m is divided by w(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 16. Suppose -2*v - 5*w - 17 = -2, 3*w = -2*v - 9. Suppose -6*i = -2*i + 4. Sort g, v, i in decreasing order.\nAnswer: v, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 7*k + 5. Let w = -5 - -5. Suppose -4*q + 5*q = -3, 4*p + 5*q - 9 = w. Is z(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1163367264?\nAnswer: 2, 3, 19, 33569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 251320?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-54)\/(-180))\/((-26)\/8))\/((-63)\/315).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**5\/140 - 7*j**2\/2 - 1. Let g(a) be the second derivative of d(a). Factor g(k).\nAnswer: 3*k**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*((-440)\/(-50))\/(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*w + 3*y + 4, -4 = -w + y. Calculate the common denominator of 39\/10 and (-94)\/18 + w - 2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-30)\/8)*2\/24.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.0279 or 0?\nAnswer: -1.0279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(275)*-2 + sqrt(275))*-2 - (2 + 2 + sqrt(275)))*-4)**2.\nAnswer: -640*sqrt(11) + 4656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3285 and 3139.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 15*c + 42. Let w be h(3). Is w at least 86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*5\/20)\/(-3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**6\/40 - p**5\/20 + p**3\/3 + 7*p**2. Let z be c(-1). Find the first derivative of 1 - 15*r**4 - z + 2 + 22*r**4 wrt r.\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * 348052.\nAnswer: -4524676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 45 = -0*v. Suppose 0 = r + 1 + 1. Let d be (-4)\/r + (6 - v). Which is the smallest value? (a) 0.5 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 733*f**3 - 6*f**2 - 2*f. Let s be z(-4). Round s to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 - 3*w - 15. Let p be z(-7). Let u = p + -48. Calculate the greatest common divisor of u and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*b**4 - 49*b**3 - 6103 wrt b?\nAnswer: 40*b**3 - 147*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 45*q + 9*q**2 + 38*q.\nAnswer: 9*q**2 - 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.904301045 rounded to 4 decimal places?\nAnswer: 0.9043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/39996 and 15\/25553.\nAnswer: 919908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19.3 + -17.3. Are a and 1\/21 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4323527 rounded to the nearest 100000?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-4) + 1)*(-8944)\/129. Round b to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04116 * -12.0984.\nAnswer: 0.497970144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22 + 2*z**3 - 27 + z**3 + 0*z**3 - z**3 - z**3 + (0 + 0 - 1)*(-4*z**3 - 3*z**3 + 5*z**3) + 3*z**3 - z**3 - 3*z**3.\nAnswer: 2*z**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5242 + 0.0242. Let v = -0.542 - i. What is v rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 111*x + 115*x = 2292, -915 = -2*h - x. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 9:29 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (501 + 312 + 649)*(0*d + 2*d - 4*d).\nAnswer: -2924*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffmfuzqfmqfufudffufz. Give prob of sequence fudu.\nAnswer: 3\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109 - -114. Suppose 0 = -j*z - 4*l + 173, 3 - 92 = -2*z + 5*l. Calculate the remainder when 70 is divided by z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15004 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 3*s + 3 = -6*s, 0 = 2*c + s - 14 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192713604 by 35484.\nAnswer: 5431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 2*l**2 + 0*l**2)*(-3*l**2 + 2*l**2 + 0*l**2) - 43*l**2 - 171*l**4 + 43*l**2.\nAnswer: -172*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1519 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3554769 - -5897762. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -46178, -53188, -60198, -67208?\n\"Answer: -7010*w - 39168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/2 - 26359*x**2 - 527362*x - 949284.\nAnswer: (x - 52738)*(x + 2)*(x + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 8*t**3 - 12*t**2 + 14*t - 15. Let o be m(5). Let u = o + -536. Does 73 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.535 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**4 + 60*n**3 - 1935*n**2 - 2110*n + 3984 = 0.\nAnswer: -83, -2, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89 + 39. Suppose 15 = 4*k + 7. What is the lowest common multiple of l and k?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 0*k + 71\/60*k**5 - 49*k**2 - 1\/3*k**3 + 0 + 11\/6*k**4. Find the second derivative of x(o) wrt o.\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 172656?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2306619464?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.700309 tonnes in micrograms?\nAnswer: 9700309000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 93412.9 micrometers?\nAnswer: 93.4129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3610625*l**2 + 799717*l?\nAnswer: 7221250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16277?\nAnswer: 41, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + r + 1)*(-1 - 3 + 5)*(-17*r + 62 + 74*r - 72*r).\nAnswer: -15*r**2 + 62*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51810431 is divided by 331?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103304 (base 7) to base 10.\nAnswer: 17987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3.12, 1\/9 in descending order.\nAnswer: 4, 3.12, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*d - 4*p - 208 = 0, 3*d + p - 2*p - 178 = -189 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*t + 8. Let z be 6\/t*18 - -2. Suppose 5*o - 94 + z = 0. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24 + 61 + 2*s**3 - 27 + s**4 wrt s.\nAnswer: 4*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11 + 1060\/318*(-3 + 0). Let n(c) be the first derivative of s - 2*c**2 + 1\/3*c**3 + 0*c. Give n(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 - 35. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 + (8 - ((22 - 11) + -19))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*i - 15 + 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89235 and 387.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -36*g**5 + 6*g**4 + 22*g**3 + 22*g**2 - 22*g. Let x(p) = 5*p**5 - p**4 - 3*p**3 - 3*p**2 + 3*p. Let a(j) = -6*t(j) - 44*x(j). Solve a(n) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 42 - 34 + 75*y - 70*y. Let m(w) = w**2. What is m(d(a))?\nAnswer: 25*a**2 + 80*a + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**6\/9 + 4*y**5\/15 - 4*y**3\/9 + y**2\/3 - 1. Factor j(k).\nAnswer: -2*k*(k - 1)**3*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 8 + 5*c - 20.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-2*2\/(-4)). Suppose 5*x = 5*l + 30, -3*l = 4*x + x - 62. Solve -2*z - b*z = x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a minute in milliseconds?\nAnswer: 33750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2 + 8 + (-46 - -1040)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -807?\nAnswer: -807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 - -12. Let j be (b - 0\/(-2))\/1. Let k = -12 - j. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1022 + -1772. Round l to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 461943 a multiple of 243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + -2 + 2)*-5. Let x be -2 + 132\/(-24)*(-72)\/66. Solve -20 = -y - 5*n, x*y = -r*n + n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - 7)*(-4 + 0)\/20. Let c = -9 + 1. Let q be c\/(-6)*6\/(-4). Is r smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from wweebevevbeve?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 701 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-476)*(-774)\/(-12)*56\/24.\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*c**4*l*n - 342101*c**2*l*n - 4*l*n + 3*l + 4*n - 198 wrt c.\nAnswer: -36*c**3*l*n - 684202*c*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zozozzol. What is prob of picking 2 o, 1 z, and 1 l?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 - 57 - -28 - -105?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2897 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*i - 0*i. Let p = 32 + i. Calculate the greatest common divisor of p and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(912))\/sqrt(3))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**4 + x**4 + 2*x**4)*(14 - 5 + 4).\nAnswer: -13*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115177 is divided by 115174.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*h**2*i**2 + 76*h**2*i - h**2 - 16*h*i - 6802*i**2 + 2 wrt i.\nAnswer: -80*h**2 - 13604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 + 6*d - 8. Let q be v(6). Let h be q\/12 - (1 + -4). Which is the nearest to 1? (a) h (b) 0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = 5*w - y, 0 = -3*w + y + 16. Let n(l) = 4829226*l - 9*l**2 + 7 - 4829226*l. Let h(b) = -5*b**2 + 4. Determine w*n(r) - 7*h(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5363, -5368, -5383, -5414, -5467, -5548, -5663?\n\"Answer: -u**3 + u**2 - u - 5362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8337060 by 416853.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 3*l**4 - 22 + 4*l - 5*l)*(8 - 9 + 8).\nAnswer: 21*l**4 - 7*l - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-22) + 4\/((-88)\/(-7366)). Let j = 751 - q. Is j a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-3*g**2 - 3*g**2 + 5*g**2) + (-1 - 2 + 1)*(-2 + 0 - 2)*(4*g**2 - 4*g**2 + 3*g**2) + 7*g**2 + 12*g - 12*g.\nAnswer: 33*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 3 + x**3 - 72*x**2 - 3 + 4 to the form c*x**3 + g*x**2 + s + n*x and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 175? (a) -3 (b) -290 (c) -0.4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 7. Suppose -9 = r*s - 3*s. What is the remainder when (-11*4 - 1)*(s - -8) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**6\/60 + w**5\/60 + w**4\/12 + w**3\/6 + 3*w**2. List the prime factors of l(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 74*s - 428. Calculate the remainder when 303 is divided by y(-80).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86639521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 1:17 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/453920?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*i + 2216 = 162*i - 77*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/8 (b) -0.3 (c) 0.3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wdmddwwwbwwdbbbdb. What is prob of picking 1 d and 3 w?\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 76*x**3 + 105*x**2 + 17464 wrt x?\nAnswer: 228*x**2 + 210*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/6, 4, 595, -3\/8 in descending order.\nAnswer: 595, 4, -1\/6, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 9*t + 14. Let q be u(-7). Solve -5*a - 2*c = 23, 0 = 4*a - q*a + 3*c + 24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = m + 2*m. What are the prime factors of m?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1013434 is divided by 67.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4842710301 to the power of 1\/2, to the nearest integer?\nAnswer: 69590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -229 + 228. What is the units digit of (-26)\/104 + (3186\/8 - b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -145, -169, -193, -217, -241?\n\"Answer: -24*m - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -31?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.5355 in -4, -2\/37, 0.3, 1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 6:45 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 3762?\nAnswer: -3763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = 17*w - 572. Suppose -6*q = -w + 37. Solve -2*x = 7 - q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1431*b**2*r + 3*b*r - b - 1901*r with respect to b.\nAnswer: -2862*b*r + 3*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, 0, 1, -5, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2244.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2. Let q(m) be the second derivative of -23*m**7\/1260 + m**4\/4 + 8*m**2 + 2*m - 37. Let l(t) be the third derivative of q(t). Determine l(x(a)).\nAnswer: -46*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.1. Let q = -0.076 - -0.576. Which is the smallest value? (a) q (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*s + 17*s - 34*s)*(443 - 443 - 18*s**2) - 2*s**3 + s**3 - 2*s**3.\nAnswer: 555*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3)\/y**5*((y\/y**(1\/7))\/y)\/y**(-4))\/(((y*y\/(y**(1\/7)\/y))\/(y**8\/y))\/(y**(2\/5))**(-2\/63)) assuming y is positive.\nAnswer: y**(1151\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(30\/594) + 3\/15. Solve -17 + a = 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802206614.\nAnswer: 2, 11, 36463937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q - 4. Let k(m) = 6 - 4 - 5 + 2*m. Let c(t) = -4*k(t) + 3*v(t). Determine c(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-6)*(-36)\/(-8). Determine a so that q - 3*a**2 + 6*a**3 + 10*a - 13*a - 3*a**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**2 + 16*i + 3. Let k be t(5). Let s be ((-1456)\/(-20))\/(k\/500 - 0). What is s rounded to the nearest one hundred?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1972376528 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u + 2*u + u + (13 + 0 - 2)*(-u - 3 + 3).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 6*c - 84. Let i be (-12)\/(-16) + (-702)\/(-24). Let m be i\/7 + c\/(-49). Solve -22 = -m*l - 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 47, 5, -81, 1, 661 in ascending order.\nAnswer: -81, -3, 1, 5, 47, 661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -30\/1457?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3 + 3452*i**2 - 6898*i + 3448 = 0.\nAnswer: 1, 1724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 238?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26836319?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -66*r**2 + 61*r**2 - 6*r**2. Let y = 13 + -11. Let m(j) = y*j**2 + 2*j**2 - j**2 + j**2. Determine m(x(k)).\nAnswer: 484*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2129160 to the power of 1\/2, to the nearest integer?\nAnswer: 1459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 - 25*f**2 - 56*f - 59. Let k be l(-10). Sort k, -5, -7 in increasing order.\nAnswer: -7, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2096502 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: Solve -84 = -4*r + 10*y, -1441*y + 1440*y = 4*r + 26 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 230965016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 230, 3, 3076, -0.4 in descending order.\nAnswer: 3076, 230, 3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssnsspghn. What is prob of picking 4 s?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -916a85 (base 13) to base 15.\nAnswer: -46d039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(504\/2079)*(-32)\/6.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l\/(((l\/l**(-3\/2))\/l*l)\/l)))\/l**(-5\/2))**(-2\/53)*(l\/((l*l**(-5))\/l))\/l*l**1*(l**0)**(4\/5) assuming l is positive.\nAnswer: l**(310\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 2*l**2 - 13 - 3 + 58 + l**2.\nAnswer: -l**2 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-2 - (5 + -10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 2. Let s be c(-4). Let i be (-48)\/18 - s\/(-3). Does 3 divide (-1 + -6)*-1 + i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61 - -2) + (12 - (-5 + 6 - 3)) + -13?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 2:05 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011010 - 10000110110?\nAnswer: -1111011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*1)**2*3 - -3*(-1 + sqrt(272) + sqrt(272)).\nAnswer: 24*sqrt(17) + 456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8953 divided by 1\nAnswer: 8953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42*i + 3565 + 3560 - 7131 + (0*i - 2*i + 0*i)*(0 + 2 - 1 + (2 - 2 + 1)*(2 + 1 - 2) + 0 + 3 - 1).\nAnswer: -50*i - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-132 - 676 + 254)*(-2 + 2 - v**2)*(-1 - 2*v + 1).\nAnswer: -1108*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -19. Let n = -7 + q. Let x = 3 + n. Calculate the remainder when 9 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 4 (c) 46\/33877 (d) -3 (e) 0.1 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-7) + (-12 - -7 - (-1251)\/252)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 5284*t**2 + 47483*t + 42200.\nAnswer: (t + 1)*(t + 8)*(t + 5275)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence letl when four letters picked without replacement from {p: 2, t: 4, e: 1, l: 2, y: 3}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 44 = -3*d - 5*m, 4*d - 88 = -2*m. Let a = d + -14. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -41209.\nAnswer: -41209.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 11*v = 88, -23*f + 40 = -2297997*v + 2298002*v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f**2 + 3*f - 3*f)*(-141 - 128 - 75) as p + s*f + w*f**2 and give w.\nAnswer: 1720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/(23064\/48) - (-393)\/(-155)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5626537 and 7952.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 + 5*x**2 - 2*x + 5. Let v be c(-3). Suppose -n + 13 + 7 = 5*q, -2*n - v = -4*q. What is the second smallest value in q, 1\/5, -0.2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/((v\/v**(1\/9))\/v)*v*((v*v**(-1\/5))\/v)\/v*(v**0*v)**(3\/23)*v\/v**(1\/2)*v*(v**(-1\/4)*v)\/v*(v\/((v*v**(-1\/6))\/v))\/v*v**(4\/3) assuming v is positive.\nAnswer: v**(15697\/4140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*d**3 + 9*d**3 - d**3 - 6*d**3 + (-2*d - 1 + 1)*(-4*d**2 + 2*d**2 + 4*d**2) + 3*d**3 + 0*d**3 - d**3 - 2*d**3 - d**3 + d**3 + 0*d**3 + 0*d**3 - d**3.\nAnswer: 34*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010110010000001100001 + -1011001?\nAnswer: -101010110010000010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 6. Let n be m(10). Suppose 10 = 4*h - 5*i, 5*h - 2 = i - 0. Solve 0 = -h*p - n*p - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 z, and 2 h when four letters picked without replacement from zhhhx?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 t when two letters picked without replacement from {t: 2, m: 1, u: 3, z: 1, w: 3}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5170 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 1:38 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - s + 3, 5*u - s + 3 = -0*u. Let a(j) = -j + 1. Let t be a(0). Let o be t - 1 - -1 - -3. Solve -5*v - 5*h - 10 = u, -5*v = o*h + 2 + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1144 and 0.07.\nAnswer: 0.1844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1377*o = -498*o + 1816*o - 117 - 45698 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -0.03\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + sqrt(891))**2 + sqrt(891) + sqrt(77)\/(sqrt(112)*-3 + sqrt(7)).\nAnswer: 890*sqrt(11)\/11 + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/((z*z**(1\/4))\/z))**48)**48 assuming z is positive.\nAnswer: z**4032","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 263 - 284 + 3*p**2 - 3*p**2.\nAnswer: p**2 - 547","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1890? (a) 0 (b) 1\/6 (c) 6 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 6, y: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 617 a factor of 3605845633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1846cb (base 15) in base 6?\nAnswer: 41140132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2\/3 (b) -3 (c) 5 (d) 0 (e) -2168 (f) 6 (g) 0.05\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 7:28 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k + 164. Let v be z(44). Suppose 3*g + 2*l = -3*l + 169, -207 = -4*g - 3*l. Calculate the greatest common factor of v and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v - 24 = -36*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -364455*l - 1. Suppose d + 19 = 18. Let s be f(d). Suppose -2*i = s + 443546. What is i rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16453060 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/12)*g*g**0*g)\/(g**(1\/2)\/(g*g*g\/(g\/(g**(3\/2)\/g))*g)) assuming g is positive.\nAnswer: g**(61\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 - 209854*j + 1049274. Determine l(5).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 8. Suppose 4*h - 16 = n, -4*z + 3*h = h. Suppose -2*l = -3*v - z, 0 = 4*l - v - v - 12. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9676 divided by -41\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2190588361 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 120?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -406194956, -406194954, -406194952, -406194950, -406194948, -406194946?\nAnswer: -406194944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4503304 by 237016.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.37676 * -0.5.\nAnswer: 0.68838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -24. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -3. Suppose -h - 5*a + 1 = q, 4*a - 2*a - 18 = -2*h. Suppose 0 = 24*c - 137 - 31. Calculate the smallest common multiple of h and c.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2049 + -1903.9. Let z = v + -145. Which is the second smallest value? (a) 19 (b) 0 (c) 1 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -27831*k - 249953. Give w(-9).\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4191 and 2159?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61010 or -60603?\nAnswer: -60603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 55 = 50. Let p be 144\/n*5\/(-2) + -2. Sort -1, 3, p in ascending order.\nAnswer: -1, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 40716?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.2821 meters in millimeters?\nAnswer: 55282.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**3 + 8*d**2 - 43*d + 198. What is g(5)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 104.1 (c) 0.048\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g - 12. Calculate the remainder when 244 is divided by c(-26).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1100)\/(-750)*-15 + ((-36)\/60)\/((-2)\/(-10)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 894?\nAnswer: -4470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 121840093 to the power of 1\/2, to the nearest integer?\nAnswer: 11038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -54. Let c = -24 - a. Solve 18 = m + 2*g + 2*g, 2*g - 2 = -c*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -43*d - 12. Let c(b) = -b**2 - b - 2. Determine 3*c(t) + v(t).\nAnswer: -3*t**2 - 46*t - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1bb9db44 - 1?\nAnswer: -1bb9db45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*n - 44147 = 0, -15*v - 4*n = -10*v - 110425. List the prime factors of v.\nAnswer: 71, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -4949*a**4\/12 + 945*a**2\/2 - 52*a - 37. What is the derivative of v(y) wrt y?\nAnswer: -9898*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7744*q**5 - 24992*q**4 - 28612*q**3 - 13324*q**2 - 2060*q - 100.\nAnswer: -4*(q + 1)**3*(44*q + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 45*(23 - (-12 - -12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13218 and 726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -104 - 1457.\nAnswer: -1561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101 (base 2) to base 11.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 14. Suppose -48 - 2 = -2*s. Suppose -13*j - 12 = -s. Calculate the smallest common multiple of j and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1592 is divided by 1591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22394 + 22420. Calculate the highest common factor of m and 54106.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (41\/369)\/((-2)\/(-25902)) is divided by 144.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 5. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**3 + 28*n**2 + 18*n + 9. What is w(8)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 1. Let y(w) = 3*w - 10. Suppose 11 = -7*s + 2*s + 2*n, 0 = n - 3. Give s*y(i) - 4*u(i).\nAnswer: -3*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.5. Let g be (-22)\/(-36) - (-17)\/(-153). Which is the third smallest value? (a) h (b) g (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 8:27 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 178 - 1248\/7. Let b = -42\/11 + 736\/187. Sort -3, c, b in ascending order.\nAnswer: -3, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-135)\/(-10)*(-16)\/(-12). Is x smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6*t**2 - 10*t + 5. What is the units digit of u(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -28 (c) 5 (d) -72 (e) 0 (f) -1 (g) 0.069\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gct. Give prob of sequence tgc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 4:48 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -504 (b) -2 (c) 4 (d) 2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 37.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.1895?\nAnswer: -0.0379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -66, -65, -56, -33, 10, 79, 180, 319?\n\"Answer: y**3 - 2*y**2 - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2370 - 2394. Which is the nearest to r? (a) -0.4 (b) 2 (c) 0 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**3 - 19128*g**2 - 31*g - 20 wrt g.\nAnswer: 18*g - 38256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10265 and 12318?\nAnswer: 61590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3073.016 - 3066. What is t rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 247, 259, 279, 307, 343, 387?\n\"Answer: 4*l**2 + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -1)*(-150)\/6. What is the highest common divisor of w and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 997.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/10*-5 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 3086.2\nAnswer: -1543.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*d - 6. Suppose 4*g = -12 - d. Let i = 3 + -4. Which is the closest to 1\/4? (a) i (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(384) - sqrt(384)*1*-1)\/((2*sqrt(88))\/sqrt(11)) + 3.\nAnswer: 3 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41535.\nAnswer: 3, 5, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5*(-956)\/(-16)*-4.\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 1:37 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-7) + 1248\/1344. Which is the smallest value? (a) 25 (b) r (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -1 + 0 - 1. Let d = -6.8 - -1.8. Let f = d + 9. Which is the smallest value? (a) f (b) y (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-6)*((-63)\/5 - -13). Factor -2\/3*u**3 + 4\/3*u**2 - a*u**4 + 0*u + 0.\nAnswer: -2*u**2*(u - 1)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 200 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by -2696134\nAnswer: -51\/2696134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 14 = -5. Solve -2*a - d*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 45 - 35. Suppose -25 = -5*o, -z*d + 4*d - o + 25 = 0. Calculate the highest common factor of d and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/3403?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63613 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**3 + 2*w**3 + w**3 + (-2 + 2 - 2*w**2)*(-2*w + 2*w - 3*w) - 5*w**3 + w**3 - 2*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 18 - (-13 + 0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, z: 1, k: 1, r: 7}. What is prob of picking 1 r and 1 z?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 632395 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -747 + 809. Calculate the remainder when 207 is divided by j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/80 and -71\/440.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a meter in centimeters?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3212*s**2 - 4764*s. Let l(p) = -1607*p**2 - 2383*p. Let z(c) = 9*l(c) - 4*o(c). Find the second derivative of z(y) wrt y.\nAnswer: -3230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 125 = -45. Let j = -10 - u. Solve g = j*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*x + 0*x**3 - 578*x**2 - 7 - x**3 + 3*x**3 + 580*x**2 to the form r*x**2 + l*x + s + m*x**3 and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450173198930*w**2 + 450173198892*w**2 + 1 - 1.\nAnswer: -38*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135175 is divided by 2080?\nAnswer: 2055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 + v**4 - v**4 - 119*v**4 + 5*v + 5*v + 117*v**4 + (v**3 - 2*v**3 + 2*v**3)*(2*v - 2*v - 3*v) + v**3 - v**3 + 2*v**4.\nAnswer: -5*v**4 + 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.055 + 0.055. Is x greater than 2\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w\/w**1)\/w)**(5\/12))**(-1\/8)*((w**(-1))**(-24\/11))**32 assuming w is positive.\nAnswer: w**(768\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1341821038 and 7?\nAnswer: 9392747266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -1. Let t(u) = 3*u + 2. Determine s(h) - t(h).\nAnswer: -3*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/4 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02717 to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 8417.28332?\nAnswer: 8417.38332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.084946 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 t, and 1 e when three letters picked without replacement from {p: 1, y: 1, t: 1, g: 1, e: 1, b: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1464 + -71.0464. Let i = w - -71. Let x = 1.98 + 0.02. What is the nearest to i in x, 3\/5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 138?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 134.79 - -93.15. Let l = c + -225. Let k = -3 + l. Round k to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + d + 7. Is y(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from xxhxtthxxrrltrxxtr.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 4140780.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*g - 6 = 0. Let l = -102 + 407\/4. What is the second biggest value in g, l, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 16 = v, 3*y - 31 + 7 = -v. Let r(p) = p**3 - 7*p**2 - 8*p - 2. Determine r(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + t + 12, -q + 2*t = 4. Solve 5*f + j - 9 = -j, -15 = -q*f + 3*j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2388 + 13987. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d + 7*d = 2648800. What is d rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 479287.8 seconds?\nAnswer: 133.1355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -220311231243 - -3?\nAnswer: -220311231240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + 2*t - 19. Let l be b(3). Suppose -3*d = 5*u - 4*d + 4, u + 16 = 4*d. Let m = 3 - 4. Sort l, u, m in increasing order.\nAnswer: m, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9568, 19581, 29594?\n\"Answer: 10013*a - 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 526 - 10. What is the greatest common factor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.07 (b) -4 (c) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 6*u**2 - 14*u + 24. Let f be g(-10). Let x = f - -239. Calculate the lowest common multiple of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -7, -4 in increasing order.\nAnswer: -30, -7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b**3 - 8*b**2 - 2*b**3 - 4*b**3 + 52 + 13*b**3 + 0*b**2. What are the prime factors of f(8)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j - 5. Suppose n + 2 = 0, -3 = 3*u + 2*n - 20. What is the units digit of r(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119144048 divided by 4.\nAnswer: 29786012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ciqs when four letters picked without replacement from qciqqsc.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ql when two letters picked without replacement from {q: 2, s: 1, n: 1, z: 2, l: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -1. Let v(b) = 18*b + 11. Let o be v(9). Suppose 3*u - q*s = -2*u + o, 2*s + 142 = 4*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21758, 43493, 65204, 86891, 108554, 130193?\n\"Answer: -12*u**2 + 21771*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.3, -0.6, 3, 0.2, -0.15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1100 divided by -5\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - p + 1. Let i be n(1). Let k be (0\/(-11))\/((-3)\/i). Solve -4*r + 2 + 2 = k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**3 + 4*s - 2*s + s**3 + (-5*s**2 - 8*s**3 + 3*s**2 + 7*s**3)*(53 - 73 + 58).\nAnswer: -40*s**3 - 76*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*m + 5*m**3 + 13*m + m**3 - 2*m**3 wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 864 and 0.029.\nAnswer: 864.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2137081 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18060776*d - 2*d**2 - 18060776*d - 12*d**2.\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3194 or 45655?\nAnswer: -3194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 4349*i**2 - 4081*i**2 + 8426*i**2 + i.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/2 - (4 + -6). Let p = 438 + -435. Solve -5*h - n*s - 18 = 0, -4*h - s - p*s = 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16149 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/7 and 24\/106366243.\nAnswer: 744563701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*a**4 - 6*a**2 - 6 - 2*a**3 + 11*a**4 - 73*a**4 + 22*a**4 to the form x*a**2 + u*a**3 + g*a**4 + h*a + n and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.0144825936 minus 0?\nAnswer: -123.0144825936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 379*p - 61444. Let q be z(294). Let j = -3 + -4. Let o = j - 2. What is the fourth biggest value in o, q, 2\/21, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.09 - -4.09. Let o = -2 + m. Which is the closest to 0? (a) o (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (192\/(-56))\/4*14\/2. Let l = 197 + -120. Let a be 47\/l - (i + 270\/42). Sort 0.2, 3, a, -4 in increasing order.\nAnswer: -4, a, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 119 = -37. Suppose -n + 4*n = 2*k + 117, 156 = 4*n + 3*k. What is the highest common divisor of i and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ede when three letters picked without replacement from ddede.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -4. What is the derivative of 0*t + 2*t - 3*t - c - t wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*c = 4, 0 = -2*x + 4*c + 22 - 0. Solve -x*u - 18 + 3 = 0, 0 = -2*d - 2*u - 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1422, 2845, 4268?\n\"Answer: 1423*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + 133?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 280, 1\/5, 4, 0.4, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z. Let h(n) = -16*n**2 + 19318*n. Calculate l(h(t)).\nAnswer: -32*t**2 + 38636*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 5*d - 3*d)*(-11 - 33 - 101 + 0 + 9 - 12 + (4 - 1 - 1)*(-1 + 3 + 0)).\nAnswer: -576*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36833*-74.\nAnswer: -2725642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 15*k = 19*k - 256, b + 70 = -5*k. Is b less than -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 + 21. Let b = r + 58. Suppose -2*c = 3*z - 14, c + 8 - b = -3*z. What is z rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -16*m. Let h(x) = 4 - 2 - 4*x - 2. What is h(b(g))?\nAnswer: 64*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3748, 3744, 3738, 3730, 3720?\nAnswer: 3708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(768)) + 4 + (-1 + ((sqrt(432) + 0)**2 - sqrt(432) - sqrt(432)) + 4)*-1.\nAnswer: -431 + 88*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -2)*(-4)\/8. Let t = 1861 + -1858. Factor -10\/3*h**2 + f - h**t - h.\nAnswer: -h*(h + 3)*(3*h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(396) + 4 + -5 + sqrt(396) + 0)**2.\nAnswer: 24*sqrt(11) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108240 by -30.\nAnswer: 3608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -15127?\nAnswer: 15127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -6, -427, 4 in increasing order.\nAnswer: -427, -32, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34554 and 424?\nAnswer: 7325448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 6. Which is the biggest value? (a) v (b) 5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/18*((-23)\/(-2) + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19211 is divided by 1746.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s + 75. Let l(x) = 3*x + 38. Let m(b) = 3*g(b) - 7*l(b). Let a be m(-15). Solve 2*w = 3*u - 7*u - 6, w + 9 = -a*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -239, -2, 712 in ascending order.\nAnswer: -239, -10, -2, 712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 3*h**2 + 2*h - 6. Let g be y(-4). Let r(n) = 7*n**3 - n**2 - 1. Let j(u) = -8*u**3 + u**2 + 2. Let p(m) = g*j(m) + 3*r(m). Determine p(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29503.\nAnswer: 163, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*v + 12 + 14, 3*m + 5*v = -31. Are m and -13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + a**2 - 2*a**2)*(3 + 0 - 1) + 664*a**2 + 668*a**2 - 223*a**2 + 8*a**2.\nAnswer: 1115*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q = -3*p - 24, -2*q = p + 23. Let v = 3 - q. What is the greatest common divisor of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -51*f + 29*f + 26*f + 2*f**3 - 18 wrt f?\nAnswer: 6*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + -1 + 0 + ((sqrt(175)*2)**2 - sqrt(175)))*-2.\nAnswer: -1406 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.26? (a) -0.3 (b) -1 (c) 3.2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*z - 165*z + 513627 = -59973. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -969.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/1710 and -17\/135.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 15. Suppose -3*d - 9 = -4*u, -2*d = -z*d + 20. Suppose b - u = -2*b. Solve 0 = -b*m - 5*c + 29, 0*c + 4*c = -2*m + 24 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 12*l**2. Let t = 7 - 2. Let o(c) = -2*c**3 + 13*c**2. Let r(g) = t*o(g) + 6*d(g). Find the third derivative of r(m) wrt m.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3\/4 - 5*o**2\/4 - 165*o\/4 - 315\/4.\nAnswer: 5*(o - 7)*(o + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 629?\nAnswer: -5\/629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**4 - 44*f**3 + 448*f**2 - 976*f + 576 = 0. Calculate f.\nAnswer: -18, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2613*t**3 - 11*t**2 - 6.\nAnswer: -15678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + 3)\/(-1) - -2. Suppose 3*u = -u. Suppose 6 = 5*s - u*k + b*k, 4*k = 8. Solve 5 + s = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-9)*(-45)\/(-2). Let q = x + -11. Let t be 15\/50*q\/3. Which is the second smallest value? (a) t (b) 14 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snvs when four letters picked without replacement from {s: 7, n: 2, v: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/3360 and 169\/6510?\nAnswer: 104160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-6) + (-761)\/6. Let u = 182 + p. List the prime factors of u.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2890010426.\nAnswer: 2, 1445005213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a + 2 - 3*a - 1. Let t be (5 + -1)\/(-4) + 0. Let k be r(t). Solve -l = k*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/45 + 554\/5. Let c be ((-6)\/(-5))\/(1353\/i - 12). Solve -m - 1 = -c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3330593?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6487 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11096*p**3*s + 3*p**3 - 69973*p**2*s - 2*s wrt p?\nAnswer: -66576*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*h + 6*h = 1, 4*h + 20 = 4*z. Suppose z*g = 8*g + s - 65, 4*g - 43 = s. Let f = -7 - -10. Calculate the remainder when g is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3183 to two decimal places.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -127\/5, 12, -2, 2\/21, -458?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 34*y = 36*y + 43474, -4*y = -3*h + 65218. List the prime factors of h.\nAnswer: 2, 5, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pia when three letters picked without replacement from ggpgitga.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -112223?\nAnswer: -112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + 4.9. Which is the third biggest value? (a) -1 (b) -2\/15 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1075*c**2*n + 2*c**2 - 50*c*n - c - 7609745*n + 1 wrt c.\nAnswer: 2150*c*n + 4*c - 50*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 4551 and 4550 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 + 15*s**2 - 5*s - 4. Let w be u(-5). What is the highest common divisor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y + 7. Give a(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 2 (c) -5 (d) 0.59 (e) -73\/24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7139301 is divided by 738.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 0)*(0 + -1). Let c(b) = b**2 - 6*b - 26. Let k be c(9). Suppose -15*t = -16*t + k. Sort 5, x, t in descending order.\nAnswer: 5, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2398 - 1618. Is 30 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 31 = f + 5*v, -f - 3*v - 13 = 0. Let k = f + 3. Find the third derivative of 0*z**k - 5*z**2 + 3*z**2 - z**5 wrt z.\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - 26) + 3 + (-15 - -55).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(5\/3))**(-8\/7) assuming w is positive.\nAnswer: w**(-40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(3 + -8) + (2 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y = -71*y + 495 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(66) - -4*(sqrt(66) + -2*sqrt(66)))\/((sqrt(72)\/sqrt(2))\/sqrt(6)) - -2*(sqrt(275) + 1*(sqrt(275) + 1))**2).\nAnswer: 37*sqrt(11) + 2202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o + 72 = 0. Let k be 10\/14 - (-2 + o\/(-21)). Solve 0 = -b + u + 1, 2*b + k = -b + 4*u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44838 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 - 4*x + 2. Let b be s(2). Let n = -381 - -4189\/11. What is the nearest to -1\/2 in n, -1, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 0, 2*w + 3*p + 28 = 2*p. Let u(h) = h - 18. Let k be u(5). Is k less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-1 + 6)) + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 322 and 94724?\nAnswer: 2178652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 174\/54 + 4\/(-18). Suppose 4*i = -5 - z. What is the least common multiple of (-1)\/2 - 29\/i and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - v + 17 = 0, -3*h = 4*v - v + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 24892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 7. Let u be 24\/(-10)*90\/36. What is o(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or 66826?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 222 + 34. Suppose -324 = -13*f - g. Calculate the highest common divisor of 40 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85087 - 2*y - 2*y**2 + 170702 - 85615 + 2*y.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (6 - (2 + 2 + -5))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104437 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128 - 30. What is the remainder when l is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22111012030 (base 4) to base 9\nAnswer: -5076424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 14 = -2*j, -2*r + 2*j = r + 16. Which is the closest to 0.1? (a) r (b) 4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21527 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*v - 5*p, 5*v - 39143 = -4*p - 39175 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/6 + q**3\/6 + 2*q**2\/3 - 2*q\/3.\nAnswer: -q*(q - 2)*(q - 1)*(q + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/6*(-165)\/5. Suppose 3*q = -4*s + 156, -4*s + 4*q + x + 46 = 0. What is the remainder when 180 is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/90 and 44\/16365213.\nAnswer: 163652130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/25*55\/(-99).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7720 is divided by 297?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2570.57 + -2584. Let o = d - -24.37. Let f = o + -11. Sort -3, f, -1\/4.\nAnswer: -3, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d**3 + 17*d. Suppose 14*z = 9*z + 30. Let w(x) = -2*x**3 + 6*x. Suppose -2*b - 22 = 12. Determine b*w(h) + z*q(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 864 divide 758411424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**5\/15 + 11*v**4\/12 + 11*v**3\/3 + 37*v**2\/6 + 14*v\/3 + 182. Factor a(h).\nAnswer: (h + 1)**2*(h + 2)*(h + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -5 (c) -673 (d) 5\/2 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*v - 19, -14 = -0*y - 4*y + v. What is the tens digit of (1 + 176)*1\/y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from {e: 1, c: 1, j: 1, b: 2, s: 2, a: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**4\/24 - f**3\/6 + 51*f**2. Let j(w) = 2*w**2 + w - 3. Let d be j(3). Let v = -13 + d. Determine x(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-57)\/(-6)*((4 - -1) + -3). Calculate the greatest common divisor of l and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 - (-3 + 1 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 - ((-11 - -11) + -5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 707612*n**3 + 5*n - 101738.\nAnswer: 4245672*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-18) + (-1 - -1) + 3\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35858 < 35854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 22. Let w be k(-22). Suppose w = o + 6*o - 70. Calculate the remainder when 39 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o. Let c(r) = r**2 - r - 3. Let m be c(4). Suppose -29 = 4*g - m, -5*a + 10 = 3*g. Let l(n) = a*n**2 - n**2 - 3*n**2. Calculate l(p(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 447\/7 - 2969\/42. Suppose 0 = 5*l + r - 130, -14 = 3*l + 2*r - 99. What is the common denominator of p and (84\/(-15))\/((-1)\/(l\/(-15)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -44. Let y(f) = -f**2 - 5*f + 14. Let g be y(k). Let t = -3 + 5. Solve -4*z + 3*n - 1 = -2*z, 5*z + t*n - 7 = g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 16*o**2 - 2 - 603*o**2 to s + y*o**2 + n*o and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/16 (b) 2\/13 (c) -1 (d) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 3*f**2 + f + 3. Let l be p(-3). Suppose l = -b + 5. Suppose -493 + 53 = -b*h. Calculate the highest common factor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 281, 263, 245?\n\"Answer: -18*k + 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -15602 - 16010. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3556*z + 2016*z + 13089*z)*(2*z**4 - 2*z**4 + z**4).\nAnswer: 18661*z**5 + 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(3)*2 + (sqrt(225) - sqrt(9) - sqrt(9))\/sqrt(3))*5*1.\nAnswer: -35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4195?\nAnswer: 5, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -1, 48, 4.\nAnswer: -1, 4, 24, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/40 + 9\/(315\/(-14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*u**3 + u**2 + 10 - 2*u**3 + 2*u + 17*u**3 - 2*u**3 to the form m*u + q + v*u**3 + s*u**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93843223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 156680*v - 156678*v - 2 = 0, -5*z + 32 = 7*v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(72) + sqrt(72)*2)**2 + 3 - (sqrt(200) + 1 - -3*sqrt(8)\/sqrt(4))**2) + -5.\nAnswer: 46*sqrt(2) + 311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7819325 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: Simplify u**(-5\/11)*u**(-22) assuming u is positive.\nAnswer: u**(-247\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*w - 265 = 0, -4*w + 962 = -5*r - 395. Let l = r - -482. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h. Let i(m) be the second derivative of m**3\/6 + m**2\/2 + m. Let s(c) = 15*c + 18. Let d(v) = -18*i(v) + s(v). What is d(k(a))?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/48)\/(65\/(-117))*(-114)\/9.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from {z: 1, s: 7, y: 5}.\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 970752 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - u - 3. Let d be m(-3). Is (-5 + d)*26\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2373 smaller than -1117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15323 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1459692162.\nAnswer: 2, 3, 1237, 65557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Let f(k) = -k**2 - 5 + 0 + 5*k + r*k. Let l be (8\/10)\/(1\/5). What is f(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -13 (b) 0.5 (c) -0.4 (d) 75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f - 2. Calculate i(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 12:43 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1179 - -1178.6. Sort i, 4, 0.07, 1.\nAnswer: i, 0.07, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 38 (b) -53 (c) -2 (d) 0.4 (e) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1, 0, -2, 18\/11 in decreasing order.\nAnswer: 18\/11, 0.3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -507\/1255 + 1\/251. Let k = -148.5 - -38. Let i = -111 - k. Put 5, i, r in ascending order.\nAnswer: i, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872711 is divided by 744.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 2*c - 61. Suppose 0 = -67*h + c*h + 162. Calculate the smallest common multiple of 27 and h.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqqo when four letters picked without replacement from {o: 10, l: 3, q: 2}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 238441995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 4. Let q = -52463 - -52464. Let p(b) = -4*b - 4. Let j(t) = -1. What is q*p(w) + v*j(w)?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/8798 and -41\/583.\nAnswer: 96778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2736.000001619 + -2736. Round d to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53\/2 + 263\/10. What is the third biggest value in -2\/9, u, 2\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 2. Suppose 0 = -s*j + 2*j + 48. Let d = 30 - j. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584726?\nAnswer: 2, 292363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -6*g - 20. Sort 0, -1, g in decreasing order.\nAnswer: 0, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -45 and 0.669429.\nAnswer: -44.330571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**4 - 27 - 2*t**2 + t**4 + 20 + 2*t to s*t**4 + x*t**3 + a + u*t + p*t**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(77)\/(sqrt(99)\/sqrt(81)) + (sqrt(7) - (2 + sqrt(252) - sqrt(252)))**2 + (sqrt(7) - (sqrt(847)*-3)**2).\nAnswer: -7612 - 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.65784ml to litres.\nAnswer: 0.02865784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l. Let g(r) = -55147*r. Give g(a(x)).\nAnswer: 110294*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 - -4 - -142 - (79 + 2)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 - -103825?\nAnswer: 103806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a factor of 2642842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 17*k**2. Let i(j) = -4*j**2 + 7*j - 7. Let c(s) = -3*s**2 + 5*s - 5. Let o(l) = -7*c(l) + 5*i(l). Give o(q(d)).\nAnswer: 289*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9210529?\nAnswer: 641, 14369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7078 (base 10) in base 11?\nAnswer: -5355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11514, -46281, -104280, -185511, -289974, -417669, -568596?\nAnswer: -742755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*d**3 - 5 + (5*d**2 + 2*d**3 - 5*d**2)*(-2 + 1 + 0))*(-9 + 0 + 0) + 3*d**3 + 2*d**3 + d**3.\nAnswer: 42*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/5)*b**2*b)\/(b\/(b\/b**(2\/3)))**25 assuming b is positive.\nAnswer: b**(-208\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*q = 4*l + 20, 0 = 4*l + 4*q - 16. Let u(p) be the second derivative of l + 2*p + 1\/12*p**4 + 0*p**3 + 1\/20*p**5 + 0*p**2. Factor u(m).\nAnswer: m**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 29, 63, 87, 77, 9?\n\"Answer: -4*c**3 + 19*c**2 + 5*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13064 is divided by 229.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -179 + 164 - (-23 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 250, 701, 1152, 1603?\n\"Answer: 451*p - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -1, 18, 61, 134?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -241, -244, -247, -250, -253, -256?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2417 + -38701\/16. Let c be 16270\/(-6)*(2 - 5). Let l = c + -48677\/6. Find the common denominator of l and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 14*s**2 + 15*s + 18. Let t be k(13). Let l be (4 + t)*(-124)\/(-8). Suppose -l = -n - 5*n. Does 41 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113344 - -1432?\nAnswer: 115220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 v when four letters picked without replacement from qwswsvsqsssqsvsqqs?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 2 - -2 - (-41 + 37).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102110032321 + 3?\nAnswer: 102110032330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (0 + -13) - -28.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + l**2 - 2*l + 145*l**2 + 451*l**2 - 136*l**2 - 5*l**2 + l**2 + 2*l**2 + (0*l - 2*l**2 + 0*l)*(1 - 1 - 2).\nAnswer: 463*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5327.\nAnswer: 7, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**4\/48 + g**3\/12 - g**2\/8 + g - 27. Let f(r) = 0. Calculate r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 390, 1493, 3348, 5967, 9362?\n\"Answer: 2*m**3 + 364*m**2 - 3*m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36698 - -36701. What is the closest to c in 39, -5, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(35)\/((sqrt(275)\/sqrt(11))\/sqrt(5)) + 2)*-2)**2 + -4.\nAnswer: 32*sqrt(7) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 127090051 and 127090051.\nAnswer: 127090051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k - 7*k + 8*k.\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9716.624 kilometers?\nAnswer: 9716624000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 3 = -5*r - 17, 4*z + 6 = 2*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -496*n - 1. Let p(v) = -70*v**2. Calculate p(f(t)).\nAnswer: -17221120*t**2 - 69440*t - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**5\/40 + y**4\/3 - 13*y**3\/12 + 3*y**2\/2 - 19*y. Factor x(s).\nAnswer: -(s - 6)*(s - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 2. Let v = -18 - -94. Let y = -70 + v. Solve 0*g = -t*g - y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 7*q + 2*q)*(4*q**2 - 13*q**2 - 3*q**2)*(-3*q - 5*q + q).\nAnswer: 504*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2657683 kilometers to millimeters.\nAnswer: 265768.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a00a (base 11) to base 14.\nAnswer: -a293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87.3 - 30827968.\nAnswer: -30827880.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ae7c - 226c?\nAnswer: -d1e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-250 - -4)\/((-114)\/24 - -4). Let r(y) = y**2 + y - 1. Let h be r(6). What is the highest common factor of h and m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -186 + 103. Let n = 188 + d. Calculate the highest common factor of 42 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002885 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -58.03262073 and -50642?\nAnswer: 50583.96737927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.02, -529, -1\/3, 5, 24, -2.6, -3\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.38838l to millilitres.\nAnswer: 81388.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 6:31 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 9 = 2*d. What is the tens digit of (-3)\/(9\/(-19))*d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*z = -39*z + 66614. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/4*(-12144)\/(-14168)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 640922203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 120*w + 21120. Calculate g(-176).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -987 - -1760. Let t = b + -714. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318582 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*w = -128, 4*o - w - 2*w - 120 = 0. Let u be ((-24)\/(-36))\/((-2)\/o). Let l be (-6)\/(-38)*6\/u. What is the second smallest value in l, 1\/6, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.27 - 0.97. Let k = 10.11 - 10. Let n = k - -3.89. What is the closest to -1 in n, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/3 (b) -5 (c) 2 (d) 2.298\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*p**2*s**2*z + 2*p**2 + 30*s**2*z**4 - 2392*s**2 wrt z.\nAnswer: 40*p**2*s**2 + 120*s**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 357.678 - 414.78. Let w = f - -57. Let l = w - -0.10199804. What is l rounded to 7 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1463.93 - -1458. Let n = 0.22 - d. Let k = n + -6. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 at most 4\/133465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 535042.4t?\nAnswer: 535042400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + i = 290, -5*b - i = i - 484. Suppose 0 = -7*n + 8*n - b. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1122002100011 (base 3) to base 8\nAnswer: 3236655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 28*c**2 - 144*c + 1746. Give q(31).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4*((-3270)\/8)\/3?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjiacqccji. What is prob of sequence qjj?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 170\/13, -2\/105, 1\/8?\nAnswer: 170\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 42*l**2 + 49*l - 666. What is the ten thousands digit of b(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from xir.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 227\/20 - 43\/4. Which is the smallest value? (a) i (b) -2 (c) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((63\/14)\/9)\/(5*4\/40).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 15 (b) 0.06 (c) 3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1958, -1933, -1904, -1877, -1858, -1853, -1868?\n\"Answer: -y**3 + 8*y**2 + 8*y - 1973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -555, -72, 5 in ascending order.\nAnswer: -555, -72, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 - -34 - (-22 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 174 - 697\/4. What is the nearest to 2 in k, 14, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 528 and 330?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -831150319\/7469 - -111280. Which is greater: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/(12\/(-32))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 11*j - 10. Let z be a(10). Which is greater: 3 or z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -17*i - 101. Let m(n) = -17*n - 101. Let g(c) = 3*a(c) - 4*m(c). Differentiate g(t) with respect to t.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5495 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c\/(c*c\/(c\/c**(-2))))*c**25 assuming c is positive.\nAnswer: c**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzw when four letters picked without replacement from zzzwwzzzww.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100101111101001101 + -1011?\nAnswer: 101100101111101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 391891.2 months to years.\nAnswer: 32657.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**2. Let h(w) be the second derivative of -1253*w**4\/12 + 71*w + 2. Calculate y(h(u)).\nAnswer: 6280036*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 260968255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.3, -0.01, -6 in increasing order.\nAnswer: -7, -6, -0.3, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/30 - 13\/(-35). Factor 6\/7*c - 2\/7*c**2 - j.\nAnswer: -2*(c - 2)*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -15*l + 3*l**2 - 4*l**2 + 6 - 21*l. What is the tens digit of w(-24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**2 - 73*q + 52. Let o be x(-25). Suppose o*t - 589 = 3537. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7472179 and 715?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*f - 49*f = -2*o + 17, -3*f - 20 = -5*o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 10*j**3 + 14*j + 14. Let k be 4*5 - (878 + -830). Let s(d) be the second derivative of d**5\/10 + d**3\/2 + 3*d**2\/2 - d. What is k*s(p) + 6*a(p)?\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 5*r + 7 = 0, 152458*r - 152456*r = 3*m - 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44560065 is divided by 185.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 3*g**4\/4 + 4*g - 443. Let t(i) = -2*i**3 - 3. Determine 4*t(b) + 3*z(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 71?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + t - 2*t + 11, 4*h + 3*t - 17 = 0. Suppose -w = h*d - 18, -6*w = -3*w - d - 82. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7330 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 6*n - 6. Let o(d) = 6*d + 18. Let j be o(-4). Calculate x(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33803 (base 14) to base 13.\nAnswer: 44bc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szs when three letters picked without replacement from zsjszjzmktmzmsjjkmjm.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72850 by 470.\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21, 19, 17?\n\"Answer: -2*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*p - 257*p + 464*p.\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 279.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1238*k - 760*k + 5033*k.\nAnswer: 5511*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*h - 148. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*l + 39, 224*o - 219*o - 4*l = 72. Solve -4*i = 4*t + o, 5*t + 4 - 5 = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/12)\/((-13)\/7220694*-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 + 1 = 0. Let i be (0\/44)\/(9*1). Suppose 0 = 5*x - 10*x - 4*s + 107, 2*x + b*s - 50 = i. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562790651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*c**3*p**3 - 470*c**3*p - 363*c**2*p**3 - 1048*c**2*p - 2*c*p - 19*p**2 + 3*p wrt p?\nAnswer: 36*c**3*p - 2178*c**2*p - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 greater than or equal to 17893\/86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 + -53?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -aa3a6 + 0?\nAnswer: -aa3a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8063 - -8067. Factor 2\/3*h**2 + 2\/3*h - c.\nAnswer: 2*(h - 2)*(h + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.3 (b) 5 (c) 12\/23 (d) 2 (e) -11 (f) 2.6 (g) 0.04\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4\/9 - 4*o**3\/9 + 8*o**2\/9 + 16*o\/9 = 0. Calculate o.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, x: 1, w: 11}. What is prob of picking 2 w?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 times -3.1728?\nAnswer: -961.3584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2803.612*2.\nAnswer: -5607.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) + sqrt(140) + sqrt(140)*-3*-2 - sqrt(140))\/sqrt(10))\/((sqrt(63) + sqrt(252)\/sqrt(4))\/sqrt(9) + sqrt(21)\/(1*sqrt(3))).\nAnswer: 7*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 424*u - 438*u + 1 in the form a + r*u and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1208*q + 1215*q = 14. Let d(w) be the first derivative of 9\/2*w**q + 0*w + w**3 - 49. Factor d(c).\nAnswer: 3*c*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359423 is divided by 2531.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4862476 and 21763.\nAnswer: 34037332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129111891.\nAnswer: 3, 43037297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4928142 and -4?\nAnswer: 4928146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h**(1\/4)*h)\/h*h)\/h)**(-6\/13)\/(h*h*h\/(h\/(h*h\/(h*h**(-6)*h*h*h))*h)*h*(h\/h**(1\/6))\/h) assuming h is positive.\nAnswer: h**(-250\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3091437494?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 12*y**2 + y + 1. Let r(q) = 2*q**2. Let f(c) = 2*i(c) - 11*r(c). Let g(v) = -3*v**2 - 5*v - 5. Let u(h) = 5*f(h) + 3*g(h). Give u(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 10*m**2 + 14*m + 29. Let c be j(-11). Let x be ((-6)\/c)\/(54\/(-20) - -3). Solve -8*i**3 + 0*i**4 - x*i**4 - 9*i**3 + 2*i**3 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51941958?\nAnswer: 2, 3, 23, 29, 12979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -0.055?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4))**(-50)\/(a*a**(2\/7)*a*a**(8\/7)*a*a))**(-9) assuming a is positive.\nAnswer: a**(-12258\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155 - 6*f + 82 + 73.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + -22. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8576369.\nAnswer: 1447, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 540 divided by -90.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (720\/1085)\/(-12)*(-7)\/84*-42\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*o - 23. Solve 2*b = w + 5, 0 = -b - o*w + 10 - 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 35 = 6*l + 28, 234*l - 1074 + 1095 = 231*l - 5*t for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 2 = 7157*y - 7160*y, 0 = -d + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0072785 rounded to five decimal places?\nAnswer: -0.00728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 3*j - 30 = 0, -j + 12724 - 12688 = -3*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2314 + 2348. Solve -23*b = -n*b - 55 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/(-15))\/(2\/20). Find the common denominator of (o\/(-110))\/((-3)\/(-70)) and (58\/8)\/(1\/((-32)\/(-28))).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28494 at most as big as 28494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (115\/(-35) - -3) + 72\/7. Suppose -5*a = -l + 85, 4*l = -3*a - a + 460. Suppose -y*n = -5*n - l. Solve -1 = 4*d - o - 2, 2*d + n = -4*o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - 6 - (-2 - 0). Let d be 23\/51 - b\/(-3). Let m = 1 + -1.5. Put d, m, -4\/3 in increasing order.\nAnswer: -4\/3, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 6 = 3*z, 4*g - 5418 = -5*z - 5408 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 3879.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*1*(sqrt(6912) + 1) + 0 + (sqrt(6912) - (sqrt(6912) + 0 + 1 + sqrt(6912)) - sqrt(6912)) + sqrt(6912))**2*-3.\nAnswer: 36000*sqrt(3) + 2592375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 2.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 196741*g**4 + 5*g**3 - 11000450*g**2 wrt g?\nAnswer: 4721784*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 - 71.00000016. Round p to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from jzuvjljjuvv?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 4*s - 71, -386*d - 31 = s - 388*d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 5:18 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 2*r - 6*r**2 + (5 - 5 + r)*(-5*r + r + 2*r) + 4*r**2 + 0*r + 4*r - 3*r as s*r**2 + u + j*r and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t + 2. Let f(k) = 13*k**2 + k**3 - 2*k**3 + 2*k**3 + 0*k + k + 15. Let c be f(-13). Determine p(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 6 = -y, -573 = -3*y + 5*q - 563 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u + 5*u - u. Let h(l) = -14*l + 10*l - 3*l**2 + 4*l. Calculate h(j(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*f)*(199107*f + 283 - 199107*f - 2*f**2) as k*f**3 + d + u*f + h*f**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 6 = 8. Sort -4, -2, c.\nAnswer: -4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4365*f**3 + 4428*f wrt f?\nAnswer: -26190*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5) - 17186\/(-65). Let y = -229 + z. What is the lowest common multiple of y and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 11 = 31. Let c(p) = -p**2 - 65*p - 515. Let r be c(-55). Sort k, r, 4 in increasing order.\nAnswer: k, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, m: 4}. What is prob of picking 2 u and 2 m?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -316 bigger than -316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -v + 32, 0 = -5*v - w + 9 + 151. Let g = -3413\/6 - -562. Calculate the common denominator of g and 1 - -1 - v\/28.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**27*m*m**(20\/11)\/m*m assuming m is positive.\nAnswer: m**(328\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 7 - 59*c - 86*c**2 - 2*c**4 - 2*c**3 - 12 - 56*c + 111*c to k*c**4 + b + l*c**3 + o*c + m*c**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-5)\/s*s)\/s*s)**(-17) assuming s is positive.\nAnswer: s**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83647\/70 - -1195. Let b(s) be the second derivative of -o*s**5 + 0*s**2 + 1\/147*s**7 - 1\/105*s**6 + 0 + 5\/42*s**4 + 2*s - 2\/21*s**3. Factor b(f).\nAnswer: 2*f*(f - 1)**3*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(6\/1)*222 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 1:56 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 4. Let d be (1008\/u)\/3 - 3. Suppose 55 + 5 = 4*r. Calculate the highest common divisor of r and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3162*b**3 - 3161*b**3 - 103*b - 53 + 0*b**2 + 0*b**2 as t*b**2 + x + s*b + c*b**3 and give s.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 265055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -170392, -170393, -170402, -170425, -170468, -170537, -170638, -170777?\n\"Answer: -v**3 + 2*v**2 - 170393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-15069)\/((-29)\/14 - 84\/(-147))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 27*d + 32. Let v be w(12). Suppose 3*h - 3*f + 7*f = 527, -v = -2*h + 2*f. List the prime factors of h.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 9*c + 2. Let r be s(-9). Suppose 5*j - 69 = -9. Solve n + r - 17 = 5*a, 4*a + n = -j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.2, -13, 0, 2\/49?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 23 - 483. Let k = 44 + -21. Calculate the greatest common divisor of r and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 8 + -7 + -2 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19708, -3\/5, -3, -6, 1\/4 in ascending order.\nAnswer: -6, -3, -3\/5, 1\/4, 19708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1540 (base 11) to base 6\nAnswer: 13100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*l - 7*l. Let b be l + 2 + 7 + -7. Suppose -b*g = 2*g - 2*n + 44, -n - 38 = 5*g. Are 0 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -a + 4. Let i be -10*a\/(-4)*-2. Suppose 17 - 7 = i*f. Solve -f*t = 2*y - 12, 6 = 4*y - 4*t - t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 38d957b?\nAnswer: -38d9576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124843 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*s + 3*s + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 4\/(-18) - (-114)\/27. Let x(i) be the first derivative of 0*i**3 - 1 + i**2 + 0*i + 0*i**j + 2\/5*i**5. What is the second derivative of x(h) wrt h?\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 304888 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 3 = 3*b, -4*g - 1 = -3*b + 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-nine fifths of a meter?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0.9. Let i = -0.5 + y. Which is the smallest value? (a) 6 (b) i (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 27 = 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**5 + r**5 - r**5 + r**3 - 2*r**5 - r**3 + (r**4 + 2*r**4 - r**4)*(2*r - r + r) + 72*r**5 + 11322*r**4 - 11322*r**4.\nAnswer: 77*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -66 < -67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1\/3, -7, 4, 7\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 35*g**2 + 27*g - 188. What is the thousands digit of y(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten ninths of a day?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 17*x - 22*x = 21, -5 = j + x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.80509883 rounded to two decimal places?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*b - 24*b**3 + 17*b)*(0 + 0 - 12*b).\nAnswer: 288*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2\/14*2 + 6040164\/340977\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-392)\/(-224) - (-81)\/(-60).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12209 and 59361.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 5*l**2 + l - 6. Let z be n(5). Let d be ((-16)\/(-64))\/(z - -3). Let o = -79.5 + 79. Which is the closest to 5? (a) d (b) 1\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.5 + -14. Which is the nearest to 1\/2? (a) y (b) -1\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41198677?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Put -15, 37, -5, 2, 13 in ascending order.\nAnswer: -15, -5, 2, 13, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18334 and 65096?\nAnswer: 5793544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 9*m**2 + 5*m + 6. What is a(9)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 62\/6 - (-28)\/42. Suppose -c + 4*s = -20, 36 = -c - 5*s + v. Let x be (2*1)\/((-2)\/(-3)). Put -2, c, x in increasing order.\nAnswer: -2, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 11*b**3\/3 - 86*b**2 - 137*b. What is the remainder when 76 is divided by o(9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 265782 and 26.\nAnswer: 3455166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y. Let i = -103 + 108. Suppose -i*r - 7 = -17. Let l(x) = -14 + 1 - r*x + 13. What is n(l(v))?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g = -29*g + 5, 0 = -5*a - 2*g + 25. Calculate the greatest common divisor of a and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -4 (b) 2\/135 (c) -1\/7 (d) 0.5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 9*l + 8. Let h be a(-9). Suppose 0 = b + 4*y, -10*y = b - h*y. Solve -3*j - j + 16 = b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -1461, -1098, -733, -366?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/33628 and 85\/298145848.\nAnswer: 298145848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2 of a litre in millilitres?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 492086.1nm?\nAnswer: 492.0861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 5:43 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (-2)\/(-3) - 1. Suppose -3*x - x - 24 = 0. Let m be 1 + 0 + 2\/x. Which is smaller: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5671, 5670, 5669, 5668?\nAnswer: 5667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 5:31 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, o: 1, m: 2}. Give prob of picking 1 r and 1 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 13, f: 6}. What is prob of sequence tftt?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 632 and 1144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, a: 3}. Give prob of sequence ab.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*v**2 + 64*v**2 + 48*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (3 - -2 - -2). Let t(l) = l**3 - 2*l**2 - 2*l + 6. What are the prime factors of t(r)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4152230326 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (-9 - (-37 + 22)) + (36 - 2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 = -0*o. Let l(g) = g**2 - 3*g - 1. Let f be l(4). Let u(a) = 2*a - 4*a + 1 + f*a. Let q(x) = -2*x. Calculate o*q(s) + 3*u(s).\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39 * 2534.72.\nAnswer: -98854.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 8*s + z, -s + 2*z - 3 = 0. Let r be ((-14)\/(-21))\/((-202)\/6). Is s equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67649 - 1066116499.\nAnswer: -1066184148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1715 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: Simplify z*z**(4\/17)*z*z**13 assuming z is positive.\nAnswer: z**(259\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1140175, -1140174, -1140173, -1140172, -1140171?\nAnswer: -1140170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.4 - 4.4. Let r = 0.93 - -0.07. Let c = -17 - -12. What is the nearest to r in 1, o, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 6. Let r be c(-7). Let o be (-2*(-4)\/(-4))\/r. Solve y + o*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3676384 divided by -1838192\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 143 (base 5) to base 9\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 565.5 and -983.\nAnswer: -417.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -686322 less than -686323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 348090042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 1561754636.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1280 - 756. Suppose u - d = -5*d - t, 2*d = 2*u + 1018. Let f = 865 + u. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -11*a**2 - 6*a - 16. Determine i(-4).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3321 divided by 1107\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6320663 (base 7) to base 12.\nAnswer: 3087a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21033032120 (base 4) to base 10\nAnswer: 2421656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6029680 a multiple of 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v + 1. Let p be g(-1). Let j be 4\/p*(-31 - -4). List the prime factors of (-22)\/(-99) - ((-2156)\/j)\/(-1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 716 - -284. Let d be ((-90960)\/(-1 + -1))\/((-12)\/i). Round d to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*((3 - 2 - 3)*(2*j + j - j) + 2 - 2 - j)*(-927*j + 384*j - 110*j).\nAnswer: 6530*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + q + 41, t - 2*t + 3*q = -11. What is the least common multiple of 4 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - x + 1. Let n(a) = -25*a - 35*a - 5 + 30 + 20*a + 15 + 60*a**2. Give -n(y) + 40*u(y).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8210251, 8210186, 8210123, 8210062?\nAnswer: 8210003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31 + -125?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*y = -826 + 5044. Suppose 2*f + f = 45. Calculate the remainder when y is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17072 and 4928.\nAnswer: 478016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.19 and 0.338.\nAnswer: 0.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 5*x = 22, -2*d - 6*x - 23 = -x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 2*z - 3*z**2 + z)*(-1 + 0 - 3 + (-2 - 2 + 3)*(3 + 1 - 6)).\nAnswer: 6*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -30 - (4 + -13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 19 - (-2 - -2)) + (6 - 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, -3, 0.057, -121, 4.\nAnswer: -121, -3, 0.057, 0.13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 500840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 57265039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 130 divided by -26\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7289)\/8 - (-15)\/120. Let a = 56 - z. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -847*m**2 - 21*m + 39 + 1707*m**2 - 862*m**2. What is f(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -51653, 5, -2 in decreasing order.\nAnswer: 5, 3, -2, -51653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0932 and 121?\nAnswer: 121.0932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 433, 865, 1265, 1615, 1897, 2093?\n\"Answer: -3*v**3 + 2*v**2 + 447*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 90 = 2*i - i, -180 = -2*i + 3*d. Let j = i - 78. Suppose 37 = 3*f - 5*v, 0*f + 4*f = 2*v + 26. What is the lowest common multiple of f and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 8:32 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 18*f - 1534. What is n(85)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 10*z**2 + 23*z + 66. List the prime factors of j(-12).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1198 divided by -548\nAnswer: -599\/274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -60, -294, -860, -1926, -3660?\n\"Answer: -28*n**3 + 2*n**2 - 44*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 3*t + 2. Suppose -2*w = 2*y - 238, -2*y - 4*w + 241 = -w. Let u = 111 - y. Determine z(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 517 - 205. Calculate the remainder when -1 - (-3)\/((-9)\/g) is divided by ((-6)\/4)\/(2\/(-12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1 + sqrt(19) + -3 + -3*-3*sqrt(19) - 5*((sqrt(19) + -2)*-6 + sqrt(19))) + -2).\nAnswer: -66 + 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.074604769+-3\nAnswer: -3.074604769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 7 + 9. Suppose 5*n + 4*t = -0*t + 53, -5*n + 77 = -v*t. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p**2 + 558*p - 3854. What is a(7)?\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 282\/(-21) - 533\/(-41). Which is the third smallest value? (a) 0.02261 (b) 0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.5 + -2.4. Let u = -3 + 4. Let k = u + q. Round k to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3\/7, -108, -6, 263?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Let x = 424 - 421. Solve s*v - 1 = x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127 divided by -1056201.\nAnswer: 127\/1056201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1172740285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(54)\/sqrt(2))\/sqrt(3))\/(sqrt(384)\/sqrt(8)))**2 - ((sqrt(3) + sqrt(768))*-3 + (sqrt(12) + 4)*-6).\nAnswer: 387\/16 + 63*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2185*i - 7765 - 44675 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -144303, -288814, -433325?\n\"Answer: -144511*c + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21610324 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261, -979, -1701, -2427, -3157, -3891, -4629?\nAnswer: -5371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -81751 * 0.954\nAnswer: -77990.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1311 - -31133422?\nAnswer: 31140233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -386 in 0.4, 4, -0.2, 1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 + 32. Let j = -63 + -27. Let z = o + j. Is z a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/544 and -75\/16?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*4064227.\nAnswer: 162569.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 231205 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, k: 4, l: 2, x: 1, c: 4, o: 2}. What is prob of sequence cxfl?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(9\/11))**(-32)*(u**(-35)*u)\/u**25 assuming u is positive.\nAnswer: u**(-937\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 21670 = 10530. What are the prime factors of c?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2035, 2031, 2027, 2023, 2019, 2015?\n\"Answer: -4*m + 2039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-175) - (-6)\/60.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**6 + 282*v**4 - 2*v**2 + 254 wrt v.\nAnswer: -240*v**3 + 6768*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 469 and 1139.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2 + 73*h + 98. What is g(-19)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -556*y**3 - 4*y**2 + 4*y**2 - 131*y**3.\nAnswer: -687*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3 + 9 = v, 3*d = -5*v + 14. Let t be v\/14*7\/4. Suppose -1\/2*q**3 - 1\/2 - q**4 + t*q + 3\/2*q**2 = 0. Calculate q.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 3*k - 5*v, -4*k - v - 86 = -3*v. Let d = k + 32. What is the greatest common factor of d and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5646 is divided by 1384?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 11:38 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-88))\/((-845)\/2028).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 184, 3, -0.1, 1 in decreasing order.\nAnswer: 184, 3, 1, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*sqrt(11)*6)**2 + (sqrt(11) + (sqrt(77) - sqrt(77)*-2)\/sqrt(7) + sqrt(11))*1.\nAnswer: 5*sqrt(11) + 398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*r + 3*j + 15, -r - 2*j = -3. Suppose 3*i + 32 = r*p + 2, 2*i = 3*p - 34. Let m = 23 + 14. Calculate the remainder when m is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 90, 0.3, -0.1, 3\/107?\nAnswer: 3\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k + 5*m = 511, 2*k - 5*m = -243. Suppose -39*z - 26*z - 13468 = -13*z. Let i = k - z. Calculate the remainder when i is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -12*v - 111. Let y be p(-11). Suppose 4*c + 4 = 32. What is the highest common factor of y and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 1084723 + 1084871 - 2169594.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -474 - -686. Suppose 3*s - 4*j = -j + 120, j = -5*s + y. What is the greatest common factor of 14 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*h - 8 = 0, m = -m - 4*h + 8. Suppose m*y - 3 = -y. Let r(p) = -p**3 + 5*p**2 - 3*p + 1. What is the units digit of r(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**3\/6 - 22*p. Let b be 2\/(-7) - (-1692)\/42. Let m = b - 35. What is x(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*u - 20. Suppose -s + 3*b = -0*b - 7, u*b = s - 3. Calculate the remainder when s is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9360 and 495.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*q - 68 = 0. Calculate the common denominator of ((-18)\/(-80))\/((-6)\/328) and 2 + -3 - q\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - u**2 - 5*u + 3. Calculate d(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 10) + (-1 - (-7 - -2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -776 + 778. Solve -3*t = 4*a - t - 6, l = 2*t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1100\/19 (b) 2 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10781 and -5823.\nAnswer: 4958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*b - 25 = -47*b. Let d be (-2)\/4*0 + 2. Solve d = -b*c - 18 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 - 4*c**2 + 2*c**2 + ((-4*c + 0*c + 3*c)*(9 + 3 - 14) + 2*c - 4*c + 5*c)*(8 + 4*c - 8).\nAnswer: 17*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 2*o + 41 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**3*s**2 + 8*q**3*s + 9412*q**3 - 2*q*s - 4039*s**2 + 5*s wrt q.\nAnswer: 12*q*s**2 + 48*q*s + 56472*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4383 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/3)*(f**(-1\/7)*f)\/f)\/(f**(-1))**(-2\/63))\/((f*f\/(f*f**(-2\/7)*f)*f*f)**15)**14 assuming f is positive.\nAnswer: f**(-30293\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 - -161. What is the least common multiple of 16 and p?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (4 - 3) + -2. Solve 2 = z*g - g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11, 62, 147, 266, 419, 606, 827?\n\"Answer: 17*h**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 14, -5, -1, 7, 4 in ascending order.\nAnswer: -5, -1, 3, 4, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -16 + 15 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a - 10. Let d(y) = -y - 7. Let r = 330 - 323. Give r*d(u) - 5*t(u).\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 7:05 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(3) - sqrt(540)*-1)\/((sqrt(5) + (sqrt(5) - sqrt(5)*2))*4 + sqrt(5)*-3*1).\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -87104 divided by -282?\nAnswer: 43552\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by (-300)\/(-15) - 15\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 389 - 81689\/210. Let q(j) be the third derivative of 1\/84*j**4 + 0*j**3 - k*j**5 - 3*j**2 + 0*j + 0. Factor q(c).\nAnswer: -2*c*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2761)\/(-251)*((6 - 17) + 10)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or -105?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 + 20 - 17 - 526*o**3.\nAnswer: -526*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*a + 134 + 26*a - 132)*(1 - 1 + 2*a).\nAnswer: 4*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 633 - 635. Which is the nearest to -2? (a) 6 (b) w (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4053 (base 7) in base 13?\nAnswer: -846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60183756 and 406647.\nAnswer: 60183756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 - 2*n**4 - n**4 + (2 - 2 + 4*n**2)*(0*n**2 + 6*n**2 - 4*n**2) + (-2 + 0 + 4)*(2*n - 2*n**4 - 2*n).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.35158329 to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -5) + -5 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142584 divided by 35.\nAnswer: -142584\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 5*c - 6, 2*o - 1 = c - 5. Let n be o*3*1\/(-2). Let q(l) = -6*l + 3. Let b(h) = -3*h + 2. Let t(v) = 5*b(v) - 3*q(v). Determine t(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4*u = -17, 49*u - 15 = -7*a + 47*u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 88. Let n(s) = -57*s**2. Give n(c(g)).\nAnswer: -57*g**2 + 10032*g - 441408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -p**2\/2 + p - 1. What are the prime factors of o(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 q when three letters picked without replacement from tqtg.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b. What is the third derivative of b*d**6 - 4*d + d**2 - 2*d**6 + 4*d wrt d?\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.1 (b) -13\/174 (c) 0.9 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**3 - 56*t**2 + 61*t + 18. Let y be s(-20). Calculate the highest common divisor of 3781 and y.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 10*k**4 + 5*k - 4. Let m = -10 + 19. Let s(f) = -20*f**4 - 10*f + 9. Let q(z) = m*u(z) + 4*s(z). Find the second derivative of q(n) wrt n.\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32334*a + 491561 - 355435 = 3143188 for a.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**4 + 56*u**3 + 1820*u**2 + 3168*u - 5040 = 0 for u.\nAnswer: -14, -3, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven eighths of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((35\/5)\/70)\/(-1)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-246)\/(-50) + 22\/275. Solve -3*u + 4*t + t + 12 = 0, g*u - 5*t - 20 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 1:50 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 62529978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lbad when four letters picked without replacement from dbbaaadahbabdbl.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*i - 110 = -133*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + 4*(sqrt(243) + (sqrt(243) + -1)*3) + -4.\nAnswer: -10 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**5 + 16*s**4 + 16*s**3 - 88*s**2 - 12*s + 72 = 0. What is s?\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 5. Let o(r) = -r**2 - 2*r + 9. Let g be o(0). Suppose 2*a - 5*a = -g. Let d be a\/(-3) + 1 - -4. Give k(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 6*y - 6. What is w(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2882256, 2882260, 2882264, 2882268, 2882272?\n\"Answer: 4*o + 2882252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -152 + 21 + (-104 - -122)?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 47794935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.9 + 6.9. Let a = 449\/3672 + -1\/216. Put 0.01, m, a in descending order.\nAnswer: m, a, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*g = -93*g + 560. Let d be g\/196 + 33\/7. Solve 2*u - 5*m + 5 = 0, 0*u = -d*u - 5*m - 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x. Let m(i) = -10*i**2 + 32*i**2 - 17*i**2 + 11 + 11*i. Let z(o) = -3*o**2 - 6*o - 6. Let r = 2 - 8. Let n(t) = r*m(t) - 11*z(t). What is h(n(y))?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - h + 17. What is the remainder when j(10) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10e4c9 - -c?\nAnswer: -10e4bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 270531029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/7620 and -52\/3?\nAnswer: 7620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8735 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -298 + 301. Suppose -r*l - 282 = -2*p, -301 = -2*p - 5*l - 51. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85244 - 57056. Round n to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 1)*15\/15. Suppose 0 = -v*g + 5*g - 1705. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32\/161 - -10139\/3220. Find the common denominator of (-43)\/(-25)*5\/4 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 18629724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 820 = -10*p + 670 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*sqrt(108) - sqrt(12))\/((sqrt(726) - sqrt(726)*2) + sqrt(6)).\nAnswer: -17*sqrt(2)\/10 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2101 (b) 3\/7 (c) -14.52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 + 784*l**2 + 3*l**3 - 784*l**2.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b87 - 6588?\nAnswer: -9220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -887, -1914, -3621, -6008, -9075?\nAnswer: -12822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7887, 7886, 7885?\nAnswer: 7884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/18 + (-16)\/12\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 - 16*x**2 - 11*x - 17. Let r be d(9). Suppose -2*b + r = 38. Solve -15 = b*i - 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, u: 6, s: 1}. Give prob of picking 1 q and 2 u.\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79648.24 kilograms to milligrams.\nAnswer: 79648240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -466, -941, -1426, -1927, -2450?\n\"Answer: -v**3 + v**2 - 471*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, 2\/3, 11, 39, -1, -9, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1804 rounded to one dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -7. Let r be ((-177)\/i)\/1 + -1. Let h be (-5)\/10 + (-38)\/r. What is the nearest to 2\/9 in 1\/4, -4, h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - (sqrt(85)*-1*-3 - sqrt(85))) + -4*2*sqrt(85))\/((sqrt(100)*-2)\/sqrt(5)) + -1.\nAnswer: -1 + 9*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45729132 to the nearest integer?\nAnswer: 6762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006342 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31, -5, 57, -97, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00928741 to 5 dps.\nAnswer: -0.00929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -204 + 368. Suppose -4*h + m = -0*h. What are the prime factors of h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/5 + 10857\/(-165) + 3 + 0\/(-3)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**4 + 2*g**4 - 4*g**4)*(-4*g + 5*g - 4*g) + 6*g**5 + 6*g**2 - 6*g**2.\nAnswer: 12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 7:34 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 4*y - 3*y)*(-3 + 0 + 5)*(14 + 10 + 16)*(1 - 5 - 1) to the form w + a*y and give a.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o - 7. Let k be w(-5). Suppose -4*d + 1316 = -2*j, 0 = 2*d + k*j + 2*j - 658. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.6, 5.4.\nAnswer: -3, 0.6, 5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77.24 + 76. Let j = -0.24 - x. Let g = 0.925 + -1.625. What is the biggest value in j, g, -2, 3\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 5:22 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**2 + 28*d - 5*d**2 - 4*d**2 + 7*d**2 to the form i*d + f + t*d**2 and give i.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**4 - 2*x**2 + 38*x**3 + 9*x**2 + 366*x + 26*x**3 - 365*x + 2*x**4 to the form k + y*x**2 + s*x**3 + c*x**4 + g*x and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/99 and 31\/4482?\nAnswer: 49302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z - 1. Let k be (-1)\/(-8) - (-3)\/((-96)\/(-28)). Suppose d + 2*u = k, 2*d + 10 = 6*d + 2*u. Let h(w) = w. Determine d*h(g) - 2*a(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**3 + d**2 - 3*d + 1. Let a be u(1). Suppose 8 = a*g - 4. Suppose p - 41 = -4*n, 2*n + p = g*n - 39. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3649942 - 1?\nAnswer: -3649943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - w + 1. Let m(h) = -h**2 + h + 1. Suppose -238*a - 341*a = 579. Calculate a*p(s) - 3*m(s).\nAnswer: s**2 - 2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n. Let o(f) = 7*f. Let s = 3 - 6. Let j(g) = 2*g. Let k(u) = s*o(u) + 8*j(u). Suppose -2*r - 9 = i - 0*i, -r = 5*i + 54. Determine i*y(d) + 2*k(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5\/4 - 396*t**4 - 196963*t**3\/4 - 1441620*t**2 + 3083375*t = 0. What is t?\nAnswer: -1451, -85, -50, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8105426389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*g + 13*g + 0*g**2 - g**2 - g**4 as a*g**3 + f*g + n*g**2 + c + h*g**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*k + 6, -1342*k + 27 = -1344*k + 5*t. Let f(n) be the third derivative of -n**5\/60 - 5*n**4\/12 - 13*n**3\/6 + 12*n**2. Give f(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31764 = -4*t + 38*r + 31206, -t + 5*r = -5*t + 87 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 221*r**4 + 8*r - 19.\nAnswer: 2652*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 8?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 347707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -145, 0.15, 31332?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -176 or -284?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (10 - 7) + 2 + -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-15)*-5 + 487. Suppose 4*w - w = r. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(176) + 1))**2 - (sqrt(110)\/((sqrt(80) + (sqrt(80)*-3 - sqrt(80)) - sqrt(80))\/sqrt(8)))**2.\nAnswer: 128*sqrt(11) + 45301\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*b + 7*b + 24, -2*b + n - 4 = 0. Let o = b - -7. Suppose -o*g = -g - 6. Solve -r = g*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -417 - -2?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 0.5 (b) -0.1 (c) 64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkqkkkkkkkkk. What is prob of picking 4 k?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19164647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42260.74964 + -42260. Let i = 0.70964048 - n. Let x = i - -0.04. Round x to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 3:15 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -3 in decreasing order.\nAnswer: 6, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 125283041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + (-4 + 1*sqrt(2880) + sqrt(2880) - sqrt(2880)) + 3 + sqrt(2880)*-2)**2.\nAnswer: -96*sqrt(5) + 2884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3159 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1208d60 (base 15) to base 11.\nAnswer: 7338612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -4, -8 in ascending order.\nAnswer: -8, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12892 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 + 39 = 7*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679 is divided by 211?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 206239096 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 184, 280, 374, 466, 556?\nAnswer: 644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 17701120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -71576? (a) 13 (b) -1\/4 (c) 1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**5\/60 - 5*i**4\/6 - 13*i**3 + i**2 + 63*i. What is t(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 21*o**2 - 33*o - 31. List the prime factors of u(-12).\nAnswer: 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4061677889?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5\/7 - 9*w**4\/7 + 2*w**3\/7 + 124*w**2\/7 - 312*w\/7 + 32.\nAnswer: (w - 7)*(w - 2)**3*(w + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2. Let c(a) = a - 1. Let k be (-18)\/12*5\/(45\/(-156)). Suppose -30 = 4*s - k. Let y(h) = s*f(h) + 2*c(h). Give y(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6660860 rounded to the nearest 100000?\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 3 + 1)*(2 + 2 - 2) + 1 + 0 + 0 + (2 + 3 - 6)*(-6 + 11 + 2))*(-9*a - 17*a - 6*a) in the form t + h*a and give h.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 77532050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5\/3 + 164*t**4\/3 + 814*t**3 - 37720*t**2\/3 + 105800*t\/3.\nAnswer: 2*t*(t - 5)**2*(t + 46)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 16 = 4*r, -4*o + 0*o + 3*r = -7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1\/5 + 2128\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18560 + 18556. Suppose 0 = -2*u + 20 - 0. Let c be 3\/u*5\/(-6). Sort c, r, -1 in descending order.\nAnswer: c, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 4*m - 5 + 12)*(2 - 2 - 3*m) + (0 - 3 + 2)*(4 - m - 4)*(m + 4*m + 2*m).\nAnswer: -5*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 2*t**4 + t**3 + 4*t + 3217 - 3216 + t**2 to b*t**2 + y*t**3 + k + a*t**4 + r*t and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.5, 0.1, 36, 3, -13, 47\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-5\/7)*i*i**(2\/15))\/(i**(-29))**(9\/4) assuming i is positive.\nAnswer: i**(28421\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1043702 divided by -2\nAnswer: 521851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/5 (b) 90 (c) 4 (d) -1.48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 70466 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 631285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 51*x**2 + 1943*x + 36. Determine q(-38).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2003 - 225 = 36*j - 1220 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(296\/240 + 4\/(-10)). Suppose 7*x = h*x + 3. Solve 2 = 5*f + x*s + 23, 0 = 3*f + 2*s + 13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, a: 3, m: 4, h: 5, w: 5}. Give prob of picking 1 k and 3 w.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1078566127*x**4 + 171859000*x**2 wrt x.\nAnswer: 25885587048*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -132, -1 in descending order.\nAnswer: 5, -1, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 0. Let o be 2\/21 - (-352)\/6006. Let n = -2 + 1.6. What is the fourth biggest value in k, n, o, 2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 a factor of 201118869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 13*b + 14. Let p be u(12). Let z(n) = n**2 + 10*n + 4. Let v be z(-10). Let m(d) = v - p*d - 5 + 19. Give m(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*((-5)\/(-3))\/((-1060)\/(-636))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4183b + -601?\nAnswer: -4213c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -8740, -0.2, -2\/7, 6\/17.\nAnswer: -8740, -2\/7, -0.2, 6\/17, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from krrrjhdzrhjh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1160 and 13\/2552?\nAnswer: 12760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -76*h**2. Let n(q) = 5*q**2 - 9*q + 3. Let z(b) = 9*b**2 - 15*b + 5. Let w(m) = 5*n(m) - 3*z(m). Determine s(w(l)).\nAnswer: -304*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -16. Let a(l) = -l**3 - 7*l**2 + 1. Let r be a(-7). Suppose i = 2*i - r. Calculate the highest common factor of i and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 12 + 42)*(0*b + 2*b - b) + (2 + 5 - 6)*(-2 - 2*b + 2) - b + 4*b - 4*b.\nAnswer: 50*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 3. Let f = 456 - 452. Which is the biggest value? (a) 2\/3 (b) n (c) f (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)\/((sqrt(80)*-2)\/sqrt(8) + sqrt(10)))\/(sqrt(96)\/(sqrt(8)*-2) - sqrt(48)\/sqrt(4)*-1).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 - 202. Let l = -13 - g. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((1632\/2240)\/51)\/((-6)\/(-42)). Find y, given that -1\/5*y + g*y**2 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3739.04 + -3.39853923\nAnswer: -3742.43853923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/287 and -4*5*(-943)\/3220.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yynnnyy. Give prob of sequence ynny.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15 - 327*f + 21 - 2 + 32 + 18 wrt f.\nAnswer: -327","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101769 - 101769.61043. Round y to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 13 - 25 = 0. Suppose 5*q - 1 = h. Suppose 23 = 3*k + q*t - 14, 4*t - 16 = 0. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/(5\/((-80)\/(-36)))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (4 - -17) - (-13 - -2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*g - 3005 = 0, -5*g = 331*y - 335*y + 2359. Solve y*z = 610*z - 14 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1057061508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5 - 0. Let v(h) = -3 - 7*h + 8*h + 4*h**2 + 4*h. Let b(m) = 7*m**2 + 9*m - 5. What is d*v(a) + 3*b(a)?\nAnswer: a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3, -1\/9, -16.9, -0.1 in increasing order.\nAnswer: -16.9, -1\/9, -0.1, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 575046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -7. Let m be (u\/1)\/(14\/(-28)). Sort 4, 1, 13, m in descending order.\nAnswer: 13, 4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 22. Let m be r(14). Solve 0 = 5*b - 7 - m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -10*g**7\/21 - g**4\/12 + 163*g**3\/6 + 60*g**2 + 1. What is the derivative of p(v) wrt v?\nAnswer: -400*v**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3489265 or 1\/4?\nAnswer: -3489265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -122, -4, -3, 0.\nAnswer: -122, -4, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 11:44 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, r: 9}. Give prob of sequence rrr.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19288.4616 and 4?\nAnswer: -77153.8464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -595 in -0.3, 2, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one sixteenth of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 1) + 1 + 0. Let r(f) = 2*f**2 + 22*f + 2. Let d be r(-11). What is the second derivative of q**d + 4*q**2 - h*q**2 + q wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -910, -858, -810, -766?\n\"Answer: -2*r**2 + 58*r - 966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**2 - 7298*f - 14592 = 0.\nAnswer: -7296, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 6*p + 7. Let z be j(6). Suppose 2*d + 32 = 3*d - 4*o, -d + 22 = o. Let v = d - z. Calculate the remainder when v is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 7*s**2 + 10*s + 1. Let z be g(-6). List the prime factors of -14 + 17 - 1*z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/18 - 5\/(-2). Suppose 4 = -q - q, i*g = -4*q - 8. Does g = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -9*a - 4 + 23*a + 27*a. Let n be w(-5). Let l = n + 342. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3480)\/3712*(-4)\/(-3)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**5\/20 + v**4\/12 + v**3\/6 + 6*v**2 + 2*v. Suppose -748*a + 4 - 4 = -600*a. What is j(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 64, 117, 188, 283?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 534.1 - 531.1. Which is the smallest value? (a) 1\/4 (b) -1 (c) 1 (d) -0.5 (e) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36760 is divided by 181?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3152 = -17*u + 15*u. Suppose -3*k - 4*f + 1175 = 0, -5*k + k - 3*f = -u. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143 (base 11) to base 13.\nAnswer: cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 278, 276, 272, 266, 258, 248?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*m + 6*m + 3*m + 40 + 11*m.\nAnswer: -m + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 9*j**2 - 7*j + 13. Let d be r(-8). Let u = 3 - 0. Let q = -1 + u. Solve 0*h - 4*h = -q*f - 20, d = h + 4*f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**8\/m))*((m\/(m\/(m**4*m)))\/m)\/m)**(4\/13)\/(((m\/m**1)\/m)**37\/(m**(-1))**(-45)) assuming m is positive.\nAnswer: m**(1110\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/(4\/4) - -112.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**4\/24 + 13*l**3\/6 - 2*l**2 + 5. Let p be k(10). Is 17\/7 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.7609956 to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/36*8\/(-12).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 4 - 29 + 28*v - 13*v**2 - 19*v + 23*v. Let x(p) = -7*p**2 - 35*p - 17. Let s be x(-4). Is i(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -23. Suppose k*s = 5*c - 3*s + 20, c - 3*s = -14. Let p be (1320\/(-9))\/(c\/(-6)). What is p rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-27)\/250) + (-344)\/(-323532)*209?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 + 27. Let u be (-56)\/z - (-2)\/10. Let a = -23 + 33. Solve h - 18 = 6*h + 2*l, -u*h = -4*l - a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**2 - 6*i + 12. Let w be a(1). Solve 15*r - w = 16*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26163 divided by -8721?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -3, 53, 562, -4 in descending order.\nAnswer: 562, 53, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -65, -86, -115, -152, -197?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10187 and 1952?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*i - 77 + 362 + 17*i in the form j + r*i and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 g when two letters picked without replacement from yggeay?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 6.7?\nAnswer: 2.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 20*k. Let f(o) = -7*o. Let g(c) = -3*d(c) - 10*f(c). Let q(v) = -996*v**2 + 496*v**2 + 504*v**2. Calculate q(g(i)).\nAnswer: 400*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4\/5 + 2*m**3 + 49*m**2\/5 - 26*m = 0.\nAnswer: -5, 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(3\/8)\/a*a*a)\/a**(-3))**45)**32 assuming a is positive.\nAnswer: a**6300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33581.84994 rounded to the nearest one thousand?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 2*o + 57 = 0, 97*k + 32*o - 963 = 100*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 231, -2\/5, 0.394, 1\/2, 1\/4 in decreasing order.\nAnswer: 231, 1\/2, 0.394, 1\/4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 27. Let g = n - 21. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 34\/(-136) + 37\/4. Solve 0 = -z + y - 5*y - 15, 0 = 2*z + y + c for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3116512 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 700 - 700 - x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -266239296 divided by 5546652\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 322 - 323. Let x be (-12)\/(-18)*(g - -7). Solve 7*a - 2*a + 40 = -5*w, -x*w - 20 = a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1476*r - 1623*r - 395*r = -181688 for r.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.06, 9, -0.1, 0.23 in decreasing order.\nAnswer: 9, 0.23, 0.06, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**4\/24 + r**3\/6 - 2*r**2. Calculate the least common multiple of l(2) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44915974667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 211 and 6330?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 21*g**2 - 25*g + 10. Let p be i(-11). Let y = p + -918. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1606 greater than -230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1571 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -3\/204197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w - 64 = -0*w. Solve 25*j - w = 29*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, -1, -208?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*4\/(-88)*((-24)\/(-9) - 4). Let s = -0.4 + 0.4. Which is the second smallest value? (a) 1 (b) -5 (c) s (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-106)\/159*(32\/29 - 1).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 13*y**3 + 14*y + 5. Let a(v) = 38*v**3 + 42*v + 14. Let c(l) = -5*a(l) + 14*z(l). Find the second derivative of c(j) wrt j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 1 in ascending order.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, r: 9, n: 2}. Give prob of sequence xrnr.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iu when two letters picked without replacement from {u: 3, o: 1, i: 4, s: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*t - 3*h + 16582 = 61*t, 2*h = 5*t - 16562. List the prime factors of t.\nAnswer: 2, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 11*p - 5. Let r be o(-11). Let m = 7 - r. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 * -0.07.\nAnswer: 0.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*r**3 - 1490*r**2 + 166*r + 451?\nAnswer: 204*r - 2980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101*t**2 - 497*t + 497*t)*(-2*t + t + 3*t).\nAnswer: 202*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -0.8. Let w = 2.5 + x. Which is the smallest value? (a) 3\/5 (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*(17\/(-16184)*-17)\/((-1)\/6)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) 0 (c) 0.1 (d) 108\/137 (e) 0.3 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - o - 34*o**2 + 2 - 93*o**2.\nAnswer: -127*o**2 - o - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**4 - 34605*z**3 - 103854*z**2 + 138456*z = 0.\nAnswer: -4, 0, 1, 11538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 203 - 93. Is b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282602266 to the power of 1\/3, to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*k + 842262 + 698172. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -1509, -4 in ascending order.\nAnswer: -1509, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7260 by -1210.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 5. Let x be f(8). Suppose -x*s + 2*s = -28. Let v be -2 - s\/(-8) - 0. Are v and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/6 + (-9)\/54)*56. Let b be (7\/(z\/(-250)))\/((-2)\/(-163200)). Round b to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 - 6.19?\nAnswer: -6.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 85*n - 193. Let f(t) = -82*t + 192. Let d = -484 + 481. Let o(s) = d*f(s) - 2*c(s). Differentiate o(j) wrt j.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -228 - 26\/5*l**2 - 2*l**4 + 6\/5*l + 86\/15*l**3. Factor a(s).\nAnswer: -2*(s - 1)**2*(20*s - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-5) - 13416\/(-120). Suppose -383 = -2*a + 3*b, 0 = a - b + u - 302. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(768) + sqrt(768) - sqrt(768))**2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2 + h**3 + 2 - 6*h. Let r(x) = -2*x + 5 - 5 + x. Suppose 0 = -0*s + 3*s + 18. What is s*r(w) + l(w)?\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*u + 112, 11*x + 254 = 13*x + u. Calculate the remainder when 3092 is divided by x.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*n + 16. Put 3, n, -5 in increasing order.\nAnswer: -5, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 17.4?\nAnswer: -52.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -7*z**6\/120 - 3*z**4\/8 - z**2\/2 + 4. Let m(k) be the second derivative of h(k). Find the second derivative of m(x) wrt x.\nAnswer: -42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 3:58 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 + -118 - (1 - 3 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + -8. Let j = -11.5 - h. Let u = 1 - 1. What is the third biggest value in u, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/(-552))\/(46\/414)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015722 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311645.\nAnswer: 5, 157, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*q - m - 7, -4*q = -4*m - 20. Let u be 29\/(1 + (q - 2)). Suppose 3*k - 4*i = -u, 2*k + i = -3*i + 14. Which is smaller: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11344, 11345, 11350, 11359?\nAnswer: 11372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1, -166 in ascending order.\nAnswer: -166, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*9\/(1134\/36)*(-32)\/2?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-39)*1)\/(46\/92).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 8*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -149 less than or equal to -150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 149. Let s(p) = 4*p + 58. What is q(s(a))?\nAnswer: 32*a**2 + 928*a + 6877","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264 + 1.03.\nAnswer: -262.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*t = -222, 0*v + 2*v - 472 = -t. What are the prime factors of v?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6\/5, 5, -17, -0.1, 0.3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2032808, -4065619, -6098428, -8131235?\nAnswer: -10164040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (-7)\/(-4) - 4374\/(-24) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -168*a - 29. Let x(w) = -w + 4. Determine 3*f(j) + 21*x(j).\nAnswer: -525*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0368235 - -41059055.\nAnswer: 41059055.0368235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (24\/2 - 1)\/((-14)\/(-742)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/33*(-6)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, w: 1, r: 12}. Give prob of picking 2 v, 1 r, and 1 w.\nAnswer: 84\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -10*i**3 + 7*i**2 - 6*i + 6. Let z(s) = -s**2 - 3*s - 1 + s**3 + 4*s + 0*s**3. Let g(x) = o(x) + 6*z(x). What is the units digit of g(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 223 or 225?\nAnswer: 225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by -65302?\nAnswer: -27\/32651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*n - 59 = 0, -4*u + 0*u - 4*n = -204. List the prime factors of u.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 - 68.61. Let t = m - -0.91. What is the nearest to 0 in 1, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b**0\/b)\/b))**(2\/41))**(-46) assuming b is positive.\nAnswer: b**(-184\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(-4 + 58\/12). Let q be (48\/30)\/(a\/(-15)). Put q, 4, -5 in ascending order.\nAnswer: -5, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3236621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 3:34 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 8. Let p(r) = r + 999999*r**3 - 2 + 1 - r**2 + t. Let u be p(-1). Round u to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313*t - 2600698 + 2600698.\nAnswer: -313*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 31 = 4*i + 2, 2*d - 5*i = -7. Suppose -6 = -5*p + d. Suppose 4*h - 5*v - 103 = 0, p*h + 15 = -2*v + 121. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/5)\/o*o*(o*o**(-4\/7))\/o)**(-1\/16) assuming o is positive.\nAnswer: o**(27\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 4*p**2 + 1\/2*p**4 - 2\/3*p**3 - 24*p + 0. Let o be j(2). Calculate the highest common factor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**4\/12 + 2*r**3\/3 - r**2. Let m be k(3). Let z be (0 - m)*2\/(-4). Which is greater: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.313727 rounded to 3 dps?\nAnswer: 0.314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 9:21 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 3:12 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.9 + -6.9. Which is the third biggest value? (a) -0.4 (b) -1 (c) j (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**3 - 6*p - 55*p**3 + 6*p.\nAnswer: -55*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1544*z = -937*z - 5463 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -436. Let p = d - 365. What are the prime factors of p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.23*-45.4.\nAnswer: 10.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d - d + 3997*d**4 - 4175*d**4 - 4 + 4 - 4*d**3 in the form h*d + o*d**4 + w + m*d**3 + q*d**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -4*h - 2*g, -2 = 3*h - 2*g. What is the hundreds digit of (-12)\/30 - (h + 2676\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 6841502, -4 in ascending order.\nAnswer: -4, -3\/2, 6841502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -185 - -267. Let q = p - 414\/5. Let z = -3 + 4. Sort z, 1\/8, q in descending order.\nAnswer: z, 1\/8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.3 + -0.3. Suppose -u = -5*u + 16. Suppose -2*s + 2*j + 16 = -u*s, 0 = -2*j - 8. Which is the nearest to -0.2? (a) i (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 357?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -19*d**3 + 2*d**2 + 13*d - 8. Let z(m) = 9*m**3 - m**2 - 6*m + 4. Let q be ((-4)\/6)\/(-4 - (-462)\/117). Give q*z(r) + 6*g(r).\nAnswer: 3*r**3 - r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - y + 949, 5*r - 5*y = -0*y + 2335. Let t = 427 - r. Which is greater: -314\/7 or t?\nAnswer: -314\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -87449932 bigger than -87449933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, r: 2, c: 2, l: 1}. What is prob of sequence lvc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (3 + sqrt(7) + -3) - sqrt(28)*-4)**2 - (sqrt(1008) + 2*(-5*sqrt(1008))**2 + sqrt(1008) + 1).\nAnswer: -49953 - 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 5*y**2 - 3*y - 4. Let w be v(-6). Let j be (-62)\/w + (-10)\/(-55). Let x(b) = 20*b + 3. Is x(j) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 31 = 19*f - 135 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 29. Let z(g) = -5 + 1 + 7 - x. Let l(i) be the second derivative of -i**3\/2 - 5*i**2\/2 + i. What is l(n) - 5*z(n)?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200117 (base 12) to base 8.\nAnswer: -1714243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptp when three letters picked without replacement from tvpttptttttttvt?\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 363892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 - 24574078954.5\nAnswer: -24574078954.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = 266 + 100. Let z = 86 + x. Suppose 2*a - 4*c = -0*c + 10, 5*c = -5*a + z. Let y(u) = -u + 4. What is y(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7ee18e (base 16) in base 10?\nAnswer: 8315278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192489573.\nAnswer: 3, 293, 218987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156 - 21430550*f**3 - 156 + 12*f**2 - 12*f**2 + 21430562*f**3.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (10391\/(-2))\/(10\/(-20)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**4\/11 + 680*a**3\/11 - 59706*a**2\/11 + 307948*a\/11 + 2231120\/11 = 0?\nAnswer: -4, 10, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/6*2*(-30)\/(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9546344*p*v**3*y + 5*p*v**2*y - 2*p*y - 12*v**3*y + 7182*v**2*y + 131*v**2 wrt v?\nAnswer: 57278064*p*y - 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/716 and 97\/3724.\nAnswer: 666596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124326738 to the nearest integer?\nAnswer: 11150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 4, 12, 0 in decreasing order.\nAnswer: 18, 12, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.097052 (b) 0.5 (c) -3 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 + 15*r + 1 + 7*r.\nAnswer: 22*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**3\/6 + j**2 + 67*j - 167. Let r(l) be the first derivative of q(l). Give r(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 9:55 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + 1*(sqrt(931) + 0) + (sqrt(931) + 1 - sqrt(931))*-3 - (-3*sqrt(931)*2 - (sqrt(931) - (1 + 2*sqrt(931)) - sqrt(931))))**2.\nAnswer: -336*sqrt(19) + 33532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) 91 (b) 0.1 (c) -2\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/5))**(1\/4)\/(r\/(r\/(r**(-3)\/r))*r\/(r\/(r\/((r**(-5\/6)\/r)\/r)*r))))\/(r\/((r**3\/r)\/r)*r\/r**(3\/10)*r**(-8)\/r*r**8) assuming r is positive.\nAnswer: r**(-13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -122*o + 9. Let u(n) = -182*n + 12. Calculate -5*u(f) + 7*w(f).\nAnswer: 56*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + d - 6*d + 30 - 12.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/((-57)\/(-19))*(-3)\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12d9b2 - -4?\nAnswer: 12d9b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccwhkikfcifikfi. What is prob of sequence ckcc?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1048*n**3 + 2*n**2 + 4*n + 19. Is p(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2399 - 14?\nAnswer: -2402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5922 and 711018?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(2\/3)\/(u**(1\/8))**44 assuming u is positive.\nAnswer: u**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -30158 at most -30065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 225\/(-50)*(-16)\/(-60)*1.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + -9 + (-27)\/(-6) + -3. What is the fourth biggest value in k, 15, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -342 divided by 4\nAnswer: -171\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l + 283. Let g(i) = -5*i + 568. Let v(s) = -3*g(s) + 7*n(s). Let t be v(21). Suppose -3 - 3 = -3*c. Solve -c*w + w = t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9589050 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**2\/7 - 2*n\/7 + 12\/7 = 0?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -348, -385, -446, -531?\nAnswer: -640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 10. Suppose 4*x - a - 3*a - 12 = 0, -x = 3*a - 7. Suppose x*t + 0 = 4. Solve -4*i = -p*i + t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i + 4. Let o be w(-2). Suppose -6*j = -o*j + 12. Factor -6 - j*n - 3\/2*n**2.\nAnswer: -3*(n + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13320 (base 4) to base 13.\nAnswer: 2ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 133408505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*1\/(-1))\/8*4368\/22932?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 10:59 AM?\nAnswer: 440","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -2\/315*k**7 + 0*k**6 - 1\/504*k**8 + k**2 + 1\/36*k**4 + 0*k + 1\/45*k**5 + 0*k**3 + 0. Factor f(d).\nAnswer: -2*d*(d - 1)*(d + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -1050*w + 5253. Let t be x(5). Let d be (-1 - -2)*12\/2. Let z(k) = -t*k**2 + 2*k**2 + 8 + 3*k - k**3 - 2 + d*k**2. Determine z(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4415 is divided by 94?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -1\/10 (c) -1\/34 (d) -0.4 (e) 5 (f) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/5 (b) -8 (c) 0.007 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 131 - 23. Suppose -3 = l, -i - 3*i - 2*l = -1614. Suppose -2*z = -5*z + i. What is the highest common divisor of z and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98274323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192113?\nAnswer: 192113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 932259266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + (sqrt(17) + -1)**2)*3 + (-1*sqrt(68) - sqrt(68) - (sqrt(17) + sqrt(612)*5)).\nAnswer: -41*sqrt(17) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65*g**6 - 103*g**4 - 14771*g**2 wrt g?\nAnswer: -7800*g**3 - 2472*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05875 rounded to 3 decimal places?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1856542*q**4 + 18*q**3 - 1514604*q**2 + q + 23?\nAnswer: -44557008*q + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.4844467 rounded to one decimal place?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*-5*848\/(-636)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -z - 41 + 106, 2*n + 74 = -13*z + 55 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 171 = 15*w. Let g = w - -61. Solve 4*f = 3*u - 7 - 0, f = g*u - 18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2604 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59232 is divided by 123?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(75) + 1*sqrt(75) - sqrt(75)) + -1 + sqrt(75) + 3*(sqrt(75) + 0))**2 - ((sqrt(75) + 5 + (sqrt(75) + 0 - sqrt(75)))*3)**2)*2*3.\nAnswer: -3000*sqrt(3) + 5860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 5*h - h**2)*(4*h - 6*h - 5*h) - 4*h**3 - 7*h**2 + 7*h**2.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-45))\/(49\/(-35)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccfckckccfcfckcfakf. Give prob of sequence faf.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 3*w - w)*(-3*w + 0*w - 3*w)*(-4 - 2 - 11) to the form o + c*w**2 + i*w and give c.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 b when three letters picked without replacement from {b: 2, m: 7, j: 1, i: 2}.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from hzqhzlhhwznzwlhzh?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*m = -g + 20, -5*g - 4*m = -33. Let d = 8 - 27. Let q = -17 - d. What is the second smallest value in g, -2\/13, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 + 94. Let b = y - 30. Solve -5*u + 5*n - 5 = 0, -2*u + b*n - 4*n = 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**3 - 7814*i**2 - 7636230*i - 7628418 = 0.\nAnswer: -1953, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(18\/21) - (-26)\/39.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4714, 4728, 4742, 4756, 4770?\n\"Answer: 14*l + 4700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -83775202661 minus -8?\nAnswer: -83775202653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from ufpphjpptppujftpfpuu?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -17, 5, 807, 4, -4 in increasing order.\nAnswer: -28, -17, -4, 4, 5, 807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 104934913*u**6 + 2264*u**2 - 8324.\nAnswer: 12592189560*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35.4 + -58. What is the second smallest value in m, -5, 0.1, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141296 to the power of 1\/2, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/1080 - 16561\/1080. What is the common denominator of -104*3*(-3)\/(-54) and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 70961 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 858684 divided by 214671?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 119017169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 2, 13, 28, 47, 70?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*t + 73*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552587 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23534 is divided by 724?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33 and -2.4.\nAnswer: 79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + r. Suppose 0 = -3*w - 4*c + 8, -21*w + 2 = -22*w + c. Determine a(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.109753 - -0.1102. Round i to five dps.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 259, 377, 587, 901, 1331, 1889, 2587, 3437?\n\"Answer: 2*o**3 + 34*o**2 + 2*o + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1614 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 8*z - 5. Let m(w) = 2*w**2 + 9*w + 6. Give -5*a(r) - 4*m(r).\nAnswer: -3*r**2 + 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 37 - 409*g**2 + 82.\nAnswer: -409*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 - 32. Let b be (-3 + 17 - 3) + 0 + 0. Let l = o - b. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 431417*f**4 - 620*f - 202695501?\nAnswer: 1725668*f**3 - 620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + a + 1. Let j(n) = 50*n**2 - 55*n - 55. Determine 220*h(c) + 4*j(c).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 10*x**3 + 0*x + 31\/4*x**4 + 0*x**2 + 30. Find the third derivative of s(b) wrt b.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 157*c**2 + 2*c - 2. Let y be j(-1). Let l = -63 + y. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - 4*i**2 - 4*i**2 + (-3*i + 2*i - i)*(-3*i - 3*i + 4*i) + 1 + i**2 - 1 + (2*i**2 + 2*i**2 - 3*i**2)*(-4 + 6 + 8) - 2*i**2 - i**2 + 4*i**2.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 391593 (base 10) to base 8\nAnswer: 1374651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**3*v**2 - 49*d**3 + 188*d**2*v**2 - 446*d**2*v - 97*d*v**2 wrt v.\nAnswer: 2*d**3 + 376*d**2 - 194*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(8\/5)*q**(2\/7)*(q**3)**(-39) assuming q is positive.\nAnswer: q**(-4029\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 2*p - 5*l - 1630, 2*p - 4*l - 646 = 0. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.219 + -8.579. Let g = y + 8. Let c = g - -0.3. What is c rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a day?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53722.9 times -5?\nAnswer: -268614.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 30 = -g. Suppose 9 = g*k - 3. Put -2, 4, -5, k in decreasing order.\nAnswer: 4, k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 24*g = -98. Suppose -15 = 17*y - g. Factor 2\/5 + 4\/5*c**3 - 2\/5*c**5 + 2\/5*c**4 - 2\/5*c - 4\/5*c**y.\nAnswer: -2*(c - 1)**3*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 60, 70, 86, 108, 136?\n\"Answer: 3*v**2 + v + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 604736 = -16*v - 28*v. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-t + 1 - 1)*(1 + 3 - 3) - 3 - t + 3 - 17*t - 3*t - 5*t)*((-t + 2*t + t)*(-2 + 1 - 1) + (-2 + 2 + 2)*(t + 0 + 0) + t + 3 - 3).\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 25*l**7\/7 - 7*l**3\/3 + 19. What is the third derivative of w(x) wrt x?\nAnswer: 3000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -99, -95, -89, -81?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 353*y**4 + 3*y**3 - 5475 wrt y?\nAnswer: 1412*y**3 + 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 553 - 388. What are the prime factors of k?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7054*h**3\/21 + 14380*h**2\/21 - 7598*h\/21 + 272\/21 = 0. Calculate h.\nAnswer: 136\/3527, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-15270)\/(-105) + (-12)\/28 and 12?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 10*k + 13. Let n(z) = -3*z - 4. Let q be 2\/((-12)\/(-7) + -2). Let a(f) = -34*f - 138. Let y be a(-4). Give q*n(t) + y*d(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -249, -493, -817, -1221, -1705?\nAnswer: -2269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/31, -152\/7, 1, -330 in increasing order.\nAnswer: -330, -152\/7, 12\/31, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1043458.236 - -444634888.764. Let b = k + -445678361.99999924. Let u = b + 15. What is u rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 7*m - 15573805. Let t = m - 2174761. What is t rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9685678 to the power of 1\/2, to the nearest integer?\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76803*c**3*i - 124*c**3*z + 54826*c**2*i - c**2*z - 2*c*i*z + 6*i*z - 5*z wrt c.\nAnswer: -460818*i - 744*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*i - 597579 + 599559 = 0 for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001858 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + 2*c**2 + c - 2*c**2 + 3*c**2 - 6*c**2 + (3*c - 2*c**2 - 3*c)*(2 - 1 - 4).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2187332?\nAnswer: 2, 7, 191, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1\/(q*q*q**(1\/2))*(q**(-1))**(2\/3))\/((q\/q**5)\/(q*q\/q**(1\/9)*q*q*q))**31 assuming q is positive.\nAnswer: q**(4921\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-12)\/20)*4\/(-5). Differentiate -178*b**z + 35 - b**3 - 101 + b**3 - 121 wrt b.\nAnswer: -712*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-8)*22\/33. Which is the nearest to j? (a) 5 (b) 0.5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from ggkxgxxgtkx?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**4 - 29783*g**3\/4 - 52103*g**2\/4 + 18613*g\/2 + 11166 = 0.\nAnswer: -7444, -2, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/4)*c*c*c*c**27*c*c*c*c**(6\/17)*c*c*c*c*c*c**(-3\/8)\/c assuming c is positive.\nAnswer: c**(4927\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**5\/20 - 7*g**4\/6 - g**3\/2 + 13*g**2\/2 - 8*g. Is f(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/2)\/(1\/(1 - 3)). Suppose -5*u - 5*t = 0, 0*t = u - o*t - 9. Solve -2*j = -u - 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 173*t**2 + 2415 - 852 + 1909 - 171*t**2 - 1740*t = 0. What is t?\nAnswer: 2, 868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 x when two letters picked without replacement from gggwwggwuggsgwgbgxg?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*q = -2*o + 9, -o - 5 = -3*q. Let f(u) = o*u - 4*u + 12*u + 4*u. Let n(h) = -2*h. Calculate f(n(a)).\nAnswer: -38*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 263503\/11 + -23955. Sort -3, -0.2, 5, 17, q in descending order.\nAnswer: 17, 5, q, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.029998473 plus -326?\nAnswer: -298.970001527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 181456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -23. Let g(n) = n**2 - n. Suppose -2*u - 17 = -2*k - 7*u, k - 10 = -4*u. Let s be g(k). Calculate the highest common factor of i and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13067471.\nAnswer: 137, 95383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/306 and 151\/126?\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10070059799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -327, -701, -1075, -1449, -1823?\n\"Answer: -374*u + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(3\/6 - 0). Let c be ((-20)\/30)\/(f\/(-18)). Let t = -2 + c. Solve t*s = a + 6 - 25, 2*a + 7 = -s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awyo when four letters picked without replacement from wofwwywaowffaf?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k. Let y(s) = -s**3 + s**2 - 3*s. Let p be ((-51)\/(-102))\/(1\/(-2)). What is p*y(q) - 3*w(q)?\nAnswer: q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/1228 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 21. Suppose y = 11*q - 12*q - 2. Is (q + (-3)\/(-2))\/(3\/(-1578)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*(f**(1\/9)\/f)\/f*f*f)*f*f*f\/f**(2\/25))\/(f**(-2\/45)*f*(f**(2\/13)\/f)\/f) assuming f is positive.\nAnswer: f**(4582\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**1)\/p*p)**(-25)\/((p*p**(1\/13))\/(p\/(p\/((p**3\/p)\/p*p*p))*p))*p**(2\/17)\/p**(-1\/4)*p\/(p**(2\/9)\/p)*p*(p**(-1\/4)*p)\/p assuming p is positive.\nAnswer: p**(11573\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 0 - 7\/2*k**2 - 1\/6*k**3 - 13*k. Determine d(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -10*j. Let m(t) = -104*t. Determine m(v(r)).\nAnswer: 1040*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1620\/1188*22\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2.59636 * -0.3\nAnswer: -0.778908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -115, 36, 3\/8, -11, -5\/4, 5 in ascending order.\nAnswer: -115, -11, -5\/4, 3\/8, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46079, -45464, -44849, -44234, -43619?\nAnswer: -43004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2659 + -1714. Let z = d + -933. What is the smallest common multiple of z and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133 divided by 1404\nAnswer: 133\/1404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 10*l**2 + 12*l + 23. Give s(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**4 - 4700*a**3 - 536064*a**2 = 0. Calculate a.\nAnswer: -1047, -128, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n - 5. Let y(x) = 3*x - 1. Let i(t) = -y(t) - z(t). Calculate i(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00309315724 to six decimal places.\nAnswer: 0.003093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 2. Let j = z + -7. Suppose -2*f + 2*p = -10, 2*p - 75 = -3*f - 65. Put j, f, -1 in descending order.\nAnswer: f, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/(-12) - 7)\/(91\/(-14)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 9026 = 3*a + 2*d, 15038 = 5*a - d. Let g be a\/14644 + (-4)\/14. Let p = -41989\/8368 - g. What is the common denominator of p and -119\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.270242 nanograms in micrograms?\nAnswer: 0.005270242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10658464319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26\/(546\/315) - -46. Solve 59*n - t*n - 4 = 2*f, f + 8 = -2*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.324 - 0.5.\nAnswer: 3.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/307439 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10456*i**3*l**2*o**2 - 2*i**3*l*o - 15*i**3*o + 3*i**2*l**2 + 41*i*l**2*o wrt o?\nAnswer: -20912*i**3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-9)*h*h**1)\/(h**(1\/6))**(-22) assuming h is positive.\nAnswer: h**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oboocotolczoob. What is prob of sequence cc?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 999134470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 529.2 + -535.2. Is b < -4\/157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 13*g**2 + 224*g + 252. Calculate h(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2824 or -2172540\/769?\nAnswer: -2172540\/769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + (-2010)\/(-315))\/(1*(7 - 3)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -87 (c) 14 (d) 2\/93 (e) 13 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.5 + 0.5. Let x = -34 - -34.28. Let p = 0.02 + x. Which is the third biggest value? (a) p (b) j (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-5) - (-408)\/60. Suppose -2*r = -3 - j. Suppose -91 = -r*s - 11. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 774131740?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1056 - -17?\nAnswer: -1038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11122 - -1?\nAnswer: -11121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -267261552?\nAnswer: -1069046208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 61 - u + 2*u - 5*u. Let s be p(12). Let m(o) = o. Let c(y) = 3*y + 1. Let f(l) = 4*l + 1. Let a(j) = 6*c(j) - 5*f(j). What is s*a(i) + m(i)?\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 1177*n + 9724. Let b be q(-13). Round b to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13*(-99)\/16588)\/(0 - (-3)\/8). Is 0.4 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)*n**(-8)*(n**0)**20)\/((n**1\/n)\/n**(-2\/7)*(n\/n**(-1\/5))\/(n\/n**(-5))) assuming n is positive.\nAnswer: n**(-262\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 + 2\/(-3 + 1) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: What is 485 minutes before 4:10 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**3\/3 + a**2 - 52*a + 12. Determine r(0).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*o = 174*o + 77*o. Let x(q) be the second derivative of o*q**2 - 7*q - 1\/32*q**4 - 3\/160*q**5 - 1\/48*q**3 - 1\/240*q**6 + 0. Solve x(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 3.4 (c) 0 (d) 8\/7 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5*-0.0025.\nAnswer: -0.00375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*4 + 4 - (sqrt(325)*1 + sqrt(1573) + 2*sqrt(1573)))**2 + (-1*(sqrt(13) + sqrt(13) + 1)*1 - (5 + sqrt(13)*2 + -1))**2.\nAnswer: -200*sqrt(13) + 11949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105.4 + 138.4. Which is the nearest to -2\/5? (a) 1\/4 (b) -5\/2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -144075 - 4?\nAnswer: -144080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 870\/43 + -48624\/2365. Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 1. Let k(r) = r**2 - 2*r - 5. Let s = -671 - -665. Let w(z) = s*v(z) - k(z). Let a be ((-4)\/(-2))\/(6\/(-15)). What is w(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8099700 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/344 and 71\/26?\nAnswer: 4472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 - 0.96. Let h = 363.8 + -321. Let l = h + -42.741. Put o, -0.4, l in descending order.\nAnswer: l, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 8*t**2 - 3*t - 4. Suppose -5*g = -2*m + 24, -4*m + 1 - 9 = 4*g. Let i = 11 + g. What is the remainder when s(-8) is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30247, -30225, -30169, -30061, -29883, -29617, -29245, -28749?\nAnswer: -28111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**2 + 27*o + 20. Is y(-17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 4. Suppose -4*a = -8, 4*v - v - z*a = 11. Let g(w) = -w**3 + 7*w**2 + w - 2. List the prime factors of g(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 1562*h + 22. Give x(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11890.1 rounded to the nearest 100?\nAnswer: -11900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56383*u - 217733*u - 483229*u.\nAnswer: -757345*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13170891 to the nearest integer?\nAnswer: 3629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s - s - 2*s. Let o(u) = u + 10. Let x be o(-7). Let i(k) = 11 - x*k**2 - 5 - 6. What is h(i(m))?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2737361092.20000179 + -2737361056. Let y = d - 36.2. Round y to 7 decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/87, 8, -3\/7 in ascending order.\nAnswer: -3\/7, -1\/87, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**4\/8 + 3*w**3 + 33*w**2\/4 + 8*w - 1114. Factor s(h).\nAnswer: (h + 1)**2*(h + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(1 + d - 1) + 0*d + d - 5*d + (2 - 2*d - 2)*(-2 + 2 - 6).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4\/17)*y*(y\/((y*y**8)\/y))\/y*y*y*y**16*y*y**19*y*y assuming y is positive.\nAnswer: y**(557\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/5)*q**5*(q*q*q**(-2\/3)\/q)**50)\/(q*q\/q**(-2\/3)*q*q*(q**4\/q)\/q*q*(q*q*q**0*q)**(12\/5)) assuming q is positive.\nAnswer: q**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s - 7 + 19 - 15*s.\nAnswer: -2*s + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3647 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17049283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49650861 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1519602 divided by -746?\nAnswer: 2037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oowoovooooooow. What is prob of picking 2 o?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 2*b. Suppose 2*u + u - 81 = b. Calculate the lowest common multiple of u\/5 - 34\/85 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 126175, 252351, 378525, 504697, 630867, 757035?\n\"Answer: -m**2 + 126179*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77737 is divided by 38830?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 5*l - 3*l + 5*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -2078\nAnswer: 207.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 2:42 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*i**3*k*n - 2553029*i**3*k + 17*i**2*k*n - 2*i**2*k + i**2 - 59*i - 65*k*n + 2*n wrt i?\nAnswer: -30*k*n - 15318174*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.090336087 to 5 dps.\nAnswer: -0.09034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q + 38 + 5*q - 2*q. Let f be k(20). Solve 2*p + 0 = -4*x - f, -21 = 4*x - p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 4\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (726\/132)\/(55\/310)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9326 + -0.154.\nAnswer: -1.0866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 167 = 3*o, 132*d + 111 = 2*o + 131*d. What is the remainder when 180 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1056253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i**2 + 14*i - 33*i + 19*i.\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**4\/3 + 1480*u**3\/3 - 23921*u**2\/3 + 7480*u = 0.\nAnswer: -1496, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohhaauhaaaohu. What is prob of sequence oa?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104.1 + -39.4. Let o = j - 54. Round o to zero dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -605, -367, -93, 217, 563, 945?\n\"Answer: 18*a**2 + 184*a - 807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 2. Let n be p(-4). Let t be (-21)\/18 - -1 - (-425)\/(-105). Let u = -9\/2 - t. Which is the nearest to u? (a) 5 (b) -2\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h*h*h**(-3\/7)*h)\/h)\/h**(2\/35))**16)**(7\/8))**(-16) assuming h is positive.\nAnswer: h**(-1696\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/10)\/(28\/70). Let q = 606 - 606. Let h = 2 + -1. Put p, -1, q, h in decreasing order.\nAnswer: h, q, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36*y**3 - 87*y - 92921 wrt y.\nAnswer: -108*y**2 - 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (148\/12 + 3)\/(10\/15). Suppose 2*o = 26*b - d*b + 15, -5*b - 41 = 2*o. Sort b, 2\/9, -0.06 in ascending order.\nAnswer: b, -0.06, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1338 + -1?\nAnswer: -1339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**5 + 6*r**4 + 7*r**3 - 7*r - 5. Let j(q) = q**4 + q**2 + q - 1. Let v(d) = j(d) - p(d). Suppose v(a) = 0. Calculate a.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -34 (b) -2\/23 (c) -0.5 (d) 3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 + -2 + (-11 - -16)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*u - 3*b, -4*b - 18 = -u - b. What is the highest common factor of 66 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 731 + 214274?\nAnswer: 215225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7848916 is divided by 789.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 87583367 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*d*j**2*p + 2*d*j**2 - d*j*p - 5*d*j - 21*j**2 - 7*j*p + 3*j wrt j?\nAnswer: 10*d*p + 4*d - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - u + 1. Let t(s) = -s - 4. Let i be t(-4). Suppose -o = -i*o + 4. Let k(l) = 3*l**3 + 2*l**2 + 6*l - 7. Let h(x) = o*q(x) - k(x). Give h(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 4*s = 8, 41504*h - 41506*h = 2*s + 24 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 8*s - 24 = 0. Suppose -f - 72 = -3*n, -3*f - 34 + s = -n. Solve -4*v = -h - n, 0 = v - 0*h + 2*h + 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 3.8381\nAnswer: -3.8381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-64)\/1*((-2)\/(-4) - 1). Solve -18*c + 16*c**3 - 4*c**5 - 2*c**4 + 24*c**2 - 8*c**2 - 14*c + 2*c**5 - m = 0 for c.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 434371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a\/a**(2\/3)))**(19\/4)*a**(-1)*a**(-6)\/a)**(-1\/15))**(6\/17) assuming a is positive.\nAnswer: a**(1\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 - 3*p**2 + 6*p**2)*(-3*p + 2*p - 4*p**2 - p).\nAnswer: -4*p**4 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3696 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 8 - 1)*(0 + 0 + 3*b)*(1 - 1 + 4).\nAnswer: -168*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 381*x**3 + 16*x**2 - 58*x - 5. Let g(m) = 127*m**3 + 6*m**2 - 19*m - 2. Let v(s) = -8*g(s) + 3*i(s). Find the second derivative of v(u) wrt u.\nAnswer: 762*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 8:23 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 681 or 56520\/83?\nAnswer: 56520\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 285 - 2*g + 39*g - 361. List the prime factors of q(15).\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 206 - 206. Let n be 1*(1 + 0)*3. Suppose n*x + 0 - 12 = 0. Sort j, -3, x in descending order.\nAnswer: x, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -33 (c) -1\/3 (d) 4 (e) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 1. Let m(j) = -5*j + 1. Determine -m(g) + 2*q(g).\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421*g**2 + 83*g**3 + 85*g**3 + 86*g**3 - 255*g**3.\nAnswer: -g**3 + 421*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-2 + sqrt(153) + 1 + 3 + sqrt(153)*1 + 5)*-3)**2.\nAnswer: 756*sqrt(17) + 5947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g + 2 = -z, -5*g = 5. Let k = -6 - 0. Let q = k + 3. What is the second biggest value in z, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*c**2 + 7*c**2 - 5*c**4 - 3 - 8*c**4 - 19*c**2 wrt c.\nAnswer: -312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61.9 + -88. Let i = -290.1 - x. Let a = i - -325.5. What is a rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.43138989 to four dps.\nAnswer: 0.4314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -232 + 253. Let i(s) = 4*s**2 - 83*s - 2. Let v be i(y). Solve 18*d - v*d = -2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 321 by -359.\nAnswer: -321\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2093 (base 15) to base 4\nAnswer: 1223220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 - 11 = 30. Calculate the remainder when 5806 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aappppapapaap?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2027 + 4056 + 1115*a - 2030.\nAnswer: 1115*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96762354.\nAnswer: 2, 3, 13, 1240543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/4*350\/6125.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 534*g**2 - 976*g - 3898. What are the prime factors of h(-4)?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6458 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -546 divided by -6\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -187628 - -127438. What is j rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04205268 times -0.14\nAnswer: -0.0058873752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*q - 7 = -0*q, -2 = t + q. Let b be ((-38488)\/16)\/(1\/(-8))*t. Let a = -77244 - b. What is a rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(((s**(1\/3)\/s)\/s)\/s))\/s))**9\/(s**12*s**(-11\/3)\/s) assuming s is positive.\nAnswer: s**(-67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, x: 4, k: 6}. Give prob of picking 1 k, 2 x, and 1 s.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20705 + 21844. What is the greatest common divisor of h and 561?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 659822902 and -11.11.\nAnswer: 659822890.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85288 + 85287.03121. Let p = 0.974 + t. What is p rounded to 4 dps?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 + 8*h - 19. Calculate the remainder when v(-9) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38619 or 38616?\nAnswer: 38616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 122152700 to the nearest 1000000.\nAnswer: 122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 84*i**2 + 1. Suppose -4*o = 5*x - 9 + 3, 2 = 2*x + 2*o. Suppose q = -x + 1. Is g(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 635.\nAnswer: -2\/635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29\/776 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, x: 1, y: 4, q: 1, u: 1}. What is prob of picking 1 u and 2 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8966780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -1. Let o = -2801 - -2805. Which is the fourth smallest value? (a) l (b) 1 (c) o (d) 29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2366085 (base 9) in base 4?\nAnswer: -10321130012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 6*m - 7. Let f be y(6). Let o = f + -60. Suppose 4*g + 8 = -q - 3*q, 4*g - 2 = -2*q. Solve -g*k = -o - 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 555*g**2 - 1108*g**2 - 283*g**5 + 553*g**2 + (2*g**2 - 2*g**2 - 2*g**2)*(-g**3 - 2*g + 2*g).\nAnswer: -281*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (224\/(-64))\/(5\/((-80)\/14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-9))\/((-805)\/(-345)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -184*p**4*r**2 - 711068*p**3*r**3 - p**2*r**2 - 13*p**2*r - 1004*p*r**3 + 20*p*r**2 - p + 2*r**3 wrt p?\nAnswer: -4416*p*r**2 - 4266408*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, 109, 0.5, 2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*r - 43*r = 0. Suppose -12 = 2*q - n + 3*n, r = q - n. Let m be (2\/q)\/((-10)\/45). Solve 5*u + 3*l - l - 33 = 0, m*u = 2*l + 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 674 - 277. List the prime factors of x.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (22 + -15 + (-20 - -8 - -14))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -1.1, -1, 0.96?\nAnswer: 0.96","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4880 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 8, -0.289282, 2?\nAnswer: -0.289282","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1420848 * 3.\nAnswer: 4262544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.48 - 0.3?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**6\/120 + 7*c**5\/60 + c**3\/2 - 48*c**2 + 4. Calculate s(-6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + 31444?\nAnswer: 32011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -139*o - 14. Let t(a) = 93*a + 10. Calculate 5*b(l) + 7*t(l).\nAnswer: -44*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02382 + -0.37618. Which is the smallest value? (a) -3 (b) p (c) -5 (d) -1\/12 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56618 is divided by 602?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7666020 and 17248545?\nAnswer: 68994180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -43*u**3 - 475*u**2 - 25*u - 31. What is p(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 4)*(-48475)\/(-112). Let z = m - 2588. Calculate the common denominator of -99\/4 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 148*z - 83*z - 66*z - 6, -3*z = 5*l + 18 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + 44 + (7 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -14. What is the second derivative of -11*d**j + 5*d + 7*d**3 - 2*d + 4*d wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0173 and 0.1.\nAnswer: -0.00173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10119296 and 473.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/(-24) + (30\/(-5) - -9)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -19*p**2 - 3. Let u(z) = 19*z**2 + 4. Let h(g) = -3*u(g) - 4*v(g). Let w(i) = -1 + 16*i - 14*i + 1. Determine h(w(q)).\nAnswer: 76*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -291.34 from -954961371.\nAnswer: -954961079.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -160680 + 55434442\/345. Let k = q - -4\/69. Let w be (6\/9)\/((-11)\/3). Which is the second biggest value? (a) -3\/8 (b) w (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/7*49\/105?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 480*g*o**2 + 7*g*o + 12*g + 60*o**2 + 56*o - 1613581 wrt o?\nAnswer: 960*g*o + 7*g + 120*o + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 - 15 - -8)\/(1\/2). Let j be -1 + (g + -11)*1. Is j > -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z + 7 + 0*z - 3*z. Let i be t(6). Let x(r) = -r + 1. Let v(w) = 2*w - 1 + 0*w - w. Give i*v(f) + 2*x(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.5983 to 1 decimal place.\nAnswer: -42.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k. Let v(y) = -19*y**2 - 759701. What is v(m(h))?\nAnswer: -19*h**2 - 759701","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97145?\nAnswer: 5, 19429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(5\/2)\/i)*i\/((i\/(i**(-4)*i))\/i))\/(i**1)**(-13) assuming i is positive.\nAnswer: i**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2244 a factor of 44209258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 2*t**3\/3 + 1. Suppose -6*w + 8 = -2*w. Let g(s) = 3*s**2 - 5*s**2 - s**2 + w*s**2. Give g(q(y)).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eaca when four letters picked without replacement from {c: 5, o: 2, a: 3, e: 7}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8797961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2150096?\nAnswer: 2, 13, 10337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 62878935241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 29\/((-3074)\/(-2120))*9\/(-55)\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 371\/5 + -74. Suppose -4*t = -142 + 22. Let s = -119\/4 + t. Which is the third biggest value? (a) 0 (b) s (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 15\/11, -102, -4, -5?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 2*y + 572 = -4*y + 554, 2*v - 2*y - 18 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -138 + 116.1. Let b = h + 22. What is the closest to b in -2, 1\/2, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 9*y**2 + 13*y - 25. What is p(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m**3 - 9*m + 2*m**3 - 24*m**3 + 7*m**3. Let y(o) be the first derivative of 0*o - 1 + 0*o**3 + 1\/2*o**4 + o**2. Give 2*w(h) + 9*y(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * 2.8\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y**3 - 12*y**2 + 15*y + 15. Let r(j) = 3*j**3 + 13*j**2 - 15*j - 14. Let s(v) = 4*g(v) + 5*r(v). Calculate s(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/7)\/(b*b\/(b\/((b*b**(-4))\/b))))\/(b**(1\/4)\/(b\/(b**(1\/8)\/b*b)))*((b*b*b\/(b\/(b\/b**(-5)))*b)\/(b*b*b**(3\/5)*b*b))**(-2\/25) assuming b is positive.\nAnswer: b**(24911\/7000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*s + 72 = 0, -2*s = -2*v - 0*v + 40. Let d be v\/(-5) - 8\/(-2). Which is the third biggest value? (a) -0.5 (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 379*v - 2648. Give c(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 d when three letters picked without replacement from {z: 2, d: 4, t: 1, k: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118 + 100 + 96 - 12*h**3 - 23*h**3 - 265.\nAnswer: -35*h**3 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2616 and 207578728.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 23*x**2 - 19*x - 2. Let i(l) = 2*l**2 - 124792481 + 124792481. What is b(i(u))?\nAnswer: 92*u**4 - 38*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105288 and 68052.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-18)\/4)\/((-20)\/80). Suppose -20 = 3*m - 4*d, -d - w = 2*m - 1. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.5 - 7. Let w = -19 - -19. Which is the closest to f? (a) w (b) 0.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -6 + -7 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 28*s + 27 = 0. What is the common denominator of (((-714)\/s)\/7)\/(-3) and 43\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1 = -3. Let r be ((-40)\/30)\/(8\/(-18)). Suppose s**2 - g*s + 6*s - r*s - 2 = 0. What is s?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17949952?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 1904 = 26*i. Which is smaller: i or -110?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79\/2 - -2129\/54. Do o and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6157, -11330, -16503, -21676, -26849?\nAnswer: -32022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 16*f**3 + 33*f**2 + 6*f + 6. Let h(d) = 33*d**3 + 65*d**2 + 13*d + 13. Let b(t) = 6*h(t) - 13*v(t). Find the third derivative of b(z) wrt z.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - -6) + 3*1. Suppose -7*j = -y*j. Suppose 0 = m - 4*m + 4*t + 16, j = 3*m + 5*t - 7. Solve 4 = -m*z - 0*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 divided by 2.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times -72969?\nAnswer: 2918.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1318605714 to the nearest integer?\nAnswer: 36313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 3*j - 4. Give o(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/3)\/(5\/6). Solve 0 = 4*j + f - 22, -a*f = -8*f + 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 407*f + 2786 - 6629 - 5518 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -261.8 times -1064.18?\nAnswer: 278602.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11\/28 - -165\/28. Suppose 22 = 3*i + 4*v, 0*i - v = 3*i - 28. Calculate the common denominator of ((-2)\/8 + i\/(-40))\/(-5) and c.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -147, -11, 281, 777?\nAnswer: 1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -142, 1513, 3154, 4775, 6370, 7933?\n\"Answer: -u**3 - u**2 + 1665*u - 1805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -112086\nAnswer: 1\/37362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6263851 divided by -4?\nAnswer: 6263851\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.3269 - 1.\nAnswer: -16.3269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s. Suppose -159*z - 90 = -168*z. Let n(r) = -3*r + 1. Let t(w) = -41*w - 5. Let a(j) = z*n(j) + 2*t(j). Determine a(m(i)).\nAnswer: 112*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - g - 7 + 41 - 5*g to the form t*g + w and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.2 (c) 481 (d) -0.6 (e) -38 (f) -3 (g) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84320 and 960.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -562351 (base 8) to base 16.\nAnswer: -2e4e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4538282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 7*k + 5. Let r be l(6). Let g be r\/3 + 4\/(-6). Let t(o) = -3*o**3 + o**2 + o. Determine t(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94 + -70. What is w rounded to 0 dps?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-48))\/((-16)\/(192\/(-18))).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**4\/4 + 3*y**3 - 3*y**2 - y - 5968. Determine w(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 1. Let z be d(0). Let w = 3 - z. What is the remainder when 3 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -5*r - n, 3*r = 13*n - 18*n - 21 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -246*r**2 - 58?\nAnswer: -492*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33097?\nAnswer: 23, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -325, -5, -156, 18, -2 in increasing order.\nAnswer: -325, -156, -5, -2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 7:17 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 11 = 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 2148.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z - 5. Let j(m) = 13 - 14 - 16*m + 10*m - 7. Give 8*i(u) - 5*j(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - -3. What is the greatest common divisor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in -51, 2, 1, -2\/7, 10\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {h: 2, v: 9}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127 + -124. Suppose 5*d - h = 355, k*h - 2*h - 221 = -3*d. Let o = -8 + d. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20.8 and 6728?\nAnswer: 139942.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 567263?\nAnswer: 567263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -171, 584, 3875, 11364, 24713, 45584, 75639, 116540?\n\"Answer: 277*n**3 - 394*n**2 - 2*n - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -71. Suppose -5*w - 175 = 3*h, -h - 17 - 53 = 4*w. Let q = h - r. Which is the nearest to -1? (a) 0 (b) q (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 531641. Let v(h) = 2*h**2. Give u(v(m)).\nAnswer: -2*m**2 + 531641","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2737 is divided by 275?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwnwawnwawawwn. What is prob of picking 1 w and 1 a?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 3*b - 2247 + 11204 - 2225 - 2249 - 2243 - 2238.\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/18*(1 - 9\/(-9))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/6*(-6)\/4. Suppose 0 = -6*c + g*c + 260. Calculate the greatest common factor of 26 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14899, 29630, 44361?\n\"Answer: 14731*v + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**3 - j + 3650*j**4 + 19*j**2 + 3 - 7263*j**4 + 3611*j**4 in the form f*j**2 + k*j + m*j**4 + r*j**3 + q and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 309464?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125\/(-50)*(-4)\/(-95).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y - y + 2*y**2)*(-3*y + 0*y + 2*y) - y**2 - 18 + 6*y**3 + 18 + 7*y**3 + 0*y**3 + 2*y**3 to the form r + f*y**2 + o*y**3 + g*y and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.238912nm in centimeters?\nAnswer: 0.0000005238912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 49 = -z, 4*n - 23*z + 27*z = 92. Solve -39*i = -93 - n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-8 - -2) + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1424876394 - 176.\nAnswer: 1424876218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -243 - 45. What is the least common multiple of a*(4 - 65\/15) and 24?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*n**2 + 5*n**4 + 12*n**2 + 7*n**2 + 30*n**2 - 2*n**3 - 1 + 32*n to the form p*n**4 + y*n + l + j*n**3 + d*n**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 57*b**3 + 27*b**3 + 0 + 26*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - j - 217 = -32, 0 = -2*b - 3*j - 114. Let d = 108 + b. Suppose -3*g + 6*g = -5*a + d, 5*g - 2*a - 106 = 0. 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: Evaluate ((-7)\/14)\/(3*1\/(-8)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeezzezzeeeezeeee. What is prob of sequence ezze?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 z when four letters picked without replacement from {t: 3, x: 7, z: 7, g: 3}.\nAnswer: 21\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -680*k + 2097*k + 2102*k + 1964*k.\nAnswer: 5483*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.72 + -0.18. Let u = o - -10. Let q = -0.37 + -0.03. Which is the second biggest value? (a) 1 (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*sqrt(171))\/sqrt(9) + 1 + (-1*sqrt(190)*2 - sqrt(190))\/(6*sqrt(90)))**2.\nAnswer: 7*sqrt(19)\/3 + 967\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-25))\/(21\/15). Which is greater: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d*d*d*d*d\/((d**(-1)\/d)\/d)))**46)**(-1\/27))**47 assuming d is positive.\nAnswer: d**(17296\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198627120 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -478 - -473. Let t be 0 + 0 - (-4)\/14. What is the second smallest value in 3, t, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 - 29. Is (-2)\/12 + 109865\/j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/4)*k**(-1)\/k)**(-17))**(-3\/4) assuming k is positive.\nAnswer: k**(-357\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/8373 - 66886\/410277. Let d = f + -6\/49. Let k = 3 - 3. Which is the nearest to -1\/4? (a) 2 (b) d (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -h - 7231, -2*h - 2*h - 4*s = 29004. Let r = h + 2346. What is r rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 20*b**2 + 6*b + 9. Let v(w) = 3*w + 10. Let r be v(-6). Is a(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 13*u**2 + 8*u + 43. What is o(-13)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-195)\/105)\/((-3)\/21). Solve 5*i + b = 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 922, 921, 920, 919?\nAnswer: 918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3182 is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -95?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -180, -412, -738, -1158, -1672?\nAnswer: -2280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.146261 to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 - 13*p**2 - p**2 + (0*p - p + 3*p)*(2 - 3*p - 2) - 3*p**2 + 0*p**2 + p**2.\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 2, 10, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3888 and 3306096?\nAnswer: 9918288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.97 - 0.03. Suppose -105*r + 111*r + 18 = 0. Put s, 11, r in decreasing order.\nAnswer: 11, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 + 25 - 123 = 14*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/8*(1 - (-44)\/(-48))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61832 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 8*j**2 - 15*j + 141. Calculate d(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/55*(-17)\/(986\/(-435)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/7, -6\/31, -0.04 in descending order.\nAnswer: 0.5, -0.04, -6\/31, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4800 and 225?\nAnswer: 14400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/5)\/((88\/(-11))\/16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -4*a**5\/5 - 14*a**4 + 128*a**3\/3 + 540*a**2 + 900*a - 728. What is q in m(q) = 0?\nAnswer: -15, -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189) + -3*-1*sqrt(189))\/(sqrt(56)\/(2*sqrt(800) - sqrt(800)))*3 + 2.\nAnswer: 2 + 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3987*n - 19437. Is b(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31117 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/17, -0.2, -1, 14010, 3\/8 in decreasing order.\nAnswer: 14010, 3\/8, -1\/17, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -11*q**2 + 4*q + 9. Let z be v(4). Let o = z + 318. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 - 56. Put j, 3, 0 in ascending order.\nAnswer: 0, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6626, 26783, 60450, 107627, 168314, 242511?\nAnswer: 330218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -69*n - 1\/2*n**3 + 5*n**2 + 0 - 1\/12*n**4. Factor b(o).\nAnswer: -(o - 2)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 3*r + 20 = 0. Suppose 3*h - r*h + 2 = 0. Let k be ((-36)\/(-24))\/(h\/4). Solve k*w + 3*t = 2*w + 23, 5*w - 21 = 4*t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -9)*2\/(-4). Suppose 46 - 42 = -a*h. Sort h, 3, 12, -2\/7 in descending order.\nAnswer: 12, 3, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 41*c**2 + 27*c**2 - 4*c**2. Suppose -4*z + 6*t = -46, 241*z - 3*t + 173 = 246*z. Let m(q) = 3*q**2 + 8*q**2 - 4*q**2. Determine z*m(k) - 3*r(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, l: 5, s: 2}. Give prob of picking 1 l and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1781, 3808, 5835, 7862?\n\"Answer: 2027*c - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 3*p**4\/2 + 14*p**3\/3 - 3*p**2\/2 + 10826*p - 3583. Differentiate o(n) with respect to n.\nAnswer: 18*n**2 + 28*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -402297, -402234, -402171, -402108, -402045?\nAnswer: -401982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1755783?\nAnswer: 3, 65029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-40)*1)\/((-74)\/((-107744)\/3549)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/9))**(2\/27)*((t**7*t*t)\/t*t)\/(t\/t**0*t)*((t**(-4))**10)**(-1\/78) assuming t is positive.\nAnswer: t**(23681\/3159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -249660*-0.1\nAnswer: 24966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)*(s*s\/s**24)\/s*s**(9\/4)\/(s**(1\/10)\/s))**(-5) assuming s is positive.\nAnswer: s**(437\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 45747.04mg?\nAnswer: 0.00004574704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18268.62666 + 0.565.\nAnswer: -18268.06166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -168, -131, -88, -39, 16, 77, 144?\n\"Answer: 3*w**2 + 28*w - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - 1050?\nAnswer: -1063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 240 = -y - 2*d - d, 0 = 11*y + 5*d + 996 + 278 for y.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3 - 1 - 3 + 5 + 2*u wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.8 + -5.7625. What is q rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 4*g + 626, -4*o - 4*g = -0*o - 1276. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 2812 + 5761 = -3727. What is the highest common factor of j and 2665?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 4*l = -2, 12*g + 2*l = 10*g - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2) + 0 - (-15 - (-14 - -11)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1711 > 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 1, s: 1, u: 1, i: 1}. Give prob of sequence su.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12) + -5*(sqrt(108))**2.\nAnswer: -540 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 434*o**5 + 5*o**4 - 207*o**2 + 7242273*o wrt o.\nAnswer: 8680*o**3 + 60*o**2 - 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (sqrt(1008) - (2 + sqrt(1008))))**2 - (5 + (-2*sqrt(14)\/sqrt(2))**2 + -3).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**2 - 24*o - 5. Let j = 332 - 340. Let r be i(j). Let w(f) = -1 + 3 - f + 0. Determine w(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7602511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -3. Let g be (-3)\/4*(-16)\/m. Are -0.2 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24*((-560)\/(-24) + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(2\/7)\/l)**(-2\/9)\/((l\/(l*l\/l**(-1\/13)*l))\/(l\/(l**4\/l))))\/((l\/(l\/(l**(-1\/5)\/l)))**(-6\/17))**(4\/37) assuming l is positive.\nAnswer: l**(-72859\/286195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q**2 + 6*q + 12. Let r(b) = 23*b**2 + 23*b + 46. Let o(t) = -23*g(t) + 6*r(t). Let m(z) = -12*z**2. Give o(m(d)).\nAnswer: -3312*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwl when three letters picked without replacement from wlwhwwwlehhehlw.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -1.3, -7, -0.5?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5683600.4 rounded to the nearest 10000?\nAnswer: 5680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 330 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 344\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**5\/15 - y**4\/24 - 6*y**2. Is 4 a factor of r(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 21 + (-1 - -10) + (-33 - -22) + 78.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5 + 30 = 0. Let j(t) = 18*t + 17. Let i(n) = -9*n - 9. Let u(y) = -7*i(y) - 4*j(y). Is u(p) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by -138889?\nAnswer: 44\/138889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15483 (base 10) to base 7.\nAnswer: 63066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(567)\/(sqrt(9) - (sqrt(9) - (sqrt(9) - sqrt(144)))) + (-2 + -3 + sqrt(63) + -5)**2.\nAnswer: -61*sqrt(7) + 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2089371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -544, -4126, -13828, -32710, -63832, -110254, -175036?\n\"Answer: -510*l**3 - 12*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1281 and 5558808?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i - 3*i - 9 - i**2 + 7*i + 7*i. Let v be d(8). Let x be 1 - 5 - (-8 - v). Which is greater: 2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*v + 50 - 55 + 3*v + (-6*v + 4*v + v)*((4 + 0 - 2)*(1 + 2 - 2) - 69 + 16 + 13))*(-2*v**2 - 3 + 3) in the form f*v + h + k*v**3 + l*v**2 and give k.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 405 - 405. What is the biggest value in -1\/3, 21\/2, d?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*a**3 + 22 + 679*a + a**4 - 23 - 3*a**2 - 682*a to the form x*a**3 + t + n*a**4 + r*a + m*a**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 6*i - 13*i = -16*i + a - 119, 0 = -i + 6*a + 16 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1854289*18\nAnswer: 33377202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 16650*l. Let y(m) = 17*m. Give y(a(q)).\nAnswer: 283050*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083855 to the power of 1\/2, to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*w**3 - 37*w**3 + 277*w + 45*w**3)*(2 + 2 - 3) - w**3 + 3*w**3 - w**3.\nAnswer: -2*w**3 + 277*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 712, 1428, 2146, 2866, 3588, 4312?\n\"Answer: u**2 + 713*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/4)\/(27\/(-18)). Let g = 43 - 12. Solve 4*t + r = -2*r + g, r = 2*t - c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2 - n - 2*n - n**3 + 5*n**2 - 4 + 2*n**3. What is the units digit of f(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 + 3*q**2 - q**3 + 7*q**3 - 36 + 331*q - 332*q - q**3 to the form j*q**3 + b*q + y + g*q**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2831 and -128.\nAnswer: -362368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.029\nAnswer: 0.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 7:49 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 35715 + 114350 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8071181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -35862?\nAnswer: 35863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322 (base 7) to base 6.\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -30617 greater than -30634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-45)*3*-6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 a when four letters picked without replacement from vvavvvaavvvvvvvavavv?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 + -0.9. Which is the third biggest value? (a) 5 (b) u (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 7 - 2)*(-305449 + 1024*b + 305449) - 3*b + b + 6*b + (2*b + 4 - 4)*(1 + 0 + 1) in the form k + r*b and give r.\nAnswer: 2056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 309 - -0.1374.\nAnswer: 309.1374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07781686232 to 4 decimal places.\nAnswer: -0.0778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**5 - 3*o**5 + 3*o**5 + o**5 - 3 + 3 + (-3*o**3 + 0*o**3 + 5*o**3)*(-4*o + 0*o - 2*o)*(6*o - 2*o + 0*o).\nAnswer: -45*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -38550000 to the nearest one million.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 3 = c, -7*z + 5*c = 8*z - 20*z - 3 - 32 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61546649?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (205 - 104 - 100 - x**2)*(1 + 0 - 2)*(-3*x + 2*x + 2*x) + x**3 + 0*x**3 + 3*x**3 in the form l*x**2 + q*x**3 + n + f*x and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 10, -1, -0.1, -9 in increasing order.\nAnswer: -9, -1, -0.2, -0.1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154756105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4073 (base 11) to base 10.\nAnswer: -5404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1089 + 1089. Let y(b) be the first derivative of 0*b**2 - 2*b + c*b**3 - 11\/4*b**4 - 6. Differentiate y(o) with respect to o.\nAnswer: -33*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -47, -1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**4\/12 + 7*i**3\/6 + 11*i**2\/2 + 3*i + 6. Give g(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164.571 times -2\nAnswer: 329.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3675878.6 and -0.5.\nAnswer: 3675878.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 409 = 409 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 7:37 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xexfxgfpenexfxg. What is prob of picking 2 x, 1 p, and 1 f?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -2.56378.\nAnswer: -1.025512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (315 + 302 - 180)*(0 + 3 - 2)*(-z + z - 2*z) as n + t*z and give t.\nAnswer: -874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 156 + -151. Let w(s) be the third derivative of 0*s + 0 + 1\/6*s**4 + 0*s**3 + 0*s**p + 2*s**2 + 1\/120*s**6. What is the second derivative of w(y) wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s - 3. Let h be k(-2). Suppose 0 = -h*r + 3*q + 132, 0 = 5*r + 3*q + 2*q - 170. What is the remainder when r is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*k, -2*k = -2*d + 18789760 + 610230. Round d to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 8 - x - 2)*(21 + 16*x - 21)*(2*x - 3*x - x).\nAnswer: 32*x**3 - 256*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23238 - -23272. Solve h + 6 = -10*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 16*s**2 + 4*s + 2. Let y(a) = 15*a**2 + 3*a. Let d(n) = 3*o(n) - 4*y(n). Let v(b) = -b**2. Determine d(v(m)).\nAnswer: -12*m**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 17, u: 3}. What is prob of picking 2 a and 1 u?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100845 is divided by 132.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 0.05 (b) 0.1 (c) 1\/8 (d) -0.5 (e) 9 (f) -2\/201\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014558.19 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10534\/99 + -956\/9. Let i be (-3)\/(126\/(-24)) + 0. Suppose -p - 10 = 4*p. Which is the nearest to -2? (a) i (b) t (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o + 1. Let q be h(-2). Let t(d) = 10 - 2*d**3 + 2*d**2 + 7*d + 3*d**3 + 6*d**2. Is t(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/2188 and 46\/3829.\nAnswer: 15316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.384 - -0.036. What is l rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*u**2 - 57*u**2 + 119*u**4 + (-4*u**2 + u**2 - u**2)*(-u**2 - u**2 + 3*u**2) as z*u**3 + i*u**2 + y*u**4 + s*u + w and give y.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 16*j - 2. Let g = 41 - 2. What is the remainder when g is divided by o(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -66. Let w be ((-8)\/(-42))\/(9\/u). What is the third biggest value in -5, 2, w, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = -24*t + 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, b: 2, s: 3, k: 1}. What is prob of sequence bbxk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.990527 centuries in years?\nAnswer: 999.0527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (40\/(-15) + 2)*-3. Let a(c) = 25*c**2 - 3*c - 15*c**t + 3*c. Let p(x) = x - 4*x + x + 3*x. Calculate a(p(y)).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 * -109.55624.\nAnswer: -1972.01232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5.975*-8\nAnswer: 47.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (86\/(-817)*-95)\/(15\/(-27))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -665*l**3 - 35911*l**2 - 31*l + 1149. Determine o(-54).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 6:11 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/7, -0.7, -1, -5 in decreasing order.\nAnswer: 4, 2\/7, -0.7, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 838060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 9*y**2 + 266*y - 141. Give g(-30).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(85)\/(-3*sqrt(5)))**2.\nAnswer: 2*sqrt(17) + 98\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*j + 52*j = 5216. Is (j\/(-12))\/(8\/(-60)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12.08 in 4, 4.3, -2, 0, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2514, 4, 53, 0, -2\/3?\nAnswer: 2514","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swsnwuw. What is prob of picking 1 s, 2 w, and 1 u?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1949 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2)**(-3\/28)\/(r\/(r**(-1\/2)*r)*(r\/(r\/(r\/(r**(-5)*r))*r))\/r) assuming r is positive.\nAnswer: r**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8982 and 60?\nAnswer: 89820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -18, 1, -3 in increasing order.\nAnswer: -18, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*g - 59*g = i - 1, -2*g - i + 1 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-330)\/(-220)*(10\/(-3) - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 206810658 and 2610.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 61 = 2*x - 3*x, -5*x = 4*d + 96. Let c = d + 184. What are the prime factors of c?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 29 = 35. Suppose 6*w - 21 = r*w. Do 3 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)\/(-3*sqrt(11)))\/((sqrt(22) + sqrt(792))\/sqrt(11) + sqrt(2) + sqrt(2)))**2 - ((sqrt(72) + 2 - sqrt(72) - sqrt(18)) + sqrt(1152)*-5)**2.\nAnswer: -22060996\/729 + 492*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -16\/3141043?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 100001100101101000000011?\nAnswer: 100001100101101000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1380259 - -3479979. Let o = f + -2099721.9999984. Let d = o + 2. Round d to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 1\/24*p**4 + 0*p - 1\/120*p**6 + 1\/15*p**5 + 14*p**2 + 0 + 3\/2*p**3. Is 13 a factor of o(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1632 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -282*c - 82*c - 13*c - 120*c + 80*c as q*c + a and give q.\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 7*v - 68 - 12 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205048047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*k - 225, -w - 3*k - 2*k = 198. Let d = w - -1493\/7. Factor 2\/7 + 2\/7*j - 2\/7*j**2 - d*j**3.\nAnswer: -2*(j - 1)*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - (-52 + 27)) + 0 + -11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*c + 87 - 1, -4*c = -i - 49. Let w be (-11)\/(i\/30) + -4. Suppose 20*l - 23*l = -w. Calculate the highest common factor of l and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260227 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - 762*r**2 - 6*r**3 + 1536*r**2 - 749*r**2 to g*r**3 + w*r**2 + j*r + d and give w.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c - 1. Let p be w(-4). Solve b - p = 2*i, -4*i + i - 4*b = -5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2. Let l(x) = 4*x**2 - 4*x + 3. Let v(m) = -l(m) + 3*r(m). Let t be (120\/100)\/(6\/20). What is v(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9179 divided by -67.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -18*j**2 + 0*j**4 + 0*j**3 + 1\/2*j**5 + 0*j**6 + 0*j + 0*j**7 + 0 - 23\/168*j**8. Find the third derivative of d(g) wrt g.\nAnswer: -2760*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 473900?\nAnswer: 142170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 2602452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*l = 10*l + 1133, -x = -5*l - 554. List the prime factors of x.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -6*o**3 - o**2 - 2*o - 1. Let j be (-1)\/(-2)*6\/(-1). Let g be -1*(-1)\/(j + 2). What is the lowest common multiple of 11 and v(g)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2\/3 + 8*l\/3 + 7\/3 = 0. Calculate l.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04481 + -16.04481. What is the closest to 1\/6 in 1\/12, 0, h?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28 + 274607?\nAnswer: 274579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 171 - 54. Let j be 2\/8 - z\/36. Which is smaller: j or -11\/3?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 65, 105, 149, 197?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 11*n + 15*u - 38 = 0, -3*u - 4 = 5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7620*d**3 - 5 - 521*d**3 - 4 + 9.\nAnswer: 7099*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 676 divide 481613496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 82380 + 2?\nAnswer: 82382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101 + 183. Let s = 167\/2 - k. Which is the second smallest value? (a) s (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5259*y**2 + 18*y - 5267*y**2 - 18*y.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/27)\/((-144)\/168 - (-249)\/315). Let a(g) be the first derivative of 16 + 0*g + 0*g**2 + 2\/15*g**s + 1\/2*g**4 + 0*g**3. Let a(k) = 0. What is k?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 2022000120110?\nAnswer: -2022000120101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3341 (base 9) to base 5.\nAnswer: -34332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (250\/(-100))\/((50\/5)\/60).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77928400 rounded to the nearest 1000000?\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 9, -m - q + 66991944 = 2*m. Suppose 0 = 7*s + m + 559351. Round s to the nearest 100000.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 15183*v**2. Let o(j) = 550*j. Calculate p(o(u)).\nAnswer: 4592857500*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-10) + 52\/20. Suppose -5*f + 61 = -r*b + 5*b, 0 = 4*f - 4. Suppose b = -2*t + 4*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000525016 to six dps.\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -342138 divided by 57023\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-204)\/714 + ((-1496)\/56 - -2)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 6:40 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 229594721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -550*f**2 - 612*f**2 - 160*f**2.\nAnswer: -1322*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6909770 by 6909770.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 0*r - 1\/24*r**4 + 1\/120*r**6 - 1\/20*r**5 + 0 - 1\/3*r**3 - 2*r**2. What is z(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 0*d - 22\/9*d**2 - 2\/45*d**5 - 4\/3*d**4 - 10\/3*d**3 - 113. Factor x(o).\nAnswer: -2*o*(o + 1)**2*(o + 22)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1882.\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**2 - 2*r - 15. Let y(p) = p**2 - 5. Let u(o) = -m(o) + 5*y(o). Give u(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5*102\/(-340)*2\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-6*(sqrt(204) + -1*sqrt(204)))\/((sqrt(12) - ((sqrt(972)*-1 - sqrt(972)) + sqrt(12)))*3)*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 9*y = 3*a - 15*y + 1, 26 = a - y + 35 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15555 - 15532. What is the remainder when 152 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.25482 kilograms in milligrams?\nAnswer: 86254820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 5 - (19 + -21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + c - 2528 = 0, -4*c - 24 + 40 = 0. What are the prime factors of g?\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 18 = 2*p, -22 - 1 = -2*p + 3*n. Let c be (16\/p)\/(3\/15). Find the common denominator of 95\/c + (-2)\/(-4) and 39\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 440?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*y - 10 = -3*s, -y = -5. Suppose 3*d - 104 = -s. List the prime factors of d.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 1065505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/1896 and 107\/6952.\nAnswer: 20856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2259478745.\nAnswer: 5, 451895749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/2*((-39)\/182)\/(12\/(-14))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 9:25 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1542024 and 144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 4. Suppose q = 2*g + 41, 169 = 5*q + 2*g - 0. Calculate the highest common factor of q and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 0*d - 24. Suppose -2*a + d = -24. Suppose -2*p + 22 = -m, p - 2*m = -p + 18. Calculate the remainder when a is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 759589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z - 19*z - 6 = 0. Suppose -z*g = -b - 0*g + 60, -2*g = -8. Calculate the remainder when b is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 1)*((-2*k + 0*k + k)*(5 + 5 - 2) + ((0 - 2 + 5)*(0 + 0 + 2) - 1 + 3 + 0)*(-3 + 7*k + 3)).\nAnswer: 192*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5916698 divided by -15017.\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.66 - -0.84. Let r = u - -33.82. Let l = 32.94 - r. Put l, 1, -3 in descending order.\nAnswer: 1, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-14)*8\/(64\/4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3518 divide 576094097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -11*a**3 + 29*a**2 + 256*a + 1008. Let i(c) = 12*c**3 - 30*c**2 - 256*c - 1056. Let w(n) = -9*i(n) - 10*u(n). Factor w(r).\nAnswer: 2*(r - 18)*(r + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-25)\/8))\/((12154\/(-885))\/(-103))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2. Let q be ((-65)\/26)\/(5\/(-4)). Let t(s) = -21*s**q + 3*s**2 - 8*s**2 + 9*s**2. Determine v(t(y)).\nAnswer: 289*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 7*u - 8*u + 54, j - 5*u = -10. Solve 410 = -j*c + 360 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 6. Suppose 90 = a*i + 3*i. Calculate the common denominator of -27\/22 and (453\/10)\/(i\/(-5)).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 1. Let s(d) = d**2 + 3*d + 3. Let t be s(-2). Let r(m) = 5*m**2 + m. What is t*r(h) + 2*g(h)?\nAnswer: 3*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 1\/18*k**6 - 1\/9*k**3 + 4 - 1\/12*k**4 + 1\/15*k**5 + 0*k**2 + 0*k. Factor c(w).\nAnswer: w**2*(w - 1)*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/29793296 and 91\/16798.\nAnswer: 1102351952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmu when three letters picked without replacement from {u: 4, m: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4505 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 6*t**2 + 11*t + 2. What is s(-8)?\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -9, 64 + 137 = 5*m - 3*a. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 2. Let p be (-2)\/(-4) + q\/(-4). Which is the biggest value? (a) 0.2 (b) p (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 9. Let z = i - 0. Suppose 5*q = -z*y - y + 520, 5*q + y = 528. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 4*h**2 + h - 8. Let t be y(2). Factor 30*z**2 - 17*z - 30*z - 45*z**3 + 5*z**t + 57*z.\nAnswer: -5*z*(z - 1)*(9*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6757 * -151.6.\nAnswer: -102.43612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1679365*w**2 + 3144*w - 109 wrt w?\nAnswer: -3358730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4 = -4*p, 4*p = -3*n - 3 + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*t**2 + 7 - 64*t**2 + 26*t - 7.\nAnswer: 2*t**2 + 26*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 5, -46, 1\/2, 2 in descending order.\nAnswer: 5, 2, 1\/2, 0.04, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-5)*(5\/(-2))\/((-4)\/(-8)). Solve -3 = 2*u + 3*a - 4, a - 11 = l*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2. Let b be j(2). Suppose -3*x - d - 3*d = -77, -4*x = b*d - 108. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -763806*d**2 + 140*d + 183 wrt d?\nAnswer: -1527612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1215298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**0*c*(c*(c\/(c\/(c*(c*(c\/c**2*c)\/c*c*c)\/c*c*c)*c*c))\/c)\/c)\/(c**(1\/4))**(-6\/11) assuming c is positive.\nAnswer: c**(69\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -1*sqrt(363))**2 - sqrt(363)) + (sqrt(363) + (1*(-4*sqrt(363) - sqrt(363)) - sqrt(363)))**2 - (-4*(-5 + sqrt(363) + 3) + -4)**2.\nAnswer: 341*sqrt(3) + 3614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 155\/54 <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 892 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 77957560?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 89 (b) -5\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**14*s**(2\/49) assuming s is positive.\nAnswer: s**(688\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 7:46 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3019 + -2)*(-120)\/(-84). Suppose -2*u + s = 3*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25474 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -4. Let g be ((-10)\/8)\/((-2)\/s). Let t(u) = u. Let j(l) = -l**2 - 7*l - 5. Let y(h) = j(h) + 2*t(h). Give y(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2692711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1459.68 - -1097\nAnswer: -362.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4718181 days to milliseconds.\nAnswer: 40765083.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5703127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 25*s**2 - 190*s - 4718. Determine f(-25).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from {r: 5, h: 2, b: 1, v: 7, m: 3}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2064 + 5541?\nAnswer: 10635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxgg when four letters picked without replacement from xgngxgx?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -241*d**6 - 2*d**3 - 9*d**2 + 8*d wrt d.\nAnswer: -28920*d**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -58 - -3?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - 38?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 737605*y**2 - 737603*y**2 + y - 126 + 2*y as u*y**2 + o + i*y and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 2\/25 (c) -0.4 (d) -472990\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0.000022. What is j rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*k + k + 59419 = -41066. Calculate the greatest common divisor of 84 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -390 + 199. Let b = 1287 + -1397. Let t = b - s. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 58*x**2 - 256*x + 297. What is g(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -19*p + 3. Is 13 a factor of i(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 9:22 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -a - 8. Let z = a + 10. List the prime factors of 47\/z + 9\/15.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 46818?\nAnswer: -1\/15606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - -599?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 73 = 6*f - 1117. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**3 - 2*p**4 + 3*p**3)*(1 + 4 - 3) + (0*p**3 + p**3 - 3*p**3)*(-2*p + 4*p - p).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4\/9 + 4*u**3 + 40*u**2\/3 + 176*u\/9 + 32\/3.\nAnswer: 4*(u + 2)**3*(u + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2060 and 6724940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*sqrt(171))**2*2 + 2*(4 + sqrt(171) + -1).\nAnswer: 6*sqrt(19) + 1032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -9131*l**2 - 25084*l - 44. Let n(f) = 1826*f**2 + 5017*f + 8. Let h(w) = -22*n(w) - 4*u(w). Find the second derivative of h(m) wrt m.\nAnswer: -7296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10*(-16)\/640 + 10\/(-8). Let l = -0.05 - 1.95. Which is the closest to t? (a) -7 (b) 0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -63 (b) -4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13288307 greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 7, -0.8, 0.36, -0.4, -401?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 858*y**2 - 17972*y - 966 = 0. What is y?\nAnswer: -23\/429, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5160 divided by 30?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6424\/9 - -714. Let p = -1\/41 + -36\/205. Which is the nearest to -3? (a) p (b) t (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 476 + -313. Let v = 184 - g. Calculate the remainder when 38 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - 1. Let v = z - -7. Suppose 7 = -2*j + v*c, -2*j = 3*j - 4*c. Solve 2*a + 4 + 4 = 3*q, -j*a = q + 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80993894263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y**3 - 3*y**2 - 6*y - 3. Let f(g) = 2*g**3 + g**2 + 2*g + 1. Determine 6*f(j) + 2*i(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11924 - -11946. Which is the fourth smallest value? (a) 2\/5 (b) 1\/3 (c) 14 (d) y (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3 + 10000*a**2 + 32128733*a + 32512825874 = 0 for a.\nAnswer: -3967, -2066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*r + 3*r + 19987. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -661, -2632, -5919, -10522?\n\"Answer: -658*o**2 + 3*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-2*j**2 + 3 - 3)*(12*j**2 + 2*j**2 - 5*j**2).\nAnswer: 36*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91 + -142. Let z be c\/(-45) + 1\/(-3). Let i = 2\/3 - 7\/6. What is the third smallest value in i, z, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -36. Is 17 a factor of (-2720)\/(-35) - t\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 5. Let w = 1 + j. Suppose 4*m - 198 = 3*q, -w*q - 194 = -5*m + m. What is the greatest common factor of 34 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -7, -97, 3, 19, 2.\nAnswer: -97, -7, 2, 3, 14, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 53 = 2*l. Let o be (-10)\/(-15) + l\/(-6). Suppose 18 = 3*r + o*z, r + 30 = 6*r + 2*z. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - l + 12, -l + 32 = 5*r + 2*l. Suppose -j - r*z - 2 = j, 0 = -j + 5*z + 6. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 14. Let l(k) = -k**3 - 10*k**2 - 7*k - 14. Let d be l(-10). What is the highest common divisor of d and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.89419 to two dps.\nAnswer: 5.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*(0 + sqrt(19)) + (-1*sqrt(931)*-2)**2.\nAnswer: -sqrt(19) + 3724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) 26 (c) 0.1 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -0.0748\nAnswer: -0.2244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 4*x**2 + 8*x - 4. Let h be u(5). What is the smallest common multiple of (-2)\/(21\/h + -2) and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(192))*-5.\nAnswer: -40*sqrt(3) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s**(-6\/11)\/s)\/s*s*s**(-2\/13)*s*s)\/(s**(2\/5)*s*s\/(s*s*s**(-3))))\/(s**(3\/4)\/s*(s*s**(-2\/9))\/s*s**(1\/4)*s**0) assuming s is positive.\nAnswer: s**(-12079\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 892177543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*s + s - 68191, 2*s = -3*w - 102294. What is w rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 12:53 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x + 4*x)*(0*x**4 + 0*x**3 + 2*x**3 - 6*x**4).\nAnswer: -24*x**5 + 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -0.0059167716?\nAnswer: -0.3940832284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y. Suppose 5*t + 173 - 1170 = -3*d, 3*d = 12. Let k(s) = -385*s**2 - 12 + t*s**2 + 190*s**2. What is c(k(u))?\nAnswer: 2*u**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*w - 39*w - 5*w**2 + 6*w**2 + 5)*(1 + 0 + 1).\nAnswer: 2*w**2 - 42*w + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 113\/4 + -779\/28. Sort 5, 3, p.\nAnswer: p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 15*h**5 - 19*h**4 + 4*h**3 + 3*h**2 - 3. Let r(s) = s**5 - s**4 - s**2 + 1. Let w(i) = -g(i) - 3*r(i). Solve w(a) = 0.\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*u**2 + 90*u**2 - 9*u**3.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 8:41 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 25. Suppose -4*f = k*f + 45536. Let x = f + 170671\/30. Calculate the common denominator of x and -73\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1033*f = -984*f + 294 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 36 + 0 = 0. Is -12 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/12 and -57\/370?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**2 + 651389*u\/5 + 130278\/5 = 0?\nAnswer: -1\/5, 130278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*i = 5*r - 33*i + 13, 0 = -r + i - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-2 + (0 + 0 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67945 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s - 34. What is o(-16)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5746220 divided by -30565?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97\/12 - 31\/4. Let m = -0.1 - 0.4. What is the closest to 0.1 in 5, n, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*s**6 - 15*s**4*y**3 - 11*s**2*y + 11*y**3 wrt s.\nAnswer: -1920*s**3 - 360*s*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 17356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 2*x**2 + 115 + 0*x**2 + 0*x**2 + 4*x**3 - 6*x**3 to t + w*x**3 + m*x**2 + l*x and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6910 = 57*w + 81*w - 42*w + 2206 for w.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 688c6 (base 13) in base 10?\nAnswer: 190456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84 - 133. Let n = p + 44. Let g(f) = -f**2 - 5*f - 5. Determine g(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.47073027\nAnswer: 0.94146054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 38*z + 34.\nAnswer: -38*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 484 a factor of 667188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 1368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 48 - a3331?\nAnswer: -a3294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51198 and 619941?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 15 - 5. Do i and -11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g. Let n(d) = 9*d + 5. Let a = 73 - 74. Let y(p) = a*n(p) + 2*u(p). Find the first derivative of y(h) wrt h.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 5*h + 2043. Let t = -1166 - h. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-4)\/(-10)*1) - (-13 + 14985\/1863).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6934 is divided by 154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 o when two letters picked without replacement from {v: 8, d: 2, k: 5, o: 1, b: 2}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*j - 11. Let n(r) = -6*r**3 - r**2. Let o be n(-1). What is the second derivative of 3*a**o + j*a**2 - 20*a**2 - 2*a - 5*a**5 wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 627 a factor of 10484365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 3, 1\/152 in decreasing order.\nAnswer: 12, 3, 1\/152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -4. Let t = -77 + 78. Put q, t, -4 in increasing order.\nAnswer: -4, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2833520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.023 (b) -9 (c) -4217\/5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2. Let g(q) = q + 1. Let o be g(1). Let l(i) = -o + 2 + 0*i**2 - 4*i**2. Give h(l(c)).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -151076185 or -151076187?\nAnswer: -151076187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-63)\/(-140))\/((-366)\/(-9455)) and -79\/6322?\nAnswer: 25288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - 29 - (80 + -121)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 10. Let j be w(-9). Let z = 14 + j. Solve 5 = 4*y - z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33219 and 36910.\nAnswer: 332190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17109, -34178, -51245, -68304, -85349, -102374, -119373, -136340?\nAnswer: -153269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = x - 7851, 3*x + 21 = 9. Let z = d - 3207\/2. Let i = -1839\/2 - -901. Find the common denominator of i and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3606305 (base 8) to base 6.\nAnswer: -33050125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, a: 4, f: 7}. What is prob of picking 1 f and 1 p?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79*k**5 + 312*k.\nAnswer: 1580*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o - 12. Suppose -r + 0 = o. What is the units digit of 2\/r - (-14)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9175, -36367, -81577, -144805?\n\"Answer: -9009*l**2 - 165*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30194025 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*y**3 - 91*y**2 - 40*y + 100 = 0. Calculate y.\nAnswer: -1, 10\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 1. Let a(j) = 5*j + 6. Let w(o) = 2*o**2 + 4*o + 4. Let b = 11 - 13. Let q be w(b). Suppose 0 = -2*i + q*i + 2. Determine i*a(c) + 3*r(c).\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 - 7*q - 2*q**2 - 17*q**2 + 11*q**2 + 7*q + 5*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 43, 71, 137, 235, 359, 503?\n\"Answer: -r**3 + 25*r**2 - 40*r + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**13*o*o**5\/o assuming o is positive.\nAnswer: o**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (16 + -5 + -11 - (10 - 12))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8, 41, 196, 517, 1064?\n\"Answer: 10*c**3 - 7*c**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6684405 and 20916?\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5244 by 11.\nAnswer: -5244\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/7)\/(i**(-3)*i))\/(i**11*i**(1\/4)) assuming i is positive.\nAnswer: i**(-263\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 750, 1510, 2270, 3030?\nAnswer: 3790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132823*d - 66519*d - 66308*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 9*o**2. Let m(w) = 13*w + 2. Calculate z(m(l)).\nAnswer: 1521*l**2 + 468*l + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1756344 and -47\/585448?\nAnswer: 1756344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -284 or -1427\/5?\nAnswer: -1427\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -514, -1, -4, 57, 5 in ascending order.\nAnswer: -514, -4, -1, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 9*s**2 - 9*s - 2. Let f be y(-10). What is the common denominator of (3\/(-30))\/(f\/245) and -16\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 5*k - 2*k)*(-3*k**2 + 0*k**2 - 8*k**2)*(0 + 5 + 12)*(0 - 2 - 5).\nAnswer: -2618*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohfhfhohrhhr. Give prob of sequence rh.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (1 - 0 - 1). Suppose -4 = u*q - q. Which is smaller: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1537120 and 2497820?\nAnswer: 19982560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*n + 50, 2*n + 12 = -2*n. Let f be (-14)\/21 - i\/(-6). Let b be (1 + f)*2 - -2. Is -2 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-56)\/(-21) + 14\/6 - -17?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 13*n**3 - 25*n. Let w(m) = 4*m - 3*m**3 + 4*m - 3*m + m. Let s(o) = 2*g(o) + 9*w(o). What is the tens digit of s(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 10:53 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*v = r + 11, 0 = -v - 1. Let p = r - -4. Let m be 0*((-26)\/(-8))\/13. Solve m = p*u - u - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9212.961 to the nearest one hundred.\nAnswer: -9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/((i*(i**(-3\/4)*i)\/i)\/i*i*i*i)*i))\/(i**(-3)\/i*i*i*i)*i\/(i\/(i\/i**(1\/13)))*i\/(i*i**(-4\/3)) assuming i is positive.\nAnswer: i**(703\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4310 - -4310. Let w = 29\/3 - 896\/93. Which is greater: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7382*j + 5227. What is the thousands digit of d(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 854 times -0.5\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(720))**2*-3 + (-5 + 1*sqrt(720))**2.\nAnswer: -7895 - 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23352271?\nAnswer: 17, 641, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10960892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 751350 - 3005235\/4. Suppose -5\/4*v**2 + m - 10*v = 0. Calculate v.\nAnswer: -11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16019655241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/12 + (-404)\/(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b**2 + 16*b**2 - 24*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-1 + -1) - 3) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/5)\/(4*6\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 7*y**2 - 7*y + 17. Let k be a(-5). Let b(j) = -j**3 + j**2 + j + 1. Let f(o) = o**3 + o**2 + o + 1. What is k*b(x) - 2*f(x)?\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*l = -12, 5*l + 6 = 2*k + 9*l. Sort 1\/15, 2\/9, -1, k, -2.\nAnswer: -2, -1, 1\/15, 2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12404169581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*d + 6\/5*d**2 + 44\/5.\nAnswer: 2*(d + 11)*(3*d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*z**3 + 24 + 44 - 40*z**3 - z**3 wrt z.\nAnswer: -171*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 4*o - 4*o)*(-22*o**2 - 13*o**2 + 55*o**2 - 7*o**3) - o**4 - 5*o**4 + 4*o**4 + (-o + o**3 + o)*(1 - 1 - o) - 3*o**4 - o**4 + 3*o**4.\nAnswer: -11*o**4 + 20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4119, -4128, -4137?\nAnswer: -4146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30, 23, 12, -3?\n\"Answer: -2*j**2 - j + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s. Let y(v) = -7*v. Let o(k) = 3*k + 16. Let r be o(-7). Let z(f) = r*i(f) + y(f). Let p(t) = 2*t. Determine z(p(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**6\/24 - 5*u**5\/12 - 5*u**4\/12 + 20*u**3\/3 + 8*u**2. Suppose q(h) = 0. Calculate h.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(8\/(-2))*130\/(-1560).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508086329?\nAnswer: 508086329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107672765?\nAnswer: 5, 31, 41, 16943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181 + 82*p - 181 - 4*p**3.\nAnswer: -4*p**3 + 82*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 8:54 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5\/737, 4, -5, -1, -62?\nAnswer: 5\/737","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 216201 or 1081008\/5?\nAnswer: 1081008\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261106575 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 7*g - 10*g. Let m(x) be the second derivative of 0*x**3 + x + 0 + 1\/2*x**2 - 1\/10*x**g + 0*x**4. Find the first derivative of m(c) wrt c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(100\/(-2154)) - (-290)\/3625. Is -69 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -95 + 149. Factor -11 + t*v**3 - 3*v**4 + 51*v + 17 + 12 + 45*v**2.\nAnswer: -3*(v - 6)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*5*(-980)\/(-1225)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - 14. Let n = 27 + b. Suppose x - 89 = 5*p + n, 0 = -2*x + 4*p + 204. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 15*p + 3. Let m be z(15). Suppose -q + 49 = m*y + q, -5*y = -q - 86. Suppose 6*j = -3*h + 2*j + y, 2*h - 2*j = 16. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9 - 16\/3*s**2 + 26\/9*s + 2*s**3.\nAnswer: 2*(s - 2)*(3*s - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 20 = -0*p. Let a be (-1 - 0)\/(p\/28). Suppose 3 = -l + a. Solve -11 = -l*n + 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2\/(-3)*-6)*348\/(-290)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*q = -98, -42 = 3*h - 5*h + 2*q. Calculate the smallest common multiple of h and 14 + -1*(3 + -1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68475190 to the nearest integer?\nAnswer: 8275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24\/133 + 2\/19. Let j be (2 + 0 - 0)\/2. What is the third biggest value in s, j, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -14*d**2. Let t be (-2*(-10)\/8 + -3)*-4. Let a(x) = -2*x**2 + 3*x**t + 176*x - 357*x + 181*x. Give v(a(j)).\nAnswer: -14*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 13*x + 6. Let v = 68 + -60. What is the lowest common multiple of t(v) and 18?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59152612.4 + 2919777?\nAnswer: 62072389.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-14) - (-301600)\/224. Suppose 24*f = 26*f - w. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a**2 + 34*a + 12. Does 6 divide c(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 16 = 3*w, 8*x - 6*x - 17 = -w. Calculate the highest common factor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 + s - 1. Let b be p(-3). Let n = 44 - b. Factor -4*z**2 + 15*z**4 + 18*z**3 - n*z**3 - 9*z**5 + z**2.\nAnswer: -3*z**2*(z - 1)**2*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**2\/2 + 2*g + 2. Let p be l(2). Suppose -4*c - 13 = -d, 169*d = 167*d - 6. Sort p, c, -22 in ascending order.\nAnswer: -22, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - 3 - (0 + 1). Suppose 2*o + 6 = l*v, -o - 4 + 1 = 3*v. Solve h + 4*w + 11 = v, -3*h + w + w = -9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 499*l = 544*l + 180. Let w(x) = 2*x - 6. Calculate w(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290943734 to the power of 1\/2, to the nearest integer?\nAnswer: 17057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 - 14*g**2 + 13*g - 2. Let n be u(6). Let a(k) = -2 - 2 + 0*k - 5*k. Let q(o) = -3*o + 2*o + 0*o - 1. What is n*q(r) - a(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*j**2 - 267*j - 37*j - 79*j.\nAnswer: 13*j**2 - 383*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*3*8\/8. Which is the nearest to p? (a) 1 (b) -0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**12\/(r**(10\/7)*r))\/(r**4*r*r**(1\/20)) assuming r is positive.\nAnswer: r**(633\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a (base 14) to base 15.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 - -136. Which is the nearest to -0.2? (a) o (b) 1\/6 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86.213 - 0.213. Let y = 79 - o. Which is bigger: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -1. Let o = 20.633 + -17.633. Which is the biggest value? (a) -0.2 (b) f (c) o (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31822.\nAnswer: 2, 7, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2 - (5 + -1)) + 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 4\/7, -49, 2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164 - 3608*r**2 - 3613*r**2 + 164 - 3604*r**2 + 14437*r**2 - 3608*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -1 + 7 + (35 - -2)*-1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 819 = 3*f - 3969. Let q be 1206\/(-2 - f\/(-796)). Suppose -719994 = -3*l + 3*r, 4*r = l + r - q. What is l rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**7\/1400 + x**6\/100 + 9*x**5\/200 + 19*x**3\/3 + 19. Let m(v) be the third derivative of g(v). Solve m(j) = 0 for j.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (26 - (-3 + 6))*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)\/m)**4)**(18\/7) assuming m is positive.\nAnswer: m**(-216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 1051*g**2 - 5*g - 25. Is j(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 2*i + 8 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6504?\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49502065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 9:16 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v + 45. Let y be t(6). Suppose 78 = -4*f - y*w + 1294, 4*f - 2*w - 1196 = 0. List the prime factors of f.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 495 + 661. Calculate the remainder when q is divided by 27.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 9. Let m(v) = -3. Let x(k) = -4*i(k) - 11*m(k). What is x(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -34, -127, -290, -529, -850?\n\"Answer: -s**3 - 29*s**2 + s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 223, 238, 255, 274, 295?\n\"Answer: s**2 + 12*s + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -13, 4, -18, -5, 1 in decreasing order.\nAnswer: 4, 1, 0, -5, -13, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 11*m**2 + 18*m - 82. Calculate the least common multiple of d(8) and 955.\nAnswer: 1910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*u - 1740009 = 0. Let c be u - (4 - (2 - -5)). What is c rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 0. Suppose 0 = -q - 4 + 8. Let o = -9 + q. Which is the second biggest value? (a) i (b) 2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(200) + 0)*3 + -6*(sqrt(72)*-4)**2.\nAnswer: -6914 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 7. Let b(v) = v**2. Determine l(b(c)).\nAnswer: c**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 4*l**2 - 3*l**2 - 7*l**2 + 30*l**2.\nAnswer: 23*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 742*l**3*s**3 - 2*l**3 + 6*l**2 - 7385*l - 127*s**3 wrt s?\nAnswer: 2226*l**3*s**2 - 381*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((-1672)\/66)*4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -36\/43, -0.5, -90, 2\/17, -0.1?\nAnswer: -36\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 91 + 332. Suppose l - 2*l = 2*c - g, 5*c + 2*l - 1057 = 0. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6650344, 1\/2, -4, -0.2 in descending order.\nAnswer: 6650344, 1\/2, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17665254 - -6975254. Round c to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27225 - -27241. Solve -s*u - 66 = 62 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -12577 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -309 + 317. What is the remainder when 22 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/108068 and 73\/243153.\nAnswer: 972612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8029, -16, -5.\nAnswer: -8029, -16, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -8) + (-2)\/2. Suppose 5*j + 10 = -4*o - 1, 5*o - 11 = 2*j. Sort 23, k, o.\nAnswer: o, k, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 2*g - 2, -g = g + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60943788 or -60943786?\nAnswer: -60943788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221, -223, -225, -227?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 351229729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -404, -825, -1246, -1667, -2088, -2509?\n\"Answer: -421*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 109, -59, -597, -1715, -3623, -6531, -10649?\n\"Answer: -35*f**3 + 25*f**2 + 2*f + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*1*-4 + (23 - 31))\/50?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 10 - 2 = -3*l, -2*n = l + 2. Let s be 2 - n - (0 - 3). What is the greatest common factor of 16 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1397433?\nAnswer: 3, 239, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((0 + sqrt(1088))*4)**2 - sqrt(1088) - sqrt(1088)) + ((1*sqrt(1088)*4 - sqrt(1088)) + sqrt(1088))**2)*3 - ((sqrt(1088) + -1 + 5)*5*-1)**2) + 0.\nAnswer: -1648*sqrt(17) + 76848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 37*s + 3. Let b(u) = -12*u - 1. Suppose -76*j + 255 = -61*j. Give j*b(m) + 6*f(m).\nAnswer: 18*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 + 89. Suppose -u + 21 = -21. What is the remainder when j is divided by u?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393 >= -503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 52 + 3*k - 18*k + 7*k. Let x be j(9). Let s(f) = 3*f + 85. Calculate the remainder when 48 is divided by s(x).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, t: 2, e: 1}. Give prob of sequence ev.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/24 - (-13)\/(-8)*-6. Suppose r - 59 = -5*a. Calculate the least common multiple of a and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g - 12. Let y be n(8). Let d = -45 + 55. Calculate the greatest common factor of y and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-7\/4)\/r*r)\/(r\/(r\/(r*r*r*r\/(r**(-22)\/r))))*(r**14)**(4\/3) assuming r is positive.\nAnswer: r**(-109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*n**2 + 75*n**2 + 29128309062 - 29128309044.\nAnswer: -2*n**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 12*d + 16. Let z be j(-13). Suppose -2 + 4 = -2*s. Let t be z - 2\/(-1 + s). Solve -1 + t = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 9. Suppose r + 50 = a*r. Let l be ((-12)\/r)\/(6\/(-45)). What is the greatest common factor of l and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*z**4 - 5*z**4 - 14*z**4)*(3*z - 1 - z - z).\nAnswer: -10*z**5 + 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -445780.1769 + 445822. Let d = a + -0.0231. Let p = d - 41.80342. Round p to four decimal places.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -998376?\nAnswer: 998375.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d. Suppose 3*s + 25 = 5*j, 17*j - 12*j - 2*s = 20. Let l(u) = 2 - 10 - 13*u**j + 0 + 3. Determine k(l(q)).\nAnswer: -26*q**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (5\/1)\/(46425\/1238)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115 and 7946655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 139\/1136, 1 in ascending order.\nAnswer: -2, 139\/1136, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**4 + g**4 + g**4 + (0*g**3 + 3*g**3 - 2*g**3)*(2*g - 5*g + 2*g) - 3*g**4 + 6*g**4 + 2*g**4 + (-4*g**2 + 2*g**2 + 3*g**2)*(-g**2 + 5*g**2 - 2*g**2).\nAnswer: 5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3*h + 6, 2*x - 3*h + 102 = 104. Solve 5*p + 12 = p, -x*u - 3*p + 3 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {q: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 18*j - 445. Let f be n(24). Let i = -3.858 - 0.142. Which is the second smallest value? (a) -2 (b) -5 (c) i (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4332*s**2 + 3*s + 4330*s**2 - 8650*s**2 + 2*s**2 + 2*s**2 - 8*s**2 + (0 + 0 - s)*(-1 - 2*s + 1).\nAnswer: 10*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 160\/9 - 1156\/63. Let p = 0.4 + 3.6. Which is the smallest value? (a) p (b) t (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2156 - 646. Let h = -815 - g. Is h a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*p**3*x**4 + 20*p**3*x**2 + 74*p**3 - 8*p*x**2 - 2*p*x - x**4 - 27127*x**3 wrt x?\nAnswer: 1104*p**3*x - 24*x - 162762","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 7*d**2 - 6*d + 8. Let l be (17\/34)\/((-62)\/(-32) - 2). Give q(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -5*g**7\/224 - 19*g**6\/96 - 2*g**5\/5 - 3*g**4\/8 - 23*g**3\/6 + 20*g**2. Let j(p) be the first derivative of l(p). Factor j(k).\nAnswer: -3*(k + 3)*(5*k + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 - 17249594.\nAnswer: -17249592.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 35, -4, 3 in ascending order.\nAnswer: -8, -4, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 2*l + 2*l)*(1 - 1 - 5*l**2) + (-l + 3 - 3)*(-3*l**2 - 3*l**2 + 2*l**2).\nAnswer: -21*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44? (a) 2\/9 (b) -0.1 (c) 1\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6*k - 3*w = 0, 2*k = 3*w - 3. Let p = -4 + 1. Let s = -0.48 + -0.02. Which is the second biggest value? (a) p (b) k (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 164 and -0.0109.\nAnswer: -1.7876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyu when four letters picked without replacement from {y: 13, u: 3}?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9465 - 4261989824.\nAnswer: -4261989823.0535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**5 + 30*o**4 + 115*o**3 - 480*o**2 - 560*o = 0. What is o?\nAnswer: -4, -1, 0, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**4\/6 + 2*s**3\/3 + 3*s**2\/2 - 2592*s. Let b(f) = -3*f**2 - 7*f - 7. What is -4*b(r) - 7*k(r)?\nAnswer: -2*r**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k - 1013*k**2 + 1924 + 132*k**2 - 1920 wrt k.\nAnswer: -1762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 4*j - 2. Let w(d) = 4*d - 3*d + 2*d - 1. Let k be (-1)\/((-2 + 3)*1). Let i be w(k). Calculate c(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15354500 divided by -153545\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -1 - (45 - (26 - -10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601 is divided by 61.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3684.224 - -3683.1. Is j less than or equal to -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 6:43 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 2*b**2 + 2. Let f be u(-2). Let d(v) = -2 + 3*v**2 + v + 2*v**f - 2*v**2 - 2*v**2. What is d(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0. Suppose -a + 5*a - 16 = f. Suppose -a*b - 10 = -18. Solve 25 = -5*v, 3*l + 2*v = -b*l + 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (4 - 5))*(7 - 0). Let u be n\/(3*(-4)\/1896). Suppose u + 238 = 4*f. Is 56 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(m\/m**(-1\/2))\/m*m*m**(-1)*(m\/(m\/((m\/(m**1\/m))\/m*m)))**47 assuming m is positive.\nAnswer: m**(97\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9134 + 9132. Let t = -1.1 - 2.9. Suppose 5*n - 3*n = 0. What is the nearest to n in -0.2, b, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + u + u**2 + (2*u + 4*u - 4*u)*(u - 2*u + 3*u) + 4 - 5*u**2 - 4 - 36*u + 3*u**2 + 0*u**2 + 34*u.\nAnswer: 3*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2269410?\nAnswer: 2, 3, 5, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 7) to base 15\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 13*n**3\/6 - n**2\/2 + 2*n. Let x = 5 + -4. Is 12 a factor of y(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 21*c - 89. Give k(-27).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + n + 52. Suppose -15*f + 10*f + 1125 = 0. Suppose 7*m - f = -43. What is the greatest common divisor of n and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 6*h + 2. Let c be (2 + -2)*(-1)\/(-2). Let a = c - 6. Let g be q(a). Solve -g*b - 3 + 11 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43593 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1019*m - 936*m = 83. Suppose 6 = 5*b - 4*h, -5*b - 14 = -h + 2*h. Let n be -2 + 2 - b\/12. Which is bigger: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 3:29 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*a + 8, 3*a - 1 = -5*g + 3. Factor 0 + 1\/3*r**4 + 1\/3*r**2 + 2\/3*r**a + 0*r.\nAnswer: r**2*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2072, -2077, -2086, -2099, -2116?\nAnswer: -2137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/(-2))\/(3\/(-6)). Let b = 1604 - 1608. What is the units digit of 199 - (4 - l - b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times 20406.89?\nAnswer: -612.2067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 656*z**5 + z - 553.\nAnswer: 13120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at most 2580345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25117 (base 10) to base 6.\nAnswer: -312141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 9585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -36022.\nAnswer: 36025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*u**6 - 7*u**2 + 18*u wrt u?\nAnswer: 4080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 814763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (4\/16)\/(10\/(-8))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1024673 or -1024702?\nAnswer: -1024673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.955 + 0.015. Let t = -0.03 - q. Let h be ((-1)\/3)\/(5 + -10 + 4). Which is the closest to t? (a) h (b) 2\/3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 449?\nAnswer: 5\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 4. Let b be q(9). Suppose -2*h = -b*h. Solve 2*x + 2*x - 8 = h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 749*m**4 - 1569*m**4 + 863*m**4 + 47*m**2 + (0*m**2 + 0*m**2 + 2*m**2)*(2*m + m**2 - 2*m) + 2*m**4 - m**4 - 2*m**4.\nAnswer: 44*m**4 + 47*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036986782 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/7 of a week in minutes?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.426355 + -2.\nAnswer: -4.426355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -38627880 divided by -965697\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-860)\/(-40))\/((((-8)\/(16\/1))\/(-1))\/2)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*i = 4*r + 95*i - 8, -3*r + i + 2 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -184*t*w - 210*t - 16*w + 7 wrt w?\nAnswer: -184*t - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 61350114 divided by -2\nAnswer: -30675057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 60 = -4*o, -4*o - v = -6*o + 30. Suppose 2*u - 21 = -3*k - u, 3*k = -2*u + 20. Solve -o = -k*j + j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1.265316 grams?\nAnswer: 0.001265316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, r: 1, l: 5, f: 3}. What is prob of picking 1 l and 1 r?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/54605 and -13\/15648.\nAnswer: 5242080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188010, 188139, 188268, 188397?\nAnswer: 188526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v - 31. Let l be a(-12). Solve l*g - 22 = -37 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 964 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + sqrt(7) + (sqrt(175))**2).\nAnswer: -850 - 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1123 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7959 + 47551\/6. Let g = -34 - r. Which is the third biggest value? (a) 3 (b) -5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 27048 (b) -1\/3 (c) 2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -129629*f**4\/4 + f**3 + f**2 - 4*f - 4. Let c be ((-2)\/4 - 1)*2. Let a be b(c). Round a to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 81476 and 81484 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19433 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 12:39 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, d: 2, l: 2, x: 8}. What is prob of sequence ddqx?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 731 is divided by 70.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000959 to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*x + 106*x = 1449 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/79 in 1, 7\/4, -4, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-46)\/56 - (-4)\/(-2) and -107\/18.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68654425 and 2553.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 488.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96.21 - -10.79. What is the third smallest value in 0, c, -7, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -178725 equal to -178725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(5\/2)\/l)\/(l\/(l**(-6\/7)*l)*l*l)*(l*l**0)\/(l\/(l**(2\/25)\/l)) assuming l is positive.\nAnswer: l**(-797\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4 + (2 - 3 + 2)*(0 + 2 - 1))*(-15*m + 5*m + 2 - 16*m).\nAnswer: -52*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 + 334464*u**2 - 18056682*u + 243745524.\nAnswer: -2*(u - 167178)*(u - 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 0, 4, 56, 10, 2 in decreasing order.\nAnswer: 56, 24, 10, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1785401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/((-27)\/(-18)))\/((-4)\/18178). Let x = v - 3946. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2160172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(80) + -4 + 5)**2*-5.\nAnswer: -405 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 15 = -5*d. Suppose -5*g + d = 28, j - 40 = 3*g. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1550*m = -975*m + 9687*m + 186212 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 5*c**3\/3 + 1695*c**2 + 574605*c + 2080. Determine q so that h(q) = 0.\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, s: 8, m: 1, h: 1}. What is prob of picking 3 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) - (1*sqrt(384) - sqrt(384)))\/(sqrt(56)\/sqrt(7)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.4176 rounded to the nearest integer?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 1:15 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 185*w + 176 = -187*w + 57, 3*z = -w + 107 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29\/6 - -13\/3. Let v be 1086\/(-9)*(-102)\/(-28588). Let m = -2\/1021 - v. Which is the nearest to z? (a) 3\/5 (b) m (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12126 or -0.062?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17900 and 148212.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/1480 and 67\/128.\nAnswer: 23680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -3)*1\/2. Suppose -4*n + d*z - z = -4, 3*z - 12 = 4*n. Solve -b = n, x + 2 + 1 = -2*b for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -84, -0.049, 7\/2, 2, -3, 13, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111000 (base 2) to base 9.\nAnswer: -376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -936 + 936.001494. Round u to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217864, -217865, -217866?\nAnswer: -217867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(45) + sqrt(45))*-5)**2 + sqrt(720) + -4.\nAnswer: 12*sqrt(5) + 10121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 132 - 128. Let z(j) be the first derivative of 0*j**a + 0*j**3 - 2 + 0*j**2 + 6*j + 6\/5*j**5. What is the first derivative of z(s) wrt s?\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 7 = -3*z. Suppose 0 = -4*i + z + 17. Suppose -i = -4*q + 18. Solve 3*l = l - q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by 2.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/(308\/231).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165017.\nAnswer: 47, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32134950 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -458931529*g*s**2 + 5*g - 74234098*s wrt s.\nAnswer: -917863058*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, m: 5}. What is prob of picking 4 m?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(76)\/sqrt(4) + 2 + -5*sqrt(57)\/sqrt(3).\nAnswer: -3*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**12*c*c\/c**(3\/8)*c**4\/(c*c*c*c*c*c\/(c\/(c**(-5\/3)*c))*c*c) assuming c is positive.\nAnswer: c**(295\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 11, h: 5}. Give prob of sequence jhh.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -200112122 (base 3) in base 14?\nAnswer: -4cd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31421 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -40*x + 36*x + 49, 3*q + 4*x - 31 = 0 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 415726641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -112614?\nAnswer: -112607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222031 (base 6) in base 14?\nAnswer: 2cad5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1393 times -132?\nAnswer: 183876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*o**3\/3 + 1022*o**2\/3 - 5329*o\/3.\nAnswer: -o*(7*o - 73)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/4568 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -97 times -766142\nAnswer: 74315774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -122 - -122. Suppose -2*s = -s - 1. Let g be ((-2)\/10 + h)\/s. What is the closest to -4 in 0.3, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.2 + -0.2. Let v = 1.43 - -0.57. Which is the fourth biggest value? (a) w (b) v (c) -5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - -10. Let t be (-6)\/(-4)*g\/18. Solve 0 = -a + t*l + 7, 9*l - 4*l + 16 = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 983*c = -30899 - 15119 + 11234 - 10434 for c.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 17 - 5\/2*m**2 - 2*m. Let b(h) = h**2. What is z(b(r))?\nAnswer: -5*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 1173?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3860276?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -136.6621 + 0.0621. Let g = 137 + s. Which is the nearest to 0.7? (a) 4 (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4779 = 224*v + 3280 + 6207 + 5222 for v.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**6\/9 + 2*c**5\/15 + 9. Factor m(b).\nAnswer: 2*b**4*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + 2 + sqrt(637) + sqrt(637))**2 + -4 + (sqrt(637) - (0 + 0 + sqrt(637) - sqrt(637)))**2 + -1)*6*-5.\nAnswer: -191070 - 2520*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 9*a + 3. Let o be z(-9). Let g be -2 + (-1 + o)*2. Solve 0 = -2*h - g*h + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 347 - 5517\/16. What is the common denominator of 25\/2 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 44.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3169*x**3 + 3954*x**2 wrt x?\nAnswer: 19014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a - 1 + a**3 - 3*a**2 - 5*a. Let r be v(4). Let d be (-3)\/(-15) - 6\/r. What is the nearest to d in 0.1, 3, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 14*l**3 - 2*l + 1. Is d(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 847\/110)*(-96)\/104?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 12 = -3*c. Suppose 3*m + c*t - 41 = 0, -3*t - 69 = -m - 2*m. Calculate the remainder when m is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*m**3*o*q**2 + 28*m**3*o - 178*m**3*q**2 - 4*m**3*q + 3*m*o wrt q?\nAnswer: 30*m**3*o - 356*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 231269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 113*a + 144. What is the thousands digit of i(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1411 divide 922815165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 410 = -11*w. Suppose -10 = -d - c, 4*d - w = -d - 2*c. Solve d*m - 4*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*m = 65*m + 6. Suppose 3*v - 5 - 1 = 0. Suppose m*t + v*t = 144. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75.5 + -194657664.3.\nAnswer: -194657739.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = 4. Suppose r - 10 = f*r. Let p = 1.8 - 2.1. Put r, p, -3 in decreasing order.\nAnswer: p, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/2739 and 47\/69.\nAnswer: 62997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {x: 5, e: 7, z: 1, k: 2, b: 3}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 1:06 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.0336 - -0.0336. Which is the biggest value? (a) -18 (b) 6 (c) m (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 less than 12\/1937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 340040106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -14*j**3 - 2*j**2 - 7*j - 4. Let o be g(-1). Solve -2*w + 7*w + o = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**3 - 101*l**2 - 68*l - 349. What is u(21)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 77131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -405 divided by -135?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.428602*6.\nAnswer: -20.571612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6*w + 8*w + 11*w + 8*w - 15*w. Let a = -7 + 16. Let d be a\/(-6)*2 + 1. Calculate c(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -164*m - 160*m - 30 + 326*m + m + m - 4*m + (2*m + 6*m - m)*(-2 - 1 + 4).\nAnswer: 7*m - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37535740?\nAnswer: 2, 5, 11, 61, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-45240)\/1450*(-15)\/4 and 1572.\nAnswer: 61308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 108 - 240. Suppose 4*u = t - 3, -u + 6*t = 3*t - 2. List the prime factors of (u\/3)\/(2\/w).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -30. What is the least common multiple of h and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.58 + 4.72. Let g = 5 - j. Let m = 142 - 140. Which is the biggest value? (a) g (b) m (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a - 80. Let p be z(-14). What is the third derivative of -2*c**3 + 6*c**2 - 3*c - c**4 - 4*c**4 + 9*c**4 + 4*c**p wrt c?\nAnswer: 192*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32372\/65 - -498. Does h = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50493258473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 9 = -3. Suppose 4*c = p*z - 230, 5*z - c = 3*c + 545. What are the prime factors of z?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**(-1\/3)*u**(-6\/11)*u*u*u**2*u assuming u is positive.\nAnswer: u**(136\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 273591426?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11734 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*h = -40, 3*z + 12 = 4*h - 82. Let n = z - 13. Let k = -23 - n. What is the greatest common divisor of 16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 27984 = -y, -3*o - 5*y - 28008 = -7*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3)\/16*5*(-16)\/(-40)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -78, -182, -328?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 18*c + 32. Let q be l(16). Solve -2*z + 11 - 5 = q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14794 - 2383 - 13813 + 5146 = 994*j for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**6\/180 + 7*m**5\/120 + m**4\/6 - m**3\/3 + m. Let r(k) be the second derivative of u(k). Determine r(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(2\/7)*((n**(-4)*n)\/n)\/n)\/(n**5\/(n*n**4)))**12 assuming n is positive.\nAnswer: n**(-360\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -781, -1226, -1659, -2074, -2465, -2826, -3151, -3434?\nAnswer: -3669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92588612?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, j: 1, w: 2, i: 1, r: 4}. What is prob of picking 2 r, 1 j, and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 0, -59, -142, -249, -380, -535?\nAnswer: -714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3 - 5*z + 1866*z**3 + 0 - 1910*z**3 - z**2. Let r be k(-1). Calculate the highest common divisor of 45 and r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49166750 divided by 24583375.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.6949 rounded to two decimal places?\nAnswer: -6.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x. Let w(j) be the second derivative of -j**6\/120 + j**4\/3 + 7*j. Let a(d) be the third derivative of w(d). Determine a(r(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5333*y + 4879*y - 15536*y + 5323*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**4\/12 - m**3\/2 + 2*m**2 - 2*m. Let d(i) = i**2 + 4*i - 3. Let c be d(-4). Calculate v(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14860424 is divided by 309?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6201, -9488, -12775?\n\"Answer: -3287*n - 2914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 2)*(-2*t + 0*t + t)*(1 - 9 + 30)*(12 - 1 - 7*t**3 + 0).\nAnswer: 154*t**4 - 242*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 8. Let o be n(-7). Let r(v) = v - 1. Let b(k) = -10*k + 2. Let x(i) = o*b(i) + r(i). What is the units digit of x(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**2 - 157*i + 9400. Calculate n(-72).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 3. List the prime factors of t.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + (sqrt(8) - (sqrt(8) + (3*sqrt(72))\/sqrt(9))))\/(sqrt(20)\/sqrt(180)).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - 30*k - 28. What is q(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 3*g = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2621*z + 191*z - 3267*z + 1129*z.\nAnswer: -4568*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2 = -6, 5*f = 5*u - 135. Let o = f + 29. Solve -4*z - 2 = q, z - 5*z - o*q = -2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, l: 1, e: 3, h: 4, s: 2, y: 2}. What is prob of sequence ls?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 385 = 384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 238, -81, -428, -815, -1254, -1757, -2336, -3003?\nAnswer: -3770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10434 + 32?\nAnswer: -10402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i - 11. Let p be h(-5). Suppose p*z - 10 = 2*z. Suppose 2*o - z*o = -90. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11072708 - 0.704.\nAnswer: 11072707.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 3*y - 40 - 77 = 0, 2*d + 10*y + 30 = 0 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (48\/9 - 5) + 329560\/42?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14*(-5)\/15*9. Let a = f + 213\/5. Factor -9\/5*n**3 + 12\/5*n**2 - a*n + 0.\nAnswer: -3*n*(n - 1)*(3*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2 (b) 0.1 (c) -1 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**6 + 26293*k**5 + 2*k**3 + 27036*k**2 - k - 1 wrt k?\nAnswer: -240*k**3 + 1577580*k**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 divided by -2626152?\nAnswer: -31\/1313076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/(-69)*(-66)\/(-8)*2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.185 - 0.485. What is the second smallest value in 3, w, 2\/71?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = 2*x + 4*y, -3*x - 3*y = 0. What are the prime factors of (2\/x)\/((-1)\/(-58))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2275796 is divided by 14680.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-6))\/1 + (-8)\/(-24). Suppose -4*h + 32 = 5*b - o*b, 3*b = 3*h + 3. Solve h*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 770868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 139*n**5 + 107*n?\nAnswer: 2780*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 15 = 0, -4*u - 238531 = -2*v + 188143. Let g = 46666 + u. Round g to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2554 - 2527. Suppose -2*q = -0*q - 90. Calculate the least common multiple of k and q.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*g**4 - 103968*g**2 + 304*g**3 + 15803136*g - 900778752.\nAnswer: -(g - 228)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w**3 + 50*w**2 - 50*w**2.\nAnswer: -21*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82929922*g**3 - 418055355*g**2 wrt g.\nAnswer: -497579532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/43? (a) -0.1 (b) -5\/4 (c) -4 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -878, -2510, -4906, -8066, -11990, -16678, -22130?\nAnswer: -28346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -487, -482, -467, -436, -383, -302, -187, -32?\n\"Answer: v**3 - v**2 + v - 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7846439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*z**2 - 5*z**3 - 3*z**2 - 3 + 3 to n*z + t*z**3 + b*z**2 + i and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35264787*a**2 - 36890425*a wrt a.\nAnswer: 70529574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, -3, 4\/9, -9\/98, -2\/3 in decreasing order.\nAnswer: 4\/9, 0.14, -9\/98, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8000508*j**2 + 3*j - 1361071 wrt j?\nAnswer: -16001016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5801\/1 + (140 - 137)?\nAnswer: 2, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**4\/12 - 169*j - 2. Let l(o) = 439*o + 1. Determine x(l(m)).\nAnswer: -192721*m**2 - 878*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19.8 and 0.2?\nAnswer: 3.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4977931, -9955907, -14933873, -19911823, -24889751, -29867651?\nAnswer: -34845517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169, -351, -571, -847, -1197, -1639, -2191, -2871?\nAnswer: -3697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 l when three letters picked without replacement from {l: 6, r: 12, u: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (30\/(-8))\/(9 - (-7492)\/(-832)). Let d = n + -507. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 1199144.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1480*p**5 - 2*p**4 - 86*p**3 + 62*p**2 + 706*p + 4 wrt p?\nAnswer: 88800*p**2 - 48*p - 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 6. Suppose 3*v + 3*y = c, -2*v + 3*y = 2*v - 25. Solve r = v*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -436*u. Let g(d) = 36*d**2. What is g(q(i))?\nAnswer: 6843456*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1992 divided by 2\nAnswer: -996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 694343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-10)*(-3)\/(63\/10)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 6, -6, 1\/6, 1 in decreasing order.\nAnswer: 6, 1, 1\/6, -1\/9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/130*(1 + 276\/(-16))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 34*j**2 + 68*j + 69. Let l be v(36). Sort -54, -5, -3, l in decreasing order.\nAnswer: -3, -5, -54, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**3 + 548*v**2 - 15788*v - 16340 = 0. What is v?\nAnswer: -1, 43, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) -5\/4 (c) -988 (d) -2 (e) 2\/29 (f) -288\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -16*c**4 - 104*c**2 - 2102*c - 6. Let u(s) = -3*s**4 - s**2 - s - 1. Let r(o) = l(o) - 6*u(o). What is the second derivative of r(m) wrt m?\nAnswer: 24*m**2 - 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 3*t - 3*t - 20 = -3*t, 0 = 2*y + 10*t + 260 - 268 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f - 36. Let n(r) = -3332*r + 3331*r - 3 - 4. Let w(q) = -2*m(q) + 11*n(q). What is w(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1318\/7 - 188. Which is the closest to -1? (a) -0.4 (b) -1 (c) h (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i - 4. Let d be q(-2). Let y(a) = 2 - d - 51*a + 0. Let l be y(6). Round l to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 r when four letters picked without replacement from rrjrjpjprrpjjp.\nAnswer: 50\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 8*o**2 - 6*o + 1. Let x be f(-7). Let r be (x\/(-16))\/(60\/(-144)). Which is bigger: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 1\/2*k**2 - 3 + 0*k. Let m(y) = 4*y. What is -5*a(t) + m(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 63075 + 10?\nAnswer: 63085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -820, -478, 464, 2306, 5348?\n\"Answer: 50*s**3 - 8*s - 862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/6)\/((-17)\/51). Let r(v) = 4*v + 4. Let t be r(h). Solve 0 = -4*k - t*k - 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - v)*(3 + 4*v - 3) + (-2 + v + 2)*(3*v - 2*v - 2*v) - 1 + 1 - 2*v**2.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 a when two letters picked without replacement from mamaaaam?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 111.6 or 8.0838?\nAnswer: 111.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**4\/12 - z**3\/6 - z**2\/2 + 11*z. Let r(y) = 11*y**2 + y. Let f(c) = d(c) + r(c). Differentiate f(q) wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -25*j**2 + 2. Let l(t) = -1433*t. What is l(c(g))?\nAnswer: 35825*g**2 - 2866","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 9*h**2. Let y(b) = -9*b - 47. Let f be y(-6). Let s(p) be the first derivative of -p**3 - 1. Determine f*s(t) + 2*i(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.22, -12, 1.7 in decreasing order.\nAnswer: 1.7, 0.22, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1302\/(-155))\/((-16 - -13)\/(-12) + 14\/(-8)).\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2481539 is divided by 48?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22877094?\nAnswer: 2, 3, 89, 42841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71896235 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -2\/13 (c) -974 (d) -4 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -126 + 86. Let a = 56\/79 + -6781\/316. What is the common denominator of a and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2710893 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -374562, -374563, -374548, -374511, -374446, -374347, -374208?\nAnswer: -374023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 421 smaller than 283119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6420 and 670.\nAnswer: 430140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/21, 2\/3, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 2:47 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 1. Let w be a(4). Suppose -3*i - 20 = c, -w*i + 2*i = -5*c - 136. Let d = -10 - c. What is the smallest common multiple of 20 and d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1986 (base 13) to base 16\nAnswer: ef4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*f + 24*f + 41*f + (-4*f + 4*f + f)*(1 + 0 + 1) + 0*f - 7*f + 3*f.\nAnswer: 53*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 251649?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -24, 2, -1, 0.1, 45?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -k - 2*i, 0 = -3*k + 11*i - 13*i + 14. Solve -c + k*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 4 - 1\/20*o**5 + 1\/20*o**6 - 3*o**3 + 0*o - 2*o**2 + 0*o**4. What is the third derivative of b(i) wrt i?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 4. Suppose 0 = -5*r - 2*t + 13, -4*t = -2*r - 2*t + 8. Let p = -3361 + 3361.4. Which is the nearest to r? (a) h (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**3 + 705*b**2 + 21375*b + 185915 = 0. What is b?\nAnswer: -103, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -554, -2812, -7696, -16124, -29014, -47284?\n\"Answer: -153*c**3 - 395*c**2 - 2*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 2*f + 6. Let r be q(-4). Let v be 24\/16 + r\/(-4). Suppose d - v = 2. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1300, -2605, -3912, -5221, -6532, -7845?\nAnswer: -9160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 33*k + 1035. Let c(b) = -8*b + 3. Let m be c(5). Let w = m - k. What is the highest common divisor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62797.07657 to the nearest one thousand.\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b = 18*b - 12. Let n = b + 9. What is the second derivative of 76*v - n*v**3 - 27*v - 26*v wrt v?\nAnswer: -90*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*p**3 - 14*p**3 + 39*p**3.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 69668 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*(sqrt(114) - (sqrt(114) + sqrt(114)*1))*6)\/(sqrt(294) + sqrt(294) + (sqrt(294) - -2*sqrt(294))*6 + -1*sqrt(294)*-2).\nAnswer: 108*sqrt(19)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1288*t**4 + 590*t**3 + 3*t**2 + 3263463*t wrt t.\nAnswer: 15456*t**2 + 3540*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * -7.2.\nAnswer: 122.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-112)\/20)*36\/(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 2*d - 141, 5*x + 3*d = x + 117. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000103 to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.417 and -366103150394.\nAnswer: -366103150393.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2*u - 328 = 0. What are the prime factors of u?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 9. Let v = -2576 - -2590. What is y(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1080\/300)\/(((-2109)\/(-10))\/(-37)).\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56638*d**3 + 28273*d**3 + 28362*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**(-10))\/p)\/p**(-16) assuming p is positive.\nAnswer: p**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -0*x - 2*x - 4*t, -3*x + 3*t = -3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 858621 = 5*q - 3*o, -515175 = -3*q + 3*o. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291665751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*x + 302*x**2 - 51*x - 135*x**2 - 156*x**2.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/5 - (-3)\/((-45)\/(-102)). Let o(w) = 191*w**2 - 9*w + 9. Is o(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2046 and 2646930.\nAnswer: 82054830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/2088 and -103\/291000.\nAnswer: 25317000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p - 3*s - 2 = 0, 6 = -3*p + 3*s. Is (147\/12)\/(p\/(-4)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, v: 1, e: 1, b: 1, j: 1}. What is prob of picking 1 b, 1 s, and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -10*g**3\/3 - 53*g**2 + 8480*g. Determine b(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (7 - (-1 - -5)) - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 + -49. Suppose -j*s = 11*s. Which is greater: s or -1\/38?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6*n + 11*n + 1150 = 0, 4*s + 2*n + 922 = 0. Let r = -229 - s. Solve -r*d + 5 = 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 7*u**2 + 7*u + 9. Let f be l(-6). Find the third derivative of 3*h**5 - 2*h**4 + 2*h**4 - 6*h**2 + f*h**2 wrt h.\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/4 of a hour?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 677436017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 765 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l. Let y(m) = 372956993 + 13749*m - 372956993. What is y(g(i))?\nAnswer: -13749*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 13. Let i be ((-1)\/k)\/((-3)\/36). Suppose 3 + i = 3*n. What is the biggest value in -2\/7, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nknnuvr. What is prob of picking 1 k and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j - 2. Let l(g) = 89*g. Calculate c(l(d)).\nAnswer: 178*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 1:25 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0\/3)\/((4\/2)\/2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 137 + -71. Let w = a + -63. Suppose -w*l + 109 = -2*l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.9686 to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -372704384 - -372704312.9999862. Let p = t - -71. Round p to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12773 - -12775. Solve -3*z + 6 = b*k, -3*k - 20*z + 23*z - 6 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a factor of 7600824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*r - 48. Suppose 2*o + 5*t + 29 = 0, -o + 3*t + r = -2*o. Does 12 divide (-2)\/o + (-166)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (228756\/233955)\/(4\/(-10))?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejjjjjepejjjjjj. What is prob of sequence jpj?\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2036 + -2011. Which is bigger: 2\/15 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u = 40. Let q(n) = -n**3 + 9*n**2 + 11*n - 12. Let m be q(u). Does -3 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*f + 5*f - 4*f)*(-1 + 4 - 5) + 2*f + 3*f + 2*f)*(5 - 1 - 3).\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -961 - 2276 = -249*k for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.082, -22, 5, -1371\/5, -0.4 in decreasing order.\nAnswer: 5, 0.082, -0.4, -22, -1371\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by -597.\nAnswer: 70\/597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/1403 + -4199\/7015. Sort 846, 2, f in increasing order.\nAnswer: f, 2, 846","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -849 + 906 + (10 - 79).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71128?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1282 is divided by 318?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 6*o + 3*o = -9, -20 = -4*o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 786, 1581, 2384, 3201, 4038, 4901, 5796?\n\"Answer: x**3 - 2*x**2 + 794*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -x**4\/2 - 16*x**3\/3 + 19*x**2 - 20*x - 126. Find q such that o(q) = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221758?\nAnswer: 2, 110879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-235*y - 240*y + 477*y - 74)*(-68 + 68 - 5*y**2) as z + x*y**3 + r*y + j*y**2 and give j.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l**4\/3 - 52*l**3\/3 + 16*l**2 = 0. Calculate l.\nAnswer: 0, 6\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 53054 to the power of 1\/2, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 321 (b) -3 (c) -55\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.052?\nAnswer: 0.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2922 divide 20521716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8410.74843 - 8411. What is b rounded to 3 dps?\nAnswer: -0.252","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*g + 50965 = -0*a, -2*a + 2*g = -20386. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 9. Suppose -3*k = 2*h - 17, 2*h - 12 = -0*h + 2*k. Suppose -h*f + 6*f + 80 = 0. Calculate the remainder when f is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8)\/((-87)\/3132)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 572807 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.46 - -0.16. Let d(u) = 31*u - 605. Let h be d(20). What is the biggest value in j, 2, 3\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/9121519?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from vvttblyyp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*f - 2174, -3*f - 5*p = -650 - 2606. Suppose 4*n - f = -278. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2928514 divided by 49?\nAnswer: 2928514\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 - 15*u + 27. Let g = -75 - -77. Let z be j(g). What is the greatest common factor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2240082242 - 68331468683993\/30504. Let a = 35\/984 + n. What is the common denominator of a and 79\/6?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/4*j + 3\/8*j**2 + 27\/8.\nAnswer: 3*(j + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105 and 3045?\nAnswer: 3045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-121) - 64\/(-11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 73. Let q = y + 22. Calculate the remainder when q is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84.37 - 84.17. What is the closest to -68 in v, 4\/3, 2, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26785 + -2383907\/89. Find the common denominator of f and -37\/2.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122889 to the power of 1\/2, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-1*sqrt(4840)*-6)\/((sqrt(96)*2*-4)\/(1*sqrt(588))))**2.\nAnswer: 6670125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -129*m**3 + 2*m**2 - m - 4. Let d(n) = n**3 - 3. Let j be d(0). Let y be x(j). Is (-4)\/6 - y\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 72 = -2*y - y, 0 = 2*y + c - 50. Suppose 76 = 5*a + y. Suppose 2*k + a = 3*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21031\/2 or -1?\nAnswer: -21031\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6618*v**5 + 262*v**3 + 6*v**2 + 108559282*v wrt v?\nAnswer: 132360*v**3 + 1572*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1094059815 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -z + 9. Is 7 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 (base 9) in base 5?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.18054*-0.15.\nAnswer: -2.127081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 71*g + 283. Let c be o(-67). Solve -c*m - 17 + 77 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**6\/90 - o**4\/18 + o**2\/6 - 6*o. Factor m(p).\nAnswer: (p - 1)**2*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z - 4*z + 0*z)*(-4*z**2 - 10*z**2 + 2*z**2) + 7*z**3 + 2*z**3 + 4*z**3 to the form r*z + q*z**2 + f + s*z**3 and give s.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4753699 and 643?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 o when two letters picked without replacement from {v: 1, m: 1, q: 1, s: 2, b: 1, o: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1847854\nAnswer: 2\/923927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -169240 + d6?\nAnswer: -169159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13651 - -13775. Calculate the remainder when y is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*h = 15499, -h = 3*x + 3147 - 12460. Does 38 divide x*(-5)\/(-35) + (-8)\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141\/5 at most -2.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 40999.13ml in litres?\nAnswer: 40.99913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9572)\/16 - -4)\/(84\/(-40)). Let q = s + -283. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -813*l**3*t**2 + 3*l**3 + 18*l**2*t**2 - 19*l**2 wrt l.\nAnswer: -4878*t**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 1\/2063, 2\/15, 159\/5 in decreasing order.\nAnswer: 159\/5, 1\/3, 2\/15, 1\/2063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*d**5 - 666222*d**4 - 6*d**2 - 15996064?\nAnswer: 240*d**2 - 15989328*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-10)*(-2580)\/6321\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 4*g + 3. Let t be z(-4). Suppose -20 = -t*a + 13. Calculate the highest common factor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, 285, 746, 1367, 2202, 3305, 4730?\nAnswer: 6531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68252988 and 31131.\nAnswer: 3459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -2*u - 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111281240*q**4 - 13449*q + 1707 wrt q?\nAnswer: 1335374880*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3527971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/641 (b) 53453 (c) -0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 4*y**2 - 2*y + 2. Let d = -5 - -4. Let b be (6\/(-3))\/(d\/(-2)). Calculate the remainder when q(b) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.52 and 6654.\nAnswer: -3460.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34826, 69623, 104420, 139217, 174014, 208811?\nAnswer: 243608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*j + 206*j + 115356 = 116649 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, q: 2}. What is prob of sequence qq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152212?\nAnswer: 2, 38053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80 + 84. Solve 5*o + 2*i - 23 = 2*o, -4*o + 36 = u*i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2739 = 141*q - 11487 - 9300. Which is smaller: -1\/2 or q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 + 77*g**2 - 74*g - 63. What is the thousands digit of h(-39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 109891865*k + 117042418.\nAnswer: 109891865","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 145*x**2 + 257662*x - 5366. Give p(-1777).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/(k*k**(-18)\/k))\/k)*k*k**(6\/5)*k*k*k)\/(k**(3\/7)*k)**(-2\/11))**(-1\/12) assuming k is positive.\nAnswer: k**(1481\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -14*t**3 + 7*t**2 + 17*t + 50. List the prime factors of z(-6).\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -11. Let r be (2\/(-3))\/((-2)\/6). Let l(d) = d**x - 2*d**3 - r*d + 3*d - 6 + 3*d**3. Give l(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -35*l**6\/2 + 167*l**4\/12 - 142*l - 2. What is the third derivative of b(m) wrt m?\nAnswer: -12600*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 - -72. Let z = -13 + 9. What is the closest to 1\/6 in -2\/5, z, y?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -72*v**2 + v - 1. Let y be j(-2). Let c(g) = 9*g**3 - 7*g**2 - 6*g - 2. Let k be c(-3). Is k at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 62, 60, 58, 56?\n\"Answer: -2*y + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2211 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4076\/1099 or -5?\nAnswer: -4076\/1099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - j + 11. Suppose 20 + 15 = 5*s. Let q = j - s. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 + 289d0?\nAnswer: 28a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 702268?\nAnswer: 1404536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*q + 2*q + 4*q)*(-q**2 - 4 + 4) + q**3 + 2*q**3 - 6*q**3 + (q + 0*q - 2*q)*(-2*q**2 - q**2 + 2*q**2))*(-2 + 4 + 1).\nAnswer: -15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*5\/15 + 28764\/(-5076).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/3841 and -40\/1083?\nAnswer: 4159803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*f - 1, -5*r - 5*f = 10. Let l be 2*r\/12*22. Put l, 5, -3, -4 in increasing order.\nAnswer: l, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 38 = 4*r. Let y(o) = -218 - r + 22 - 28 + 45*o**2 - 55*o. Let q(l) = -5*l**2 + 6*l + 26. Let n(s) = 55*q(s) + 6*y(s). Let n(f) = 0. What is f?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 0*s + 23 - 89\/2*s**2. Let a(o) = 2*o**2. Calculate f(a(q)).\nAnswer: -178*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 15752880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -5. What is the nearest to k in -18, -1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -76*(-55)\/(-44) - (38 - 44)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20953965367.29 - 20954074167.2339549. Let w = -108293.94398 - g. Let s = w + -506. What is s rounded to six dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/70*182\/39)\/(3\/(-15))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35738 + 88791. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 333152214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*q + 69*q + 27*q + 22*q - 35.\nAnswer: 197*q - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.087 (b) 0.3 (c) -5 (d) -331119\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -0.253424.\nAnswer: -4.253424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 f, and 1 h when three letters picked without replacement from zhhfzzfffhvffhhh?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*u + 49, 16*w = 15*w - 3*u + 9. Let m = 5 + -7. Let n = 7 + m. Which is the biggest value? (a) -0.5 (b) n (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28645 + 28645.0013103. Round p to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 15*f + 264. Let h be o(-17). Solve -11*l = h + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f - 3. Let u be c(-2). Let x(v) = -7*v**3 - 14*v**2 + 5*v - 8. Let p(q) = 8*q**3 + 15*q**2 - 5*q + 9. Let w(o) = 8*p(o) + 9*x(o). Determine w(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 + 11)*((-56)\/(-12) + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.61, -8, -8.6 in descending order.\nAnswer: -0.61, -8, -8.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/2)\/(1\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.589 - 0.011. Which is the smallest value? (a) 5 (b) w (c) 0 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308700?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 3:03 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-6)*(-18)\/12*(-53)\/(-159). Let 0 - 1\/3*c**2 + 1\/6*c**5 - 1\/6*c + w*c**4 + 0*c**3 = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 6:01 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1412 - 10409 - 24393 = 288*n + 189*n for n.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 18*g**2 - 18*g + 20. Let w be l(17). Let h = 14 - 9. Suppose h*q - w*q - 34 = 0. 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 prob of picking 2 u and 1 j when three letters picked without replacement from kmuudjduuukk?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28622 - 28614. Solve -2*t - 12*f - 14 = 0, m*f - 6*f - 1 = 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**3\/3 + 4*d**2 - 12*d - 15. Let y be x(7). Put -3, y, 0 in ascending order.\nAnswer: y, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7564059 to the power of 1\/2, to the nearest integer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 5, -2\/9, -74\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2021303351\/1140 + 1773073. Calculate the common denominator of k and -121\/2052.\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3964232.\nAnswer: 2, 137, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 395314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in -1\/2, 1, 0.23, -206, 0, -0.6?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - 265*g + 3*g**2 + 74 - 207 + 133.\nAnswer: 4*g**2 - 265*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j - 3*j - 2*j - 3 + 6*j. Let p(f) = 1. Let s(d) = m(d) - 3*p(d). What are the prime factors of s(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*x**2 + d**3*x - 3*d*x**2 - 3*x**3 + 35*x - 2 wrt x?\nAnswer: 2*d**3 - 6*d - 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 8. Let g(c) = 3*c - 3. Let p be g(-3). Let k be x(p). Suppose 20 = f - 5*f, f + 209 = k*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, 3.6, 10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwg when three letters picked without replacement from {g: 5, w: 11}?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*u - 8 - 14 = 0, -3*k - 3*u + 18 = 0. What is the highest common factor of 22 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504305.\nAnswer: 5, 17, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 435913 * 3\nAnswer: 1307739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 166, 337, 508, 679?\n\"Answer: 171*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 4, 0, 50, -5, 1054?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -109 (c) -0.4 (d) -24 (e) 4 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2\/4 + 422387*a\/2 - 178410777769\/4 = 0. What is a?\nAnswer: 422387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 less than -17754268?\nAnswer: -17754282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from loilikiko.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**5\/19 - 1054*l**4\/19 - 58324*l**3\/19 + 308396*l**2\/19 + 30063314*l\/19 - 7899130 = 0.\nAnswer: -37, 5, 19, 577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113.9, 0.1, -4, -5 in increasing order.\nAnswer: -113.9, -5, -4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2333 or 207513\/89?\nAnswer: 207513\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from nhsyyoonbno?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 9*s + 6. Let m be 40\/6 - (-13)\/(273\/(-14)). What is g(m)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*g**3 + 375*g**3 + 1852 - 3734 + 1882 + g**3.\nAnswer: 587*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*w - 62 = -378 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.25764 and 11?\nAnswer: 10.74236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -5\/3 (b) 0.623 (c) -0.1 (d) 20 (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(2*sqrt(3))*4)\/((sqrt(120)\/sqrt(18))\/sqrt(6)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001004778 to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28992382\/32618025 - 7042\/25785. Let n = j + 6\/575. What is the common denominator of n and -5\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from peppjeejpeeeje. Give prob of sequence pjpj.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**3 + 20916*j**2 - 41848*j = 0 for j.\nAnswer: -5231, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4362 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 2*l + 6, 61*f - 5*l - 120 + 439 = -9*f + 184 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 106880153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16169368.\nAnswer: 2, 23, 87877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -267\/5 and -53 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 3*k - 5 = -2*d, -16 = 3*d + 4*k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 22965 divided by -4593\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*q = -1248, 9*q + 1856 = 3*y + 8*q. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 0*q**4 + 358*q**2 - 12 + 28*q + 2*q**3 + q**4 - 377*q**2 = 0.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 17*s + 18*s - 54*s + 32 + 128 + 16*s. What is the remainder when h(13) is divided by 34?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 814, 810, 806, 802?\nAnswer: 798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x. Let b(g) = 648288*g**2. What is z(b(s))?\nAnswer: -5186304*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from {m: 2, p: 4, v: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (-1 + sqrt(128))**2)*-2 - sqrt(128)) + 2 + 3 - -5*(-3*sqrt(128) + -2 + -2)**2.\nAnswer: 904*sqrt(2) + 6103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*s + 2*x - 5, 0 = s - 3*x + 9. Solve 0 = 4*f + 12, -s*f = 3*c + 2*f + 30 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + (-6)\/9*15. Let f(c) = 7*c**3 - c**2 - c - 1. Let p be f(-1). What is the tens digit of (-122)\/z - p\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2))**17)**(1\/60) assuming i is positive.\nAnswer: i**(-17\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 268 divided by 75534.\nAnswer: 134\/37767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/537 or -1\/37?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -34*u + 26*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18637*v + 28 - 18634*v - 28.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6150340 - 2*c**2 - 12*c**2 + 6150339.\nAnswer: -14*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-1374610.\nAnswer: 27492.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 0.3, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -725*s + 40419 = 772*s for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -11*u**6\/6 + 3*u**2\/2 - 4. What is the second derivative of t(f) wrt f?\nAnswer: -220*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*g*v**2 - g*v - g + 13*v**2 - 29498 wrt v.\nAnswer: 26*g*v - g + 26*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, b: 5, h: 3, k: 2, z: 1}. Give prob of picking 1 z and 2 h.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 4c?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -2)*(-15)\/6. Suppose 3*c = -v*m + 14, 4*c - 5*m = 3*c - 2. Put 2, c, -4 in decreasing order.\nAnswer: c, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)*1*-5)\/(sqrt(162) + 1*sqrt(162) + sqrt(162)).\nAnswer: -5*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/135*-5*((-14)\/2)\/(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 57 = -13*h, l - 13 = 21*h - 18*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 7*h + 4. Let n be r(-8). Let g = 5 + n. What is the tens digit of (-28)\/g*4\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-12))\/((-45)\/40).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -30. Suppose -249 + x = 7*n. Is -34 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2. Let b(n) = 191*n - 38. Let l(t) = -b(t) + 3*i(t). What are the prime factors of l(-7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122 - 302203?\nAnswer: -302331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 154635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0*m - 14. Suppose 85 = -2*w + m*w. Suppose 3*g - n = -2*n + 7, 0 = -3*g + 5*n - w. What is the closest to 1 in 0.3, g, 0.01?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iri when three letters picked without replacement from {f: 3, i: 3, r: 7}?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24050 and 592.\nAnswer: 192400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4 + 1046*q**3 - 49896*q**2 = 0. Calculate q.\nAnswer: -567, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdaq when four letters picked without replacement from {k: 1, e: 2, d: 1, q: 10, a: 2}?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1264?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16803 divided by -3\nAnswer: 5601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -1, -3, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 233.1 + -222. Let a = 11.051 - m. Round a to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 17, -2, -4, -1, 3.\nAnswer: -4, -2, -1, 3, 17, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31852140.\nAnswer: 2, 3, 5, 530869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from vvvnvnfnf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n**3 - 20*n**2 + 2. Let k be 1 - -2 - 2 - -39. Suppose -p + k = 3*p. What is the lowest common multiple of h(-4) and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84879.13 centuries in millennia?\nAnswer: 8487.913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-72)*15)\/2*441\/245\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6975 - 6978. What is the closest to j in -1\/2, -3, -6, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1710679, 1710686, 1710695, 1710706, 1710719, 1710734, 1710751?\n\"Answer: u**2 + 4*u + 1710674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5341559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 0 - 2\/5*y**2 = 0. Calculate y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34133, 34134, 34135, 34136?\nAnswer: 34137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 4*q + 5*g + 483, -5*g - 366 = -3*q. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x = -23*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxp when four letters picked without replacement from {p: 7, x: 5}.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 12*p = -14512. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 - 3*j + 4. Let p be (-1)\/3 - 2\/(-6). Suppose -5*a + 2*a = p. Let y be (2 - a)\/((-4)\/10). Let m(l) = 4*l**2 - 4*l + 5. What is y*m(t) + 6*k(t)?\nAnswer: -2*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 436778941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(10) - sqrt(360)*-1) + 1.\nAnswer: sqrt(3)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13046380?\nAnswer: 2, 5, 652319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(2*-1 - 0). Suppose -m + 471 + 400 = 0. Suppose 2*z + m = 3*r - 0*r, -h*r - 5*z = -587. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -211 by -4.\nAnswer: 211\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from rrwaryarbubruyabrr?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 41466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 252*a**2 - 317*a + 3825. What are the prime factors of p(12)?\nAnswer: 3, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175484497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 8*a**2 + 12*a - 5. Let i(y) = -y**2 - y. Let g(d) = 6*i(d) + r(d). Let n be g(-5). Let s = n - 11. What is the smallest value in 1\/5, s, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2. Suppose -n - 2*n + 12 = x. Let d = 127 + -123. Calculate the lowest common multiple of d and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 7*a**2 - 899*a - 1782. What is d(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -70009 divided by 4\nAnswer: -70009\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen ninths of a week?\nAnswer: 21280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -583 (base 14) to base 10\nAnswer: -1095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 9:39 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**5\/60 - 5*v**4\/12 + 5*v**3\/3 - 2*v**2. Let n be c(9). Let y(z) = 145*z. Is y(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 5933\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*u - 6, 0 = 3*w + 1 - 10. Suppose -2*b - 20 = 2*b - 5*x, 4*b + 3*x - 12 = u. Suppose -6*l + 2*l + 20 = b. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 7. Suppose -4*j = -s*j + 140. Factor 7*w**4 + j*w**3 + 41*w**4 + 15*w + 8 + 41*w + 138*w**2 + 2*w**4.\nAnswer: 2*(w + 1)**2*(5*w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 41*t + 549. Let c(a) = 63*a + 550. Give 2*c(n) - 3*l(n).\nAnswer: 3*n - 547","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**6\/120 + 3*g**5\/20 - g**4 - 11*g**3\/3 + 269*g**2. Give q(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-2 - (-1 - 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (0 - 2) + 44 + -40 + (-1716)\/(-78)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**1)\/x*x\/(x\/(x*x*x**(2\/5)*x*x))*x\/(x\/x**(1\/3))*((x\/x**(-1))\/x)\/x assuming x is positive.\nAnswer: x**(86\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1054*k + 4*k**2 + 1063*k - 2108*k.\nAnswer: 4*k**2 + 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -222534 (base 9) in base 6?\nAnswer: -2504134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 times 116235.85\nAnswer: -22084.8115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 + 10*r**2 + 15*r**2)*(29 - 29 - 7*r) + (-3*r**2 + 4*r**2 + 3*r**2)*(0*r + r - 3*r) as s*r**2 + w + z*r**3 + m*r and give z.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5368*a**4 + 5*a**3 - 5944*a. Let z(m) = 8050*m**4 + 7*m**3 - 8916*m. Let d(t) = 7*w(t) - 5*z(t). What is the second derivative of d(n) wrt n?\nAnswer: -32088*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 8*t - 9. Suppose -3*o - 3*y - 33 = 0, 0 = 2*o - 3*y - y - 8. Let m be i(o). Solve 0 = -h + 1 + m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 25. Suppose 4*v - 5*v + s = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52.4*0.03\nAnswer: 1.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/8 + 4\/(-1). Let p(o) = 6*o + 23. Let i be p(f). Let r be (-552)\/161*i\/2. Which is smaller: r or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 18 (b) -3 (c) 56\/3 (d) -74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5. Let y(i) = -i**2 + 4. Give 3*m(w) + 4*y(w).\nAnswer: -4*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(121) - -5*sqrt(121)*1) + sqrt(121))\/(sqrt(11) + sqrt(891) + sqrt(891) + -2*sqrt(891)).\nAnswer: 5 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 55b4?\nAnswer: -55b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 572 + -535. Suppose -45*j = -f*j - 280. Calculate the remainder when j is divided by 32.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1355695 months in decades?\nAnswer: 0.0177964125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.4, -80, -0.17 in ascending order.\nAnswer: -80, -4, -0.4, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88d2 (base 15) to base 12.\nAnswer: -14945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*-5.043\nAnswer: -5.043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -632734?\nAnswer: 316367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.6 times -4529?\nAnswer: -66123.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t**3 - 8*t**2 + 8. Let u(a) be the first derivative of 3*a**4\/4 - 5*a**3\/3 + 5*a + 18. Determine 8*u(k) - 5*v(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54921154?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x - x + 27194 + 3*x.\nAnswer: 2*x + 27194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 4346.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 532747, 532751, 532757, 532765?\nAnswer: 532775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 5*z**2 + 3*z + 8. Let c be x(-5). Suppose 18 = 4*w + r, -18*r - 13 = -3*w - 19*r. What is the nearest to c in -1\/8, 0.1, w?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -1661?\nAnswer: 165a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 218*h**2 + 17490*h + 2\/3*h**3 - 54450.\nAnswer: 2*(h - 3)*(h + 165)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*h - 4*d, -3*h - d = h - 8. Let j(l) = -3*l + h - 1. Let v(u) = -2*u. Determine j(v(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.37 - 5.37. Suppose -2*n - 51 = -19*n. Suppose 0 = -d + 1 - 5. Which is the third biggest value? (a) d (b) f (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14, -29, -52, -83, -122, -169, -224?\n\"Answer: -4*v**2 - 3*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*l - 28*l = 84. Which is greater: 9 or l?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*50\/450)\/((-4)\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 2 + 2 + (4 - 1 - 1)*(0*q - q - q) + 161*q + 151*q - 1 - 315*q.\nAnswer: -5*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 times 0.017?\nAnswer: 2.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f. Let b(i) = -1084*i - 3450. Give t(b(z)).\nAnswer: 1084*z + 3450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, i: 2}. What is prob of picking 2 u and 1 i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 6*g**5 - 458*g**4 + 7274*g**3 - 25174*g**2 + 23728*g - 5376 = 0.\nAnswer: 1\/3, 1, 3, 16, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 0.4 (c) -7.9 (d) -2\/719 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/3)\/(2\/3). Let v = 0.06 - 0.1. Let u = v + -0.06. What is the nearest to u in 1\/2, k, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 23*t + 235. Let z be i(-5). Solve z*y + 33 = 131*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1903*x**2\/9 + 16279*x - 1540\/9 = 0. What is x?\nAnswer: -77, 20\/1903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -125833*p + 4026672. Give h(32).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 5*k + 1. Let c be n(3). Let x(h) = h + 1. Let w(d) = d. Let z(g) = -3*w(g) + 6*x(g). What is z(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1591031 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 7*d**2 + 9*d + 14. Suppose 1667 - 1723 = 7*l. What is o(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2))**20)**(-31) assuming w is positive.\nAnswer: w**1240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 560685 to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 327650235 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a + 41*a = 2568. Let b = a - 14760\/23. What is the nearest to 0 in b, 3, 1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 226133912.\nAnswer: 452267824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide -11 + 6 + (0 - -781)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - c = -6*c - 9, -2*w - 6 = 4*c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1097, -1166, -1223, -1268, -1301?\nAnswer: -1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 238697390, 238697389, 238697388?\n\"Answer: -n + 238697391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-976)\/488)\/((-4)\/((-3)\/3))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 14*q + 10. Let p be t(14). Suppose 3*n = n + p. Suppose -1018 = -n*k - 233. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -197 + 0.07368\nAnswer: -196.92632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 1, -146, 5 in descending order.\nAnswer: 5, 2, 1, -5, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11594133 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = -11*o + 3*p - 386747, 3*o - p - 232065 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2425 - 2425 + 46*j**2 in the form t*j**2 + n*j + f and give t.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -12. Sort -7, 5, h in descending order.\nAnswer: 5, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - 2*z**4 + 28*z**2 + 3 + 4962*z**3 - 4950*z**3 - 26*z**2 to a + t*z**2 + s*z + n*z**4 + i*z**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 390341167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + l + 18 + 3, -5*x + 15 = -5*l. Suppose 2*p + 5*i + 47 = 0, 2*i + 149 = -x*p + p. Is -31 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -118\/13, -1, 3\/2 in increasing order.\nAnswer: -118\/13, -1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g - 12 = 0. Let b = g - -8. Suppose 2*v = -b*v + 20. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - -1. Let a be (-6 - 0)\/(y\/(-20)). Is 12 a factor of 30*-2*(-3)\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349666 is divided by 87389?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 + -13?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -26 and 474 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -275 (base 10) to base 5\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 1)*(o + 2*o - o) - 3*o + 5*o + 0*o)*(30 - 4 + 4) + 4*o + 4*o - 4*o.\nAnswer: -56*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 26. Suppose 3*t - d - 10 = g, 0 = -t - 2*d + 1. Find r such that -r**3 + 56*r - 57*r + 2*r**t = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9057041*d*o**3 + 25*d*o**2 + 160*d*o + 11*d - 224*o - 15 wrt o.\nAnswer: 54342246*d*o + 50*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -180 - -181.2. Let c = q - 1.2. Is c greater than or equal to 84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 41*n - 7. Let w(t) = 21*t - 3. Let p(x) = -2*u(x) + 5*w(x). List the prime factors of p(1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.54, -4\/3, -2 in decreasing order.\nAnswer: -0.54, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -1 + 4. Let r be (-4)\/x*(-3 + 0). What is the derivative of r + 2*u - 6 + u wrt u?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 5*h - 5*v, -5*v + 6 = h - 0*v. Let w = h + 5. Is 19 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 i when two letters picked without replacement from ginnyniiningy?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 15*p + 17. Let n be d(-7). Suppose 3*y - 2*g = 984, -y + n = -3*g - 150. What are the prime factors of y?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 2 + sqrt(192) + sqrt(192)*-5 + sqrt(192) - (3 + sqrt(192)*2 - (1 + (sqrt(192) - 2*sqrt(192))))) + 4 + 4)**2.\nAnswer: -768*sqrt(3) + 6976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26838 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -565*v**2 - 536*v**2 + 1102*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 40 = -3*j - 31, -5*l - 25 = 5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1595*h + 10 = 1597*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 19*n - 2856. What is the remainder when 30080 is divided by f(155)?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63291196.\nAnswer: 2, 15822799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2442 + 2443. Let d(r) = -2*r + 1. Let p be d(-2). What is the hundreds digit of (p\/l)\/((-7 + 4)\/(-72))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65616228 and 6.\nAnswer: 65616228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 23015 + 22855 = 0 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eete when four letters picked without replacement from {e: 18, t: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 + (-4)\/(-16). Let z(l) = l + 9 - 13*l**2 - 64*l**2 + 78*l**2. Determine z(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98019.23 millilitres to litres.\nAnswer: 98.01923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 360 divided by -15\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6.8 times -200723\nAnswer: -1364916.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -316*h - 24. Let q be t(-3). Suppose 0 = -5*b - n + 26, -b - n = -0*n - 2. Is (3\/6)\/(b\/q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188, -377, -566, -755, -944?\nAnswer: -1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000018743 to 6 decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.89, 2\/11, 1067 in ascending order.\nAnswer: -2.89, 2\/11, 1067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = 2*g + 100 - 6 - 26 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1, 7, 0.1, 38.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4)*3*-2. Let g(b) = -b**2 + 3*b. Let i be g(a). Suppose -5*s - 4*q = -32, -3*s + i*s - 2*q = -18. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6*v + 2. Let s(t) = -148*t**2 + 2*t + 24. Determine s(d(i)).\nAnswer: -5328*i**2 + 3540*i - 564","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggxur. Give prob of picking 1 g and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 146498420 to the nearest one million.\nAnswer: 146000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + -0.1. Let o = -1781291\/5103 - 55\/729. Let t = o + 350. Put m, t, -0.2 in descending order.\nAnswer: t, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r - 3. Let t be a(3). Let y be (-40)\/t - (-2)\/(-3). Find f such that 5*f**2 + 2*f**5 - 4*f**4 - f - 3*f - f**y + 2*f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 11011111001?\nAnswer: -11011111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/20)\/((-1*2)\/(-2))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14529 by 10364.\nAnswer: 14529\/10364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a week in hours?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 5*n - 45. Let v(f) = -6*f. Let c(o) = o**3 - 3*o**2 - 1. Let j be c(3). Let m(u) = u. Determine j*v(p) + n*m(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1 (c) 2\/5 (d) -5 (e) 2\/9 (f) 1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -18*l**2\/7 + 7716*l\/7 - 826898\/7 = 0?\nAnswer: 643\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 - 4*h**2 + 18*h**2 - 10*h**2 + 8*h**3.\nAnswer: 4*h**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*w + 36 = 0. Suppose -3*s - w = -4*s. Suppose 0*a + 4*a - 48 = 0. Calculate the lowest common multiple of a and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - ((-9 - 0) + 3) - (5 + 2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -121*m**2. Let s(d) = -d**3 - 5*d**2 + 12*d + 1. Let p be s(-7). Let z(x) = -p + 5 - 2*x**2 + 10. What is f(z(u))?\nAnswer: -484*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 13*s**5\/10 + 4*s**4\/3 - 10*s**2 + 27*s + 2. Let o(f) = -5*f**3 - 3*f**2 + 4. Calculate 3*l(h) + 16*o(h).\nAnswer: -2*h**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a microsecond in nanoseconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -659071000 rounded to the nearest one million?\nAnswer: -659000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0 + 16 = 0. Solve 0 = 2*d - 4*a + 3*a + 10, -g*a = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - -20. Let q = w - 33. Let v = q + 5.8. What is the nearest to -3 in v, 0.4, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*k - 1068 = 7*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 4:38 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 20 = -5. Let j(p) = 5*p + 1. Let d(w) = -5*w - 1. Let q(r) = -r. Let b(h) = -2*d(h) + 4*q(h). Determine n*b(u) - 4*j(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -m + 231 - 224, -3*m - j = -11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 17*b**2 + 68*b - 18. Calculate l(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, y: 4, f: 3, a: 2}. What is prob of sequence ya?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51\/22 - 379\/154. What is the fourth smallest value in l, 4, -32, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 752785\/22*(-28)\/(-35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 394525055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-2 - (2 + -2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -2\/7583, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 7 + 5 + -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 21 - 12. Let i(y) = y**2 + 12*y + 13. Let o be i(s). Suppose 4*j + 96 = -0*x + o*x, 4*x = -4*j + 192. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 x, and 1 s when four letters picked without replacement from xgssegesoooxx.\nAnswer: 27\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 74 = -30. Suppose -c = -2*a - 2*a. What is the remainder when 25 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7)\/(105\/125)*-174.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -d - 7. Let h(s) = s**2 + 7*s + 4. Let i be h(d). Let g(z) = z**3 + 5*z**2 + 4*z + 1. Let c be g(-4). Sort 0, c, i in increasing order.\nAnswer: i, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 6 + 2726*w - 4.\nAnswer: 2726*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 177\/86092 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 q when two letters picked without replacement from naabuqaaababbaaabbaa.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - k - 2*k)*(-2 + 2 - 2*k)*(202*k**2 - 202*k**2 + 43*k**3).\nAnswer: -86*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3397205 to the power of 1\/2, to the nearest integer?\nAnswer: 1843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-3)*2446\/(-256830)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 5*r**7\/294 + 3*r**6\/14 + 17*r**5\/70 + 5*r**4\/42 + 104*r**3\/3 + 105. Let k(v) be the third derivative of m(v). Factor k(t).\nAnswer: 4*(t + 5)*(5*t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w = -3*t - 57991, -w + 3*t = 29009. Round w to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -531 - 3*c + 531.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p + 23*p = 48. What is the least common multiple of p and 1098?\nAnswer: 8784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25121121 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 - 2*z**2 - 2*z**2)*(-2*z + 3 - 3) + z + 18*z**3 - z + (0*z - z - z)*(5*z - z**2 - 5*z).\nAnswer: 18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66653658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (19\/(-38))\/(16\/12)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3490648 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, -19, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, e: 1, s: 1, d: 1, h: 4}. Give prob of picking 1 h and 1 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 11:06 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1563820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-8)*o)\/o*o**(-21))**(-2\/17) assuming o is positive.\nAnswer: o**(58\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30539474 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + 5025*n**3 - 2511*n**3 + 2*n - 2512*n**3 + 12*n - n**4 as q*n + s + g*n**4 + f*n**2 + b*n**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9385 + 16513. Does 24 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (-15)\/(-5))\/(-7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - -0.7. Let w = -6 - -5. Let l = y + w. Which is the third smallest value? (a) l (b) 4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -131\/3 (b) 8 (c) -4 (d) -60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1298 and 8327?\nAnswer: 982586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - sqrt(70)*4*5)\/sqrt(2)*-2)\/(sqrt(500) + sqrt(500)*4 - sqrt(125)*3).\nAnswer: 38*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 3. Let i(y) = 2*y - 3. Let q be (18\/(-15))\/((-2)\/(-5)). Calculate q*i(x) - 4*m(x).\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 738.1994ml?\nAnswer: 0.7381994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -824 - -1155. What is the remainder when j is divided by 68?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 22*w**2 + 23*w - 16. Let s be c(21). Suppose 0 = -s*i + 30*i - 884. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 33, -1\/3, 4, -4\/5, -2\/19?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10.691 * 586\nAnswer: -6264.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + sqrt(605).\nAnswer: 2 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.29573 litres in millilitres?\nAnswer: 61295.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12635\/6 + 2114. Let z = 32\/3 - x. Which is the fourth biggest value? (a) -0.3 (b) z (c) 3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 604603596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/((sqrt(1296) - sqrt(36)) + sqrt(9)).\nAnswer: sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-1))\/(((-280)\/5)\/14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -q + 9*q - q - 4*q in the form t*q + d and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 175878480 divided by 35175696\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 354 + 334 = 0. Suppose 4*k - 4*t - o = -0*k, 2*k + 2*t = 152. Let x(q) = -q**2 + 9. Let l be x(0). What is the highest common divisor of k and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x**3 - 6*x**3 + 10*x**3.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*p + 3*v = -4, p + 3*v = 11. Find the first derivative of -2*q**4 + p*q**4 - 1 + 7 wrt q.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -969023\nAnswer: -4\/969023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 36 = k, -2*k = 5*v - 3*k + 34. Let b be 2\/v - 72\/189. Let n = -0.465 + -0.035. What is the nearest to b in 4\/7, 2\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17109, 14194, 11305, 8454, 5653, 2914?\n\"Answer: 2*h**3 + h**2 - 2932*h + 20038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 213 or -6\/181?\nAnswer: -6\/181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 14*k**4 + k**2 - 31*k**2 + 28*k**2 in the form l*k**2 + o*k**3 + y*k**4 + h + d*k and give h.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 11*w + 12. Let p be r(10). Let d be (10\/4 - p)*(77 + 13). Calculate the highest common divisor of 45 and d.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence btyk when four letters picked without replacement from bykkhykbtkbbyyybyyk.\nAnswer: 175\/93024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -34*z**2 + 0*z + 0 - 1\/5*z**5 + 19\/210*z**7 + 0*z**6 + 0*z**4 + 0*z**3. Find the third derivative of i(q) wrt q.\nAnswer: 456*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 15472*m - 29922848.\nAnswer: -2*(m - 3868)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 11. Suppose -2*n + 11 = 3*b - 13, 3*b + 6 = 0. Let c be u(n). Suppose z = 6*z + 5. Put c, z, -5 in increasing order.\nAnswer: -5, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-244)\/(-8))\/(2 - 135\/70). Let n = -424 + l. Solve -n*w + 8*w = -10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -1\/12*m**4 - 1\/60*m**6 + 0*m**3 + 1\/2*m**2 + 1\/15*m**5 + m + 0. Let n(i) be the first derivative of t(i). Factor n(h).\nAnswer: -2*h*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -212.8519 to 1 dp.\nAnswer: -212.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 5*n = -25, 5*u + 98*n - 102*n = 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-1)\/(-1)*(-165)\/(-22)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((6\/(-2))\/((-63)\/(-273)))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 892349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42174 and 462?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/6*108\/(-45). Let r be 1 - k\/4 - -1241. Let j = -539 + r. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*j**5\/6 + 993*j**4\/2 - 21119*j**3\/6 + 11091*j**2\/2 - 7570*j\/3 = 0. What is j?\nAnswer: -3028\/7, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + 3*u + 0*u + 2*u**2 + (3 - 8 - 1)*(-2 - 2*u**2 + 2).\nAnswer: 14*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 3*s - 5. Let l be g(-5). Suppose y + 24 = l*y. Calculate the least common multiple of 3 and ((-4)\/y)\/(6\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 533\/5 + -106. What is the biggest value in 0.34, -2, 4\/9, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 0*n - n)*(1 + 1 + 0) - 2 + 4 + 0 - 4*n.\nAnswer: -6*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 112\/24*3\/2. Calculate the greatest common factor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -34 + 106. Suppose 0 = -2*o + 4*j - 8, 4*j - 9 = 3*o - j. Factor -f + y**o + 8 + 9 + y**3 - y.\nAnswer: (y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9945 and 1071?\nAnswer: 69615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 94505975 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 12 - 8035*z - 13.\nAnswer: -8035*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3779890 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9675.259 weeks to minutes.\nAnswer: 97526610.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 339824815 and 24140.\nAnswer: 6035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 38*s**2 + 44*s + 273. Give b(-37).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53347949 to the power of 1\/3, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1511 (base 9) in base 3?\nAnswer: -1120101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 81 - 54. Suppose a*b = 48 - 30. Solve 0 = b*f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -717668, -717669, -717670?\n\"Answer: -i - 717667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 + 7*f - 3. Let u be t(5). Suppose 2*l = -6, -5*c = 3*l + u - 18. What is the units digit of (0 + c\/6)*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(42)\/sqrt(2))\/(-3*sqrt(9)\/sqrt(3)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28429*c**2 - 28427*c**2 + 2*c - 2*c.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - d - 12 + 0*d**2 + 3*d**2 - 13*d**2 + 1. Calculate j(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -301 - 42?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/8 and -1\/320088?\nAnswer: 320088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = -3*y + 3*m, 0*m = -m + 6 + 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5968 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 6*j**2 + 3. Let p(g) = -g**3 + 7*g**2 - 2*g + 8. Let r be p(7). Let b be a(r). Let v(o) = -2 + o**2 + b + 1 + 5*o + 0*o**2. Calculate v(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 + 45 = -2*k - 3*f, -4*k + 3*f + 11 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 13 + 1 - 10*d - d**2 + 2*d - 3*d. Let h be n(-8). Let c be (-57)\/(-2)*1*2. Calculate the greatest common divisor of h and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (3 + 0 + 3)\/(-2). Let r(v) = v**2 + 3*v + 1. What is r(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 5, -1, 2, 4 in decreasing order.\nAnswer: 5, 4, 2, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 10 + (-3 - 0) - (-32 + (-33 - -28))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 11 = -5*m, 3*m = 2*k - 20 + 3. Let f be (0 + 1)\/(-1 + 0). What is the remainder when 1 - -8 - (f - 0) is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/32 - (-1)\/4. Let s(g) = 4 + m + 1 - 5*g + 1. List the prime factors of s(-19).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227, 435, 633, 815, 975?\nAnswer: 1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6558400, -26233604, -59025610, -104934418, -163960028, -236102440, -321361654?\n\"Answer: -6558401*l**2 - l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 97140*k**3 + 16*k**2 - 16*k**2.\nAnswer: 97140*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*p**3 + 48*p**3 - 36*p**3 + p + 3*p in the form r*p + v + h*p**3 + z*p**2 and give h.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 3*z**4\/10 + 139*z**3\/5 - 537*z**2\/5 + 432*z\/5 - 425. Let c(v) = 0. What is v?\nAnswer: -72, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 - 53 - (0 + -7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28902 = 5*f - 72465 - 32438. What are the prime factors of f?\nAnswer: 7, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.9798 milligrams to kilograms.\nAnswer: 0.0000319798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10133.98 - -1.109.\nAnswer: 10135.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 - (59 + -56)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((525\/(-30))\/((-21)\/(-14)))\/(-7*(-4)\/84)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**4 + 3100*l**2 - 50*l + 381.\nAnswer: 36*l**2 + 6200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.148945946 * 0.1\nAnswer: -0.0148945946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18\/5*j - 16\/5*j**3 + 12\/5*j**2 + 0 - 12\/5*j**4 - 2\/5*j**5 = 0 for j.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-7)*9807\/(-113481)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6642\/(-90) - -44 - -30?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -18. Suppose 0 = -5*y + 1 + 9, -3*x + 3*y = 0. Suppose p*i - 5 = u + i, 0 = -2*u + x*i - 14. Is -8 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -327? (a) 5 (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2064 and 242445696.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 4*x + 27. Suppose -2*c = 5*v - 19, 2*c + 9 = -4*v + 21. Calculate g(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1125, 1126, 1127, 1128?\n\"Answer: a + 1124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (195\/6 - 41)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 1138*p + 119. Let m = -253 - -259. Is k(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 3 - 14 - (9 - 16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*r - 35*r = -4*x + 10, -r = -5*x + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1 - 1.7. Suppose 13*r + 4*r - 51 = 0. Which is the nearest to o? (a) -0.4 (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 4*o - 3*o - 16, 0 = 5*s - o - 16. Let x be (5 - 3)*13\/(-2). Let u = -7 - x. Solve s*a + w = -w - u, -2*w = -4*a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 4*h = z + 20, -1 = h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 14 = -5*k - 12*w, 4*k - 2*w = -14. Let l(s) = -11*s**3 + 9*s**2 - 8*s - 6. Let r(n) = -4*n**3 + 3*n**2 - 3*n - 2. Give k*l(z) + 8*r(z).\nAnswer: z**3 - 3*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405)*1 + -4.\nAnswer: -4 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 200067 to the power of 1\/2, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 16*w**2 + 14*w - 11. Let v be o(-15). Let a be (2\/v*0\/16)\/(-3). Suppose -m + 2*m - 53 = a. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 + -1.3. Let n = -1.1 + 0.1. Let v = 5 + n. Which is the second smallest value? (a) v (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 5*l**2 + 6*l + 7. Let p be c(-6). Suppose 0 = -z + 4*h - 6, -5*z - 80 = 7*h - 2*h. List the prime factors of (z\/p)\/((-2)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88.375 - 0.3179.\nAnswer: -88.6929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 267*p - 17334.\nAnswer: (p - 54)*(p + 321)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 257\/53?\nAnswer: 257\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -19?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + (2 - (-6)\/(-3)). Suppose 0 = -z*p - 9 + 1, -5*f + 14 = 3*p. Let y = 7 + -8. What is the third smallest value in y, f, -1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95517, -382297, -860315, -1529571, -2390065, -3441797, -4684767?\nAnswer: -6118975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13.975*-0.3\nAnswer: 4.1925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-2) + 9\/3. Suppose -7*u = -n*u. Let l be (-3 - 1)*(-3 - u). Solve 3*z + 0*z - o = -l, -2*z = 2*o + 16 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - -95. What is the greatest common factor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p + p)*(0*p**2 - p**2 + 0*p**2) + 4*p**2 + 443*p**3 - 428*p**3 - 3*p**2.\nAnswer: 13*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35.088 - -0.088. Let f = -63.1525717 + 98.152567. Let t = f + o. What is t rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 239*p - 246*p + 35. Solve -p*h - 4 = 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 12:23 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 301488869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43251008 and 43251008?\nAnswer: 43251008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6*f + 16 = 0. Let u be (-54)\/(-15) - f\/10. What is the second derivative of 0*x**2 + 0*x**2 - 8*x - x**u + 5*x wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -11, -3 in increasing order.\nAnswer: -11, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 14*i**2 - 9*i - 12. What is the units digit of a(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146235, 143519, 138993, 132657, 124511, 114555, 102789?\nAnswer: 89213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + 2*d**5 + d + 0*d**3 + 0*d**3 - 2*d**5 - d**5 + 5*d - 5*d + (10 - 10 - 6*d**2)*(-6*d**3 + 5*d**3 - 3*d**3).\nAnswer: 23*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-10)\/5*-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -30. Let m = -12 + j. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, b: 2, q: 3}. Give prob of sequence qqxx.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 19*p**2 - 55*p + 151. Let b = -504 + 534. Is j(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -107 + 126. Suppose 2*n + 3*i = -c, -n + 4*i - 13 = 4*n. Let k(y) = y**2 + y - 4. What is the tens digit of k(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 * 9\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (207\/(-27) - -8) + (-208)\/(-6). Suppose -4*i - 5735 = -t*i. List the prime factors of i.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135161\/852554*(-1)\/13.\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + 33. Let j = 79 - v. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from {x: 1, b: 1, l: 1, h: 2, n: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49035555.896214 - 49035683. Let y = -0.089586 - w. Let r = y + -127. Round r to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*p = -169*p - 742*p + 5435 + 75961 for p.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/2 of a century?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/16, -233, 0.3, -754 in ascending order.\nAnswer: -754, -233, -1\/16, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 10*i**2 + 2. Let s be (-2 + (-4 - -2))\/2*5. Let c be q(s). What is the remainder when 2\/(-24)*c - (-2523)\/18 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3793 - -7250. Round i to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3936*y + 10. Is b(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x**2. What are the prime factors of u(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.23457315 rounded to two decimal places?\nAnswer: 6.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**4 - 95*a**3 - 2*a**2 + 37 - 65 + 0*a - a + 30 + 18*a**3 in the form h + l*a**4 + w*a**3 + o*a**2 + b*a and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 10:04 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 at least as big as 425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1572.259 rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.5 - 9. Round t to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*d + 21441 = 178*d. Suppose 5*k - 7660 = -5*i, -6*k = 2*i - 3*k - d. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 16) to base 12.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/14 and 65\/681482.\nAnswer: 4770374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4111 (base 6) in base 3?\nAnswer: 1020121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**4\/4 - s**3 - 3*s**2\/2 - s + 735. Find i such that t(i) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1.5 (b) -4 (c) -5\/2 (d) -0.083\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*j = -20938, -f - 102*j + 5230 = -107*j. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 130 + -73. Calculate the common denominator of 37\/14 and (q\/(-6) + 2)\/((-48)\/(-52)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 - 238*z + 951\/4.\nAnswer: (z - 951)*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16, 51, 108, 187, 288?\n\"Answer: 11*j**2 + 2*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 461.9 - 462. Which is the nearest to -1? (a) -11\/8 (b) k (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*c = 5*c + 194, -5*q - 4*c = -440. Calculate the remainder when q is divided by (-2)\/(-5)*(-1330)\/(-28).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 236273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -100220?\nAnswer: 100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-7) + (-1)\/28. Suppose 0 + 3 = 3*t. Let s = 65\/231 + 4\/77. Which is the nearest to t? (a) 0.4 (b) s (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 17*n + 12 = 0. Let w be ((-4)\/n)\/((-1)\/(-6)). Solve 3*i - w*i = 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/1*5\/(-10). Let a be n*(-10)\/15*-1. Let w be (-92 + a)\/(-4 + 3 + 0). What is the highest common factor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.32 + 17. 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: Let b = 97 + -88. What is the highest common divisor of 15 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/27)\/((-4)\/102). Let c = y + -14. What is the second derivative of -t + 0*t + 13*t**c - 4*t**3 - 7*t wrt t?\nAnswer: 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**3 - t - 1. Let d be v(-1). Let o(u) be the first derivative of 12*u - 3*u**3 - d*u - 6 - 10*u. Differentiate o(z) wrt z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5474923405?\nAnswer: 5, 7, 156426383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 2*k + k)*(886*k**3 + 7210*k**2 - 3611*k**2 - 3599*k**2).\nAnswer: -1772*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(11) + 4 + -5)**2 + -2 + (sqrt(396) - (sqrt(396) + (-6*sqrt(396)*2 - sqrt(396))))**2.\nAnswer: 10*sqrt(11) + 66958","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-2\/5))\/w)**24\/((w\/(w*w**(-1\/8)\/w))\/(w\/((w\/w**5)\/w))) assuming w is positive.\nAnswer: w**(771\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.12029 decades to months.\nAnswer: 11894.4348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 831299.7 kilograms?\nAnswer: 831299700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8566 in 2, 0, 1, 5, -0.06, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/35)\/(76\/(241680\/(-477)))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*106669\nAnswer: -1066.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + p. Let o be f(1). Let w be o + (-3 - -2)\/(-1). Let b be -4 + 24 - 3\/(-6)*2. Calculate the greatest common divisor of b and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 28674705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2859 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 16 + 13)*(0 + 0 + r**3) as o*r**2 + m + i*r**3 + l*r and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p. Let h(t) = t**3 + 5*t**2 + 2*t + 6. Let b be h(-4). Let r be 7\/(b\/20) + -4. Let m(w) = 0*w + r*w + 0*w - 5*w. What is m(v(y))?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -30. Let t be (-10 + 8)\/(d\/(-58)). What is the greatest common factor of 261 and t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**6\/90 - a**4\/12 - a**3\/9 - 22*a. Factor u(q).\nAnswer: q*(q - 2)*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - n**2 - n + 1. Let o be r(2). Suppose 0 = o*m - d - 54, -5*d + 72 = 4*m - d. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 110 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by 6\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(128) + 0 - sqrt(80)\/sqrt(10) - (1 + 1*sqrt(2) + 1)) + 5)**2.\nAnswer: -750*sqrt(2) + 1475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y - 2*y - 4 - 4*y. Let b(p) be the first derivative of 5*p**2\/2 + 7*p + 24. Let u(l) = 7*a(l) + 4*b(l). Let t(d) = 4*d**2. What is u(t(s))?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 19*x**3 - 16*x**2 + 10*x. Let p(m) = -13*m + 20*m - 11*m**2 - 2 + 1 + 13*m**3 + 1. What is 7*p(i) - 5*z(i)?\nAnswer: -4*i**3 + 3*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13406093543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 + -29. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 1384?\nAnswer: -1381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*s + 2*s + 0*s)*(0*s + s + 2*s) + 2*s**2 + 0 + 0)*(2*s**2 + 5*s**2 - 3*s**2) in the form v*s**3 + k*s**4 + u + o*s + r*s**2 and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*y + 51 = 0. Solve 0 = -4*u - 5*m + y + 4, 0 = 3*u - 3*m + 18 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1693515 and 975.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -33. Which is the nearest to t? (a) 0 (b) 0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**4\/12 + 11*o**3\/2 + 77*o**2 + 91*o. Let p be m(-4). Solve 4*i + 2*z = p*z - 16, 0 = -3*z + 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -5, -0.2, -13\/7, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/6)\/((-43)\/(-903)) + 7. Solve h = 5*y + 5*j, -2*j + 4 = 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/4 + 6819277*b**2\/4.\nAnswer: b**2*(b + 6819277)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 63\/15 - (-1)\/(-5). Suppose d*x = 16, -3*v - 18 = -0*x - 3*x. Let u = 0 - v. Sort u, 3, -4 in decreasing order.\nAnswer: 3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -66, 7, 4 in descending order.\nAnswer: 7, 4, 1, -4, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1591, 17, -0.076?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 268 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 582 - 582. Let b(c) be the third derivative of 0*c - c**2 + 0*c**3 + 1\/120*c**6 - 1\/12*c**4 + p*c**5 + 0. Find the second derivative of b(z) wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 23*x + 80*x + 40 - 25 - x**2 + 3*x**2 to the form j*x + r + y*x**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.072, 50, 0.1, 10?\nAnswer: 1.072","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4445 - 3906. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2 = -5*r. Which is the closest to 0? (a) 2\/7 (b) -0.3 (c) r (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 times -15\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*x**3 - 5 + 1 - 7 + 3 with respect to x.\nAnswer: 87*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112422 + 2323?\nAnswer: -110055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 9*y**2 - 9*y - 1. Let u be r(10). Suppose 5*o + 56 = -u*o. Which is the third smallest value? (a) -3 (b) 2 (c) o (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 - 7*v**2 - v**2 + 25*v**2 + v + 47*v**2 in the form d*v + i*v**2 + m and give i.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28*f**4 + 2*f**3 + 148 wrt f.\nAnswer: 112*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*f + j, -10 = -3*f + 4*j + 40. Let d = f - 7. Suppose 0 = d*r - 0*x - 5*x - 92, 4*x = 5*r - 136. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 3*x - 3. Let r be g(2). Is (5 - r) + 14272 - 7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12264626 (base 7) to base 8\nAnswer: -4165103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9390*y**2 - 139 + 9384*y**2 + 139.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*m - 39 = -51*m + 5*k, -26 = -2*m + 4*k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/8)\/(-1) - 3120\/64. Let x = -45 - -126. Let b = s + x. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.09, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50557220 by 322.\nAnswer: -157010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 + 52*p**2 + 3*p + 56. Calculate k(26).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 - -61. What is the least common multiple of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a. Let k(j) = -j**3 + 6*j**2 + 8*j - 9. Let u(p) = k(p) - 6*l(p). Calculate u(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -2. Let z be 74\/90 + (-3)\/o. Let l = -3.1 - -3. What is the nearest to 0 in l, z, 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/25, 1\/3, 2\/9, -1\/74?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396 divided by -36.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k - 1743. Let v be u(73). Which is greater: v or -1304?\nAnswer: -1304","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 17. Which is greater: 1\/8 or f?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + (0 + sqrt(1900))*-4 + sqrt(1900) - sqrt(1900) - (sqrt(1900) + sqrt(1900)*2 + 5))**2.\nAnswer: 600*sqrt(19) + 68425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 155049306 and 1?\nAnswer: 155049306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -17*b**3 + 244*b**2 + 19*b - 8. Let h be d(7). What is the highest common divisor of h and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 145467.\nAnswer: 2\/145467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 11. What is the remainder when 38 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*h - 1 + 6 = 0, 4*h = 2*j + 14. Let s = 1 - -2. Let a(b) = b**3 + 20*b**2 - b - 18. Let f be a(-20). Sort s, f, j in descending order.\nAnswer: s, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-1 - -3) + -4. Let q be (a\/1 - -4)*-1. Is q > -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 1.45 (b) 2\/5 (c) -0.07 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4.212, 343\/4, 1\/14?\nAnswer: 343\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 2. Let o be w(4). Let t be o\/(-2) + -1 + 2. Suppose -12 = -3*a - t*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1208*0.4.\nAnswer: 0.04832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6054)\/(-11))\/2 + 80\/(-440). Let q = 272 - k. What is the third smallest value in q, 0.4, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n**2 - 4 - 3*n + 3*n)*(3 - 7 + 3)*(8*n - 5*n + 0*n) as f*n**2 + o + v*n**3 + l*n and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**6\/360 - q**5\/180 - q**4\/18 + 2*q**3\/9 + 6*q**2 - 6. Let p(c) be the second derivative of n(c). Factor p(v).\nAnswer: (v - 2)*(v - 1)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1009925\/21315 - (-16)\/(-42)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {u: 8, k: 1, v: 5, j: 5}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -6*h + 10. Let w(z) = -5*z + 10. What is -3*m(q) + 4*w(q)?\nAnswer: -2*q + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -31 - 17. Let n be (b\/6)\/((-2)\/(-16)). Suppose 2*c + 5*g = -n, c - 1 + 3 = -g. Solve -20 = -c*m - 3*r, 4*m + 7*r = 2*r + 36 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*j**3 - 21*j**2 + 21*j**2)*(5 - 1 - 3)*(7 - 4 + 6)*(3 - 3 - 2) to k*j**2 + v*j**3 + h + i*j and give v.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1542.5586 to 1 decimal place.\nAnswer: -1542.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -15\/13, -1\/13, 0.3, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*c**3 - c + 0 + 4*c - 19*c**3 - 2 to the form z + b*c**2 + j*c + i*c**3 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 - 4*v**3 + 3*v**3 + (40*v + 60*v - 19*v)*(4*v**2 + 3*v**2 + 0*v**2) - 3*v**3 - v**3 + 5*v**3.\nAnswer: 565*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(243) + sqrt(243) + 1)**2 + sqrt(243) - sqrt(243)) + 4.\nAnswer: 36*sqrt(3) + 973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*u + 28, -5*v + 59 = -5*u - 91. Let k(n) = n**3 - 7*n**2 + 8*n - 6. What is the remainder when v is divided by k(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -49*p - 340. Let k be m(-7). Which is the fourth biggest value? (a) 1 (b) -5 (c) -85 (d) k (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (63 + -9 + -28).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*h - 107*h**2 - 64*h - 58*h**2 - 5*h**3 - 49*h - 9*h.\nAnswer: -5*h*(h + 1)*(h + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-484.\nAnswer: -2420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(539) - sqrt(539)) + 4)**2 - sqrt(22)\/(sqrt(4)\/(sqrt(2) + sqrt(18))).\nAnswer: -4*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -19*r + 333. Let v be h(5). What is the highest common factor of v and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10318 - 10312. Solve 0 = -i*l - 1404 + 1362 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7943 - -1651. Let m = -1757 - c. Suppose 5*x - 7559 = -2*n, -n = 3*x - 0*n - m. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*t + 11, t = p - 2 + 1. Let o be (3 - 6)\/p - -6. Is 16 a factor of 20\/o - (-2 + -78)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2724 divided by -6.\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 12 (b) -2 (c) 1\/7 (d) 4 (e) 2\/1145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -271.73152?\nAnswer: 270.73152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.02, 14, 0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.89 + -0.11. Let b = 6.2 + f. Let s = b + 0.2. What is s rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285101.7 months in millennia?\nAnswer: 23.758475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2704 + 57413?\nAnswer: 62317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c**2*p**2 + c - p**2 + 2 wrt c?\nAnswer: -6*c*p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/2)\/s)**(-28))**10 assuming s is positive.\nAnswer: s**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0.3, -1\/8 in ascending order.\nAnswer: -1\/8, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - 14 - -15 - (2 - -17).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12593153 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*k**6*v**2 + 20433*k**3*v**2 + 2682*k**2*v**2 + 2*k**2 + 47*k*v**2 wrt k.\nAnswer: -1680*k**3*v**2 + 122598*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/((sqrt(7)*-1 - sqrt(7))*6))**2.\nAnswer: 11\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - 76*x + 4. Let f be u(38). Suppose 5*p = 4*k + p - 24, 0 = -4*k - f*p. Let c = -4 + 13. Calculate the greatest common divisor of c and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 12768919129257.\nAnswer: 12768919129256.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 358430 to the nearest one thousand.\nAnswer: 358000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 18220 = z, z - q + 2276 = -15919. Round z to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/148 and 41\/74.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 + 4*q**2 - 6*q**2 + (q**2 + q - q)*(24 - 3 - 13) - 103*q**2 - 19*q**2 + 30*q**2 - q + q + 2*q**2 to y*q**2 + o + r*q and give y.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -896*s*t + 2*s + 3533*t wrt s?\nAnswer: -896*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*z = -3, 3 - 1 = -2*z. Let p be (-1008)\/(-45) - 2\/5. Let k = p + -19. Solve 3*c - 14 = k*l + 2*l, y*l = -c + 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a century in years?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2\/15))\/a)\/a**(-2\/5)*((a**2*a)\/a)\/a**6 assuming a is positive.\nAnswer: a**(-56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 36*g**2 + 51*g + 83. Let r be j(-35). Let p = 843 + r. List the prime factors of p.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/6)\/(14\/105). Let s = -9 - -5. Which is the second biggest value? (a) s (b) 0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-191)\/(3820\/(-180)))\/((-9)\/(-122)).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1098, -2 in increasing order.\nAnswer: -1098, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 265\/21 (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 3)*(-13)\/(52\/(-24)). Suppose -n - i = -5*n. Suppose -4*l + 3*v + 312 = 51, 5*v - 203 = -n*l. Is 33 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*l = u - 324, 3*l - 324 = -4*u. Let y = u - 78. Suppose -7*i + 2*d = -4*i - 14, y*i + d - 2 = 0. Sort -5, -1, i in descending order.\nAnswer: i, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - s + 303. Let x be a(17). Let l be (-9)\/(-3) - 5 - -5. Let j = -2 + 1. Sort j, l, x.\nAnswer: x, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59281226597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18983217 divided by 2?\nAnswer: -18983217\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 + 0 + 12*h - 2*h - 25*h - 1 - 15*h to r*h**3 + y*h + u*h**2 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 5*a**2 + a + 5. Let q be m(-5). Let j = 2 - q. Factor 2\/5*r + 0 + 2\/5*r**j.\nAnswer: 2*r*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -436*i = -219*i + 1736. What is the second biggest value in -150, i, 5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96 - 99 - (-13 - 0) - 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -292 - -292.00008144. Round p to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20784827?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t = 2*t - 3*t - 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270*d + 174*d - 11988 = 0. What is the remainder when 93 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2563 - 4*w - 2556 + 5119 - 3*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1 + 0*m - 5*m**2 - m**3 + 0 + 0*m + 5*m. What is the remainder when u(-6) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.34241 rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (2 - -187 - -2). Suppose h + j - r = 0, 85 = h + 5*j - 89. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 41\/707 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 225164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8498657 divided by 17\nAnswer: 499921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 176602958*c**4 - 49*c**2 - 245732*c - 1 wrt c?\nAnswer: 4238470992*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1172 is divided by 210?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 48 - -151a?\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53.6 - 54. Let x = 50 + -49. What is the second smallest value in b, -3, x, -1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -2 + 9*2. Suppose -5*s = o - 64 - q, -3*o + 15 = 0. Does 13 divide ((-3)\/2)\/(s\/(-260))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + -12. Let b = q - -29. Suppose 3*z + 5*v = z + 39, 5*z + b*v = 66. What is the remainder when 21 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 131*g + 4769. What is h(-36)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -755 + 757. Solve -5*w = 3*y + 11, 0*w - 2*y = w - h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-25)*3\/(-36)*-10. What is the second biggest value in 1\/3, r, -4, -185?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144 - -161. Let m(y) = -y**3 + 19*y**2 - 20*y + 48. What is the hundreds digit of m(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-42) - 7*5\/(-60). What is the closest to 1\/3 in -4\/3, 44, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/(g**(-5)*g*g)*g)\/g)**(14\/11)\/(g*g*g*g\/g**(-4\/9)*g)**(-1\/41) assuming g is positive.\nAnswer: g**(26369\/4059)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*z - 34*z - 45*z - 58 to the form a + v*z and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k + 3. Let h be r(2). Let w = 0.0928 + 0.0572. Sort h, w, -2\/11 in ascending order.\nAnswer: h, -2\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2413 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: List the prime factors of 388.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**6\/60 + a**5\/15 + a**4\/12 - 5*a**2. Determine v so that s(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 264*s**3 - 2 - 594*s**3 + 261*s**3 - 2*s - 2 in the form t*s + y*s**3 + l*s**2 + a and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4 = s - 3*s, 2*s = -2*q + 4. Which is greater: -4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 4*k**2 - 48*k - 25. Let i be b(-9). Suppose -5*x - 523 + 97 = -2*o, -2*o + i*x = -426. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h - 7. Let q be k(10). Let f be (-39)\/q - (0 + -1). Which is the closest to 1? (a) f (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 28, 31, 36, 43, 52, 63?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 6*d + 32. Let t be h(-8). Calculate the greatest common factor of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -10*i - 2*q + 2, q - 3 = 0. Let n(f) = -2*f**3 - 2*f**2 + 3*f + 2. Let v be n(i). Solve v*w = o - 8, -5*o - 4*w - 10 = w for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1788099\/85 + 21037. Calculate the common denominator of w and -107\/96.\nAnswer: 8160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -4*f - 59, -45516*h - 75 = -45512*h + 5*f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4894313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*y**5 + 11*y**5 + 5*y**5 - 3*y**5 - y**5 + 3*y**5 + (2*y**2 + 0 + 0)*(-2*y**3 - 2*y + 2*y) + (0*y**4 - 2*y**4 - y**4)*(2 + 2*y - 2).\nAnswer: -12*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 7:54 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0*n - 57. Suppose -3*h = 5*o - n, 5*h + o = -0*h + 73. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -16*n**2 - 88 + n**2 - n**2 + 19*n - n**3 - 6*n**2. Let p be z(-23). Solve p*y - 29 = -5*m, 5*m = m - 3*y + 23 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24 and 3.3?\nAnswer: 79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1266, -1032, -798, -564?\n\"Answer: 234*p - 1500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(720) + -2*sqrt(720) + 0 + sqrt(720) + 3*(sqrt(720) + 1))**2*6.\nAnswer: 2592*sqrt(5) + 77868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-52) + -4*50\/52?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*((sqrt(510)\/((sqrt(20)\/sqrt(2) + sqrt(10))*5))\/(4*(sqrt(3) + sqrt(24)\/(sqrt(8) - -1*sqrt(8) - sqrt(8)) - sqrt(3)))*4)**2.\nAnswer: -17\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6, -65\/3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 86*p**2 + 95*p + 1584. Is b(-16) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + j - 3. Let a = -6 - -3. Let p be x(a). Suppose q = -p*m + 27, q = 2*q - 3. Is m at least 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b - 50 = 0. Let j be ((-5)\/10)\/((-2)\/(-24)). Let i = j + b. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25286846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szzysypyzvz. What is prob of picking 2 z?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from {x: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(12\/326*4\/24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*c**2 + 402*c**2 + 270*c**2 + 214*c**2 - 109*c**2 as y + b*c**2 + h*c and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*sqrt(45)*-2*-4*2 + 2))**2.\nAnswer: -192*sqrt(5) + 11524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.47 - -10.53. Let y = 14 - i. What is the third biggest value in -0.5, 5, y, -4\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -146 - -145.9794. Let r = h + 0.02059734. What is r rounded to seven dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/87 and -61\/4.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3035 and 53939234.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 10. Let u be 3*2 + -5 + 3. What is the second derivative of -2*t + u*t**5 + 121*t**2 - 121*t**k wrt t?\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15311222 + 5?\nAnswer: 15311231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4179034 and 116.\nAnswer: 242383972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000464263209 rounded to 7 dps?\nAnswer: -0.0004643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*r**2 + 33*r - 8*r**2 + 29*r**2 - 272*r - 42*r**2 - 1.\nAnswer: -47*r**2 - 239*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least as big as -2678\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j + 11. Give t(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-216)\/(-45) + -5 - 0\/(-12).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00094021793 to 7 decimal places.\nAnswer: 0.0009402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*u**2*x**2*z + 8405021*u**2*x*z + 3*u*z - 1142*u - 22190*x**2*z wrt u.\nAnswer: 72*x**2*z + 16810042*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166199978?\nAnswer: 2, 7, 23, 41, 12589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 36. Let m be h(-35). Let a be (4900\/63)\/14 + m. Determine w so that -5\/3*w**3 - 8\/3*w - 4\/9 - a*w**2 = 0.\nAnswer: -2, -2\/5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*u + 101*u = -3*h + 633, -4*h = -12. Calculate the remainder when 168 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**8\/6720 + w**7\/504 + w**6\/144 + w**5\/30 - 5*w**4\/24 + 4*w**2. Let k(r) be the second derivative of g(r). Give k(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-11)*t*t)\/t**(-2\/37))**18*(t**(2\/9))**(-35)*(t\/(t*t\/(t\/t**(-2))))\/(t\/(t\/(t\/(t\/(t**(-1\/10)\/t))))) assuming t is positive.\nAnswer: t**(-551797\/3330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 211, -5 in descending order.\nAnswer: 211, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 9 + 2)*(3*h**3 - 2*h**4 - 3*h**3 + (3 + 3*h**2 - 3)*(0*h**2 - 2*h**2 + 3*h**2)).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76138 + 95607 = 35*q. List the prime factors of q.\nAnswer: 7, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*i = 1 + 35, -i = 5*r - 64. Suppose 0 = m, r + 28 = 4*w + m. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/24 and 23\/4154040.\nAnswer: 4154040","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.084 + -0.11. Let u = l + -0.384. Let q = 0.11 + u. Which is the closest to 0.1? (a) 2\/9 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2483.154 + -2481. Let r = m + -0.154. Which is the second biggest value? (a) r (b) 3\/4 (c) 0 (d) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7788 + -35.7488. Let l = -35 - m. Let j = -0.0298 - l. What is j rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 12*v + 28. Let q be j(-12). Suppose 32*k - q*k - 4292 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2391 - 620 = 23*f. Solve 0 = -33*c - f + 275 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 137534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016248698 to four dps.\nAnswer: 0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -8. Let t(k) = k**2. Let v(m) = f(m) + 2*t(m). Factor v(p).\nAnswer: 2*(p - 2)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*b + 46 - 18, -4*b + 2 = j. What is the remainder when 315 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1006 - 1014 = 8*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-4))\/(3\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(99)*-4*4 + -1 + (sqrt(99)*-2 + -2 - sqrt(99)))**2.\nAnswer: 570*sqrt(11) + 35764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 4*k**2 + 4*k - 2. Let d be w(-5). Solve t + 3 = -u, 4*u + 21 = d*t - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1856 is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*f**4*x + 15*f**4 + 29*f**3*x**2 - 122*f**2*x**2 - 129*f**2 wrt f.\nAnswer: -504*f*x + 360*f + 174*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9293 + -9293.000004097. What is h rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 4 (b) 1\/3 (c) 2 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 11.3. Let v = g - -7. Let s = -65 - -65.5. Which is the third smallest value? (a) -1\/4 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 19453.97 nanograms?\nAnswer: 0.00000001945397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -362.9 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2b1 (base 15) to base 14\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/5 - 57*y**2\/5 - 267*y\/5 - 207\/5.\nAnswer: 3*(y - 23)*(y + 1)*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 11, 0.067, 319, -0.1?\nAnswer: 319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1086249 and -89\/702867?\nAnswer: 11948739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 20*s**2 + 1. What is k(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/61358 and -81\/20.\nAnswer: 613580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4919+-453636\nAnswer: -448717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3062.499613 to 1 decimal place.\nAnswer: -3062.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9114*f - 2979*f - 2909*f - 2779*f to c + r*f and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-1)*k*k**(4\/7)*(k**1)**(34\/7) assuming k is positive.\nAnswer: k**(59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.02 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.03 - 4.83. Which is the second smallest value? (a) -2 (b) q (c) -4 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087944 divided by 1?\nAnswer: 1087944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13179 and 417717.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*h**2 - 12*h**2 + 7*h**2 + (0*h**2 + 3*h**2 - 2*h**2)*(3 - 5 + 1) - h**2 + 0*h + 0*h as u + b*h**2 + f*h and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 0. Let d = r + -1. Suppose -5*s - 4*q - 8 = 0, s - d*q - 4 = 2. Which is the biggest value? (a) 1\/3 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - w**2 - 4*w + 3. Let l be f(2). What is the biggest value in 5, 0, -0.3, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 10 (c) 7.2 (d) 723 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + 5*-2*sqrt(13) - ((sqrt(130)*-2 + sqrt(130))\/sqrt(10) - sqrt(130)\/(sqrt(10)*2))**2.\nAnswer: -10*sqrt(13) - 97\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/8)\/(6*2\/84)*2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*k + 8 = 0, 0*i = -i + k + 6. What is the remainder when 96 is divided by i\/(-19) - 15136\/(-836)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -136*a**2 - 1015*a + 609. Give n(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001077 to six decimal places.\nAnswer: 0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/9 (b) 3 (c) -1.3 (d) 1\/6 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 6*l**2 + 346*l + 1912. Calculate k(-6).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011 + -8?\nAnswer: -8.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = z - 5*p + 6, 4*p + 26 = 2*z. Let y(r) = z*r - 5*r + 3 + 2*r - 5*r. What is y(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 6. Suppose -q*o = -5*x - 43, -4*o + 2*x = -5*o + 17. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9030*q**2 + 12258*q**2 - 2366*q**2 - 2896*q**2 in the form g + l*q + m*q**2 and give m.\nAnswer: 16026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12 - (3 - 1))\/(-1). Suppose -m - 4 = 5*d - h, -7 = d + 2*m. Solve d + 2 = -5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/871 and -41\/78.\nAnswer: 5226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = n - 5*d + 11, 5*d - 55 = -2*n. Solve -13 + n = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d**3 - 5*d + 5. Let v be (10\/(-6))\/((-2)\/(-6)). Let j(b) = 3 + 80*b**2 - 4*b**3 - 80*b**2 - 3*b. Determine v*j(u) + 3*i(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 1444000070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + -4 + 56 + 20 + -84.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 20*z**2 - 34*z + 44. Determine d(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/129 and (-9)\/(-72) + (-39715)\/4920 + 8?\nAnswer: 10578","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10248\/55 = 187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(96)\/(-5*sqrt(4)))\/((sqrt(64)*5)\/sqrt(8)).\nAnswer: -1 - sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 94*3\/(-6)*(-5 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97 - -96. What is the units digit of (-6)\/r*39\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -4 + 1 + (-2 - -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -271.366 times -4.22?\nAnswer: 1145.16452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(270\/(-132)))\/(4*(-21)\/1050).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*a - 6 = 0, 2*m = 2*a - 0 + 14. Suppose 0 = -o - m*o + 18. Solve -o = 3*t - 2*h, -5*t + 3*h - 5 = 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1184 and 1828873?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1791 - 1789. Calculate the highest common factor of a and 2234.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**4 + q**4 + 0*q**4 + (-3*q**2 + 5*q**2 - q**2)*(-2 + 2*q**2 + 2) + 6*q**4 + 0*q**4 + 2*q**4)*(4 + 1 + 9) + (-5 + 2 + 1)*(-1 + 2*q**4 + 1).\nAnswer: 150*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1431*h - 1713*h = 1128. Let a(l) = -3 + 5 + 3*l + 7. Give a(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8666 = -12*a + 8330. Suppose 2*m + f + 50 = -10, 4*m + 128 = -4*f. Is m > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 2*n - 11, 3*n + 343949 = 343955 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*10\/(-2) - (-56)\/10.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knv when three letters picked without replacement from {m: 4, k: 6, n: 1, v: 6}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -6. Let u = o + -1. Let v = 12 - u. Solve -3*r - n = -6*n, -v = r + n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10349, 20699, 31049, 41399?\n\"Answer: 10350*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {i: 2, n: 1, j: 1, x: 1, p: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**3 + 3826722*h**2 + 1220198135076*h - 75666995009064 = 0?\nAnswer: -637818, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2482 from -0.0433297.\nAnswer: -2482.0433297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - -5. Let q = 68 - 38. Suppose -3*p + 5*p - 2*j = d, j + q = 3*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*36\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r + 423 = 525. Let g(l) = 43*l**3 - 3. Let v(c) = 216*c**3 - 16. Calculate r*v(s) - 16*g(s).\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*k**2 + 8*k - 9*k - 11*k + 0*k**2 + 4*k**2 + 3 wrt k?\nAnswer: 16*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*i - 1518 - 1400 = 764 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s + 0*s + 3*s + 30*s - 137*s + 69*s + (-14 - 24 + 10)*(-3 + 3 - s) to h + k*s and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 - -71. Let k be 547*(f + (-3 - -6 - 3)). Suppose k = 4*j + 5*n + 130, -111 = -j + n. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (740\/(-16))\/(-5) + 4 and -50\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4*x - 39, -5*x + 4*x + 138 = -5*v. Let c = -27 - v. Solve c = -0*g + 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 11. Let y(k) = 2*k**2 - k. Let t(g) = 3*g**2 - 3*g. Let r(p) = h*y(p) - 3*t(p). What is the second derivative of r(v) wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -6*v + 4. Let d(w) = w**2 - 3*w - 2. Let n be d(5). Let t be l(n). What is the units digit of (t\/10)\/(4\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 2620510421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-441)*(-3843)\/366.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-33)\/2)\/(1\/(-3 - 5)). Let q = 141 - j. What is q rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1216 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 14*p**2 + 102*p + 1131. Let i be x(-16). Solve i*s - 12*s + 5 = 0, -11 = 3*a - s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 8:56 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -108088823\/928 - -116475. Calculate the common denominator of 131\/12 and s.\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 79 = -4*o, 1230*o - 1225*o + 5*f = 95. Solve -50 = -k - 47, -4*m + o = 4*k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1061, 2663, 5339, 9089, 13913, 19811?\nAnswer: 26783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2. Let h(l) = 62*l**2 + 1. Let f(n) = 126*n**2 + 2. Let r(c) = 6*f(c) - 11*h(c). Give r(d(v)).\nAnswer: 74*v**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 581, 586, 591, 596?\n\"Answer: 5*b + 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/12 - 5\/5. Let g = -3 - -3.4. Let h = -0.1 + 0. What is the closest to 0 in g, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -1567*r**2 + 498303*r + 1001. What is h(318)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*f**6 + 7*f**5 - 671*f**2 wrt f.\nAnswer: -2880*f**3 + 420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19773 = 5*n + 2*i, -6*n + n = 4*i + 19781. Let b = 5902 + n. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.056951215 + 0.437.\nAnswer: 0.380048785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 70639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 19 (b) -1\/10 (c) 10.9 (d) -3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, v: 2}. Give prob of sequence va.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8040025*v**2 - 9109660*v wrt v?\nAnswer: 16080050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -1, -3, 110\/63?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-550)\/15)\/11*2076\/8. Let h = q - -9323. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 13 + 19 - 3*n**3 + 0*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.52 - -19.52. Which is the smallest value? (a) 0.2 (b) -1\/2 (c) h (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t + 2*t + t + (0 - 4 + 1)*(t + 2*t - 2*t) - 2 + 2 - 2*t)*(1 - 2 + 2)*(35 + 3 - 1) in the form d*t + y and give d.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2008 - 0.116. Let d = 23.4902 + y. Let x = d - -0.325. What is x rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5241839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*s + 31, 9 - 4 = 5*f. Suppose 34 + s = -5*h. What is the closest to h in 4, 0, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58342884?\nAnswer: 2, 3, 4861907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by 112648.\nAnswer: 19\/56324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.553093801 rounded to three decimal places?\nAnswer: -11.553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -3*d**2 - 1\/60*d**5 + 0 - 17\/3*d**3 + 0*d - 11\/12*d**4. What is the smallest common multiple of p(-18) and 8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*(r*r\/((r*(r\/r**(6\/5)*r)\/r*r)\/r))\/r*r)))\/(r**10\/r))**33 assuming r is positive.\nAnswer: r**(-1122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.96 (b) 52 (c) -0.3 (d) 0.6 (e) 5 (f) 2 (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -354 by 244.\nAnswer: -177\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13\/(-10) - 196\/(-245))*-10. Let r(s) = -6*s**3 - 12*s**2 - 5*s + 8. Let c(p) = 5*p**3 + 11*p**2 + 4*p - 7. What is f*c(z) + 4*r(z)?\nAnswer: z**3 + 7*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -196 - (-223 - (-150 + 25)).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 31356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1803*q - 1806*q - 5 = -2*x, x + 10 = -q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, y: 1, z: 1}. Give prob of picking 3 w and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -40, -169, -372, -643, -976?\n\"Answer: n**3 - 43*n**2 - 7*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 112, 1271, 4 in descending order.\nAnswer: 1271, 112, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2297 and 228393007?\nAnswer: 2297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10038 (base 11) in base 15?\nAnswer: -453c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/((-25)\/9470))\/(-2) - -2. Differentiate -p + 935 - 146*m**2 + 28*m**2 with respect to m.\nAnswer: -236*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6053135963 and -0.5.\nAnswer: 6053135962.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 236 - -18a37?\nAnswer: 18c6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74 + 40. Let y = 63 + n. Suppose -l - 16 = -y. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 669760 divided by -1610\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 m when three letters picked without replacement from {i: 4, m: 3, t: 5, q: 1, k: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44262 + -604?\nAnswer: -45166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 390\/40 + 9\/(-12). Suppose q = -o + 4*o - 3*m, -5*m - 15 = -2*o. Solve 5*i - 6 = 4*p, -4*p + p + 5*i - 2 = o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 2*a - 2, 3*o - a - 2 = 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 102\/90 - 4\/3\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 10:51 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 12*p**3 + 4*p**2 - 3*p + 22. Let d(r) = -10*r**3 - 3*r**2 + 2*r - 21. Determine -3*d(j) - 2*o(j).\nAnswer: 6*j**3 + j**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*k + 1 = -1, 0 = -2*j - 4*k - 36. Let u be (j\/(-4) - (-1 - 2)) + -1. Suppose 9 + 7 = -u*w. Which is smaller: w or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 16, 37, 64, 97, 136?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2016 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 12 = 3. Let u be (1*4)\/(2\/6). Suppose -5*j - k*s = -0*s, 0 = j + 5*s + u. What is the remainder when 7 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 35 (b) 24 (c) 0.2 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 135\/(-60) + 3*5\/60 - -3. Put -77, 7, -4, r in decreasing order.\nAnswer: 7, r, -4, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -9*f**2. Let z(y) = 23*y + 7. Give d(z(x)).\nAnswer: -4761*x**2 - 2898*x - 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 138, 335, 664, 1125, 1718, 2443?\n\"Answer: 66*x**2 - x + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 198 = -57*k + 224 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i - 4 + 4)*(20396 - 91*i - 62*i - 20377) to l + d*i + y*i**2 and give y.\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4302*f - 35. Let a be s(-2). Suppose 0 = -d - 18*d + a. What are the prime factors of d?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -196.66 + 217.66. Let a be (-60)\/(-14) - (-2)\/(-7). What is the second biggest value in p, a, 1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6269500 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*x - 1 = -0*x, -2*f + 4 = x. Solve 0 = -f*v - 4*b - 2, 5*v - 3*b - 2*b - 20 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from jtwbuuw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * 13.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1404405206 - 36061563. Let k = c + 1440466787.99999978. Let s = k + -19. Round s to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h - 240 = -19*h. Calculate the greatest common factor of 20 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 7.2. Suppose 3*j + 6 = 3*i, -2*j + 2*i - 6 = 2*j. Which is the closest to 0.2? (a) j (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g - 1\/3*g**3 + 0 - 1\/3*g**4 + 5\/3*g**2.\nAnswer: -g*(g - 1)**2*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13405, -26825, -40247, -53671, -67097?\n\"Answer: -b**2 - 13417*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*r - 52 = 29*r. Let u(k) be the third derivative of 0*k + 7*k**2 + 0 - 1\/180*k**5 + 0*k**3 + 0*k**r - 1\/360*k**6. Factor u(n).\nAnswer: -n**2*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 0*w - 5*r - 11, 2*w - 9 = 11*r + 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12602 times -6\nAnswer: -75612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5056371*r**3 + 294*r**2 - 2*r - 1844?\nAnswer: -30338226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + a**2 - 2*a - 21. Let f(m) = -7 - 4*m**2 - 2 + 0*m**2 - 25*m + 5*m**2. Let n be f(25). Is r(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 5:33 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 12*p**3 + 9. Let o(h) = h**3 + 1. Let z = -54 + 63. Determine z*o(q) - f(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgxdxlggxwy. Give prob of picking 1 x and 1 w.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 51914557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 0*c**2 + 9*c - 13 + 10\/3*c**3. Differentiate v(t) with respect to t.\nAnswer: 20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 5*o - 13*k - 8 = -2*o, -5*o - k = 100 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80866.7 tonnes to nanograms.\nAnswer: 80866700000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27922 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-2))\/(14\/(-4) + 3). Solve 0 = p*j - m - 7, j - 4*m = 2 - 18 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 8*c - 4. Let h(r) = 2*r + 4. Let p be h(1). Calculate s(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*a**3 - 13*a**3 - 13*a**3)*(-1019*a**2 + 215*a**2 - 6 + 19 - 13).\nAnswer: 12060*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 3. Let j be (1 - n)\/((-1)\/(-1)). Suppose j = -3*u - 24 + 18. Which is smaller: u or -0.6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 382 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x**2 - x + 3. What is the remainder when l(-2) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -82, -2\/7 in descending order.\nAnswer: 0.1, -2\/7, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = -3*s - 3*y, 4*y + 36 = 4*s. Sort -7, -2, s, 3 in descending order.\nAnswer: s, 3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5316497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + -2. Let x = -3.8 - w. Let h = -6.19898 + x. What is h rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - g - 2765 = 0, 2*t - 522 - 557 = -5*g. Let c = 622 - t. Calculate the highest common divisor of 130 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 8*m - 130. Let c = m + -1. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*m + 3. Let v = m - -6. Find the third derivative of -y**3 + y**2 + 2*y**3 + 0*y**v wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28313, -113171, -254589, -452567, -707105?\nAnswer: -1018203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/33, 68, 5, -1\/3, -3?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/3 (b) 10 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/72 - 29\/(-9). Let x(o) be the first derivative of 0*o**2 + 1\/3*o**w + 3 + o. Differentiate x(j) with respect to j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138607.\nAnswer: 7, 19801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*w - 5*w = 145, 8 = 4*w. Let c be 2 + 1 + r + -13. Let q = c - 18. Solve 0 = -5*p + 5, 4*s - q*p = -s - 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 945 and 30?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3129 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -10*x**3 - 24*x**2 + 92*x - 13. Let i be l(2). Let h(j) = 2*j - j - 8 - 1. Let b be h(6). Put i, -4, b in ascending order.\nAnswer: i, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23bd (base 15) in base 16?\nAnswer: 1db3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 1\/4 (c) -2\/39 (d) 4\/2443\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + 6*s - 2. Let h(b) = -5*b**2 + 17*b - 5. Let w(z) = 3*h(z) - 8*u(z). Give w(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46445\/24579 + -2\/2731. What is the common denominator of f and -12\/19?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 - 29*k**2 + 59*k - 49. Calculate w(12).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/3 + 0)*(6 - 582). Suppose 26*m = 20*m + a. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/5)\/2*10\/24?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1\/2 (b) 0.04 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12278977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -116 - -140. Suppose -3*a - 387 = -4*x, 3*x - 6*a = -2*a + 292. What is the greatest common divisor of x and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -5*p - 5*n, -2*p - 5*n - 15 = 3. Let m = -17 - p. Let b be (-9)\/(18\/m) + -1. Solve -b*j = j + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 55*q - 53*q + 12 = 0, -4*c - 3*q - 11 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5005456 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101376 by -16.\nAnswer: -6336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-129216)\/69992*(-65)\/76?\nAnswer: 30\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 5*c**2 + c - 11. Let r be o(5). Let q be r*(0 + 16\/(-12)). Suppose -3*w - w = -q. Solve 2*p = w, z - 4*z - 3*p + 6 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**4 - 4*m**4 + 7*m**4)*((-3*m + 2*m + 0*m)*(0 + 0 + 1) + 4*m + 40*m - 12*m).\nAnswer: -31*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1.4, 779, 426 in decreasing order.\nAnswer: 779, 426, 3, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 47757 = -3*x, 55 = -x + 62. Does 51 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6112 less than or equal to 6296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -3.4. Let c = -0.5 + l. What is the closest to c in 1\/3, -4, 4\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2567202 is divided by 1511?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000345365 to 5 dps.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -669?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 183*a**5\/2 - 71949*a**4\/2 - 30339*a**3 + 78042*a**2 - 11820*a = 0?\nAnswer: -2, 0, 10\/61, 1, 394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -255047 less than -4266665?\nAnswer: -4011618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*o**3 + d**3*q**2 + 6*d**3*t + 4*d**3 - 4*d**2*o**3*q*t - 2*d**2*o**3*q + 2*o**2*t + 7*o*q**2 wrt d.\nAnswer: 6*o**3 + 6*q**2 + 36*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 * -0.45\nAnswer: -0.0765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 465*l + 1374. Give q(-5).\nAnswer: -951","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(12\/3))\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -4.5. Suppose 4*x = 17*x - 39. Let t be 0 - 6\/(-16)*x\/9. Which is the closest to 0? (a) t (b) j (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 12. Let v = p + 20. Let q(y) = -y**3 + 12*y**2 + 14*y - 17. Let x be q(13). Put x, -3, v in decreasing order.\nAnswer: v, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31304 + -21404. Round k to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -666191 + 5?\nAnswer: -666187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28217408 - -0.088.\nAnswer: 28217408.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -12\/462031 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58198636 divided by -29099318.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 + -3 + (7 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(52))*-5.\nAnswer: -10*sqrt(13) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/13846 and 67\/280876.\nAnswer: 1966132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 46624238 to the power of 1\/3, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*-2 - (-69 + -18 + 44). Let n be (40\/(-12))\/(-2)*117. Calculate the highest common factor of c and n.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/52 and 109\/20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.11 + -0.11. Let z = -8.705 - 0.095. Let d = j + z. Which is the closest to -1? (a) 0.5 (b) d (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 46. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c - 5*z = -700, -z + 692 = -3*c. Let s = 370 + c. Let i = 32 - -16. What is the remainder when s is divided by i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 68672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6325, -6309, -6265, -6181, -6045?\n\"Answer: 2*w**3 + 2*w**2 - 4*w - 6325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 3*n + 111 - 69 = 0, 8*t + 22 = -2*n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 43906*o**2 + 22*o - 1. Is k(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -3, -157.295, 5\/4, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 24*h - h**3 - 2 + 9*h**2 + 0 - 10*h - 12. Calculate the remainder when z(10) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-6)*k*k**(-2\/11))\/((k\/k**(-1\/7))\/(((k\/k**(3\/5))\/k)\/k)) assuming k is positive.\nAnswer: k**(-2666\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95 - 28*m - 20*m**3 - 189 + 94 wrt m?\nAnswer: -120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**7*r**(2\/29)*r**(1\/20)*r**(3\/4))**(-31) assuming r is positive.\nAnswer: r**(-35371\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - (3 + -5))*(-1)\/(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*((sqrt(567) + 2)*3 + -3 + -2*sqrt(567) + sqrt(567) + sqrt(567)))**2.\nAnswer: 2592*sqrt(7) + 81792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 40315?\nAnswer: -161260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 5*l - 6. Let w(i) = i**2 + i. Let g(c) = -r(c) - 2*w(c). Let h(f) = -f**3 - 9*f**2 - 6*f + 9. Let z be h(-8). What is g(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - o - 7, -16 + 31 = -3*o. Which is bigger: g or 20\/103?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 + -97?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 2. Let c(y) = -y**3 - y**2 + 3*y + 3. Calculate the lowest common multiple of 3\/(-1)*(-4)\/6 and c(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -868255 (base 9) to base 11\nAnswer: -32403a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.44 - -0.5. Let u = a - -3.94. Let d be (-20)\/(-16) - 6\/4. Which is smaller: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.1 + -0.1. Let v = 17\/10 + -11\/5. Which is the second smallest value? (a) v (b) -2\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4 = -3*z, -2*u = -4*u - 5*z + 17. Let i = -0.19 + 0.59. What is the smallest value in u, -0.1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 times -9.846?\nAnswer: -1073.214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67818?\nAnswer: 2, 3, 89, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3 + 4*s - 3. Let b(k) = -k**2 - 2. Let l(y) = y**2 + 1. Let m(t) = -b(t) - 2*l(t). Give m(x(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*b + 6*b**2 + 18*b)*(-19 - 15 + 7)*(-6*b**2 - 541*b + 541*b).\nAnswer: 972*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 7:54 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 4) + 3 + 3. Which is the biggest value? (a) v (b) -7\/3 (c) -1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4 = -2*c, -3*c + 2*a = -2*c - 2. Let o(r) = 5*r**2 + 0*r - 1 - 2*r - r**c - r**3. Let m be o(3). Solve 5*b + 3 = 3*k, -k - m*k + 2*b = -3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54115 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 6. Suppose -4*s - 3*q = -2*q + 4, 0 = s - 4*q + 1. Which is the nearest to s? (a) 0 (b) t (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -166, -1483, -5100, -12181, -23890, -41391?\n\"Answer: -194*h**3 + 14*h**2 - h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1526 - 1526. Solve 4*o + 22 = 5*g, o - 4*g + 5 + 6 = a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462.1841km in centimeters?\nAnswer: 46218410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2926 + -2946. Do q and 3\/31 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 65, 46, -7, -112, -287, -550, -919, -1412?\n\"Answer: -3*a**3 + a**2 - a + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5749\/1700 smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, t: 7}. What is prob of picking 2 t?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 16*x**2 + 16*x - 15. Let t be f(-17). Suppose 6*w - t*w + 4*n = 56, -2*n - 12 = -2*w. Solve 4*s - 6 - w = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1257586, -1257573, -1257560?\nAnswer: -1257547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2051263 - 0?\nAnswer: 2051263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 26ac (base 14) to base 4\nAnswer: 1222200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 2.32.\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-9 + (7 - (9 + 7)) + 19).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 4 - 4)*(-n**2 + 0*n**2 + 4*n**2) - 2*n**2 + 3*n**2 + 7*n**2)*(138*n - 162*n + 93*n) to h*n + i + a*n**2 + u*n**3 and give u.\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208740?\nAnswer: 2, 3, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.132 + 0.15. Let d = c + -0.328. Let l = 0.30999 + d. Round l to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - 5. Let x(l) = 8*l**2 - 6*l + 2. Let z(g) = -g**2 + g - 1. Let v(c) = -x(c) - 4*z(c). Let u(q) = 21*q**2 - 11*q - 11. Calculate d*v(i) - 2*u(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*n - 12. Suppose t + 4*r - 4 + 1 = 0, 89 = 3*t - n*r. Let z = 6 - 2. Solve -z*f = 3 - t for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 10 = -3*m. Suppose -4*v + 4*l + 34 = -2*v, -m*v + 26 = -2*l. Let i = 57 + -40. What is the remainder when i is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 23011560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 3*s**2 - 5*s - 1. Let o be t(-4). Let d = o + -1. Solve d*j + 3 = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*o**2 - 16*o + 29*o - 12*o + o**3 + o**3 - 3*o**4 + 1 + 2*o**4 to the form y*o**2 + n*o**3 + f*o + r*o**4 + t and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) -51 (c) 72\/17 (d) -89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -101\/4. Let p(i) = 11*i - 2. Let a be p(2). Suppose -3*t = t - a. What is the nearest to 0.1 in y, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1213858 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93269881?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j - 21. Let a be o(11). Let y = -65 - -62. Put -0.4, a, -4\/9, y in decreasing order.\nAnswer: a, -0.4, -4\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k = 1284. Let u = k + -284. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.3? (a) -5 (b) -0.03 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 24528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5.27 and 115399.1941257.\nAnswer: 115393.9241257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3465 = 2*l, -24*l + 4*z = -23*l - 1750. Calculate the greatest common divisor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60*m**3 - 2066*m + 271285.\nAnswer: -180*m**2 - 2066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 12:49 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1*1\/(1\/1267)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zll when three letters picked without replacement from {l: 3, z: 3, e: 5, q: 5, i: 2}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g*w**3 - 3436*g*w**2 - 66*w**3 + 500*w wrt g?\nAnswer: -2*w**3 - 3436*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**2 - 3*m**2 - 7*m**2 - 8 + m + m**3. Let q be s(6). Let j be (-1)\/(-36) + q\/8. Does j = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -439210, 300 in ascending order.\nAnswer: -439210, 0, 300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 7*d**5\/80 + d**4\/24 - 4*d. Find a, given that r(a) = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 94537542 + 13639793. Let n(b) = 14577336*b**2 - b - 2. Let r be n(-1). Suppose -6*a - r = -h. Round a to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.64815 months in centuries?\nAnswer: 0.108040125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + -1 + 4 - sqrt(98))*-2 + -1 - (sqrt(98) + (sqrt(98) + -4*(sqrt(98) - (sqrt(98) + sqrt(98) + -1) - sqrt(98)) - sqrt(98)) + 5 + 2))**2.\nAnswer: 1260*sqrt(2) + 8038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 36*g**2 - 5*g - 5. Suppose 0 = -s - 5*v - 11, -3*s + 2*v + 44 = -7*s. Let i(u) = 7*u**2 - u - 1. What is s*i(c) + 2*b(c)?\nAnswer: -5*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o. Suppose 0 = 727*p - 729*p + 2. Let k be z(p). Solve 0 = 6*g - 3*g - k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2. Let w(k) = -24*k. Let i(v) = 3*v. Let f(b) = 33*i(b) + 4*w(b). Give f(u(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 at least -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-80)\/(-36) - 2)*3*3. Suppose -5*d - y = -17. Suppose 2*m - 4*b - 54 = 0, -106 = -4*m - d*b + 35. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.163 minus 128732716963?\nAnswer: -128732716963.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 3*s + 6, -3*x = -3*s - 30 + 24 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 26459 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -274169584*r**4 - 117531*r**2 + 19*r.\nAnswer: -6580070016*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -3432541, 2 in ascending order.\nAnswer: -3432541, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 187, 293?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1028*m - 90 = -1018*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k**2 - 3*k**2 + 0*k**2 + 2*k**2 + 1 - 1 + (-4*k + k + 4*k)*(-k - 1 + 1))*(3*k**2 - 2*k + 2*k) as c*k + q*k**2 + r + d*k**3 + l*k**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14076 and 345?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 502 - 506.049. Let u = -0.049 - h. What is the nearest to 2 in 2, u, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 10*d**2 - 30*d - 7. List the prime factors of a(-7).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h + 9. Let g(p) = -p + 5. What is -5*g(x) + 3*m(x)?\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and 28400339?\nAnswer: -284003390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2.8*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72\/5*q**2 + 128\/5*q - 12 + 4\/5*q**4 + 0*q**3.\nAnswer: 4*(q - 3)*(q - 1)**2*(q + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 1:30 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2543792832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 11 = 3*h - 41, 4*h - 4*z = 36. Suppose -4088*g = -4158*g + 140. What is the least common multiple of h and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 7. Give k(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 39*b**3 - 5*b**2 - 5. Let d(n) = 118*n**3 - 16*n**2 - 16. What is 5*d(m) - 16*g(m)?\nAnswer: -34*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 103624439 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: Let m = -0.9 + -0.1. Let p = -8 + 3. Which is the second biggest value? (a) 3 (b) p (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2249 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9089, 8833, 8577?\nAnswer: 8321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 158*i**3 - 2*i + 291.\nAnswer: 474*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3, 2, -4, 0, 76 in decreasing order.\nAnswer: 76, 2, 0, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32.51 + 27.51. Let w = -2.8 + -0.2. What is the second biggest value in p, -0.5, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 48, -118705.\nAnswer: -118705, -3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6420)\/(-1712))\/(5\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -0.1 (c) -474\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j**2 + 36*j**2 + 28*j**2.\nAnswer: 51*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 570 + -23?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 1. Let p(g) = 5 + 4*g - 1 + g + 1. Let z(y) = -6*k(y) + 3*p(y). Let b(t) = 7*t + 4. Let m(o) = 13*b(o) - 6*z(o). Calculate m(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 2184\nAnswer: -4368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kggiykrkknryng. What is prob of sequence kr?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6775 is divided by 1083.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -6 (b) -2 (c) 0.04 (d) -204 (e) -0.1 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 14 = -0*u + 4*u, 0 = 2*u + 5*q. Let l = u + 8. Suppose l*a - 10 - 23 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z = -43*z + 2736. What is the remainder when z is divided by 63?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wiiw when four letters picked without replacement from iiwiiiwiiiiiiw.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1803?\nAnswer: 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 3*l + 13\/105*l**7 + 0 + 92\/3*l**3 + 1\/4*l**4 + 0*l**5 - 34*l**2 + 0*l**6. Differentiate z(s) wrt s.\nAnswer: 104*s**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 272 - 242. Calculate the remainder when u is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57689 divided by 18?\nAnswer: -57689\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*l + 4632 = 0, 2*l - 3526 = -2*a + 1070. Calculate the lowest common multiple of 3845 and a.\nAnswer: 11535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 50372916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 8*o - 6. Let g be b(-5). Let u = g - -33. Suppose -20 = -3*k - 2*k. Calculate the least common multiple of k and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351320?\nAnswer: 2, 5, 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 3*i**2 + 4*i + 2. Let k be l(-4). Let u(a) = -a**3 - 9*a**2 + 1. Let y be u(-9). Let d = 1031 + -1031. Put d, y, -9, k in descending order.\nAnswer: k, y, d, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-11)\/33*26\/(-10)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10925491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*m + 17 = 0, -4*l + 2*m + 4 = -8*l. Let n be -5 - ((l - -8) + -11). Put -4, n, 1, 4 in descending order.\nAnswer: 4, 1, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441175 is divided by 220583?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -889*n - 2. Let u be g(-2). Suppose -3*p = -u + 435. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h = 3*i - 21, -3*h = 3*i + 21. Let g = h - -10. Which is the second smallest value? (a) -0.1 (b) -1\/2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b + 28*b + 278 = 5*v, -107 = -2*v + 5*b. Calculate the greatest common divisor of v and 994.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 8:59 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akk when three letters picked without replacement from {o: 1, k: 3, a: 2, y: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004279671899 rounded to 7 dps?\nAnswer: -0.000428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 10994*q - 901513. What is y(82)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 0, c - 3*y - 1 = 2. What is the smallest common multiple of 12 and (30 - -6)*(-1 + 4\/c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*-1*-1*5 - 2*(0 + sqrt(18)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.11 + -3.89. Suppose 0 = -3*c + 63 + 27. Let y be (2\/(-5))\/(21\/c). What is the third biggest value in 1, y, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.158+28481966\nAnswer: 28481965.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*3\/63*4*(-1)\/5.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and 523177?\nAnswer: -15695.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81.2 + -79. Let i = q - 5.2. Is i bigger than 2\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - o**2 + 4*o + 2. Let i be m(-3). What is the units digit of 0 - -6*4\/i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7921296.\nAnswer: 2, 3, 55009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 4:39 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -151*q + 1849. Calculate k(14).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*h + d = -45*h + d - 2*d - 64, 2*h - 11*d = 543 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 8*a**3 + 12*a**2 - 47*a - 117. Let t(i) = 15*i**3 + 25*i**2 - 95*i - 235. Let z(h) = 5*l(h) - 3*t(h). Determine g, given that z(g) = 0.\nAnswer: -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/3*-9 - 104\/36. Let a(o) be the first derivative of 1\/4*o**4 - 1\/3*o**2 + 0*o + 4 - c*o**3. Suppose a(t) = 0. Calculate t.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3165 and -27635 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 9:41 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ool when three letters picked without replacement from sesloseseeereoro?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/24*10 + 10\/2. Solve 2*g + 5*s - s - 2 = a, 4*g - 2*s = 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 + 4. Let z(c) = 4*c**2 - 7. Suppose -7 = 2*m + 1. Calculate m*z(o) - 7*q(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 11 = 2*o. Sort 5, 1, o, -1\/6 in increasing order.\nAnswer: -1\/6, 1, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 2*m + 160 = 0. Suppose -2*f - 3 = -19. What is the greatest common factor of f and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 1. Suppose -2*z - 2*c + 10 = 0, -2*z + 0*c + 9 = c. Let u(o) = -o**2 + 3*o - 1. Let m be u(z). Determine i(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 224826 or 224827?\nAnswer: 224826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -96 + 1?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.2 and 0.0441192?\nAnswer: 5.2441192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3042 and 4384874?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2560470092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**4\/4 - 5*u**3\/3 + 3*u**2\/2 - 2*u - 3. Let g be b(-6). Suppose -p - 4 + g = 0. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-24)*(43 + 1). Suppose 70 - 15 = p*w. Solve 4*g - w*n = 37, 0*g + 4 = 3*g + n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(4)*1)\/sqrt(2).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.1 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -11. Which is the second biggest value? (a) -2\/15 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gntu when four letters picked without replacement from nztunutzuuuugzgngn.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -4 + 5 + (-36)\/(-17)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 1384 = 4*n - 1368, -96 = 4*n - 19*r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97536\/5 - 1282668\/65. Let a = l - -226. Let g = 0.01 - 0.01. What is the closest to g in 0, a, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -42, -37, -36, -45, -70, -117?\n\"Answer: -x**3 + 4*x**2 - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 23\/2. Suppose 42 = 5*n - 8. Let f be ((-2)\/3)\/(n\/(-12)). What is the biggest value in f, b, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/2562 and 45\/49?\nAnswer: 17934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.27 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 7:46 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -89, 4, 2 in ascending order.\nAnswer: -89, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7735 (base 13) in base 14?\nAnswer: 60a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1185*s**4*z**2 - 10182*s**4*z - 2418*s**2*z - 26037*s*z**2 + s + z wrt s?\nAnswer: -28440*s*z**2 - 244368*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 19*i + i)*(7*i - 2*i - 3*i) + 36*i**2 + 69*i**2 + 6*i**2.\nAnswer: 141*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13716571?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 91\/(-26)*8 + 3. What is the fourth biggest value in 5, 2\/33, 0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11 + 0 + (-8 - -9)*-1. Suppose j = 11*b - 1. Let v be (-3)\/36*((-8)\/(-2) - b). Sort -0.1, v, 0.3.\nAnswer: v, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7171*v - 7172*v + 29613. Is v a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.8*42.98\nAnswer: 120.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.7123843?\nAnswer: 0.07123843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 11*g**2 + 5. Let m be b(-11). Suppose 3*j + m*i - 2*i = 45, 3*i = -3. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48962 = 322*c + 12242 - 391540. Calculate the greatest common factor of c and 4370.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -199.153513?\nAnswer: -199.053513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*x + 64*x = 4*z + 11584, 4*z - 4656 = -2*x. What is the highest common factor of 348 and x?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 19 = -7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6101991?\nAnswer: 3, 7, 96857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 9) in base 13?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 892712.3um in centimeters?\nAnswer: 89.27123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -57, 3.8482, -1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196 = -3*l + 47*l + 592 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a**(1\/2)*a)\/a)\/a)\/a)**(-9)*a**(4\/7)*a*a*a\/a**7*a)**(9\/13) assuming a is positive.\nAnswer: a**(1395\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + 0*h - h)*(4*h - 2 + 0*h - 3*h).\nAnswer: 3*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*sqrt(240)\/sqrt(3))*-2.\nAnswer: -8*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v**4 - 32*v**3 - 311*v**2 - 449*v + 7. Let y(r) = r**4 - r**3 - r**2 - r - 1. Let b(z) = -o(z) - 7*y(z). Let b(x) = 0. Calculate x.\nAnswer: -4, -2, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 4 - 3*3. Let z = -4 - a. Suppose d - z*p = 2*p + 15, -4*d - 4*p + 12 = 0. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/216108 and -26\/33.\nAnswer: 2377188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - 11) + (4 - -9 - 4) + -1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 6*q**2 + 7*q + 10. Let z be r(7). Let m be 28\/z - (-2)\/10. Let w(s) = 0*s**2 + 0 + m + s**2 + 3*s**3 - 2*s**3. What is w(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2480 = 812*x + 44 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 3. Suppose 6*k = 5*k - 7. Let q = k + l. Which is bigger: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10731\/(-6)*(-56)\/98. Calculate the greatest common factor of s and 438.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 23*a**2 - 26*a - 41. Give w(-24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -5. Let i = 11 + s. Is 3 a factor of (24\/9 + i)*12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.476 + 0.776. Put i, -57\/5, 0 in decreasing order.\nAnswer: i, 0, -57\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-2 + 0 + 3). Suppose -l = -3*p + 4. What are the prime factors of (-17)\/2*(p - 4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 2 = 18*j + 77 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -4*v + 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6843.454 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -26*w**2. Let z(n) = -3*n**2 + 92341 + n**2 - 92341. What is p(z(x))?\nAnswer: -104*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, 45, 164, 393, 768, 1325, 2100, 3129?\n\"Answer: 6*b**3 + b**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 6. Let y be h(0). Suppose n - 6*v + y = -4*v, -4*n - 5*v + 2 = 0. What is the second biggest value in n, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4668291 or 4668284?\nAnswer: 4668291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 - 2*t**2 + 3*t + 2. Suppose 2*d - 45 = 5*f, 6*d - 4*f = d + 70. Suppose -d*i - 8 = -6*i. Give a(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r. Let i = 25 - 20. Determine c(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2 + 63186*y - 55219688 = 0. What is y?\nAnswer: -32444, 851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4\/2 + 558*m**3 + 42701*m**2\/2 - 23022*m - 43814 = 0. Calculate m.\nAnswer: -38, -1, 2, 1153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 1.4, 1, 4\/3 in ascending order.\nAnswer: -2\/7, 1, 4\/3, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*w + 22420 = 0, 2*s - 8*w = -7*w + 11213. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1140 = -3*y - 5*b, -270*b + 394 = y - 266*b. What is the remainder when 622 is divided by y?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 9 + 125*d**2 + 170*d + 5 + 41 + 10*d**3 = 0.\nAnswer: -11, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + sqrt(684)))**2 - (5 + sqrt(684) + 1) - (-1*((sqrt(684)*1 + sqrt(684))*3 - sqrt(684)))**2.\nAnswer: -870*sqrt(19) + 7662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f + 2*f - 4*f + 17*f - 20 + 20 + (-2*f + 2*f + f)*(-1 + 4 - 2).\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2\/4 + 13745669*d\/4 + 3436417 = 0. What is d?\nAnswer: -13745668, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -22*h + 12. Let r(w) = -w + 1. Let p(i) = -o(i) + 12*r(i). Let d(f) = -2*f - 2. Let v(x) = 5*x + 6. Let b(y) = -6*d(y) - 2*v(y). Determine p(b(m)).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15, 29, 43, 57, 71?\n\"Answer: 14*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11261 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 69 + 49 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**6 + 118*u**4 - u**2 + 54.\nAnswer: 240*u**3 + 2832*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 80*y - 69*y + 99 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -16*x - 12. Let j be v(-1). Suppose -4*y - j*r - 2 = 66, 4*y + 3*r + 66 = 0. Put y, 2, -4, 3 in increasing order.\nAnswer: y, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 4*z**2 - 7*z + 4. Let b be q(5). Let a = 14 + b. Solve -j = 5*x - 3 - a, -4*j - 2*x = -8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.4 - 3.7. Let l = k + 0.3. Sort l, -2\/9, -0.4.\nAnswer: l, -0.4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k - 213 = 667. Let a(y) be the second derivative of 17*y**5\/20 - y**4\/12 + y. Let g be a(1). What is the highest common divisor of k and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnfffffnnnfnfnnfnff. What is prob of sequence fnn?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h**3\/h)\/h)\/h)\/(h**(5\/2)*h))**(34\/3)\/((h\/(h\/(h*h**(-5))*h))\/(h\/h**(-2\/19)))**(-2) assuming h is positive.\nAnswer: h**(-2311\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2*1537256\nAnswer: 3074512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17768011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*t - 3*t. Let n(p) = -9*p - 22. Let g be n(t). Suppose -2*r + 217 = -g*f - 251, -2*r = -2*f - 474. Is r a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, b: 2}. Give prob of picking 1 b and 1 c.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 8*s**2 + 6*s + 1. Let o be (6\/2)\/(3\/(-9)). What is the remainder when z(o) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.8, 0, -0.4, -2\/13, -1280\/7?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 35512321, 35512323, 35512325, 35512327?\n\"Answer: 2*a + 35512319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Suppose -f + 16 = 2*v + n*v, 0 = -f. Suppose -l - o = -376, -v*o + 432 = 3*l - 695. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 1:51 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -42968.32548 rounded to the nearest one thousand?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from nagapaaxnapaapangaga.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x**2 + x. Let d(u) = 44*u**2 - 9*u - 2. Let s(w) = -4*d(w) - 36*m(w). Let f(c) be the second derivative of c**4\/12 - 4*c. What is f(s(l))?\nAnswer: 16*l**4 + 64*l**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - r - 230 = 269, t + r = 499. Does 58 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2423728527.\nAnswer: 3, 11, 73446319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*j - 17*j + 1421 + 334 = 0 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdwh. Give prob of sequence dhw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 530 - 1532. Is 12 a factor of -2*(15 + -13)*v\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z + 27. Let n be b(-16). Calculate the smallest common multiple of n\/(-1)*(-1)\/(-4)*4 and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 1. Let r(j) = -4*j**2 + 2*j - 7. Suppose -6*x + x + 30 = 0. Let l(z) = x*y(z) - r(z). Calculate l(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (342\/3 - 0) + 3. Suppose 3*p - g = n, 12*p - 70 = 10*p - 2*g. What is the remainder when 66 is divided by p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.17 * -0.8882\nAnswer: -2.815594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1738*n**2 + 3198*n - 4. Let b(y) = 10428*y**2 - 19188*y + 26. Let a(s) = -2*b(s) - 13*u(s). What is the second derivative of a(f) wrt f?\nAnswer: 3476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -9. Suppose 3*a = -0*a - 3*i - 3, 4*a = -g*i. Find the second derivative of 9*u**2 - 15*u - 1 + a + 8*u wrt u.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(5\/12))*z*z)**(-43) assuming z is positive.\nAnswer: z**(-1247\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1 - -5)\/((-20)\/2946))\/(15\/(-350)).\nAnswer: 2, 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/8 + 13\/4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**4 - 22*q**3 - 428*q**2 + 2070*q + 2475 = 0.\nAnswer: -15, -1, 5, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 - 2*f**3 + 3*f**3)*(-4*f**2 + 5*f**2 + 0*f**2) + (-33*f**4 - 560 + 560)*(-2*f - 8*f + 9*f).\nAnswer: 31*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310313321 (base 4) to base 12.\nAnswer: -a53b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - 8*n + 6*n - 24731346, l - 3091397 = -4*n. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21e86 (base 15) in base 12?\nAnswer: 52539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 214 - 130. Suppose 77*c - x*c = -14. Solve 3*l + 5 = 5*v, 2*v + 2*l = -c + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74933 is divided by 37372?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-66)\/(-77))\/(2\/(-14)). Let a be (-16)\/v*9\/(-6). Let q be (64\/(-24))\/(a\/6). Solve -f + 15 = q*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 12*f + 9. Let j = -29 - -17. Let x be b(j). Suppose g = 2*u + 11, -3*g - 2*u = -2*g + x. Which is greater: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 186, 55, -42, -87, -62, 51, 270?\n\"Answer: 3*f**3 - f**2 - 149*f + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.84 - -138.16. Let k = u + -142. Put k, 1, 0.03, 0 in descending order.\nAnswer: 1, 0.03, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34214027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40.6 + 37. Let j = 3.5 + t. Which is the closest to j? (a) 4 (b) -4 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -0.01, -5, 27?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/3631797 and -13\/30.\nAnswer: 36317970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6246 to two dps.\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212000 - -110?\nAnswer: -211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.552 - -0.052. What is the fourth biggest value in 0.5, -3\/4, 3\/5, h?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 + 63. Suppose y = g + 13*g. What is the least common multiple of g and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 271\/5 + ((-350)\/(-500))\/(35\/(-10)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6.9037 + 273687.79\nAnswer: 273694.6937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5979518*i**2 - 23*i - 29774 wrt i.\nAnswer: -11959036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47032?\nAnswer: 2, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 38. Let f(v) be the first derivative of -v**4\/4 + 11*v**3\/3 + v**2\/2 - 11*v - 2. Let t be f(j). Solve 0 = -t*g + 3*g - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 8*y = -10. Suppose -3*l = -12, -32 = -4*z + y*l - 6*l. Is 7 a factor of (3 - z)\/2*-56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 1371900?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*t + 100*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12087*p + 1794 = 11949*p for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 - 32*i**2 + 12. Let b be h(-16). Let t be (-66)\/77*21\/b. What is the nearest to -5 in t, -0.2, 2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56472, -56491, -56520, -56565, -56632, -56727?\nAnswer: -56856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 8*s**2 - 13*s + 11. Let g(c) = c**3 - 7*c**2 + 14*c - 10. Let o(h) = 2*g(h) + 3*v(h). Determine o(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55 - -51) + (-2 - -13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*f = -84*f - 29644. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t + 5 = 0. Let r be (2 + 2 - -2)\/(-10). Which is the second biggest value? (a) 0.4 (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 4) in base 9?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccxx when four letters picked without replacement from xccrxxc?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**5\/20 - 7*d**4\/12 + 2*d**3\/3 - d**2\/2 + 15*d. What is the tens digit of k(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*m - 2. Let u(d) = d - d**m - d**3 - d. Let x be u(-3). Solve -5*k = -2*a - x, 2*k = -5*a - 2*k + 21 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + z + 34, -d - z + 15 = -11. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 3434466*w**2 - 13737900*w - 13737912.\nAnswer: 3*(w - 1144826)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*40\/(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47565 and 21.\nAnswer: 47565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + z + 96487, v - 36997 = -3*z - 4808. List the prime factors of v.\nAnswer: 5, 7, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-36360)\/(-54)*(-18)\/(-4).\nAnswer: 2, 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 18 (c) 2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, -52, -7, -3, -16 in ascending order.\nAnswer: -52, -16, -7, -3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/(-2) + (18 - 20))*(9771 - 8).\nAnswer: 13, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2 + sqrt(320) + 2 - -3*(-3 + sqrt(320)))**2)*-4.\nAnswer: -20576 + 1280*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 7\/5, -0.1, -2?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(3\/10)\/(s*s*s**(-4))*(s*s**(-4)*s)\/(s*s\/(s**(-1)\/s)) assuming s is positive.\nAnswer: s**(-37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 377.51 + -377.22. Put -0.2, t, 245 in ascending order.\nAnswer: -0.2, t, 245","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.004 and -0.14.\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -9*s - 45. Let i be 9 + -7 - s - -13. Calculate the highest common factor of i and 132.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14951295, -14951296, -14951297, -14951298?\n\"Answer: -r - 14951294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51473267*n**3*u**3 + 8*n**3*u**2 - 24*n**2*u**2 + 22890*n wrt u?\nAnswer: 308839602*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*v + 2*v - 28 = 0, 4*a = -2*v + 20. Factor 2\/11*r**3 + 0*r**2 + 2\/11*r**5 - 4\/11*r**a + 0*r + 0.\nAnswer: 2*r**3*(r - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 - 11*f + 4. Let q(y) = -2*y**2 - 20*y - 12. Let b be q(-9). Let c(r) = -3*r + 26. Let d be c(b). Calculate i(d).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (10 + (9 - 14) + (-2 - -5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 10*v**3 + v**2 + v + 1. Let g be l(-1). Let u = g + 12. Solve 5*z + 35 = u*h + 14, -5*h + 10 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 - 3*i**2 + 6*i**2)*((-2 + 4 - 3)*(i - 2 + 2) - 19*i - 105 + 102 + 4*i).\nAnswer: 16*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-6) + -17)*(-5 - -1). Suppose -2*g + 184 = -4*b, g = -0*b - 2*b + d. What is the remainder when g is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/(9\/(-54))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/15720 and -155\/119472.\nAnswer: 597360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 26*h**2 + 19*h + 46. Determine w(-25).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 831*v - 16 = -3*h + 832*v, 0 = v + 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 2, 708, -4.\nAnswer: -4, 0, 2, 5, 708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-1911)*14*1\/(12\/(-9)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 - -89. Suppose -5*v + y = -12510, 0*v = m*v - 3*y - 12500. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -247 + 2374. Is u a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3402 divided by 189.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15764785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.074521 * 0.1.\nAnswer: 0.0074521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/9, -3\/11, 3\/5, -3\/1136?\nAnswer: -3\/1136","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -10*d - 21. Let c(x) = -7*x - 3. Let o(n) = -2*c(n) + r(n). Give o(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(1\/8))\/f*f*((f*f\/f**(-2\/3)*f)\/f)\/f*f*(f\/f**(1\/4))**(-40)*((((f*f**(4\/5))\/f)\/f)**(-21))**48 assuming f is positive.\nAnswer: f**(21167\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/6 + 164888*h**2\/3 - 659558*h\/3 + 659560\/3.\nAnswer: (h - 2)**2*(h + 329780)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 35 + -6?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*p**3 - 54*p + 186 wrt p?\nAnswer: -9*p**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(6\/7)\/r)\/((r\/(r**(-1\/2)\/r)*r)\/r))**1\/((r*r**(2\/5))**(-12))**(-37) assuming r is positive.\nAnswer: r**(-43697\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**3\/3 + 8*k**2 + 42*k - 19. Let a be j(-13). Sort 0.5, -5, a in descending order.\nAnswer: a, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24c0 (base 15) to base 4\nAnswer: 1322112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*c = -46, 2*v + 2*v - c - 35 = 0. Suppose v = -u + 3*u. Suppose -3*k + 1 + 2 = h, 0 = 3*h - u*k - 35. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18095529 or -18095566?\nAnswer: -18095566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 28, 42, 56, 70?\n\"Answer: 14*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 2\/9, 1, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.95171m to millimeters.\nAnswer: 91951.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -3, 1\/2, 1, 2, -2\/7, -268.856?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12*(3 + (-24)\/9). Sort y, -2, -4 in ascending order.\nAnswer: -4, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + ((sqrt(1368) + sqrt(1368)*-6 + sqrt(38))\/(sqrt(4)\/(sqrt(20)\/sqrt(10))) + -2)**2).\nAnswer: 464*sqrt(19) + 63916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3214 (base 6) to base 4.\nAnswer: -23122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y + 10 + 32 + 4 + 2*y**2. Let u be c(-15). Let z = -174 + u. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-4))\/((-6)\/792*11).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -107, -442, -1021, -1862, -2983?\n\"Answer: -3*f**3 - 104*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-21)\/(-14))\/(3\/8). Suppose -z*b + b = 0. Suppose -f - 2163 = -4*i, 0 = -3*i - b*i - f + 1624. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1938*y**2 + 2814*y + 27. Let t(s) = -277*s**2 - 402*s - 4. Let u(i) = -4*m(i) - 27*t(i). What is the second derivative of u(h) wrt h?\nAnswer: -546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99 - -179. Is t a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence naa when three letters picked without replacement from {a: 2, s: 8, n: 1, j: 4}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 - 89. Calculate the remainder when 31 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*o - 4 - 1 = 0, 2*u + 4*o = 2. Which is the closest to u? (a) -0.03 (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*u - 252*u = 50 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-8)\/16 + (-1 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -125066424 times -0.1\nAnswer: 12506642.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5)\/((g*g*g**6*g*g)\/g)*(g**(-1\/4))**(-4) assuming g is positive.\nAnswer: g**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 310 and 12989000?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -776139\/5645 - 9009404503\/4109560. Let h = r - -234575769\/100282. Let p = 5\/551 + h. What is the common denominator of p and -7\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3716 + 6862. What are the prime factors of s?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**4\/24 - r**3\/6 - 7*r**2. What is m(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 174601011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -115291276995.\nAnswer: -115291276990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 539474169 less than 539474168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/t**(1\/5))\/t*t*t*t))\/(t\/t**2) assuming t is positive.\nAnswer: t**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 7. Let h = 10 - z. Let l = h - -2. Are 1 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*s = -10, -2*c - 4*s = -25 - 51. Suppose c*n + 8552 = 38*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 927697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 12*r + 34*r - 585*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*w = -147, 225 = 2*z - 3*w - 60. Calculate the remainder when 984 is divided by z.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.953 rounded to 2 decimal places?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6 + 18 = 0. Suppose -13 = -v*s - 1. Factor -2*c**4 - 6*c**s - 6*c**2 - 6 - 2*c + 6.\nAnswer: -2*c*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c - 3*c - 1 - 4*c. Let o be -4*(0 + 0 + -1). Suppose -m = o*m. Give g(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, f: 2}. What is prob of sequence sss?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7413375829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 49\/(((-3)\/(-12))\/1). Let j = f - 117. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**6\/1440 - t**5\/240 - t**4\/96 - 2*t**3\/3 + 3*t. Let i(j) be the second derivative of m(j). Solve i(f) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 plus 166?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76931916.\nAnswer: 2, 3, 6410993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 63. Let r = 34 + q. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -164713298*h**4 - 111386380.\nAnswer: -658853192*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57 + 634\/10)*9\/(6\/10 + 0).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4516076, 9032183, 13548290, 18064397?\n\"Answer: 4516107*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.291 to two dps.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b - 2. Let s be i(3). Suppose -o - 5 = 2*a + 3, -s*a + 16 = 0. Let v = o + 38. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2764833 is divided by 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30015052021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 2550?\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1481 is divided by 740.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 38930, 38359, 37788, 37217, 36646?\n\"Answer: -571*s + 39501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -122627265\/16618 + -37\/1187. Let f = -7376 - t. Calculate the common denominator of f and 47\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*v**2 - 2*v**2 - 2*v**2 - 2*v**3 + 39 wrt v.\nAnswer: -6*v**2 - 20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*k**4*o**3 - 3*k**4*o - k**4 - k**2 + 22*k*o**3 - k*o**2 wrt k?\nAnswer: 144*k*o**3 - 72*k*o - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -17*a**8\/4 + 35*a**4\/2 + 179*a. Find the third derivative of s(r) wrt r.\nAnswer: -28560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*m**2 + 212*m - 35.\nAnswer: (m + 7)*(31*m - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 42?\nAnswer: -5\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/648 and -91\/1782.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g + 37*g - 31*g = 420. Let v(f) = 15*f. Let o be v(2). Calculate the highest common factor of o and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 267140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -188 - -192. Solve 2*t = o*q - 26, -2*q - 37 = 5*t - 5*q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-11)\/33)\/(5\/(-45)). Solve 0 = -2*s + 2, 0*h + 3*h - l = -3*s for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 17\/5, 0, -3\/4022, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 161*z - 162*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 12:49 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -16 + (2 - (0 - 0)). Let w = -12 - c. Solve -2*l + 5*x + 45 = w*l, l + x = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4484234402*r**2\/5 - 168190752*r\/5 - 1577088\/5.\nAnswer: -2*(47351*r + 888)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**3\/6 + 23377*g**2\/6 - 3896*g = 0.\nAnswer: 0, 1, 23376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -4 - (5 + -4 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5459*o + 382129. Give r(70).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - (-91 + (5 - 22))) + -39?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-665)\/9975 - (-1977)\/(-45).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2313 - 2312.6. Let n = 3 + -5. Let p = n + 1. Which is the closest to -1? (a) p (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1174885 is divided by 633?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-266 + 124 + 125)*(1 - 1 - 2)*(-15*h + 820 - 820)*(2 - 1 + 3).\nAnswer: -2040*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4151146 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 502 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(3744\/27) - (-23)\/(-208)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-66)\/(-55))\/((-3)\/(-10)). Suppose -1224 = -t*y + 4*c, -4*y + 2*y + c + 607 = 0. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 1\/5, -1, -4, 1\/10, 58325\/3, -1\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 9:54 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - f)*(-2*f**3 + f**3 + 2*f**3) - 106*f + 0*f**4 + 2*f**4 + 909*f.\nAnswer: f**4 + 803*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 18 = 4*k - 2*i, -i = -4*k + 17 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*(sqrt(136)\/(3*sqrt(8)) + sqrt(17)).\nAnswer: -1 + 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 9 + 26 = 5*f, 5*f - 15 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1303 at least as big as -1307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 740.4 to 0 dps.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 13*a + 29. Let q be i(8). Suppose 3*g = 4*o - 19, -4*g - 53 = g + 4*o. Which is smaller: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + i. Let y(d) = 4*d**3 + 3*d**2 + 2*d. Let w = -15 - -19. What is w*f(p) - y(p)?\nAnswer: -4*p**3 + p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 12. Is v greater than -10\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126 + -119. Put 0.1, j, 5 in decreasing order.\nAnswer: j, 5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3420 and 10566.\nAnswer: 2007540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 12*v - 11. Let w be s(9). Let n = -14 + w. Find the third derivative of -g**2 - 8*g**4 - 2*g**2 + 8*g**n wrt g.\nAnswer: -192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*q - 2*l, 7*q - 10 = 6*q + 5*l. What is the fourth biggest value in -2\/7, q, 0.1, 1\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 2124*r**3 - 4236*r**3 + 2119*r**3.\nAnswer: 7*r**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112175*w = 6*g + 112179*w + 28, 2*w = 5*g + 34 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q + 2*q**5 + 0*q + (3*q - 4*q - q)*(-q - 2*q**4 + q) - 4*q - 4*q**5 + 3*q - q.\nAnswer: 2*q**5 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5339062, 5339068, 5339078, 5339092?\nAnswer: 5339110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-5) - 1)\/(84\/(-560)). Suppose 5*l - w - w + h = 0, 4*w + 12 = -4*l. What is the nearest to 0 in -2\/13, 5, l?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5*u + 115 = 120, 4*g - 17 = u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 94 - 76. Let j be ((-8)\/y)\/(-2) + (-220)\/18. What are the prime factors of (174\/j)\/(-1 + 33\/36)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 5*i - 2. Let c be g(4). Suppose -2*s - c*t = 2*t - 110, 0 = -s + t + 43. Is s a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from {u: 4, e: 1, n: 5}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from xjjjxj?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13393 take away 3?\nAnswer: -13396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.26 (b) 87 (c) -2\/5 (d) 5 (e) 1\/5 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110.85 - -110.75. Which is smaller: -0.5162 or t?\nAnswer: -0.5162","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 698800 and 770427.\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3455240 (base 6) in base 16?\nAnswer: -2ba28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h + 5*h. Suppose 7 = 3*k - 2*k. Suppose m - 41 - k = h. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3059750 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4*-4*(-453)\/(-7248)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3 - 2*q + 7 + 5*q - 42. Give c(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 73, 137, 197, 253, 305?\n\"Answer: -2*j**2 + 70*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, x: 4, t: 6, g: 7, f: 1}. What is prob of picking 1 f, 1 x, and 1 t?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 47*l**2 - 3.\nAnswer: -47*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 955*t**2 - 64*t - 3. Does 100 divide w(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4 - (-919995)\/10. Round u to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2085, -10916, -25649, -46296, -72869, -105380, -143841, -188264?\nAnswer: -238661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((11 - 5) + -1) - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*c + 3, 2*c - 3*n - 2 = -0*n. Let m be 80\/2 - (2 - c). Let o = m + -39. Solve o*x + 2*x = 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 4) in base 3?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 4*d - 4. Let i be q(10). Let w = i + 144. Solve w = -2*l - 2*l - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1227a7 (base 13) to base 7\nAnswer: -3455453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-11 - -5 - 1)) + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 80 = 8*r - 28, 3*r - 5*a = -32 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6*l**2 + 102*l - 378. What is p(4)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2684840*l**3 + 895032*l**3 + 895033*l**3 + 894777*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2770654947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a factor of 41340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(52\/(-13) + 5). Solve 5*r - 25 = -n, w = -3*r - 17*n + 20*n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -17*w**6\/120 + 19*w**5\/60 + w**2\/2 + 22. Let h(a) be the second derivative of d(a). Find the third derivative of h(s) wrt s.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -84, -274, -600, -1068, -1684, -2454, -3384?\n\"Answer: -j**3 - 62*j**2 + 3*j - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2655 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -20. Suppose 0 = k + g*k + q - 17, -q - 1 = -2*k. What are the prime factors of (-2)\/k - (-448)\/24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1657005 is divided by 1601?\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15464 + -15462. Factor 2\/5*t**d + 242\/5 - 44\/5*t.\nAnswer: 2*(t - 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 102510 to the nearest 1000.\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.847128t to kilograms.\nAnswer: 847.128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12699 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: Suppose -58 = -4*b - 138. Let f = -41 - b. Let v be (f\/(-70))\/((-3)\/(-4)). Which is greater: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/12 - -3)*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, 21, 50, 101, 180, 293?\n\"Answer: d**3 + 2*d**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -4.2. Let n be 4\/14 + 6\/(-7). What is the closest to -0.3 in 1\/2, o, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 47.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 14) in base 7?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 3*b**4 - 5*b**3\/6 - 3*b**2 - 2. Let x(r) = -76*r + 6. Let j(y) = -5*x(y) - 6*z(y). Let n(m) = m**2. What is n(j(q))?\nAnswer: 2704*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22, 35, 42, 43, 38?\n\"Answer: -3*o**2 + 22*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b - 12 = 21*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*t, f - 3*t + 4 = -0*t. Let x(i) = 3*i**2 - 5*i + 8. Let d(p) = 7*p**2 - 9*p + 17. Let n(w) = f*d(w) - 5*x(w). Is 3 a factor of n(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11, -26, -51, -92, -155, -246, -371?\n\"Answer: -b**3 + b**2 - 11*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**5\/4 - t**4\/12 - t**3\/6 - 2*t. What is the units digit of m(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 303 + -294.85. Let b = w - 8. Let n = -7.45 + b. What is n rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -279 by -31.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 6 = -2*d, 93*u = 99*u - 3*d + 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/4)\/(1 - 0). Let c be -5 - q - (-1 + -5). Let s be (c\/10)\/(3\/45). What is the greatest common divisor of 18 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -11, -3, -5, -19 in increasing order.\nAnswer: -19, -11, -5, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 + y. Let q(k) = -11*k**2 + 306*k. What is -q(z) - 3*t(z)?\nAnswer: 2*z**2 - 309*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-292 + 292 + 221*d)*(0 + 2 + 0) + 5*d - 2*d + 0*d - 2*d + 2 - 2 + (5 + 0 - 4)*(d - 4 + 4).\nAnswer: 444*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.19 - 0.01. Let h(z) = z**2 - 4*z + 8. Let i be h(2). Let o be -12 - -11 - (-15)\/(-25). What is the closest to p in i, o, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38448564 a multiple of 508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b + 129 = 194. What is the remainder when 2133 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16835?\nAnswer: 5, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(20)*-3 + 5) + -2.\nAnswer: -12 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 22*d**2 - 7*d + 8. Let s(t) = 19*t**2 - 6*t + 7. Let q(n) = -6*s(n) + 5*v(n). Determine q(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 4\/7, 447?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 + -1 - 1) + 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (142 - 143 - 10*z - 2*z)*(-6 + 8 - 23) to a*z + b and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/3301090?\nAnswer: 1\/3301090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 731995 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 1218 = r + 1235, 4*r = -3*x + 37. Let z(q) = -2*q + 4. Determine z(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**3 - 1033*r**2 + 125540*r + 1212804 = 0.\nAnswer: -1142, -9, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 1:55 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b*f*x**2 - b*f - 4*b*x**2 + 2*b - 23*f*x**2 - 2*x - 73 wrt x.\nAnswer: -4*b*f*x - 8*b*x - 46*f*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, s: 3, b: 8}. Give prob of sequence nn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25220?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0)*(-4 + 0) + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -32 - 6?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25.714 - -5493.514. What is y rounded to the nearest one hundred?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -70165?\nAnswer: 70166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10172 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128697?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 335, 213, 91, -31, -153, -275?\nAnswer: -397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5527 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 p = 4722 - 4722.1. Sort p, -1905, -4 in ascending order.\nAnswer: -1905, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - 33. Let f be 24\/270 + z\/15. Which is the closest to -1? (a) -1\/3 (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.4 or 88550?\nAnswer: 88550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -1, 2\/251, -0.22?\nAnswer: 2\/251","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -399, -380, -343, -282, -191, -64, 105, 322?\nAnswer: 593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27009*n - 27005*n + 144 = 0 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8772896 divided by -398768\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -341*x**2 - x. Let c be p(1). Let q be (-2)\/(-4) - c\/(-12). What is the units digit of 634\/14 + 2 + 64\/q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wv when two letters picked without replacement from nwwwwwwwwnwvvwn?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 5*o + 6*o)*(o - o - o) + (-o**2 + 1 - 1)*(-5 + 2 + 1).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, 111, -5, -100 in descending order.\nAnswer: 111, 7, 0, -5, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 318537*4.\nAnswer: 1274148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 146 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvvcyywycrry. What is prob of picking 1 w, 1 v, and 2 y?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12503698 is divided by 6251828?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 4*w - 6. Let l be z(-5). Let u = 2 + -31. What is the remainder when (l - 0)*u - -1 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.07 - 15. Let b = o + -0.09. Let w = -0.12 - b. Put 2, 3, w in decreasing order.\nAnswer: 3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20538, -40882, -61224, -81564, -101902?\n\"Answer: c**2 - 20347*c - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m + 4*m + 5*m + 7*m.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, e: 2, f: 4}. Give prob of picking 1 l, 1 f, and 2 e.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20999 and 913.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -156\/3417539?\nAnswer: -156\/3417539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*h - 6*h = -139*h - 2358 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 5*l**4\/12 + 190*l**3\/3 + 3610*l**2 - 42*l - 3. Solve g(f) = 0.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143435537 by -1728139.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w + 3*w + 30*w**2 - 28*w**2. Suppose 5*z = -2*g - 2, -2*z = -4*g + g + 16. What is the units digit of h(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, g: 1, h: 2, e: 1}. What is prob of picking 2 x, 1 g, and 1 h?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 936 + -238. What are the prime factors of g?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q + 1765095 = 3*f - 26*q, -2*f = -q - 1176731. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 4*q = 65, 25*f - 523*q + 521*q - 479 = 0 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 161.55 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0801390297042 + 5249.9197953002958. Let g = v - 5250. What is g rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1052 + -9476\/9. What is the common denominator of d and -53\/34?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/20 and -41\/70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -2123444868182?\nAnswer: 2123444868181.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3646 and 141267916?\nAnswer: 3646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.9 + 7. Let q = 7 - -4. Let k = q + -10.99. What is the biggest value in -0.5, g, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*s + 2917*s**2 - 1171*s**2 + 2949*s**2 + 50*s.\nAnswer: 4695*s**2 + 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 142020*l = -142023*l + 88, 4*l + 768 = 4*g. Suppose -2*r - 12 = r. Calculate the remainder when g is divided by 8\/(-6)*102\/r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -1796747?\nAnswer: -1796744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, j: 5, z: 1}. What is prob of sequence jg?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 2*t**2 + 1\/2*t**3 + 1\/60*t**5 + 0 + 0*t + 1\/12*t**4. Let u(f) be the first derivative of m(f). Give u(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 3*q = -4*t - 4412, 4*t = 5*q + 4444. What is the greatest common divisor of t and 790?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*s + 5*s - 2*s)*((-27 + 27 - 8*s**2)*(-66*s + 118*s - 164*s) - 2*s**3 - 2*s + 2*s) in the form d + h*s**4 + n*s + u*s**3 + b*s**2 and give h.\nAnswer: -1788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7023857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(12)\/sqrt(4) - (sqrt(363) + 1 + sqrt(363)).\nAnswer: -21*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35316388?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 212954 a multiple of 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -1\/3*c**3 + 140 + 0*c**2 + 14\/5*c**5 - 5\/4*c**4 + 3*c. What is the third derivative of y(p) wrt p?\nAnswer: 336*p - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**5 - 208*m**4 + 7346*m**3 - 92684*m**2 + 164152*m - 78608.\nAnswer: 2*(m - 34)**3*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -168 in -4, -1, -363\/4?\nAnswer: -363\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 6:24 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-63)\/14 + (-8)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n**2 - 7*n + 5. Let r(x) = -7*x**2 + 6*x - 4. Let d(w) = -3*w**3 - 4*w**2 - w - 3. Let b be d(-2). Give b*r(o) + 6*f(o).\nAnswer: -o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 274 + -274.0139. Round i to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2364572, 0.\nAnswer: -2, 0, 2364572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmpeexezzepxpeewpx. Give prob of sequence mm.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 10, -0.3, 8, 1.9, -0.06, 7?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.851371 to 2 dps.\nAnswer: 9.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/42*-10)\/((-4)\/14).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 - -2.06. Let h = -9.6 + 9.7. Let w be ((-81)\/(-15))\/9*(1 - 0). What is the smallest value in -3, d, w, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -690 + 1057. Suppose -5*v - 4*x = -346, 3*x + d = 5*v + 14. Let f = 130 - v. Round f to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 275\/(-25) + (-13)\/(-1). What is j in 4\/9 - 2\/9*j**3 + 2\/3*j + 0*j**n = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u**2 + 3*u + 2. Let l = -5 + 3. Let a be i(l). Let f = a + -6. Calculate the remainder when 87 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10282*f**2 - f**3 - 1 - 2 - f**4 - 13*f - 10279*f**2 + 20561*f**2 to the form y + t*f**3 + k*f + r*f**4 + a*f**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-11)*i**(13\/2)\/i assuming i is positive.\nAnswer: i**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 + 0*b**2 - b**2 + (5*b - 4*b + b)*(-3*b + 4*b + 0*b) - 3*b**2 - b**2 + 6*b**2 to f*b + x*b**2 + z and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 + 3*r**3 - r**2 - 3*r + 2.\nAnswer: -(r - 2)*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 420444011?\nAnswer: 420444002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 3*c**2 - 4*c + 2. Let h be g(4). Suppose 5*s + h*w + 9 = 0, -s + 0*w = -3*w + 12. Suppose q - 1 - 1 = 0. Sort q, 0, s in ascending order.\nAnswer: s, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 - -13. Let j = 30 + u. Suppose -b + j = -1. What is the remainder when 7 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 33*f. Let d(r) = -131*r. Let j(o) = -2*d(o) - 9*h(o). Let x(g) = g**2 - 68417 + 68417. Give j(x(w)).\nAnswer: -35*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1.034. Let n = x - -0.033951. What is n rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.5 - -22.8. What is the closest to -0.1 in -1\/6, 3, z?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + x = 3*z - 20, -25 = -5*x. Suppose 5*p - n - 1 = z, 5*n + 0*n - 17 = 3*p. Sort p, -4, -5.\nAnswer: -5, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.95 - 86.11. Let a = s - -68. What is a rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + (191 + -189 - ((-3 - -2) + -6)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 376\/282*3\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + a = 6, -3*a - 40 + 28 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 32\/5, 2\/423, 0, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -72221*j**2 - 4*j + 1. Let b be z(3). Round b to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -4, 1.6, -0.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 462*y + 7129. Let d(b) = 289*b + 4753. What is 8*d(l) - 5*r(l)?\nAnswer: 2*l + 2379","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/12 + 4 + 333\/(-54)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**4 - 14*d**3 + 184*d**2?\nAnswer: -96*d - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2556 (base 8) to base 12\nAnswer: -97a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 286, -2\/9, 2.\nAnswer: -2\/9, 2, 286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 778*m**4*u - 6*m**3*u + 2*m**2 - 2*m*u + 2*u + 14 wrt m.\nAnswer: 18672*m*u - 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/174 and -34\/88694325.\nAnswer: 177388650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*98\/(-4704))\/(2\/888).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1361040 divided by 40?\nAnswer: -34026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-24)*r**15)\/(r**10\/(r**(19\/2)*r)))**35 assuming r is positive.\nAnswer: r**(-595\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*d = 257264 + 351845. What are the prime factors of d?\nAnswer: 23, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -1.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkkkmkpmmmlkkmkk. Give prob of picking 2 p and 1 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56122853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 + 20*i - 11. Let s(g) = 2*g**2 + 11*g - 6. Let o(a) = -6*d(a) + 11*s(a). Suppose -2*y + w - 3 = 0, 2*y + 10 = -3*y + 3*w. Calculate o(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95 - 97. Let b(q) = 2*q. Let w be (0 - (4 + -2))\/(-1). Let r(n) = -35 + 71 - 35 + n. Determine w*b(y) + z*r(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -8*n - 324, 3*k - 8*n - 6861 = -6569 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27699371 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2934, -5878, -8826, -11778?\nAnswer: -14734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -8, 0, -348088 in decreasing order.\nAnswer: 5, 0, -7, -8, -348088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 5:26 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 4*w**2 - 3*w + 8. Let b be q(-5). Put b, 0, -4 in descending order.\nAnswer: 0, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 less than 0.17?\nAnswer: -219.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sff when three letters picked without replacement from fssffss.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*y - 26 = 0, -4*x - 2*y - 20 = -y. Let h = 9 + x. Let l(o) = h*o**2 - 8*o**2 + 4*o**2. Let r(v) = 2*v**2. What is r(l(p))?\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9491863 * 0.3.\nAnswer: 0.28475589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 - v - 2. Let c(n) = 13*n**2 - 3*n - 10. What is 2*c(b) - 9*i(b)?\nAnswer: -b**2 + 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21970 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -9. Suppose 4*z + 50 = 3*i + 9, -4*z = -5*i + 79. Suppose 3*d - i = 8. Solve 0 = n + 5, c - n + d = -l*n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -228 (b) 134 (c) -4\/3 (d) -4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 - 5*z - 2. Let a(k) = -4*k**2 - 11*k - 5. What is 2*a(m) - 5*t(m)?\nAnswer: 2*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 34*b**2 - 29*b - 123. Let t be l(33). Let z(a) = -a**3 + 11*a**2 - 19*a + 8. What is z(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*a + a + 4, 3*b - 20 = 5*a. Solve 29*k - 27*k - 8 = b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u - 20 = -10*u, 2*y + u = 0. Solve -y*d - 15 = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 231*f + 11. Let v(d) = 46*d + 2. Let r(x) = 22*v(x) - 4*y(x). Let o(c) = -c. Calculate o(r(w)).\nAnswer: -88*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -7*f**6\/360 + 11*f**3\/3 - f**2 - 11*f. Let z(b) be the second derivative of l(b). Let d(c) = -10*c. Determine z(d(p)).\nAnswer: -700*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 136 (base 9) to base 3\nAnswer: 11020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.5, -4\/15, 1, -57, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130 and 78.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 7*h + 2*c + 148 = 159, 3*h = 8*c + 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**3\/5 + 416*l**2\/5 - 824*l\/5 = 0. Calculate l.\nAnswer: 0, 2, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-7) - (-1308)\/14. Let r = k - 1033\/11. Which is the smallest value? (a) 0 (b) -1\/10 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 10*s**2 - 12*s + 17. Give x(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -46*s**3 - 1659*s**2 - 114*s - 206. What is h(-36)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 239509\/22 and 10887 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 13.8. Let m = -1 + o. Let v = -8 - -13. What is the smallest value in m, v, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -35\/1983?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, n: 7, w: 6}. Give prob of picking 2 n.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-8)*t)\/t*t**(2\/5))**(-11) assuming t is positive.\nAnswer: t**(418\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -36*h**2 + 4282*h + 300. Give x(119).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 5:42 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**5\/(w**(-2)*w))\/(w*w**6*w**3*w))**42 assuming w is positive.\nAnswer: w**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 53\/3 + 4\/(-6). Suppose 5*w = 28 + p. Suppose 7*f = 29 + 83. What is the least common multiple of w and f?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15161\/547 greater than 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, n: 1, q: 2, j: 1, g: 1, h: 2}. Give prob of sequence ph.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6422 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-52))\/((-697)\/(-81549))?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvv when three letters picked without replacement from {v: 5, f: 9}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 10 + 8. Let c be 14\/105*-6*(-25)\/j. Let r(a) = -a - 1. Let n be r(7). Which is smaller: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/19 in -0.01, -10, -2\/7?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 3*n + 20, 0*j + 4*n + 15 = 3*j. Let s be (-5)\/2*(-12)\/j. Find the third derivative of -h**4 - h**2 + s*h**2 + 3*h**4 wrt h.\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 3, -4, -3 in decreasing order.\nAnswer: 3, -3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 432 - 425. Suppose 0 = -q + y, v = 3*q + 3*y + y. Let f(l) = -14*l**2 - l + 1. Give f(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*v - 230 = -240, v - 2 = 0. Suppose -3 + 11 = -2*u. Let l be 2\/u - (-2)\/4. Are l and p unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**6\/210 + 2*d**5\/35 + 2*d**4\/21 - 16*d**3\/21 - 24*d**2\/7 - 52*d + 4. Find h, given that j(h) = 0.\nAnswer: -6, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32200101232 + 11?\nAnswer: -32200101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x + 25*x + 12*x.\nAnswer: 42*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 31 - 180*z + 1 + 183*z. Suppose -2*j - 4*m = -20, -5 = 2*j + 3*m - 21. Let t(h) = -h. Let k(c) = j*t(c) + i(c). What is the derivative of k(o) wrt o?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007086095 to seven dps.\nAnswer: -0.0000709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - -154?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 l when three letters picked without replacement from {i: 3, l: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9527, -9548, -9569, -9590, -9611, -9632?\nAnswer: -9653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 3:27 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -11 + -2 - -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*t + 330, 2*f + 2*t = 4*t + 354. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1455 = 24*w - 27*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102012011022 (base 3) in base 16?\nAnswer: 35c72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.1 + 2.5. Let y = 0 + o. Which is the smallest value? (a) 0.3 (b) y (c) -0.5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y. Let p be y - 2\/(-30)*-6. Is -1 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-24))\/(2\/24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine sixteenths of a centimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 + 2*w**2 + 2. Let t(m) = 11*m**2 - 13*m**3 + 2*m**3 + 11 + m**3. Calculate 4*t(i) - 22*z(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 215640675 and 47920150.\nAnswer: 431281350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/34 and -46\/13439?\nAnswer: 456926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1228299 and 1149?\nAnswer: 470438517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/(((z*z**(-3\/5))\/z*z)\/z))*(z*z**7)\/z)\/(z**(-2\/7))**38)**(-3\/25) assuming z is positive.\nAnswer: z**(-1707\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/4*9\/216*-9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -15 + 4 + 7 - 3*f. Let n(m) = 4*m + 46. Let u be n(-10). Let t(x) be the first derivative of -x**2\/2 - x + 15. What is u*t(v) - o(v)?\nAnswer: -3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/7 - 15537*k - 544320.\nAnswer: 3*(k - 36288)*(k + 35)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 511364*c = 511366*c + 11, -c = -4*u - 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/25 at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f*f**(-1)*f*f*f))\/f)\/f)**(-23)\/(f**(-1\/3))**39 assuming f is positive.\nAnswer: f**128","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*d - 80*d = 2*w - 14789, 5*d = 5*w + 73990. Is 18 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 + 161. Calculate the greatest common divisor of 63 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 0, -30, 64 in decreasing order.\nAnswer: 64, 2, 0, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5560 and 5282?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -25. Let h be 4\/(-14) + 192\/i. Calculate the remainder when 26 is divided by (-192)\/h + (-4)\/(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**7)\/m)\/m**(-2\/17)*(m\/((m\/m**6)\/m))\/(m\/m**(-3)))\/(m**(-1\/7)\/(m\/m**(-1\/11)))**21 assuming m is positive.\nAnswer: m**(6737\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -9122*j - 358*j - 1224*j in the form y*j + g and give y.\nAnswer: -10704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 10:30 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130)\/26*2\/4*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14345 - -3?\nAnswer: 14348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjj when three letters picked without replacement from dzzzjnndzzjzzdjnzzdz.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((5\/6 + -1)*-1126)\/((-51)\/(-1683))?\nAnswer: 11, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l - 11. Let k = -9 + l. Suppose k*q = 5*q - 72. Is q a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1728 and 630144?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 802 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + -1. Let u = 9 + t. Let w(v) be the second derivative of -v**5\/20 + v**4\/4 + v**3\/3 + 3*v**2\/2 - 9*v. What is w(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186650245?\nAnswer: 5, 41, 821, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1396.7 + -1392.7. Let k = -0.2 - 0.8. Let y = k + 0.99. Which is the third biggest value? (a) y (b) 2\/23 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11913?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 8. Let h be b(-4). Solve -h*d = 5*u + 37, -3*u = 5*d - 10*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00074675791 rounded to seven dps?\nAnswer: -0.0007468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (398\/(-597))\/(10\/3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + 1 + 4 - 3)*(1374 + 1318 - 828)*(0*a**2 + 3*a**2 + 0*a**2)*(-5*a + 2*a + a) to p*a**2 + c*a + l*a**3 + h + m*a**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, f: 5, z: 1, s: 2}. What is prob of picking 1 z and 1 f?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2 + 2*b + 425*b**2 + 306*b**2 + 1. Let y be k(-2). Let o = 23447\/8 - y. What is the common denominator of o and -17\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (-7 + (-10 - (-4 - 20)))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*w + 180*w**3 - 76*w + 267*w - 90*w.\nAnswer: 180*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 82389, 82336, 82245, 82110, 81925, 81684, 81381, 81010?\n\"Answer: -y**3 - 13*y**2 - 7*y + 82410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 0 + 0 + (-w + 3*w - w)*(0 + 4 - 3) + (-8 + 2 + 2)*(-2*w - 3*w + 4*w) - 33 + 33 + 2*w to the form q + z*w and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 29.50366 millilitres?\nAnswer: 0.02950366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 88*l + 73. Let f be s(-9). Let g = -711 - f. Which is smaller: g or 37?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vggggv. Give prob of picking 1 v and 1 g.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5\/(k\/(k**(-2\/3)\/k))*(((k**(3\/2)*k)\/k)\/k)\/k**5)\/(((k*k**(1\/4)*k)\/k**(-2))\/(k*k**(-1))**(-2\/89)) assuming k is positive.\nAnswer: k**(-77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 34, 0.3, -202?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*h + 2*b - 11198, -2*b = 5*h - 13995. Suppose 0 = -5*g + 3*j + 3450, -24*g - 5*j = -20*g - h. What is the highest common factor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*i = 5*i - 71955. Is i a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 5*s. Let o be u(-4). Suppose -o*w + v + 274 = 0, 2*w - 5*v = -0*w + 146. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 3193320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 88 - 26 - j**2.\nAnswer: -j**2 + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/(9\/(-72))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/6 + 6\/(-9). Is 12 a factor of -18*(r + 0)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from boooobooboooobbbboo. Give prob of picking 2 o.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 2. Suppose x + 17 = 5*v - 3*v, -2*v - 5*x + 35 = 0. Let r be 16\/v - 39\/26. Which is the third smallest value? (a) 1\/4 (b) o (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4. Let q(d) = -d - 1. Let x(b) = -a(b) + q(b). Let z be (-80)\/(-192)*(-48)\/(-4). Let f(g) = -4*g - 16. Give z*f(y) - 16*x(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*((-18)\/(-10) - 3). Let r = m - -4. Suppose 7*k = 2*k + 2*o - r, -k = o - 5. Solve 2*t - 6 = 4*l - k*l, 3*l = -3*t - 27 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 2*c**2 - c - 4 + 2*c**3 - 4*c + c. What is the tens digit of l(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - u + 2*u + u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/782080 and -37\/47?\nAnswer: 782080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1.5, -1\/7, 195, 5 in increasing order.\nAnswer: -1\/7, 0, 1.5, 5, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3 + 5 + 7*i**2 - 2. Let y(a) = -21*a**2. Determine 17*b(r) + 6*y(r).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 500\/161 + -78\/23. Which is the nearest to s? (a) 2\/35 (b) -3\/4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -526191392*m**2*w**3 + 1297*m*w**2 + 27*m*w + m + 2*w**3 - w**2 + 13*w wrt m?\nAnswer: -1052382784*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -209 + 249. Let b be d\/140 + 6\/28*22. Solve -25 = 3*m - 4*x, b*m - x + 24 - 5 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/4 - 87*a**2\/4 - 1755*a\/4 + 6075\/4.\nAnswer: -(a - 3)*(a + 45)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30.3*-2197.741.\nAnswer: 66591.5523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8195801\/254 + -32267. Calculate the common denominator of 29\/16 and z.\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 + -745\/8. Let o = 199145 + -199142. What is the closest to -15 in o, -2\/7, j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f - 12 = 24 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4958577555 to the power of 1\/5, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1021334200 (base 5) to base 13\nAnswer: -59a7a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 44*y**2 - 3536 + 3536. Let i(k) = k + 6*k - 5*k. Determine l(i(r)).\nAnswer: 176*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 7:44 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d**2 - 187*d + 371. Let z be j(2). Solve 5*n + 5*r + z = 3*n, r + 6 = -3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 2*s + 649085 - 649187 = 0, 0 = y + 5*s + 15 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 1. Let k be q(-4). Solve 4*y + 7 = k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/4 of a millimeter in micrometers?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2635 - 1256. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 + 23*h + 3. Let l = 59 + -42. Let w(n) = -n**2 + 8*n + 1. Let u(b) = l*w(b) - 6*m(b). What is u(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132 - -137. Suppose -3*h + 807 = 5*c, 0*h + c = -h + j. List the prime factors of h.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 459 = 7*b. What is the remainder when b is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 612 + -664 - (-14 - -1)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -16. Let n = -14 - -10. Let b = -7 - n. Which is greater: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q. Let p(n) = -898*n - 68. Determine c(p(v)).\nAnswer: 1796*v + 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 3:54 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -5 + -6 + 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -51656 smaller than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 159 + -1111\/7. Let v be 9\/(-27) + (-1459)\/(-2460). Let y = v + -2\/205. Which is the smallest value? (a) u (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36\/(-63)*7\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83784875.\nAnswer: 5, 670279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3745989 and 2223?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5238867746 to the power of 1\/2, to the nearest integer?\nAnswer: 72380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 413 plus 9.062?\nAnswer: 422.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + g + 4*g - 177 = 0, -p = -4*g + 52. Let d = p + 59. Let x be d - 0 - (-25 + 20). Let q(h) = h**2 - 3. Determine q(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55286.51 years in centuries?\nAnswer: 552.8651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 898\/39 + -204\/13. Are 7 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3387, 3390, 3393?\n\"Answer: 3*z + 3384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l - 5. Let r(s) = s + 0 + 12 - 5*s + s. Let q(w) = -3*w + 13. Let k(o) = 5*q(o) - 6*r(o). Determine -5*k(t) + 7*z(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-11) - 100\/(-55). Suppose -4*p - 1 + 189 = -2*s, -96 = -2*p + u*s. Let i = -9 + p. Solve 0 = 3*t - 15, -4*q + i = 5*t - 0*t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*g)*(-1 + 0 + 3)*(16 + 5 - 33).\nAnswer: 72*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2354 - -6199. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4167?\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.5 + 2. Let g = -0.49999993 + k. Round g to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-938)\/(-4840) + 9\/(-45). Let u = d - 12563\/3388. Let x = -562\/9 - -65. What is the common denominator of u and x?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 304. Let t be u(16). Let k = 1299 + -867. Calculate the highest common factor of t and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3.46 (b) 1\/2 (c) -4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3*d*m + 13*a**3*j*m + 5*a**3*m - 2411*a**2*d*m - a*d*m - 1854*a*j*m - d*j*m - 3*d*m wrt j.\nAnswer: 13*a**3*m - 1854*a*m - d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/14, -2, 4\/7?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 18 + 47. Let b(d) = 0 + 4 + 5*d + 1 - 2. Let f(j) = -16*j - 21. Let w(o) = -5*o - 7. Let l(a) = 6*f(a) - 17*w(a). What is c*b(z) + 6*l(z)?\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1148 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2 = 0, 0*y + 4*y + 5*u = 10485. Let a = -1498 + y. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -14. Let c = l - 1. Solve 4*t - 10 = -5*b, 0 - 8 = -c*b - 2*t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111 (base 2) to base 5.\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*o**4*v - 1488*o**4 - 4*o**3 + 5*o**2 + 133*o*v + 2*v wrt o.\nAnswer: -168*o*v - 35712*o - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -3 - (20 - 24) - (-2 + 16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**3\/4 + 47793*m**2\/2 + 382383*m\/4 + 143397\/2 = 0.\nAnswer: -3, -1, 31866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -49 - 1082?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -6) + -14 - -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -770819370 divided by -6?\nAnswer: 128469895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3220\/(-6))\/(-2) - (-360)\/540 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90651, 362621, 815899, 1450479, 2266355, 3263521?\nAnswer: 4441971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -435, -436, -437?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 604460834*q + 542492382 wrt q?\nAnswer: 604460834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*v = -43, -2*c - 5*v = -0*c - 33. Let r = 26 - c. What is the units digit of (2 + r)*2*-7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/9*63\/14. Sort 2, p, 1 in ascending order.\nAnswer: p, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3) - (-463)\/1050. Let a = 3\/50 - v. Which is bigger: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 1865*f**3 + 16*f**2 - 9*f + 8. Let u be k(13). Round u to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 176*i**4 - 8*i - 150*i**4 - 3*i wrt i.\nAnswer: 312*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 p, and 1 l when three letters picked without replacement from llzppppzzlpllmm.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 11:19 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5166 times 5?\nAnswer: -25830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q + 45. Calculate the remainder when 32 is divided by i(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27232 - -2?\nAnswer: 27234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9075 is divided by 349.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 412, 3875, 13276, 31585, 61772?\nAnswer: 106807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.3, 0, 22, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1119.\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -152 - 300044?\nAnswer: -300240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-2) - 0\/13. Sort -3, 0, k, -0.4 in increasing order.\nAnswer: -3, -0.4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623079 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 2:40 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436198 is divided by 600.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**7\/42 + k**6\/15 - k**5\/4 - 5*k**4\/6 + 2*k**3\/3 + 4*k**2 - 310*k. Solve a(g) = 0 for g.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -106*a + 2 + 8*a**2 + 421*a - 320*a. Let w(v) = 14*v - 6 - 19*v**2 - 30*v**2 + 26*v**2. Determine 11*p(h) + 4*w(h).\nAnswer: -4*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/3 - 964847444*x\/3 - 964847440\/3.\nAnswer: -4*(x + 1)*(x + 241211860)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -29, -75, -125, -179?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(((2*sqrt(182) + sqrt(182) + sqrt(182))\/sqrt(7))\/sqrt(2) - ((sqrt(78) - sqrt(78)*1 - sqrt(78))\/sqrt(6) + 0)))**2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-6)\/24 + 1 + 890\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + a + 5*a + 7 - 40 to y + x*a and give y.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 146839?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 5*k + 1. Let t be g(-4). Suppose 35 + 10 = t*z. Calculate the smallest common multiple of 2 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -15 + (33 - (12 + 2)). Solve 8*k - 10*k = 4*a - 24, 3*a - l*k = 29 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5 - 16*r**4 + 26624*r**3 - 1114112*r**2 = 0. Calculate r.\nAnswer: -136, 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1980 + 2270. Calculate the least common multiple of 20 and h.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 23380 divided by -20\nAnswer: -1169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 22*a - 7. Suppose 132 = 264*u - 330*u. Calculate o(u).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 4*i**2 + 0*i**2 - 9 + 2*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1 = 4, -g + 20 = -2*r. Is g + -15 - (-2 - (-2 - -157)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuyuqulz. What is prob of sequence uuql?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 366 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -23*n + 125. Let d be a(5). Solve 14*h - 8 = d*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1037 + 3638?\nAnswer: 2601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 15503404250?\nAnswer: -15503404254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.988647 to 3 decimal places.\nAnswer: -10.989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17000 divided by -85?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1640 - -1647. What is the remainder when 24 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 192672*n**5 - 12*n**4 - 26227*n + 136 wrt n?\nAnswer: 3853440*n**3 - 144*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**6\/900 - l**5\/50 + 3*l**4\/20 - 3*l**3\/5 - 2*l**2 + 29*l. Factor r(h).\nAnswer: 2*(h - 3)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -659939\/956 or -690?\nAnswer: -690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 10:31 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -c2c (base 15) in base 3?\nAnswer: -10202120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 6:22 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 296, 1, -16 in decreasing order.\nAnswer: 296, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -741 + 746. Solve 0 = -3*f - 2*a + 23, -2*f - v*a + 30 = -0*a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1209096, -1209099, -1209104, -1209111, -1209120, -1209131?\n\"Answer: -l**2 - 1209095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnmgttb. Give prob of sequence ntgt.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -11*t + 59. Let a be f(5). Solve -a*q = -0*q - 3*l - 1, 0 = -2*l - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = 72*z - 303 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 5*z + 25, 5*p + 7*z = 3*z + 16. Let n(x) = -x + 25. Let v be n(p). Calculate the greatest common divisor of 189 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/1 + 2*192 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and -3?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 4\/13, -0.1, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3\/4 - 279*n**2\/4 + 4830*n + 4900 = 0. Calculate n.\nAnswer: -1, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 14. Suppose -g = -b + v, -g - 12 = 2*g. Let u be ((-14)\/4)\/((-3)\/b). Calculate the greatest common factor of u and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3576 rounded to two dps?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 t when two letters picked without replacement from tztq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 65699 - (1 - 6\/3). Suppose 13134 = g + 3*c, -3*g - q = -8*g - 5*c. Let l = 9143 - g. What is l rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 + -11. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/14)\/(((-14)\/(-259))\/(-2)) - 10?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9023 - 9020. Put t, 26\/47, -4 in descending order.\nAnswer: t, 26\/47, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57573 + -57577.89898. Let y = -59 + 54.1. Let w = y - x. Round w to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -19158*v + 76613. Determine j(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -11. Let i = t + -3. Let g be 12\/36 + 4\/6. Is g greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 45*c + 767. What is b(-6)?\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**3 - 53*z + 25*z + 4*z**3 + 31*z + 3 to the form w*z**2 + u*z**3 + f*z + x and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559 = l - 79. Calculate the greatest common factor of l and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3614 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-53)\/(-11) - 3) + (-36)\/(-198))*1. Put 3, g, 4, 1, -15 in increasing order.\nAnswer: -15, 1, g, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 12*y = 6. Let s(j) = 98*j**2 + 10*j - 25. List the prime factors of s(y).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -3. Let t = -45 + 45. Solve 2*f + t*u + 1 = -u, 2*u = -f - p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-119) + -2 + (-123)\/(-34)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55.8608787 + -1.1396113. Let d = t + 57. Round d to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-130))\/(5 - (-212)\/(-318)*(-63)\/(-8)).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 23446489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.2 - -7.20029. Round f to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, -5, -0.038, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/84*(-66)\/(-11)*-84?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (3 - (2 + -6 - -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1291.3 - -1353. Round u to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4*s - 16 = 0, -3*q = 394*s - 398*s - 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 11 - 11 - 20*h.\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**5\/60 + o**4\/8 + 11*o**3\/6 + 11*o**2. Let d be s(0). Suppose -2195 = -d*m + 280. Is m a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6322152?\nAnswer: 2, 3, 263423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2 - 1) + -7 - (-43 - -6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6920 is divided by 1584.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 3*t. Let v be j(3). Find the common denominator of 302\/(-132) + (-6)\/v and -59\/78.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.16167 meters to nanometers.\nAnswer: 67161670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16933, -89032, -209197, -377428, -593725?\n\"Answer: -24033*z**2 + 7100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-360)\/(-35))\/(-24)*-7. Solve 2*h + 12 = 6*h + f*w, -2*w + 3 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/27 and -137\/40601130.\nAnswer: 365410170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 842938?\nAnswer: 842938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 7*z**2 + 4*z - 8. Let a = -9 - -3. Let h be g(a). Suppose -6*f = -h*f. Solve -3 = p + t, 5*t - 2 - 3 = f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 12:53 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13594919447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -5*l + d - 2, -5*d = -3*l - 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23041621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 1\/8, 2766678?\nAnswer: 2766678","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15\/8? (a) -2 (b) -62\/13 (c) 1 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37480 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3\/7 + 22*k**2\/7 - 48*k\/7 = 0.\nAnswer: 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0 = 6. Suppose 120 = -2*x - 10*x. What is the units digit of (v - x)*(-2)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 358681 + 358681.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1267*z + 129430 - 14305 = 268*z for z.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - 36 - 29 - 25 + 162 - 41 - 34 - 18.\nAnswer: w**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 7:32 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-150)\/(-45))\/(1\/(-3)). Suppose 3*n - 57 = -0*n. Let k = n + q. What is the lowest common multiple of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 20*l**6 - l**5 - l**3 - 7*l**2 + l + 6. Let g(u) = u**5 + u**3 + u**2 - u + 1. Let p(v) = -g(v) - r(v). What is the third derivative of p(j) wrt j?\nAnswer: -2400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -253 + 127. Let d = 102 - s. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -2)*(-1)\/2. Solve i*f - 3 = -3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i**2 - 6*i + 12. Let c be l(-6). Calculate the highest common divisor of c and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3\/3 + 286*d**2 = 0.\nAnswer: -429, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, 266, 513, 888, 1409, 2094, 2961?\nAnswer: 4028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, j: 1, e: 1, v: 1, w: 1}. Give prob of sequence vy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**4 + 0*u**2 - 6*u**2 + 3*u**2 + (-3*u**3 - 2*u**3 - 2*u**3)*(-3*u - u + 3*u) in the form f*u + y*u**2 + r + j*u**3 + k*u**4 and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w + 3*w + w + (-1 + 3 - 4)*(w + 2*w - 5*w) - 2*w + 4*w - 4*w + 3*w - 2*w - 3*w to t + o*w and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -30. Let g(h) = h**2 - 2*h - 3. Let q be g(4). Let r be (-1)\/q + (-6)\/20. What is the third biggest value in m, r, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1061 - 280 = 6092*a - 6168*a - 4539 for a.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.4477082 to 3 dps.\nAnswer: -11.448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 7*g + 12. Let m be x(-9). Let t(s) = 6 - 3 + 2*s - 2 - 4*s. Determine t(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 3.7472656 to 2 decimal places.\nAnswer: 3.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162780.\nAnswer: 2, 3, 5, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23842 is divided by 11792.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - 1919528\/(-12))*(-2)\/16. Let j = m + 20007. What is the common denominator of j and 89\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 + 0.8. Which is the second smallest value? (a) -2 (b) 2\/13 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -352.685766 rounded to 1 dp?\nAnswer: -352.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220 + -7153.\nAnswer: -6933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(3 - (-123)\/(-42)). Which is bigger: -1\/2 or r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 2:04 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1138, 0.3, 14, 0.5.\nAnswer: -3, 0.3, 0.5, 14, 1138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000111101 + 110010010100000?\nAnswer: 110110011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (189\/(-36))\/(9\/(-1488)). Calculate the highest common divisor of 28 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 + 5*k**4 + 0*k**4 + (-2*k**2 + 0*k**2 + 0*k**2)*(k**2 + 4*k**2 - 4*k**2).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25012 + -22?\nAnswer: 24550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12177018?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (391\/138)\/((-1496)\/(-704)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d - d**2)*(d + 2*d - 4*d)*(-1599*d**2 + 534718 - 534718).\nAnswer: -1599*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*q + 31*q**2 - 74*q + 16*q - 2 - 88*q.\nAnswer: 31*q**2 - 118*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/28)\/(51\/68)*(-72)\/(-8)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -6. Suppose 3*g = 2*p - 7, 0 = -4*p - 9*g + 4*g + n. Let x(i) = i - i + 2*i**p. Let m(k) = k**2. Determine m(x(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/3971 - -14077\/3971. Suppose -4*t = -3*y + t + 11, -2*y = -3*t - 6. Find the common denominator of n and y + ((-52)\/9)\/2 + -2.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1619 times 0.2?\nAnswer: -323.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 59.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 5 (c) -86 (d) 2 (e) -32\/4141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7 + 14 - 9 - 518*y. What are the prime factors of d(-1)?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x**2 - 147*x + 292. Let u(p) = -6*p**2 + 146*p - 288. Let c(v) = 2*f(v) + 3*u(v). Factor c(y).\nAnswer: -2*(y - 70)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42322903 to the nearest 10000.\nAnswer: -42320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 71*o**2 - 13*o - 4. Let y(n) = -36*n**2 + 7*n + 2. Determine 6*k(x) + 11*y(x).\nAnswer: 30*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/8, -0.8, -0.4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 + 5*t**5 - 5*t**5 + (t**2 - t**2 + t**2)*(16*t + 9*t**3 - 16*t).\nAnswer: 11*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5038439 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1031073299.\nAnswer: 31, 33260429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108 - 107. Let s be 15\/(-25)*q*(-5 + 0). Solve s*l - 4 + 19 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -25503 - 14048. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38*7\/(42\/(-3))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009393862 to seven decimal places.\nAnswer: 0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1757381519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 5 - (-5 + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 - 20. What is the greatest common divisor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 479, 938, 1397?\n\"Answer: 459*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 3:06 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/4)\/s*s*s**2*s*s*s\/(s\/(s\/(s*s*s**(-2\/29))))*s**(-2\/7))**(7\/10) assuming s is positive.\nAnswer: s**(2869\/1160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k + 8 - 8. Let g(v) be the first derivative of v**5\/30 - v**2\/2 - 1. Let t(r) be the second derivative of g(r). What is t(s(h))?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 62 - 28?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from laalll.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/9520 and -209\/1499400?\nAnswer: 2998800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 28834?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(38\/(-20) - -2). Let t be (5 + -3)\/2 + -3. Let n = t + 1. Does q = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.116 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*u - 17. Let m = 13 - u. Suppose -m*v - 2*d + 80 = 0, 5*v - 3*d = d + 100. What is the greatest common factor of 180 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7190, -27655, -61726, -109409, -170710, -245635, -334190?\nAnswer: -436381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/11201164 and 133\/78.\nAnswer: 33603492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 27392.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 0*p**6 + 0*p + 7*p**2 + 0*p**3 + 1\/112*p**8 + 0*p**7 + 0 - 2\/15*p**5 + 0*p**4. Find the third derivative of f(s) wrt s.\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + o = -747, t = -t - o + 741. Suppose 0 = -y + q + 97, -4*y - 6*q + 2*q = -t. What are the prime factors of y?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23258980 divided by -4.\nAnswer: -5814745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -87*r + 5. Is t(-3) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/23017247 and 8.\nAnswer: 23017247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 8, e: 5}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219827*r - 8 - 1 - 219800*r.\nAnswer: 27*r - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a4b (base 13) to base 14.\nAnswer: -1622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 693135 a multiple of 633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - l - 10 = 0, -u + 2*u - 30 = -5*l. Let x be 8 + (-528)\/99 + 3\/(-1). What is the second smallest value in x, u, 0.1, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-3 - 1 - -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**2\/4 - 16512441*t\/4 - 49537341\/2 = 0.\nAnswer: -6, 16512447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1422056\/865735 - -1114\/701. Calculate the common denominator of 119\/190 and h.\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.119596l in millilitres?\nAnswer: 1119.596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22410, 45536, 68666, 91800, 114938, 138080?\n\"Answer: 2*h**2 + 23120*h - 712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2. Let i(k) = -44 + 43 - k - 3*k - 4*k. Calculate i(n(g)).\nAnswer: -24*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12*2\/18*3. Differentiate -y*a + a - 42 + 32 with respect to a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -442*i - 60 = -412*i. What is the closest to i in -5, -4\/5, -4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -2*o - 13. Calculate the remainder when 46 is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28260 divided by 9.\nAnswer: -3140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 63827 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-2218.\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, p: 2, t: 6, m: 3}. What is prob of picking 1 t and 2 p?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -201301321 (base 5) to base 16\nAnswer: -c4e3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29965.91977 - -29936.92. Let g = 0.64 - -28.36. Let h = g + u. What is h rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 33*q**2 + 38*q**2 - 2*q - 5*q**3 + 4 - 86*q**2 in the form j + m*q + f*q**2 + i*q**3 and give f.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17063*u + 0 + 32*u**2 - 17107*u - 1 + 3)*(u + 0 + 0).\nAnswer: 32*u**3 - 44*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 - -11. Let i = d - -126. List the prime factors of i.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of k**8\/48 - 2*k**5\/15 - 5*k**2\/2 - 5. Let m(h) be the second derivative of z(h). Find the third derivative of m(f) wrt f.\nAnswer: 420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -102 - 62*b - 1\/3*b**3 + 3\/4*b**4 + 0*b**2. What is the third derivative of f(r) wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*y - 3023 + 3023 to p*y + t and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 1:54 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -517 + 510. Is -542 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 23116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (297\/15)\/(15\/650). Suppose 5*b + b - s = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -7, -40, -91?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, r: 2, i: 3, e: 1, n: 4, y: 1}. What is prob of picking 2 n and 1 y?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1840.81 + 240.29. What is y rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*z - 3*z + 15, 5*z + 40 = -3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 28.15. Let s = -3.85 - m. Let b = -3 + 0. What is the smallest value in -0.3, b, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*n**3*s + 103*n**2*s - n - 376747*s wrt n.\nAnswer: -12*n**2*s + 206*n*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(-7\/6))**(1\/5)*(((q*(q*q**(2\/9))\/q)\/q*q)\/q*q*q*q**(-8)\/q)\/((q**(1\/5)*q*q)\/(q*q\/(q*q**8*q*q)*q)) assuming q is positive.\nAnswer: q**(-1549\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n**2 - 389*n - 1698. What is g(69)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 72 - 87 - (0 + -1 - -10 - 2)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-2)*9*(-2)\/(-9). Let z(m) = -m**2 - 13*m - 4. Let l be z(p). Calculate the highest common divisor of l and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12080 is divided by 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -85 divided by 1\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5226090 and 897.\nAnswer: 1562600910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**8)\/y)\/y)\/y*(y\/y**(-15))\/y*(y**(-3\/5)\/y*y)**22 assuming y is positive.\nAnswer: y**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -24987 divided by 4\nAnswer: -24987\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2432 (base 5) to base 3\nAnswer: -111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (10 - (5 + (-2 - -1)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -63\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -u**2 - 16*u - 199?\nAnswer: -2*u - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = -2*m - 19*m + 4888477. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1023023 by 4.\nAnswer: -1023023\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7666 is divided by 1902.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 256508?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274195023?\nAnswer: 3, 17, 19, 53, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -197, -1668, -5645, -13376, -26109, -45092, -71573?\n\"Answer: -208*x**3 - 5*x**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msm when three letters picked without replacement from {w: 1, m: 2, s: 2, b: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -2*q + 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6*f. Let i(n) = n**3 - 3*n**2 - 4*n. Let t be i(4). Suppose 1 = 3*s - h - t*h, 2*h = 4*s. Suppose -3*g + 4*g + s = 0. What is m(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 31*y - 315. Determine a(-33).\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2 + 45*m - 6. List the prime factors of s(-20).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(252) - (2*(sqrt(252) - (sqrt(252) + sqrt(252)*-1 - sqrt(252))) + sqrt(252)))\/sqrt(9))\/(6*(sqrt(16) - 1*sqrt(16)) + sqrt(16))*-2)**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 758 - 758. Which is the nearest to 2\/5? (a) v (b) -7 (c) -2\/11 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 92.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7341 = -78*o + 3597 - 2886 for o.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**3\/3 + 8*f**2 - 20*f + 7. Let v be h(14). Solve 5 = 3*z - v*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfgg. What is prob of sequence gg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + ((sqrt(7) - (2 + sqrt(112))) + -3)*6)**2.\nAnswer: 4176*sqrt(7) + 12436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2079)\/91 + (-4)\/26. Calculate the remainder when 5 - (-3 - -8) - s is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*8\/6 - -6. Suppose 31*k - 35*k + 36 = 4*d, -k = -2*d + 6. Solve 4*j - d*o = -16, 5*o = -2*j + 12 + i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 8*i**2 - 4*i. Let g = 27 + -3. Suppose -z = 2*z + g. Is q(z) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (9 + 0 - 3)) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54.5 + -55. Put p, 0.1, -0.2, -2 in increasing order.\nAnswer: -2, p, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -3, -2969072 in ascending order.\nAnswer: -2969072, -3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4078611091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k + 36. Let m be p(12). Suppose m = -6*o + 26 + 28. Let r be 3\/o*6 - 13. Put 5, r, 1 in increasing order.\nAnswer: r, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5*x - 5, 12 = 9*h + 5*x - 13. Factor 1\/5*r**2 + 2*r + h.\nAnswer: (r + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 18\/5 of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3204*v**3 + v**2 - 3*v + 1612. Let g(u) = -3188*u**3 + u**2 - 2*u + 1613. Let k(c) = -3*g(c) + 2*y(c). What is the third derivative of k(n) wrt n?\nAnswer: 18936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3\/5 - 24908*v**2 + 10120545*v = 0. What is v?\nAnswer: -124945, 0, 405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 11:54 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 754128 (base 10) in base 14?\nAnswer: 158b84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -193 - -193.5. What is the closest to 4 in -7\/2, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j + 4 - 3 + 3*j. Let y(h) be the second derivative of 4*h**3\/3 - 3*h**2 - 2*h - 1. Let b be -1 - 0 - (-2)\/1. What is b*y(i) + 6*t(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(1*-6))\/((-1794)\/2808*-27)\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*m - 11458 - 1742 = 3025 for m.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from mmmmbmbnnbnbbbmbbmnm?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-1 + sqrt(77))*5 - (6*2*sqrt(77) + sqrt(77)))\/(-1*sqrt(252)*5).\nAnswer: 13*sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-4 - -13 - (-2 - -7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 13969 to the nearest one hundred.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4843091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 3*u**2 + 3*u - 3. Give w(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(17\/3)))**(-8\/5)*s\/s**(1\/10)*s*s**13*s*s assuming s is positive.\nAnswer: s**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 8 = -4*z + 8, -11 = z + 4*r. Suppose 2*i + 3*i - 12 = 2*v, 36 = z*v + 4*i. Let q(a) = a**3 - 5*a**2 + 1. What is q(v)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -10 - 2 - (-3 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4\/13 - 774*s**3\/13 + 15316*s**2\/13 + 20760*s\/13 - 96624\/13 = 0. Calculate s.\nAnswer: -3, 2, 22, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 8:21 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15.9 and 5.\nAnswer: 79.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(3 + (-12)\/8) + -470. Let b be o\/(-6)*(-4)\/(-6). Let w = b + -20. What is the highest common divisor of 80 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001059935 rounded to seven dps?\nAnswer: 0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/3 - 95*p**2\/6 - 62*p\/3 - 25\/6.\nAnswer: (p - 25)*(p + 1)*(4*p + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*o + 38 = 112*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 - 2*r - 1. Let k(d) = 10*d**2 - 11*d + 7. Give -k(l) - 7*w(l).\nAnswer: 4*l**2 + 25*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 6. Let k be m(0). Let c(h) = h**2 + 2*h + 42. Let y be c(0). Calculate the greatest common divisor of k and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - 7*v - 7. Let y(i) be the first derivative of -i**3\/3 + 3*i**2\/2 + 3*i + 2. Let c(u) = -6*r(u) - 14*y(u). Let j(g) = -g**2. Give j(c(p)).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17366\/283 or -60?\nAnswer: -17366\/283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 138*d**2 + 2*d - 2. Let v be (-36)\/(-20) - 1\/(-5). Is i(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31614*x = -o + 31610*x - 63219*x + 20, 2*x = -3*o - 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -59. Let u(b) = -b**2 + 10*b - 7. Suppose -7 = -2*j + j. What is the least common multiple of u(j) and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2*m + 9. Suppose -v + m = 5*x - 2, 3*v = -3*x - 3. Suppose 0 = -2*b - x*a + 41, -2*b - a + 3 = -28. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1248740 divided by -2.\nAnswer: -624370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - 5. Let g = -1608.3 + 1608. Sort g, l, 4 in descending order.\nAnswer: 4, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*d**2 + 24 - 77 - 50*d**2 + (2 - 5 + 1)*(0*d**2 - 3*d**2 + 2*d**2).\nAnswer: -6*d**2 - 53","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 439974?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163745 is divided by 32712?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28028*k**4 + 1796816*k**3 + 1480384*k**2 - 47360*k - 178176 = 0. Calculate k.\nAnswer: -696\/11, -4\/7, 4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 708188436.\nAnswer: 2, 3, 37, 531673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3)\/k)**(-1\/31)\/(k\/(k*k\/(k*k**40\/k)*k)*k\/(k\/(k\/((k*k*k**24)\/k)))) assuming k is positive.\nAnswer: k**(-1301\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450864269?\nAnswer: 53, 103, 82591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -26 + 7 - (-8160)\/420. Solve 0 - 12\/7*r + 3\/7*r**3 + 12\/7*r**2 - y*r**4 = 0 for r.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 4*l + 1081 - 1033, 10*l - 2*y = 5*l - 47 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4118464, -4118462, -4118460?\nAnswer: -4118458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 124, 187?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -14, -6, -3 in decreasing order.\nAnswer: 3, -3, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**2. Let y(i) = -41*i + 27. Calculate x(y(r)).\nAnswer: 6724*r**2 - 8856*r + 2916","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4004556 (base 7) to base 6.\nAnswer: 14042210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*n + 1 = 11, 0 = z + 5*n - 11. Let h(c) = 11*c - z + 5*c - c**2 - 6*c + 2. Does 22 divide h(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62520?\nAnswer: 2, 3, 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77719075?\nAnswer: 5, 7, 444109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0 = 8. Let n be (-6)\/(-8) + (-10)\/a. Suppose -n*h - 2 = 2. What is the second biggest value in 0.1, 1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 271 - 495. Let p = x + 262.6. Round p to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9d1 (base 16) to base 2.\nAnswer: 100111010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**2*q**2 - 7*h**2*q - 3473*h**2 + 23*h*q - 12*q**2 + 62*q wrt h.\nAnswer: 2*q**2 - 14*q - 6946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1406585*b**2 - 18*b + 52. Let c be k(3). Suppose -4663263 = -4*g - c. What is g rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = r + 40. Let u = -15 - r. Let q = 7 - 5. Put q, u, 5 in descending order.\nAnswer: 5, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 45\/4 of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7129517?\nAnswer: 23, 107, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffca when four letters picked without replacement from cffcffccfcczcaf.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -25*v**2. Let l(y) = -3*y**2 + 2. Let n(p) = -39*p**2 + 27. Let i(u) = -27*l(u) + 2*n(u). Determine d(i(s)).\nAnswer: -225*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4468000840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555 a factor of 16626060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -1 + (5 - (0 - -11)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 326320*h**3 - h**2 - 487737*h?\nAnswer: 1957920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, s: 16}. What is prob of picking 1 j and 1 s?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54164292?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 15 + 0*l - l**2 - 1\/24*l**4 + 1\/40*l**6 + 0*l**5 + 1\/3*l**3. Let m(h) = h**3 + 1. Calculate -2*m(r) + y(r).\nAnswer: r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17569 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 11*x**2 - 13*x - 11. Let m be s(-12). Let r(a) = 13*a + 234. Let g(p) = 10*p + 182. Let t(j) = -18*g(j) + 14*r(j). Determine t(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -5 (c) 477 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 43.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177 a factor of 35534807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 275.\nAnswer: -2\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 985650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -3047336, 0 in descending order.\nAnswer: 5, 0, -3, -3047336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 - 20*h - 21. Suppose -9*f - 36*f = 405. Calculate z(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 693 divide 119447066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/2217961 and 50\/152379?\nAnswer: 19961649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*w + 5*r - 15 = 406*w, -2*r = -2*w - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*k + 63*k + 53*k = 550 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13372878 is divided by 13372878.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d**2 + 2*d**2 - 5*d**2)*(14 - 15 - 11)*(0*d + 0*d - d) as y*d**2 + h*d**3 + w*d + n and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2911\/(-61131)*(-147)\/(-8).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1325000 to the nearest 10000.\nAnswer: -1330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.8.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s + 0 + 0. Let r(i) be the third derivative of i**5\/40 - i**3\/6 - 2*i**2. Let c(t) be the first derivative of r(t). Determine c(v(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -27629370 divided by 90?\nAnswer: -306993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -247*x + 997. Let z be t(4). Solve 0 = 17*b - 25 - z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -13 + 7 - 7*p - 6*p**2 + 757*p**3 - 2*p**2. Let l be s(-7). Round l to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8130\/8672)\/((12\/72)\/(2\/18)).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 903721652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11090882147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, -25019, -0.2?\nAnswer: -25019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + z - 45, -14*z = w - 11*z - 3. Solve -3*r = -5*b - 10, 4*b = 7*r - w*r + 29 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 4*a + 2*a + (-2 + 2 - a)*(2 + 1 - 5))*(a - 334 + 334 - 7*a**2).\nAnswer: -49*a**3 + 7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-72) + 5\/(-24))*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -21\/2, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-5624)\/148)\/((-2)\/25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**5 - 684*q**4 + 41136*q**3 - 1015984*q**2 + 8528832*q = 0. Calculate q.\nAnswer: 0, 18, 34, 52, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3 (b) 4 (c) -23 (d) -2 (e) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + 1.1. Let u = 12.1 - t. What is the fourth smallest value in 5, u, 1\/5, 2\/35?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u**3 - 7*u**2 - 4*u. Let i(y) = 6*y**3 - 8*y**2 - 5*y + 1. Let z(g) = 5*a(g) - 4*i(g). Calculate z(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -11000000000101011010100110?\nAnswer: 11000000000101011010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 - 2*a + 89. Let c be k(-7). Solve 4*v - 1 = 5*z + c, -3*v - 4*z - 11 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 308876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 + 2*g**3 + g**3)*(2*g + 8*g - 3*g) - 4 + 4 + g**4 + 10*g**4 + 232 - 232.\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.133 (b) -7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 14*g**2 + 43*g + 229. Determine h(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102623, 99469, 94213, 86855, 77395?\nAnswer: 65833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.97 + -0.96999904. What is m rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Suppose -f*w - 2*w + 20 = 0. What is the second derivative of -3*z**3 - 3 + 3 + 0 + w*z wrt z?\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 297 - 90 = 0. Let i = p + -1679\/13. Which is the closest to 0.3? (a) 2\/5 (b) i (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqjzrrrjrjjjjjrzr. What is prob of sequence jjj?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -15. Which is the nearest to 0.3? (a) 1 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -30.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 20. Let x = b - 10. Suppose 0 = 3*d + 5*z - 120, 0*d - 4*z + 78 = x*d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(8\/3))*j*j)\/j**(1\/4))**14 assuming j is positive.\nAnswer: j**(371\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-22)\/11 - (-25)\/7)*7. Let j be ((-5)\/4)\/((-1)\/4). Let y = l + j. Calculate the smallest common multiple of y and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/7038 and 8\/6694311.\nAnswer: 40165866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m - 19. Let w be t(8). Let p = 9 - w. What is the highest common divisor of 170 and p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1))**(8\/17))**(-1\/36))**(11\/4) assuming m is positive.\nAnswer: m**(11\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 3*l**2 - 3*l + 6. Let y(q) = 7*q - 27. Let f be y(3). Is 23 a factor of i(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 25 = -10. Let v = -5 - -3. Let j = v - l. Calculate the lowest common multiple of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**3 - 25*s**2 + 36*s - 15. Calculate u(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1531545 is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2769*n**6*o + 3*n**5*o**3 + 41*n**2*o**3 - 10*n**2*o**2 + n*o**3 + o wrt n?\nAnswer: -332280*n**3*o + 180*n**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525 - (7 - (2 - 2)).\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -425413 + 24?\nAnswer: -425378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdghdqgbh. Give prob of sequence sgq.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjjo when four letters picked without replacement from {o: 1, j: 2, r: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/4 (b) 14 (c) -0.3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -646 + 1150. Suppose 6 + 0 = 3*i, 0 = 4*w - 2*i - f. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 76. Which is greater: -44 or j?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -19. Let k = w - -3. Suppose 0 = -5*i, 2*j + 4*i + 32 = k*j. Calculate the remainder when 62 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -463710000 to the nearest 1000000.\nAnswer: -464000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 3:15 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13824167 to three decimal places.\nAnswer: 0.138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*k - 5*a, -7*k - 1 = -2*k - 2*a. Let o(s) = 6*s**3 + 2*s - 1. Calculate o(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122740, -245494, -368248, -491002, -613756?\nAnswer: -736510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - l - 1 = 0, -5*x + l = -8*x - 1. Let f = 7 + -12. Which is the closest to -1? (a) x (b) 2\/65 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -1 - 3 + a - 2 + 4. Let k be l(7). Solve k*p - 10 = 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15161077 (base 8) to base 16.\nAnswer: -34e23f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*o + 592 + 82 + 481 = -26*o for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.21*-118.1.\nAnswer: 24.801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 344*x + 3783. What is y(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3880 (base 10) to base 13\nAnswer: -19c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 257664662 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j - 102*j**2 + 290*j**2 + 0*j + 2*j as q + k*j**2 + o*j and give k.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 270 = 11*w. Suppose -165 = -10*s + w. Calculate the remainder when 77 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 - 39. Let n(d) = -d**3 + 22*d**2 - 14*d - 3. Let c be n(y). What is the greatest common divisor of c and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.181303 decades to months.\nAnswer: 981.75636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**3 - 174*n**2 + 495*n = 0.\nAnswer: 0, 3, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -22. Let n(a) = -3*a - 16. Let q be n(r). Suppose -3526 = -q*j + 1249. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -2*y + 10*y. Let l = y - -10. Let a be (-8)\/(-5)*150\/12. Solve -l*u - 2*p + 3 = -11, 2*u + 5*p - a = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, -2 in increasing order.\nAnswer: -5, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 34 = 54 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -806 - -808. Solve 0 = -t*y - 2*p - 6, 4*y - 5*p + 10 - 34 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -21, 52, 153?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5406 divided by -106\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 - 4*h**3 + 3*h**3)*(2 - 2*h**2 - 2 + (-2 + 4 - 3)*(3*h**2 + 3 - 3) + 3*h**2 - 2*h**2 - 2*h**2).\nAnswer: 24*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -5*i**2 - 1140365*i + 3421140 = 0.\nAnswer: -228076, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 15 = 2*c. Suppose -t + 0*t = -q - 2, 0 = c*t + 4*q - 55. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 827*v + 42006 + 42002 - 84005 as m + g*v and give g.\nAnswer: 827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) 3 (c) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 6*h**2 + h. Suppose 4*i = -4 - 20. Calculate x(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 663249 is divided by 16580.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -22536\/5 (b) -3\/5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -118*w**2 + 349*w + 15. Let m be p(3). Which is the nearest to m? (a) -2\/3 (b) 5 (c) 31 (d) 0.72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 - 1696945*k**2\/2 - 3393884*k - 3393882.\nAnswer: -(k + 2)**2*(k + 1696941)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 5*s + 41. Calculate the remainder when y(-13) is divided by 42.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 15 = -90. Suppose -s + 2*x = s, -2*s - 3*x + c = 0. Let p(y) = -y**2 + 11*y - 7. Let g be p(10). Solve -g*u + s = -4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 6:32 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + sqrt(325)*1 + 0)**2*-3.\nAnswer: -987 - 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -380, -394, -432, -506, -628, -810, -1064?\nAnswer: -1402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 - d?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*d + 44*d + 41548 = 0. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/3 - 100*n\/3 + 962\/3.\nAnswer: 2*(n - 37)*(n - 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 558240000 to the nearest 1000000.\nAnswer: 558000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 153 - 155. What is the third smallest value in -3, -10, f, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385028 a multiple of 398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gygyygy. Give prob of picking 3 y and 1 g.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2201001 - 0?\nAnswer: 2201001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-46 + 16 + 14)*(3*v - 4*v - v) - 14 + 14 + 6*v)*(2*v**4 - 4*v**4 + 0*v**4).\nAnswer: -76*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 5. Let k be -2 - -4 - 22\/r. Which is the third smallest value? (a) k (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 1671, -0.3, 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366 + 475 = j - 3*w, 5*j + 5*w = 4165. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221 - -22103031?\nAnswer: 22103312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 3*s - 234 = 12*s. Which is smaller: s or -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-2))\/(1225\/(-1050)). Factor 6\/7*n - q + 3\/7*n**2.\nAnswer: 3*(n - 1)*(n + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36035292659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 7*l - 7. Let v be u(5). Suppose 0 = -3*n + 3*z - 2*z - 20, -5*z - 44 = v*n. Let x = -13 - n. Which is the nearest to 0? (a) x (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-6)*(-2)\/84*-29*(-60)\/(-6960)?\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -348936, -697380, -1045824, -1394268, -1742712?\n\"Answer: -348444*v - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 25 (b) -14 (c) -2 (d) -5\/2 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*p**2 - 145*p**2 + 41*p**2 + 64*p**2.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 34411, 68837, 103279, 137737, 172211, 206701?\n\"Answer: 8*n**2 + 34402*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.837331 to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18092, -35355, -52618, -69881?\nAnswer: -87144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 337515 * 0.19\nAnswer: 64127.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.6864 rounded to two dps?\nAnswer: 7.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.12 - 3.48. Let m = a - -4. What is the biggest value in 1, m, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c**2 - 2. Let z(k) = 46*k**2 - 11. Let b(g) = -11*v(g) + 2*z(g). Let m(y) = 11*y. What is m(b(f))?\nAnswer: 44*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39 and 18688188?\nAnswer: 242946444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o + 4. Let s be w(8). Let z = 44 - s. Calculate the greatest common divisor of 24 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 9*x**2 - x - 7. Determine g(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-11 - (-21 - -41)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(1288\/(-828))*88\/18?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130707 divided by 498.\nAnswer: 43569\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8*y - 25 = 0, 0 = h - 3*y + 4. Calculate the least common multiple of h and (2\/2)\/(4\/24).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*169827514\nAnswer: 339655028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*z, -g - 2*g + 15 = z. What is the highest common divisor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 2. Let n = -214 - -1071\/5. Which is the closest to j? (a) 5 (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-12)*-6*(-1)\/(-3)*44\/(-11)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 + o**2 + 2*o**5 + (-2*o - o + 2*o)*(2*o**4 - 5*o**4 + 0*o**4) + ((-2 + 1 - 1)*(-5 + 2 + 1) - 2 + 2 + 1)*(2*o**5 + 0*o**5 - o**5).\nAnswer: 10*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -15812?\nAnswer: -15815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*a = -40, b = 4*b - a + 7. Let y = 15788 - 505141\/32. What is the common denominator of b\/14 + (-1098)\/28 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**6\/120 + 13*o**5\/60 - 17*o**4\/24 - 2*o**3 - 2*o**2. What is the units digit of z(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -17*o**2 + 48*o**2 - 17*o**2 - 16*o**2. Let x(q) = 7*q. What is x(b(w))?\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 26.97. Let y = -4.03 + u. What is the biggest value in 1\/4, -0.04, y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -2\/13 (b) -111 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -a1315 (base 11) in base 3?\nAnswer: -21112011221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -144 - (114 - 96 - 113).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*v + 12 = -75*v. Suppose -v*t = -1731 - 7849. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, m: 1, x: 1, f: 2, j: 6, u: 2}. What is prob of picking 1 j, 1 i, and 1 f?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -11*k**2 - 10*k + 5. Let r be (26 - -10)\/12 - 0. Let u(b) = 6*b**2 + 5*b - 3. What is r*l(i) + 5*u(i)?\nAnswer: -3*i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -105239 and -105339 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1235 and 15105?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - -11. Calculate the greatest common factor of y and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(51)\/sqrt(75) - sqrt(612)*1).\nAnswer: 29*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 9:05 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 8*b**2 - 3*b - 18. Let c(r) = -r + 1. Let h(x) = -5*c(x) - v(x). Let s be h(9). Solve 5*p - 4*p = -s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*f + 27*f + 30*f**2 - 28*f**2 - 1 as w + a*f**2 + r*f and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206.43*0.4.\nAnswer: 82.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1110?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1664, -1, 0, 4, -61 in descending order.\nAnswer: 4, 0, -1, -61, -1664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-7\/4)\/v**10 assuming v is positive.\nAnswer: v**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*f**2*m**3 + 3*f**2*m**2 - 15*f**2 - f*m - m wrt m?\nAnswer: 30*f**2*m + 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11708326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 12*z**2 + 11*z + 1. Let c be o(-11). Calculate the smallest common multiple of c\/2 - 30\/(-4) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 + 14*h + 7. Let w be u(-6). Let c = w - -198. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 0.2, 11, 2\/21 in decreasing order.\nAnswer: 11, 0.2, 2\/21, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0.1. Let s = y - 1.1. Let p = -640 - -640.5. What is the nearest to s in -3\/5, p, -2\/13?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.4377.\nAnswer: -0.08754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26728 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 2) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.3 at least 895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 6*a**2 + 2*a. Let z be v(-7). Calculate the highest common divisor of z and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53575 is divided by 570.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3388 = 274*l + 922 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6194 times 11876?\nAnswer: -7355.9944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 133*n + 128*n - 14289 + 2121 - 263*n - 5988 to the form i*n + p and give p.\nAnswer: -18156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*i = 140*i + t - 51, 5*i + 3*t - 76 = 0. Suppose -4 = 4*a - 2*a. Let z = a + 33. Calculate the remainder when z is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2557802*d**2*w - 2736653*d**2 - d wrt w?\nAnswer: 2557802*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -14. Suppose 2*g - 6*g - 359 = 5*l, 3*g + 4*l + 270 = p. Let b = g + 123. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 96944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*-6*((-2 + sqrt(2736))*3 + (sqrt(2736) + 2 - sqrt(2736)) + -4))**2.\nAnswer: -518400*sqrt(19) + 22219205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 3*o = -4*z + 21, o = 4*z - 9. Suppose -o*s - 11 = -2*u, -2 + 14 = 3*u - 3*s. Solve -i + 0 - u = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x + 72*x - 30*x - 16*x - 11*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 1 = 7. Let k be (-3)\/(-18) + u\/(-8). Let i = -40.1 - -40. Which is the second smallest value? (a) i (b) 0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 1\/360*w**6 + w**2 + 1\/36*w**4 + 0 + 1\/60*w**5 + 0*w + 0*w**3. Determine s, given that m(s) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.98474952 rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13610 - -13609. Suppose -a = -6*a - 10. What is the second biggest value in a, q, -1\/8, 5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 0*c**2 + 2*c**2 + 2*c**2 - 18 + c**3 - 5*c**2 - c. Give g(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvck when four letters picked without replacement from {e: 1, v: 1, k: 1, c: 1, n: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -164 - -163.87. Let a = j - -0.85. What is a rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167828?\nAnswer: 2, 41957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 11, u: 5, o: 1}. What is prob of picking 1 h and 1 o?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -4 - 1 - 7 - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -8*p**3 + 223*p**2 + 10*p + 108. What is w(28)?\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 47*x - 6. Let j be o(7). Let w(l) = 65*l - 1. Let r be w(7). Let i = r - j. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 19*h + 11. What is k(-6)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 - 2*y + 35 - 37 + 33 + 30 to h*y + d and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30628591?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 17650*m + 917782. Give x(-52).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 5. Let f(g) = 56*g + 46. Let z(p) = -10*p - 9. Let s(q) = 2*f(q) + 11*z(q). Calculate s(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 3, h: 2, r: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*p**5 + 22*p**2 - 180*p - 1.\nAnswer: -80*p**3 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -17*w - 66. Let o be f(-6). What is the highest common factor of o and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 500, 486, 456, 404, 324, 210?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10*(-1)\/4 - 1. Let x = -3706 + 7411\/2. Which is the closest to 2\/5? (a) m (b) x (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3*m**5 - 62212*a**3*m**3 - 179*a**3*m - 9*a**3 + 4*a**2 wrt m?\nAnswer: 40*a**3*m**3 - 373272*a**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 12*c**2 + 54*c - 317. Let v be h(5). Solve 7*q + v - 232 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/15 - 88\/885. Let b be (-144)\/(-2)*140\/20. Suppose -500*w + b*w = 0. Which is smaller: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -49738*g + 547105. Calculate u(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -461*a**2*i*u + a**2*i + a**2*u - a**2 + 83*a - 2*i*u - u wrt i.\nAnswer: -461*a**2*u + a**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 6:19 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30524 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20914*a + 20889*a - 41803*a + a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q**2 + 55*q - 5. Let h be z(8). Let n = h - -15. Let x be ((-18)\/(-4))\/(-3)*2. Is n equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 2.11.\nAnswer: 0.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9030c (base 14) in base 16?\nAnswer: -548e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31848 and 13965?\nAnswer: 148252440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 63*m**2 - 977*m - 95. Calculate the remainder when 363 is divided by s(-36).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 201113, 201116, 201119?\n\"Answer: 3*i + 201110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1022481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7530 a multiple of 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.272 - 0.672. Which is the smallest value? (a) -2 (b) f (c) 4 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6491?\nAnswer: 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*u = 5*k + 2, -5*u - 39 = -4*k. Let m(q) = q**3 + 8*q**2 + 8*q + 8. Let d be m(u). Let a be (-3)\/d - (2 - 1). Let n(r) = r + 5. Calculate n(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, k: 3}. Give prob of picking 1 b and 1 k.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/4)\/((-2)\/((-20)\/5)). Suppose n*s = 2 + 8. Let q(m) = m**2 + 11 - 2*m**s - 21 + 7 - 6*m. Determine q(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - (-67 + 65)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 + 1. Let y = 0 + 0. What is the biggest value in 0.5, h, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.1 - -15. Let f(t) = 2*t - 1. Let o be f(1). Suppose -12 = -5*v + 3. What is the closest to o in r, -0.3, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 56.05273ml?\nAnswer: 0.05605273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1541*u**2 - 2*u - 3. Let j be s(-2). Suppose 9*v - j = -6*v. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*sqrt(51)\/(sqrt(3) + sqrt(21)\/(sqrt(21)\/sqrt(3))) + ((1*sqrt(68) + sqrt(68))*-1 - (sqrt(68) + sqrt(68)*-1*3))**2.\nAnswer: -3 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -12, -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 2. Let d = v + 16.45. Let p = d + -0.05. What is the second biggest value in 5, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 15. Let w be (m + 2)\/(4 - 9). What is the closest to 0 in 2\/5, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/33*8558\/10892)\/((-2)\/388).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/4*(-1)\/10. Let o be (-6)\/(-12)*(-5)\/(60\/8). Let f = 3.1 - 3. Sort o, y, f in descending order.\nAnswer: f, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1612995786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 3*k + 10. Give n(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -55. Suppose -3*z - 4*u + 226 = 0, m = -4*z - 6*u + 10*u + 292. Calculate the lowest common multiple of 8 and z.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6528764 - 3a?\nAnswer: -65287a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 4:26 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/8)*j)**(-18\/7))**(-40) assuming j is positive.\nAnswer: j**(810\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1035 and 805?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.785512l in millilitres?\nAnswer: 2785.512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3359 + 5068. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11 and -497518.51.\nAnswer: -497529.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166009 is divided by 7217?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/5, -4, -1378 in descending order.\nAnswer: -8\/5, -4, -1378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 173 and 11?\nAnswer: 1903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10567533?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24 + 2)*(-2)\/(-4). Suppose 2*c + w - 3 = -27, 5*w + 20 = 0. Let b(g) = g**2 + 5*g - 11. Let o be b(c). Calculate the highest common factor of o and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -21037?\nAnswer: -21039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 5*p + 3 - 0, -p = -3*n - 2. Let v(y) = 1. Let r(s) = s + 1. Let x(c) = 8*c**2 + 63*c - 9. Let k be x(-8). Give k*v(j) + n*r(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from wsazv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 10. Suppose -m + 24 = -3*x, x - 28 = -2*m + 3*x. Let z be (6\/m)\/((-6)\/81). What is o(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 divided by -67.\nAnswer: -124\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 73\/5 of a kilogram?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 7:26 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 29 = 23 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-32))\/(-8*4\/(-64)). Let l(x) = -x - 7. Let d be l(-5). Which is the third smallest value? (a) -3 (b) d (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -77.77 (b) -0.105 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -73, -106, -141, -178, -217?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/3 and -43\/43873.\nAnswer: 131619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 694196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 19952887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**5\/60 + 323*j**4\/36 - 643*j**3\/18 + 107*j**2\/2 - 1631*j. Factor x(y).\nAnswer: -(y - 321)*(y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59.3? (a) 49 (b) -5\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 15*u + 47. Give m(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 84 and -218259510.\nAnswer: -218259426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 58 and 1.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three fifths of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (114\/133)\/(15\/14)*(-30)\/14?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**6\/y**(-7)*(y\/(y\/(y\/y**(1\/4))))**(-7\/4)*(y**(-1)\/(y**(-3)\/y))\/(y\/(y*y**(1\/5)))**(-29\/2) assuming y is positive.\nAnswer: y**(943\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 215706583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-8)*4 + -1. Let s(y) = y - 14. Calculate s(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443981 is divided by 88794?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from urururrrrruurrrurru.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -332.8 + 332.802479. Round k to 4 dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + (-2)\/8)*4. Let m(b) = b**3 - 6*b**2 - 5*b - 10. Let r be m(f). Factor 20*k**2 - 7 + 66*k**3 + 2*k + 80*k**r + 7 + 32*k**5.\nAnswer: 2*k*(k + 1)**2*(4*k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94 by -7.\nAnswer: -94\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 663 and 39.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 11:30 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000041059947 rounded to 7 dps?\nAnswer: -0.0000411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 5. Let x be r(4). Let q(v) = -v**2 + 4*v + 2. Let y be q(4). Suppose 1 = -n, y*c + n - x = 2*n. Solve h + h = c for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 12:47 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -3, -8.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*x**4 + 26*x**3 + 2137*x**2 wrt x.\nAnswer: 72*x + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 267717 and 2097?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -215880 divided by 12\nAnswer: -17990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -2. Let k(t) = 270*t**3 + 1. Let h be k(b). Let x = -152 + h. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/4*g**3 + 1\/4 + 1\/4*g - 1\/4*g**2 = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 451486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -396 at most -396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/4, 0.67, 1, 0.7, -3.6 in ascending order.\nAnswer: -3.6, -1\/4, 0.67, 0.7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 1. Suppose -2*q - 6 = -5*r, -s*q + 0*r = 4*r - 37. Let i = -5 + q. Solve i*h = -h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 17*c**2 + 1. Let l(v) = -2*v - 28925. Calculate l(d(z)).\nAnswer: -34*z**2 - 28927","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 0.07, -0.2, 2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**3 + n**3 + 0*n**3 - n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2430 - 132013414?\nAnswer: -132021344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2 - 3 - b**2 - 4 - 9*b - 2. Let y be o(-8). Let d(g) = -g**3 - 4*g**2 - 2*g + 2. Give d(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*h - 44*h - 17 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2349*u**4 + 18*u**3 + u**2 - 1 + 2346*u**4 - u**2 in the form j + g*u**4 + p*u**3 + i*u + h*u**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1088*y**2 - 1097*y**2 + 2187*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 10\/19, 1, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2156744643730 - 0.\nAnswer: 2156744643730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4e0e20 (base 16) to base 12.\nAnswer: -1868394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/4 of a tonne in kilograms?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 q when three letters picked without replacement from vqvxxqxvqqvxvdqvxvq.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -310, -320, -342, -382, -446, -540?\nAnswer: -670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/1763 or 2\/3?\nAnswer: 9\/1763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-96)\/(-28)*7\/2. Let b be (1 + -1)*-1 + 3. Solve -h + 5*g - 19 = 0, -b*g = -c + 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70739 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*s - 13 + 15 = 0, 3*s = w. Solve 4*u - 4*j - 1 = w, 21 = 5*u - j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -898, -1, -4, -1556 in descending order.\nAnswer: 3, -1, -2, -4, -898, -1556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1099 - 3 + 140 = -74*s. Solve -s*c = -g - 8*c + 4, -2*g = -4*c - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 1 - 144*y - 1 - 5*y + 148*y. Let r(k) = k**2 - 60*k. Calculate v(r(p)).\nAnswer: -p**2 + 60*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -30) + -4 + 4 + -8.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**4\/4 - d**2 + 12650*d. Let r(g) = -16*g**2 + 11. What is -33*h(x) - 6*r(x)?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 14*x - 32. Suppose -f + 2*o - 11 = -153, -2*f - x*o + 302 = 0. Does 17 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515 is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -1557*q**2. Let w(u) = -2*u - 5. Calculate w(b(f)).\nAnswer: 3114*f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 13*m**4\/12 - 28*m + 1. Let f(g) = 9*g**2. What is f(i(p))?\nAnswer: 1521*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310261 to the power of 1\/2, to the nearest integer?\nAnswer: 1145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*f - 81 = 198*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 630261 and 50953.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177618668?\nAnswer: 2, 3697, 12011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210122 - -211?\nAnswer: 1211110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 16*y**2 + 42*y - 583. Give l(-21).\nAnswer: 740","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 2*g**2 + 1. Let i(c) = -3*c**4 - 16*c**3 + 11*c**2 + 12*c + 4. Let b(y) = i(y) - 4*k(y). Find a such that b(a) = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*l = -20, -l = 16*k - 21*k + 24. Solve k*m - 6 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*((-11)\/10 + 14\/28). Let x(n) = -n - 3. Let v be x(-19). Solve 5*y - i = -4*i - v, i - c = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -476, -7\/2, -7 in descending order.\nAnswer: -7\/2, -7, -476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -32. Let v = 27 - f. What are the prime factors of v\/8 - (-3)\/(-12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 112 - 83. Suppose 31*z - a*z = 132. What is the smallest common multiple of z and 4?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-40))\/(3\/(-60)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441144?\nAnswer: 2, 3, 11, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 1730\/13, 84?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, u: 1, j: 3, s: 3, l: 1}. What is prob of picking 2 j, 1 l, and 1 u?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(1 + -3 + -39). Let d = a - 36. Suppose -d*h = -1702 - 273. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/323822 in -5, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 183547 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3483 (base 12) in base 14?\nAnswer: -21c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201920 is divided by 1232.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 28 + 28.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**1)\/c)**(1\/46)*c**13\/((c*c*(c\/c**(-22)*c)\/c)\/c) assuming c is positive.\nAnswer: c**(-507\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46162 + -30806?\nAnswer: -77068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 22883682 divided by 3\nAnswer: 7627894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18709.\nAnswer: 53, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((95 - 92) + 4 + 1 - (-15 - 45)) + 7.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5680*o + 528247. Determine r(-93).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145826372 + 3?\nAnswer: 145826375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2016257.4 months to centuries.\nAnswer: 1680.2145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2267 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-576)\/(-10) - (189\/(-35))\/(-9). Suppose -117 = -3*v - v + y, -y - g = -2*v. Suppose -16*n = -6*n - v. Solve -2*s = -4*s + 6, n*s - 4 = -5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1817 - -1819.917. Round j to 1 decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 9:21 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 213, 16, 578, 0.\nAnswer: 0, 16, 213, 578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdncccmcfc. What is prob of picking 1 c and 1 n?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -255 - -542. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) -1575 (c) -22\/1891\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-77)\/55)\/(1\/(-5)). Suppose 3*j + 2*j = 10. Which is the biggest value? (a) j (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13940000 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 108766.2 months in years?\nAnswer: 9063.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 406 + 15389?\nAnswer: 15795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3461 + 3460.9999982417. What is r rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from viiiyxijxvyyyy. Give prob of sequence jiiy.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*m + 3*b - 1, -5*m - 5 = 2*b. What is the units digit of (-14)\/m*(-45)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.5 + 4. Let v = -6 - y. Which is smaller: v or 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1431 and 169\/378.\nAnswer: 20034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18535652 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: What is the highest common divisor of 448 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -316*r - 23329. Calculate m(-74).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 2*o**3 - 5*o**2\/2 + 7*o + 154. What is the smallest common multiple of q(2) and 114?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(2\/(-8))\/(35\/(-168))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*d + 28 = -2*z, -5*z = -10. Let g(l) = -l - 9. Let r be g(d). Suppose -12*w + 270 = -r*w. Is 19 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * -93.4.\nAnswer: -7.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -916678\/3 - -305560. Factor -40\/3*c + 6*c**2 + 0 - s*c**3.\nAnswer: -2*c*(c - 5)*(c - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 55*f - 1252. Suppose -2*d - 370 = -4*a, -3*d + 9 + 66 = a. Suppose 3*b = -0*b + a. What is the remainder when b is divided by v(23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*6.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2)**(-20)*j*j**(-4\/3)*j*(j**(-11)*j)\/j assuming j is positive.\nAnswer: j**(-151\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 k, and 1 f when three letters picked without replacement from rttmmmfftttmrmkftmm?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12236 and -39.\nAnswer: -12275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from viwwiwwyy. What is prob of picking 1 y, 1 v, 1 w, and 1 i?\nAnswer: 8\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + k + 640 = 672, 8 = f + 3*k for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**2 - 26247*q - 10498 = 0 for q.\nAnswer: -5249, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004566 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**3\/3 + 27*h**2\/2 + 29*h + 58. Let l be y(-25). Which is smaller: -18 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 + 972*a**2 + 15455*a\/2 - 31944.\nAnswer: (a - 3)*(a + 11)*(a + 1936)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + (32 - -3 - 44) + (-3 - -1).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeedededeeeeeeeee. What is prob of picking 2 d?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -7*l + 2*l. Suppose 0 = 4*f - 5*g + l, 2*f - g + 5*g - 10 = 0. Is f\/(3596\/(-1796) + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 124.7719032 nanoseconds?\nAnswer: 0.00000000000020630275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z - 46 = -7*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 4:40 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1049*b + 935*b + 2860*b.\nAnswer: 2746*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -45*t - 9. What is the remainder when v(-2) is divided by (0 - 2\/8)\/(65\/(-5460))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + (-22 - -37) + -13 + 28.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-95)\/1520 - (-1)\/16. Sort 8\/5, b, 1.\nAnswer: b, 1, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2. Let a(o) = -o - 1. Let s(z) = -28*z - 21. Let h(m) = -21*a(m) + s(m). What is y(h(l))?\nAnswer: 98*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*6 + sqrt(17) + 2 - sqrt(17)) + 1 + -3 - (6*(sqrt(204) + 2*sqrt(204)))\/(-2*sqrt(1452) - sqrt(1452)).\nAnswer: 72*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18969 + 31805 = 2427*d - 29483 + 166 for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 18 = -9. Suppose u*f = -6*f - 81. Let l(x) = x**3 + 8*x**2 - 6*x + 4. Calculate l(f).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 12:08 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 58854543037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, z: 6}. What is prob of picking 1 w and 1 z?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v - 38. Determine i(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -16) + (47 + 24 - 121)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Is 605 a factor of 2316159010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.7 + -4. Let w be (-6107)\/(-1970) + 2\/(-20). Let l = 0.07 - -0.23. Which is the third smallest value? (a) i (b) l (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/3 + 9344*g\/3 - 116432.\nAnswer: -4*(g - 2298)*(g - 38)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274092.\nAnswer: 2, 3, 7, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h**(-1\/11)*h)\/h)*h*((h*h**(-10)*h)\/h)\/h)**(4\/5))**(18\/11) assuming h is positive.\nAnswer: h**(-7056\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71 - -79. Let b(o) = -o + 9. Let s be b(c). Does 11 divide (-3 - -2)\/(s - 78\/77)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 2, 9, 30, 71, 138, 237, 374?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -6. Let f = 1.08 + -1. Let q = 4.08 - f. What is the third biggest value in c, -1, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 7\/5 (c) 2\/13 (d) 2 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -93, -86, -67, -30, 31?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 208 = -0*k. Calculate the highest common factor of k and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1466574079 to the nearest integer?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**3 + c**2 - 3*c + 1. Suppose -2*p + 3 = -1. Let r be x(p). Let o = r - -54. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3 + -1 + 1. Let b = -5.5 + 6. Sort x, b, -5\/4 in descending order.\nAnswer: x, b, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 69 - 46 = 0. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbi when three letters picked without replacement from {f: 2, s: 1, m: 7, b: 1, j: 1, i: 2}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 + o - 4. Let p be d(5). Suppose 124 = -4*r - k, 0 = r + r - 3*k + p. Find the common denominator of 3 + -1 - (-81)\/r and 29\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 669637 divided by -108.\nAnswer: -669637\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 4:38 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7733 + 7733.0000004967. What is x rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 30*x**3 + 2*x + 1. Calculate c(-1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-30) + 8631\/945.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*x - 1627 = 0, -575 = 2*m - 5*x + 479. Let a = 540 + m. What is the remainder when 28 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1566 = -17*z - 223. Let o(j) = j**3 - 8*j**2 + 5*j + 15. Let w be o(7). What is the highest common divisor of w and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3101.814 months?\nAnswer: 0.2584845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 5*d + 4. Suppose -2*i + 3 + 1 = 3*r, -4*i - 3*r = -14. What is the remainder when j(4) is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.719237 months to millennia.\nAnswer: 0.00139326975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -175*y**4 + 268854*y**2 + 97550357*y wrt y?\nAnswer: -2100*y**2 + 537708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**5 - 70*v**4 - 116*v**3*z - 138*v**3 - 2*v**2*z + 14777611 wrt v?\nAnswer: 60*v**2 - 1680*v - 696*z - 828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.002 + 4.998. What is the third biggest value in 1\/5, 0.02, a?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*s**2 + 307468*s + 20161018 wrt s.\nAnswer: -24*s + 307468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 2:30 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -2*x + 4, -5*x + 72*l - 67*l + 25 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*y + 10*y. Find the third derivative of 141*s**3 + y*s**2 - 163*s**3 + 4*s**2 + s**2 wrt s.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1008)*2)**2.\nAnswer: 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1530.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6470, -13960, -22490, -32060, -42670, -54320?\nAnswer: -67010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2 + 17*g + 59. Let l be a(-19). Suppose 10*y - 1701 - l = 0. Suppose -y = 8*s - 17*s. What is the highest common factor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**3 + 0*v**3 + 0*v**3 + (0 + 0 - v)*(-5*v**2 + 4*v**2 - 2*v**2 - 7*v**2 + 6*v**2 - 12*v**2 + (-2*v + 2*v - v)*(-2*v + 2*v + 2*v)).\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2\/4 - 2291*g\/2 = 0. What is g?\nAnswer: 0, 4582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 7 - (-9 + (5 - 6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2386486*f**2 + 36*f - 41662?\nAnswer: 4772972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 11:17 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*3*(-1 + 2). Let v(j) = -130*j - 3. Let w be v(r). Suppose -w = 4*q - q. What is q rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -540*z + 30 = -539*z - 9*k, 4*k = -z - 35 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10426 is divided by 237?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + sqrt(72)\/(sqrt(28)\/sqrt(7)) + sqrt(2592)*4)\/(-6*(sqrt(294)*-4*4 + sqrt(294))).\nAnswer: 5*sqrt(3)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293196*r**3 + 293190*r**3 - 586417*r**3.\nAnswer: -31*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, o: 1, w: 2, b: 4}. Give prob of picking 2 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91627586?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-10)\/(-8 + 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3560, -3565, -3570, -3575, -3580?\nAnswer: -3585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29265666 to the power of 1\/2, to the nearest integer?\nAnswer: 5410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/(140\/10) + 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201221122112 (base 3) in base 7?\nAnswer: -3223553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*q**3 + 11*q + 768*q**3 - 188*q**3 - 193*q**3 - 194*q**3.\nAnswer: 3*q**3 + 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t*z**5 + 13*t*z**2 + 2*t*z + 2*t - 6*z**5 + 35*z wrt z.\nAnswer: -20*t*z**3 + 26*t - 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1393580 divided by 12.\nAnswer: 348395\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/4, 23, 2, -23\/6, 0.4.\nAnswer: -23\/6, 1\/4, 0.4, 2, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 5, -x + 25*j = 28*j - 8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**4\/6 + 10*s**3\/3 - 40*s**2. Let b be x(-5). Suppose b = -2*t + 7*t - 735. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-451*b + 58199 - 58199)*(1 - 1 + 5*b**2) to the form p*b**2 + r + f*b**3 + x*b and give f.\nAnswer: -2255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*h + 5 - 38*h + 85*h - 4*h**2 + (3*h + h - 2*h)*(3 - 3 + 2*h) - 6*h**2 + h**2 + 4*h**2 as w + v*h + z*h**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/13)*x*x)**(-49))**(-13) assuming x is positive.\nAnswer: x**1078","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4814, 2\/11, 3\/17 in decreasing order.\nAnswer: 4814, 1, 2\/11, 3\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2 - 133*a - 1000 = 0. What is a?\nAnswer: -125, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.1 (b) 0.5 (c) -1\/170 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 9*j + 4*l - 32 = 0, 5*l = 5*j - 10. Solve -b + j = -4*u + 4*b, -3*u + 5*b = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 840, 346759, -4\/5 in ascending order.\nAnswer: -4\/5, 840, 346759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303342963.\nAnswer: 3, 7, 11, 113, 11621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173835738.\nAnswer: 2, 3, 137, 157, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 0 + 11*n + 3\/2*n**3 + 1\/6*n**4 + 7\/2*n**2 - 33\/20*n**5. Is y(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25970129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3817, 12835, 27865, 48907, 75961, 109027?\n\"Answer: 3006*d**2 + 811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w**4 - 4*w**4 + 3*w**4)*(11 - 6 - 16) as x*w**3 + n*w**4 + k*w**2 + a*w + m and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -22 - 30 - -9 - (-3 + -42)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + n + 40 = 0, 0*f = 5*f + n - 40. Let t(l) = l**2 - 6. Give t(f).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86 + 50. Let g be (a\/(-45))\/((-4)\/(-10)). Solve -30 = 2*q + 4*h - 6, -g*q + 3*h + 4 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 9*d - 12*d)*(3 - 1 - 3)*(d**3 + d**3 - d**3).\nAnswer: 17*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 528 - -3034. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 264 and 28684326.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67 and 1072?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -39 - (-8 - (5 - (3 + -3)))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**5\/90 + r**4\/18 + r**3\/9 - r**2\/2 + 4. Let p(s) be the second derivative of b(s). Factor p(q).\nAnswer: 2*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/9 (b) 706 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -630 - -630. Solve -k + q - 6 = -i*q, 4*q = 3*k + 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3.92 (b) -1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 18*f**2 + 36*f - 20. Let j be v(16). Suppose -20 = 8*c - j. Factor 0*d + 0 + d**4 + 1\/3*d**5 + d**c + 1\/3*d**2.\nAnswer: d**2*(d + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w - 3*w)*(-w + w + 2*w)*(0 + 2 - 6)*(w**2 - 3 + 3)*(71 - 27 - 24).\nAnswer: 480*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/36*24\/(-7 + 15). Let m = 1 - 5. Sort m, g, -2\/3, -2\/7 in descending order.\nAnswer: g, -2\/7, -2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 296, 1798, 4506, 8420?\nAnswer: 13540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-156)\/(-18) - (-2)\/6. Suppose -39*r - 5800 = -5683. Sort p, r, 1, -5 in descending order.\nAnswer: p, 1, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7785782?\nAnswer: 2, 19, 331, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ryy when three letters picked without replacement from {u: 3, r: 2, y: 2, w: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 - 107655320*a**2 + 11589667924302400*a.\nAnswer: a*(a - 215310640)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 163 and 137083.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/7)\/r)**10*(r**(3\/7))**2 assuming r is positive.\nAnswer: r**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 3, -5, 0, -223, 4, -4 in ascending order.\nAnswer: -223, -5, -4, 0, 3, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5708796 by 6772.\nAnswer: -843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r**3\/5 + 332*r**2\/5 + 56*r\/5 = 0. Calculate r.\nAnswer: -1\/6, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 38 - 30 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a kilometer in meters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 87*r - 90*r. Suppose r*z = 12*z + 264. What is the remainder when 216 is divided by z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -1\/6*b**3 + 0 - 4*b**2 + 4*b. Calculate the lowest common multiple of 5 and t(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 6:59 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h**2 - 2*h + 1. Let v be w(-3). Let o be 0 + 0 + 0 - v. Suppose 0 = -3*a - 4*t + 151, 0*a + 3*t = -a + o. Does 18 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8)**(-1\/13)\/(c**31)**45 assuming c is positive.\nAnswer: c**(-18143\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77953*r**3 - 101779*r.\nAnswer: -467718*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 131587 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*k**5 + 0*k**5 + 3*k**5 - 10*k**2 + 25*k**2 wrt k.\nAnswer: 720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 1:14 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + sqrt(95)*-1)*3)\/sqrt(5) - sqrt(114)\/(sqrt(6) - sqrt(18)\/(sqrt(6)\/sqrt(2)) - sqrt(6)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - 24. Let v = 10 - m. Let h = -8085 - -8089. Calculate the lowest common multiple of h and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 320761.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from odouondmodmonod.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/2 + 9*g\/2 + 6.\nAnswer: -3*(g - 4)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020012110 - 10121102?\nAnswer: 2002121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -366 - -371. Suppose r*m + 5 = -5*c, -8*c + 11*c = -4*m. Calculate the remainder when 39 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.081771214 to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 14 = -4*u. Let b be (-4)\/14 - 40\/u. Let i(w) = 2*w**2 + 4*w - 14. List the prime factors of i(b).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 11967 and 11975 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggagogpyapaaagyp. Give prob of sequence gagy.\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -500111112?\nAnswer: -500111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + l**2 - l + 20. What is the remainder when 1\/(-6)*8*(-27 + 0) is divided by z(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -678\nAnswer: -1\/678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 419736661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 6. Let i = 8387 + -8410. Sort 5, q, i in descending order.\nAnswer: 5, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 981 + -975. What is the third derivative of -13 + 10 + 0 + 3 - f**2 + 299*f**r wrt f?\nAnswer: 35880*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 20 + -11 - (0 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m. Let h(i) be the third derivative of 14*i**5\/3 + 2435*i**2. What is h(p(w))?\nAnswer: 280*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8453212*c**6 - 9874647*c**2 wrt c?\nAnswer: -1014385440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*c + 5596 = 0, -1121 = -3*r + 4*r + c. Round r to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -9*g**3 - 10*g**2 + 27*g + 18. Let p(r) = -26*r**3 - 30*r**2 + 82*r + 51. Give 6*p(j) - 17*q(j).\nAnswer: -3*j**3 - 10*j**2 + 33*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 6:39 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 347738*c**4 + 7795*c**2 - 14.\nAnswer: 8345712*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8208 is divided by 243.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*v - 20. Suppose u = -3 - v. Let z(x) = -x**3 - 8*x**2 - 11*x - 9. Is z(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -10.\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert a64 (base 12) to base 2.\nAnswer: 10111101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 112013 (base 5) in base 15?\nAnswer: 12c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -1\/60*a**5 + 0*a + 0*a**3 + 0*a**4 + 0 - a**2. Let z(j) be the first derivative of -2*j**3\/3 + 2. What is i(z(p))?\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -11*c**2 + 15044. Let s(y) = 11*y. Calculate s(r(w)).\nAnswer: -121*w**2 + 165484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/8 - 327*f**3\/8 - 2601*f**2\/4 + 6175*f\/2 - 3249 = 0. Calculate f.\nAnswer: -19, 2, 342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u = -11*u + 11. Let w = -3\/32 - -103\/416. Which is smaller: u or w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -5*w - 4 - 21, -4*i - 2*w = 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*d + 115 - 70 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -16*f - 3. What are the prime factors of t(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -110182343 or -110182339?\nAnswer: -110182339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 0*d - l + 5 = 0, -11 = 5*d - 3*l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 8*j - 1. Suppose -3*k = -15, 3*k - 33 = -l - 0*l. Let p(z) = z - 9. Let t be p(l). Determine i(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*n**2 - 3*n + 3*n + 110*n**2 - 2.\nAnswer: 86*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10\/106831 + -12940951\/153836640. Find the common denominator of 17\/1600 and k.\nAnswer: 14400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kedkpdkkekdep. What is prob of picking 2 p?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 8. Let z be j(-13). Suppose 0*k + 6 = 2*k - 4*a, -5*a + 31 = 3*k. Calculate the highest common divisor of z and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 5\/9, 0.4, 1, -2 in descending order.\nAnswer: 1, 5\/9, 0.4, -2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.616 (b) -12 (c) -565 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -48*j + 43. What is y(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 9*l**2 - 12*l - 47. Give t(-3).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39303*k**3 + 39022*k**3 - 78324*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82777 + 82781. Let k = -27 - -2. Sort k, q, 2 in increasing order.\nAnswer: k, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + m = 2709, 0*m = -4*x + 4*m + 2148. Suppose 221 = 2*f - x. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.30538 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 15858.34.\nAnswer: -4757.502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 12*z**2 - 26*z - 19. Let d = 545 - 531. Give u(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 542 divide 591042328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4465444\/15 or -297695?\nAnswer: -4465444\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 129358558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3874*x - 58346 - 79764 - 4023 - 191031 = 0 for x.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -137.1 and 0.272531.\nAnswer: -136.827469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 12, d: 3, i: 2}. Give prob of picking 1 q and 2 d.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 154*r**2. Let b(g) = -17254*g**2. Give a(b(w)).\nAnswer: 45845879464*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/((-1518)\/(-1265)*5\/3)?\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 14. Let t be s(4). Suppose t*k - z - 51 = 3*k, -90 = 2*k - 2*z. Let f = -33 - k. Calculate the greatest common divisor of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2499 + -2503. What is the closest to -1 in -1\/2, -1\/5, 4\/5, a?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**5\/11 - 222*t**4\/11 - 9154*t**3\/11 + 222*t**2\/11 + 832*t = 0. Calculate t.\nAnswer: -32, -1, 0, 1, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -83483245 times -0.2?\nAnswer: 16696649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -3)*(72 + 1). Let l = m - -13. Let i = -38 - l. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 874*z - 153731. Calculate g(176).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1215 + 3?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 21*g + 21. Let z(b) = 1 - b - 2*b + 6*b - 4*b. Let x(j) = -w(j) + 21*z(j). What are the prime factors of x(-1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 66.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/1126 and 87\/22.\nAnswer: 12386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + p + 0 = -12, 0 = 2*u + 2*p. Let w = 0.5 - 0.4. What is the nearest to w in 4\/9, 4, u?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 8273*a - 1 - 8241*a.\nAnswer: 32*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 7*k**2 + 4*k - 7. Suppose 5*s = -2*x - 27, 4*s + 4 = -8. Let b be r(x). What is the units digit of b\/(15\/54)*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + (2219 - -5 - 5))*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.8? (a) -4\/7 (b) -23 (c) -0.4 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(-2\/29)\/(q**(-1\/4)*q*(q**4*q)\/q))\/((q\/(q**(2\/7)\/q*q)*q)**(3\/16))**(-12\/5) assuming q is positive.\nAnswer: q**(-557\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -705 by 5.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgdgddlddldd. What is prob of sequence lg?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**3\/3 + 10. Let t(j) = 18*j. What is m(t(q))?\nAnswer: -324*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 531*v**2 - 100*v**2 + 564*v**2.\nAnswer: 995*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 9 - 33 = 0. Suppose 0*x = 3*x - d. What is the third derivative of -3*n**2 - 2*n**2 + 3*n**2 + x*n**4 wrt n?\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -78*d**2. Let i(p) = p. Determine i(u(w)).\nAnswer: -78*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 2:53 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**(6\/13))\/((b\/b**(-21))\/b*b))**(-7))**(3\/34))**(2\/115) assuming b is positive.\nAnswer: b**(5859\/25415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0 - (-4 + (3 - 1))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 3.32489.\nAnswer: 6.32489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/17 in 2\/3, 1.1, 23, 1\/7, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -4 - (9 + -2 + (-138 - -154)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.3 + -12.4. Suppose -w + 5 = 2*q, -3*w = -3*q + 31 - 1. Is w <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -17.71. Let f = n + -0.09. Let t = f + -0.3. Which is the nearest to 1\/4? (a) -2\/3 (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30643164 by -1699.\nAnswer: 18036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -647.9 - -648. What is the closest to -2 in l, -0.06, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*v**2 - 42*v**2 - 5*v**3 - 46*v**2 + 10*v = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 13*n - 34*n - n + 23*n. Let u(x) = -13*x**2 + 11*x. Give u(w(g)).\nAnswer: -13*g**2 + 11*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -103873*i**4 + 230*i**2 + 64*i wrt i?\nAnswer: -2492952*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 171\/12*(-2)\/9 + 3. Let f be 2\/8 - 1\/4. Suppose -5*g = -2*k - 2*k + 10, 2*k - 2*g - 4 = f. What is the second biggest value in h, 1\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92*f**2 - 229*f + 229*f)*(-8 + 3 - 3).\nAnswer: -736*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 225599304 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 26708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-6)\/210*5\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*q = -12 - 25, -b - 4*q = -16. What is the common denominator of ((-50)\/(-44))\/(7\/(-14)) and (-97)\/b*(-4)\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -451, -1531, -3237, -5569, -8527, -12111, -16321?\nAnswer: -21157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 45 = -m. Let g be (-1 - -17)*m\/20. What is the greatest common divisor of g and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 262632989?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-286)\/6*13542\/(-293410).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.59520949351 take away -10?\nAnswer: -12.59520949351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/5)\/(a\/(a**(3\/8)\/a)))\/(a**(2\/7)*a*a)**30*((a\/a**6*a)\/(a**(-2\/3)*a*a))**(1\/4) assuming a is positive.\nAnswer: a**(-59917\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 47 + -57 - (0 + -13)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**6\/20 + n**5\/60 + n**4\/24 + 126*n**2. Calculate i(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**3\/3 - 2*h**2 - 2*h - 5. Let z(o) = o - 3. Let i be z(7). Suppose i*y = -5 - 7. Determine g(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6251 is divided by 60?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67764073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1804 + 2*n + 1217 - 431 - 4435 to the form v + p*n and give v.\nAnswer: -5453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -6 (b) 0.4 (c) 1\/3 (d) -115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 31 = -8. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 713341.\nAnswer: 31, 23011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 301*l + 1644. Calculate i(-6).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -8*r - 3. Calculate l(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 0 + 1\/12*j**4 + 0*j - 1\/60*j**5 - 4*j**2 + 0*j**3. Let q be i(3). Which is greater: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47251 (base 12) to base 3.\nAnswer: 11211211221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + (-5*sqrt(684)*-1 + (sqrt(2736) - 6*(sqrt(2736) + -1)))**2.\nAnswer: -360*sqrt(19) + 17141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/7))**46)**(-14\/5)*((q**1)**(1\/27))**(20\/7) assuming q is positive.\nAnswer: q**(34876\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 1029952?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3201*i**3 + 5752*i wrt i.\nAnswer: 19206*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35634 and 678?\nAnswer: 4026642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 648 = 400922*i - 400940*i for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 - 1.6. Let d = m + 1.8. What is the closest to d in 3, 1\/5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -2, 7\/2, 3387 in descending order.\nAnswer: 3387, 7\/2, -5\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*x**3 - 7949372*x + 7949372*x.\nAnswer: -124*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287*i**2 - 281*i**2 - 228*i**2 + 796*i**2 - i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 10*n**3 + 12*n - 2. Let c(u) = -u. Let l = -2362 - -2363. What is l*r(m) + 12*c(m)?\nAnswer: 10*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d + 15. Let r be q(-16). Let j = r + 90. Which is greater: 5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 1:24 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57751906 or 57751902?\nAnswer: 57751902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 13*p**3 - 93*p**2 + 14*p - 22. Let d(z) = -5*z**3 + 34*z**2 - 5*z + 8. Determine -8*d(c) - 3*n(c).\nAnswer: c**3 + 7*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99379\/184 or -541?\nAnswer: -541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -o**2 + 18. Let c(x) = -18*x - 4. Let b(l) = -343*l - 77. Let d(h) = -4*b(h) + 77*c(h). Give p(d(s)).\nAnswer: 28*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-407)\/(-22) - 1\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4044953513 and -217?\nAnswer: 4044953296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824160111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o + 88. Let x be a(9). Calculate the highest common divisor of 153 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -176*n - 185*n + 363*n. Let i(s) = 2*s**2 + 94*s. Give p(i(j)).\nAnswer: 4*j**2 + 188*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759418 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -296 + 312. Solve 3*c + 3*z = 0, c - 2*z + v = z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/127 and -77\/6.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*b*g**2 - 6*b*g - 360*b - 76*g**2 + 111 with respect to g.\nAnswer: -14*b*g - 6*b - 152*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1484.167, -0.3, -13\/3 in descending order.\nAnswer: 1484.167, -0.3, -13\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 smaller than 184\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 10.4. Which is the nearest to -19? (a) v (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-42 - 49 + 98 - l)*(-2*l + 0*l + 0*l) to the form y + a*l + f*l**2 and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(125))*-5)**2.\nAnswer: -250*sqrt(5) + 3150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 2*v + 14, 932680*v + 3*g = 932675*v - 48 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 93*l + 32. Let v be a(4). Let p = -401 + v. Factor -2\/5*w + 2\/5*w**p + 2\/5 - 2\/5*w**2.\nAnswer: 2*(w - 1)**2*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c + 107. Let k be u(-28). Solve 71 = -5*d + k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*g - 57*g + 2 = 3*b, -4*g = 6*b + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 28*n + 48. What is d(22)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*o = 217*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 3*t - 2 + 5*t)*(-2 - 3 - 1)*(t - 4*t + 2*t).\nAnswer: 30*t**2 - 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**3 + u**2. Let s be v(-1). Suppose -2*h - 12 = -5*h. Sort -5, h, s in decreasing order.\nAnswer: h, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t**2 + 11*t + 64. What is g(-5)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*x - 1. Let g = -2 - x. Let z(m) = -12*m + m**2 - 4*m + m**3 - 2 + 11*m. Give z(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**4\/5 - 868*q**3\/5 + 95898*q**2\/5 - 74648*q + 73960 = 0.\nAnswer: 2, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*f + 148748 = -42372, 3*m = 3*f - 114645. What is m rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*j**2 + 39*j**2 + 6 + 24*j**2 - 2*j)*(-4*j + j + 4*j).\nAnswer: -28*j**3 - 2*j**2 + 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.012 and 92.5629.\nAnswer: 1.1107548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6*u**2 + 2*u**2 - 7*u**2 + 0*u**2. Let g(z) = -42*z. Calculate l(g(d)).\nAnswer: 1764*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 6 - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.2 - -21. Let t = h + -1.7. Let o = t - -1.900036. Round o to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p\/((p*p**(1\/9)\/p)\/p*p))*(p\/((p\/(p\/(p*p**7)))\/p))\/p*((p*p**(-1\/4)\/p*p)\/p)**16)\/((p\/p**2)\/p*p**(4\/7)*p**3\/(p**(-7)\/p)) assuming p is positive.\nAnswer: p**(-1415\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40.191 - -40.190888198. Round j to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/9)*b**(1\/6)*(b**(-1\/3))**(1\/16))\/(b**(-3\/8)*b*b*b**(1\/8))**(-41) assuming b is positive.\nAnswer: b**(10465\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -66, -108, -188, -318, -510, -776?\nAnswer: -1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 359626889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 1\/300*k**6 - 2*k**2 - 1\/12*k**4 + 0 + 0*k + 1\/5*k**3 + 1\/150*k**5. What is n in t(n) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12483 is divided by 1549.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 4\/3*c**3 + 0*c - 3\/4*c**4 + 0 - 1\/60*c**6 + 18*c**2 + 1\/5*c**5. Suppose l(o) = 0. Calculate o.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 5*n**4\/3 + n**3\/6 + 7*n. Let a be z(-2). What is the common denominator of ((-10)\/12)\/(16\/a) and -113\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 5*p**2 + 5*p - 5. Give z(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 22*s**7\/21 - 14*s**4\/3 + s - 11. What is the third derivative of w(b) wrt b?\nAnswer: 2640*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n - 92. Let y(u) = u**2 + 7*u + 2. Let q be y(-7). Suppose -6*o + 2*o + 40 = 5*a, -o + n = -q*a. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -61?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -169938418.71793759976442945 + -0.18206313023557055. Let h = -169938355.9 - g. Let i = 63 - h. What is i rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 717 + -374. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*a + 72 = -63*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1113 divided by 403\nAnswer: 1113\/403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90\/101287 or 1?\nAnswer: 90\/101287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2)*14 - 168\/21. Let s be 6\/10*(-15)\/(-24). Which is smaller: w or s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4507*w + 2680*w + 6457*w + 7096*w.\nAnswer: 11726*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 4*z + 4*y = 32, 12 = -3*z + 4*y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + h - 1. What are the prime factors of k(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1\/2 (b) 5 (c) 1\/3 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 759646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -42558, -42554, -42548, -42540?\n\"Answer: f**2 + f - 42560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9 - (0 + -4)) + 5. Suppose 2 + p = -2*t. Let f = 40\/7 - 454\/77. Is f equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sti when three letters picked without replacement from itiisttittisiiiiit.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -448 (base 16) to base 9.\nAnswer: -1447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5 + 6485746*r**4 - 5258102918438*r**3 - 15774347669810*r**2 - 15774360641312*r - 5258122375688 = 0. Calculate r.\nAnswer: -1, 1621438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**2 + 5*v - 59. Let z(s) = 2*s**2 - 6*s + 60. Suppose 3*x + 3*p = -27, -3 = -6*x + 8*x - p. Let b(h) = x*t(h) - 3*z(h). Differentiate b(n) wrt n.\nAnswer: 12*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*5*4*sqrt(84)\/(sqrt(48) - sqrt(12)))**2*3 + -1.\nAnswer: -720*sqrt(7) + 75611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 255960 and 358344.\nAnswer: 1791720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 338. Let f(z) = -3*z**2. Calculate f(y(w)).\nAnswer: -3*w**4 + 2028*w**2 - 342732","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1615, 0.3, 4, 3, -0.5?\nAnswer: 1615","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 864107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15448.\nAnswer: 2, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10367738 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 2*z - 2*o, -72242*z + 91 = -72245*z - 5*o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3243870?\nAnswer: 2, 3, 5, 7, 19, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 70?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 8:04 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s, -2 = -2*a - 2*s + 10. Suppose -30 = i - a*i. Let o(p) = -p**3 + 9*p**2 - 10*p + 13. Calculate the remainder when o(i) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/48*-3 + 1253\/716 + (-1 - -9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (0 + 12)*(-20)\/(-272). Put -4, 3\/2, 0, i in ascending order.\nAnswer: -4, 0, i, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6261 greater than or equal to 6209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1129 = q - 107. List the prime factors of q.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*c - 243 + 243)*(2 - 6 + 3)*(-11 + 1 + 2*c + 17).\nAnswer: -52*c**2 - 182*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.29396 to 3 dps.\nAnswer: 0.294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4249, 8487, 12715, 16939, 21165?\nAnswer: 25399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02662091 to five dps.\nAnswer: 0.02662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -0.09 (c) 2 (d) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 391 and 187?\nAnswer: 4301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (21\/28)\/(3\/8). Calculate the highest common factor of 230 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -228940, -228940, -228962, -229012, -229096, -229220, -229390?\n\"Answer: -p**3 - 5*p**2 + 22*p - 228956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -41, -7 in decreasing order.\nAnswer: -1, -7, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 2. Suppose -1 = -j*l + 7. Suppose 4*x = l*w + 20, 0 = 3*x - x + 4*w + 10. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -7115?\nAnswer: -1\/7115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 10*l = -6. Solve 2*z - z - l = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {y: 2, r: 7}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*g + 34 = 89, g + 118 = 5*p. Let k = p + -26. Calculate the remainder when k\/4 - 294\/(-8) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2434177 to the power of 1\/2, to the nearest integer?\nAnswer: 1560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 116201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11*(-44)\/(-3630))\/(6\/5*1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*p - 1. Let j be 32\/216*(-3)\/2. Which is greater: j or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t**3 - 9*t**2 + 160*t + 3. Let r(n) = -14*n**3 + 17*n**2 - 320*n - 5. Let s(j) = 5*q(j) + 3*r(j). Find the second derivative of s(a) wrt a.\nAnswer: -42*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 786*q + 3. Let r(d) = 3*d - 2. Let x(t) = 6*r(t) + 3*w(t). Suppose -2*z + 0*z + 4 = 0. Is x(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/5)\/(o**0*o))**(-31)*o**(-2\/11)*o**(2\/7)*o**(-3)*o**(5\/4) assuming o is positive.\nAnswer: o**(35657\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 3 + 3\/(-3). Suppose -2*t + 4*m = -16, -2*t + 4*m + 18 = -t. Let d = t - -6. Solve 0 = -d*y - l - 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -m - 3, 5*m - 3*z - 5 = 3*m. What is the highest common factor of m and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g + 24. Let s be n(-12). Let y(i) = 2*i**2 + 2*i - 24. Let d be y(0). Is s greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2639, -1893, 0.35?\nAnswer: 0.2639","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -8*m + 12. What is the closest to -3 in 4, m, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**3 - 4*x**2 + 20711804*x**4 - 20711806*x**4 + 6*x**2 + 24*x - 1 to u*x**3 + q*x + c*x**4 + m*x**2 + p and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 42*j = -46*j + 40, -4*u - 10*j = -30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wssw when four letters picked without replacement from wssssswss?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (313 + 318 - 253)*((4 + 2 - 4)*(-3 + 3 + 2*x) + 4*x - 4*x + 3*x).\nAnswer: 2646*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4178, 4180, 4182, 4184, 4186?\n\"Answer: 2*i + 4176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2263 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 5) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + j + 1. Let v be b(-2). Let m(a) = 3*a + 2. Let o be m(4). Suppose i - v = o. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - -3) + 38\/16. Let i = -1582 + 1575. What is the third biggest value in i, 0.3, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 4*l. Suppose -9 - 31 = -l*b. Suppose u - b = -3*h + 2*h, 5*u + 44 = h. Calculate the greatest common factor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268460 to the power of 1\/2, to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/(sqrt(18)\/sqrt(2) + sqrt(9)))\/(sqrt(32)\/(2*sqrt(4))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 778509?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5912\/2375 greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**4\/5 - 4*w**3\/5 + 91*w**2\/5 + 98*w = 0.\nAnswer: -7, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-45))\/(9\/(-1080)*-12)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 16, 0.176, -17, -5, 2\/3?\nAnswer: 0.176","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -4. Let y = 91 - b. Let q = 116 - y. Calculate the remainder when q is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -463*h**4 - 472 with respect to h.\nAnswer: -1852*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11652600 divided by 2.\nAnswer: -5826300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 + 124. Let a be 1\/((-2)\/(-20) + 0). Let k = -1 + a. What is the highest common factor of k and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r - 418 = -565. Let k(g) = 2*g**2 + 7*g + 1. Let u(l) = -2*l**2 - 7*l - 1. Calculate r*k(i) - 6*u(i).\nAnswer: -2*i**2 - 7*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*t - 6. Suppose -7*c + t*c = -100. Find the common denominator of (-2)\/5 - (-67)\/c and 23\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 2*u + 6 = 32, u - 3 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1040?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1878 - -1621.2. Let i = d - -256.800002717. Round i to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44774\/9 + 4968. Let w be (-5)\/(-20) + (-2414)\/(-72). Let d = w - 496\/9. What is the common denominator of z and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-14 - (-10 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 689290 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -148 + 163. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 587590 by 5.\nAnswer: 117518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(484) + sqrt(484))\/sqrt(11))\/(sqrt(196) + 1*sqrt(196)).\nAnswer: sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4 + 2*h + 0*h**2 + 6*h - 12 - h**2. Is q(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.0261734 (b) 4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 20.73, 50 in descending order.\nAnswer: 50, 20.73, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -647.45 and -1037?\nAnswer: 671405.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**31)\/q)\/q*q*(q*q**1)\/q*q*q)**43 assuming q is positive.\nAnswer: q**(-1204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313850 is divided by 62711?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -883156390 to the nearest 100000.\nAnswer: -883200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1531*r**2 + 11*r + 10. Let j be p(-1). Suppose -9*t - t + j = 0. What is the highest common factor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (-1*sqrt(15)\/sqrt(3))**2 + ((2 + sqrt(245) + sqrt(5))**2 - sqrt(5)).\nAnswer: 32*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 142037385 and 11580?\nAnswer: 568149540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 93. Suppose 2*o + u - 4 = 3*j, 0 = o + 2. Solve -a + 8 = 2*f, 6*f - f - j = -2*a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1128 rounded to 1 dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*b*q**4 + 2*b*q**2*r**3 - 3*b*q**2 - 283*b*r**3 + 3*b*r wrt q?\nAnswer: 16*b*q**3 + 4*b*q*r**3 - 6*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13905 + -13902. Solve 4*r = 2*g - 20, r + w = 5*g - 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/143 and 79\/117.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -4754 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, o: 4, p: 1, h: 1, e: 6}. Give prob of sequence oeop.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -1*(6 - 5). Suppose 0*a + 10*a = l. Suppose 2*k - 221 - 125 = -2*c, a = 5*c + k - 853. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 11 - -9) + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*i - 13526 + 580, 3*i - 8599 = -2*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152717 equal to 152737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 10:14 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, t: 5, j: 3}. Give prob of picking 1 j, 1 b, and 1 t.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 7:05 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -590, -43\/606.\nAnswer: -590, -43\/606, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3)*(-6 + 12). Suppose 0 = 51*g - 50*g - n. Determine a, given that g*a - 5*a**3 + 4*a**2 - 12 + 6*a + 3*a**3 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216103343.\nAnswer: 216103343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25 + 331024?\nAnswer: 331051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4060)\/3248 + (-353)\/(-276)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 - 242326*q**2 - 14680472569*q.\nAnswer: -q*(q + 121163)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17324*k**2*p**2 - k*p**2 - 2*k*p + 80057*p**2 with respect to k.\nAnswer: 34648*k*p**2 - p**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*h - 28*h = -5896. Is (22\/h)\/((-2)\/56552) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33080124 and 168.\nAnswer: 66160248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383939 is divided by 127851?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2687 = -o + 961, -2*o + 4*k = -7298. List the prime factors of o.\nAnswer: 3, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21325 - 21319. Let s(r) = -5*r + 24. Determine s(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2268\/24)\/(-63))\/(3*27\/(-12))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2998378865?\nAnswer: 5, 47, 1381, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(12\/9))\/((-33)\/4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.054 or -20.2?\nAnswer: -20.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50992.\nAnswer: 2, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -494, -393, -290, -185, -78?\n\"Answer: c**2 + 98*c - 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2680 (base 12) in base 6?\nAnswer: 32240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1512996812*d - 1512996812*d + 9*d**3.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17520 (base 9) to base 12\nAnswer: -6bb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3815 and -1.987.\nAnswer: -7580.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*w + 39*w - 3492 = 0. What is the highest common divisor of w and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.5 + -4. Let j = 15938 - 15932. What is the nearest to 2 in j, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4626927749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1658055?\nAnswer: 3, 5, 7, 15791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 2*l - 6. Let c be s(4). Let j(t) = -t**3 + 7*t**2 + 3*t - 10. Let r be j(7). Suppose -2 = -m, b - 25 = c*m + r. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 times 0.2?\nAnswer: -28.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 4*k + 223 - 811 = -15*k for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65 - 80 - (3 + 1)) + -38.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20.2? (a) 1\/20 (b) 7 (c) -283\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5672, -11337, -17002, -22667?\n\"Answer: -5665*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000420301 rounded to 7 dps?\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 0 + -3)\/1. Let y = 9 - 5. Let b be y\/(-3)*n\/4. Solve o - 1 = d, -b*o - 2*d = -o + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/99 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 0.2, -0.3 in descending order.\nAnswer: 36, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*i, -m + 4*i = -6*m - 2. Let y(o) = o - 7 + 0*o - 3*o**3 - 2*o**2 - 2*o**3 + 0 + 5. Calculate y(m).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103 + -97. Calculate the remainder when 162 is divided by (-4)\/p*(-1170)\/52.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/31? (a) 0.1 (b) -1\/6 (c) -2500 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 2*j + 898. Let l be a(29). Suppose -2*g - 2*g = 12. Let o(f) = f - 1. Let z be o(g). What is the closest to 0.2 in l, -0.2, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 1458259 + 341245 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2719?\nAnswer: 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48119487246 + -55.\nAnswer: 48119487191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37247535 divided by 45.\nAnswer: 827723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*d + 5*c + 262, 0*d - 2*d + 17 = 13*c - 10*c for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 376, 844, 1314, 1786, 2260, 2736, 3214?\nAnswer: 3694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + ((sqrt(76) - (2*sqrt(76) + sqrt(76)) - sqrt(76)) + -4 - (6*sqrt(76)*2 - sqrt(76)))**2).\nAnswer: 672*sqrt(19) + 44721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123679476 - 0.0194.\nAnswer: -123679476.0194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82*f**4*w**3 - 3*f**4*w + 432*f**2*w**3 + 2*f**2*w - f**2 wrt f?\nAnswer: -1968*f*w**3 - 72*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3361500.\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3385 is divided by 835?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 10 + 2. Let n be f\/(-20) + (-39)\/(-15). Suppose 67 = n*l - 43. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2354713647396 and 0.1.\nAnswer: 2354713647396.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in centuries?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -209 + 245. Calculate the greatest common divisor of 204 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15, -7, 7, 27?\n\"Answer: 3*x**2 - x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8134529 to the power of 1\/2, to the nearest integer?\nAnswer: 2852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 + 388*x + 40 - 103*x - 129 + 34 to the form w*x + t and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a day?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -599.93177005 and -4.\nAnswer: -603.93177005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71056, 142112, 213168?\nAnswer: 284224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 725094416 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**3 + 3*k**2. Let l(f) be the third derivative of 0*f**3 + 0 + 20*f**2 + 0*f**4 + 11\/60*f**5 + 2*f + 1\/8*f**6. Give 22*h(n) - 6*l(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212 (base 3) to base 14.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-300)\/650 - 255656\/(-52).\nAnswer: 2, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -569 + 124. Let s = w + 52. What are the prime factors of s?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4645.2833 to the nearest 100.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 12:38 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by 5.\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -10 - 15\/(105\/(-28))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14178 = -41*p - 354*p - 17151 - 20332 for p.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.05, 5, 470, -0.9, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (41 - 41) + -79*554\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13281 is divided by 4302.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 1\/105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**5 - 12*g**3 - 8*g**2 = 0. What is g?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1484743?\nAnswer: 13, 181, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**2 - 9*w**2 - 9*w**2 + 13*w**2 - 4*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7036, 10551, 14066, 17581, 21096?\n\"Answer: 3515*x + 3521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6753.06604 + -6753. What is q rounded to three decimal places?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*27\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 102\/40834873?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -389, -782, -1175?\nAnswer: -1568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0 (b) -26 (c) 34160\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**2 + 2665836*g - 2665839 = 0. What is g?\nAnswer: -888613, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -860 divided by 10\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 9*g + 10 = 0. Solve g*d = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 118*v + 23 = 113*v, 5 = -b - v. Sort b, -19, -47 in descending order.\nAnswer: b, -19, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1640689 - -0.164. Round p to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 25*o**2 + o + 37. Let h = 125 - 150. Let q be g(h). Solve 4*j + 3*f + 1 = -q, -4*j + f = 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1335 = 3371*d - 3460*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7641 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -0.58, -5, -0.6, -1, -8.\nAnswer: -8, -5, -1, -0.6, -0.58, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 - -71. Solve -w*a + 4 = 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6846 - 6788. Let i = -1.33 - -63.33. Let u = i - j. Which is the nearest to 0.18? (a) 2 (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -623101, -624285, -625469, -626653, -627837, -629021?\n\"Answer: -1184*o - 621917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 12, -2\/345223, -1\/22?\nAnswer: -2\/345223","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*b - 40822 = 196250. Let m = 2697 + b. Solve -2\/5*k + 0 + 6\/5*k**2 - 4\/5*k**m = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4218448 is divided by 148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 37, 5, 0, 1, 240, 2 in decreasing order.\nAnswer: 240, 37, 23, 5, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9447.\nAnswer: 3, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 10. Let w = -21 - j. Is w - 5\/((-15)\/501) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by -21\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7\/258 - -6\/43. Let z be 6\/21 - 18\/14. Do z and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35.2 + -36.2. Let w(h) = -2*h - 2. Let y be w(-3). What is the biggest value in q, y, 2, -0.8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 767\/42 - 389\/21. What is the common denominator of z and 89\/462?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 1\/6*i**3 - 1\/210*i**7 + 0*i**5 - 29\/24*i**4 + 43*i**2 + 0 + 0*i - 41\/120*i**6. Find the second derivative of y(j) wrt j.\nAnswer: -12*j**2 - 246*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -245, -65, -4, -3, -5, -1.\nAnswer: -245, -65, -17, -5, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 611 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + -42 + 17 - (1 + 25)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 117759496703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1152 (base 6) to base 5\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 - p. Let n(o) = 7*o**3 + o**2 - 3*o - 7. Calculate 2*n(c) - 6*w(c).\nAnswer: 2*c**3 + 2*c**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 3*w - 4*b + 4, 5 = 5*b. Let d be (1 - 2)\/(3\/(-402) - w). Find the third derivative of -19*i**2 + 23*i**6 + 134*i**4 - d*i**4 wrt i.\nAnswer: 2760*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 + 121 + 17*d**3 + 305*d**3.\nAnswer: 322*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31298 - 17438. List the prime factors of l.\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33100 and 9665200?\nAnswer: 9665200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 975808 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76.277554405 - -0.277571005. Let q = 76 + p. Round q to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 - -61. What is the third biggest value in 0.5, p, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 756504 and 63?\nAnswer: 756504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11 - -6 - (0 + -3). Let q = 20\/9 - 35\/9. Is f at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1064 + 0*k + k - 1078 + (4*k + 2*k + 0*k)*(2 - 3 - 1).\nAnswer: -11*k - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -6876598\/29 at most -237125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/6)\/(1\/21). List the prime factors of (-1 + 0)\/(1\/y).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1250)*-3)\/(sqrt(1000) - 3*sqrt(1000) - sqrt(10)) + 5.\nAnswer: 5*sqrt(5)\/7 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (11 - 4) + -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 285 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*n - 197 + 54. Solve -2*w - 4*p - p = n, 0 = -w - 4*p - 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*g - 4 = p, -4*p - 5*g + 5 = 0. Solve -1\/2*k**5 + p*k**2 + 0*k + 0*k**3 + 0 - 1\/2*k**4 = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 27*p + 5244 = p + 2199 for p.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58263500?\nAnswer: 2, 5, 19, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, s: 2, n: 6, x: 3, a: 6}. What is prob of sequence avan?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 7*g**5\/60 - g**4\/24 + g**2. Let x be b(1). What is the first derivative of 2 - 5 + x*h**3 - 4 wrt h?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 - 60. Let g = 8 + 7. Let h = a - g. Solve -3*y + h + 3 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - -2) + (-726)\/(-101 + 35) + 1788\/(-74)\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + (-2 - -5) - ((21 - 43) + 19). Sort 266, 0, -41, k in decreasing order.\nAnswer: 266, k, 0, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352762162?\nAnswer: 2, 176381081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 1 = -6*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1088835\/56 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1315, 1327, 1347, 1375, 1411?\n\"Answer: 4*j**2 + 1311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, y: 1, r: 1, h: 1, t: 6, v: 5}. Give prob of picking 1 e, 1 r, and 1 t.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 0*c**2 + 0 + 87\/2*c**3 + 48*c - 35\/2*c**4. Find the second derivative of s(m) wrt m.\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*o - 64495 = -15065, 4*v = -3*o + 98860. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s. Let w(h) be the second derivative of h**4\/4 + 28*h. Determine w(t(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*20\/16*(-216)\/45.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43 by 419296.\nAnswer: 43\/419296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001410076152 to seven dps.\nAnswer: -0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 85252 greater than 85252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/((a*(a*a\/(a**(2\/3)*a))\/a)\/a))\/a*a)\/(a*a\/a**(-1\/3)))\/((a\/((a\/(a**(-3\/7)*a)*a)\/a))\/(a*a**(-5\/3)*a)) assuming a is positive.\nAnswer: a**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 7:50 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4388 + 7411. List the prime factors of m.\nAnswer: 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 824364 to the power of 1\/2, to the nearest integer?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v - 6. Let x(b) = 9*b + 12. Give o(x(f)).\nAnswer: -18*f - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwzzwzzzww. What is prob of picking 2 w and 2 z?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6859\/272 + -349\/17. Calculate the common denominator of p and -6 + 10 + 231\/112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w**4 - w**4 - 3*w**4 + 0*w + 0*w - w**4 + (-w + 0*w + 3*w)*(-2*w**3 - w**3 + 2*w**3) - 2*w**4 + 4*w**4 - 4*w**4 + 2*w**4 + w**4 - 7*w**4.\nAnswer: -7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-85) + 1820\/442. Let t(o) = 3 - 1 + o**2 - 4*o - o. What is t(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s + 5. Let z be g(5). Let f = -38 + 43. What is the highest common divisor of f and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2718 = -10*f - 2688. Let v(t) = t**2 - 2*t + 3. Let o be v(3). Suppose -117 = -o*h + f. Calculate the least common multiple of 6 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -2 - -40) + -19\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 19 + 2092*h - 12112*h.\nAnswer: -10020*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4))\/(12*14\/1344). Let m(j) be the second derivative of 0 - 3\/20*j**5 + 0*j**3 - 1\/4*j**d + 7*j + 0*j**2. Factor m(b).\nAnswer: -3*b**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -155*j - 2. Let r be h(-2). Let u = r + -4622\/15. Let q = -0.0517 - -0.2517. What is the third biggest value in u, -5, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 301 + 87. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 16*n**2 - 13*n - 27. Let x be s(15). Which is the smallest value? (a) -2 (b) 0.12 (c) x (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, p: 3, a: 1, v: 1, c: 3}. What is prob of picking 2 f and 1 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + 1 - (4 - -1)) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4\/8*2 - (-10 - 25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4120*j**2 + 8235*j**2 - 4114*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*z = 147, 5*b - 2*z + 4*z = -129. Is (90\/b)\/(2\/(-237)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 260 - 231. Calculate the remainder when p is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13992264?\nAnswer: 2, 3, 11, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**2\/4 - 2641*m\/4 + 1321\/2 = 0?\nAnswer: -2642, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1583, 3159, 4729, 6293?\n\"Answer: -3*r**2 + 1585*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -43*u**3 - 18*u**2 - 2*u - 2. Let h(a) = 171*a**3 + 74*a**2 + 9*a + 9. Let g(k) = -2*h(k) - 9*y(k). What is the third derivative of g(i) wrt i?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3)*(-7 - 2*w**2 + 10 - 11 + 2*w).\nAnswer: -6*w**2 + 6*w - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137\/2376 - -5\/108. Which is the nearest to -2? (a) f (b) 4 (c) 3 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2412 (base 7) to base 8\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 58918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -252 divided by -63\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + d**2 + 0)*(2 + 0 - 4) + 3*d + d**2 - 3*d - 2 - 2*d**2 + 2 to q*d + b*d**2 + f and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5191*a = 24178 + 178271 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w - 6. Let k(y) = -4*y - 7. Let a(o) = -7 + 3*o - 12*o + 8*o. Let u be a(-4). Let t(p) = u*k(p) + 4*q(p). Differentiate t(c) wrt c.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -39. Suppose 708 = j*l - 952. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (110\/11)\/((-2)\/(-4)). Let q = 6 + c. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4186 (b) -3 (c) 2 (d) 1\/11 (e) -0.3 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 7\/3*w**4 + 0*w - 84*w**2 + 0 - 17\/3*w**3. Differentiate u(z) with respect to z.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) 0.1 (b) -1 (c) 2 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7362, -29439, -66242, -117777, -184050, -265067?\n\"Answer: -n**3 - 7357*n**2 + n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 0.28?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -32390 > -84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11669 (base 11) to base 9\nAnswer: -25006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 2:32 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 28 = 4*s, 3*s + 17 = 2*z - 3*z. Let a be 2\/(-4)*36\/(-1). Let k = s + a. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 + (-14 - -103 - 144)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.87 - 0.13. Let h = p + 6.000088. What is h rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 3:12 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -585*x**2 - 6441*x - 66 = 0.\nAnswer: -11, -2\/195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -344412*l**2 + 229095 wrt l.\nAnswer: -688824*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 + 20*a**2 - 163*a - 3. Is v(8) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57213, -2\/9, -5, 3, -2\/11.\nAnswer: -57213, -5, -2\/9, -2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) + 2 + 2*sqrt(76) + 3 - (-6*sqrt(1539) + (sqrt(19) + 5)**2 + -4).\nAnswer: -35 + 51*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3078264 - 1?\nAnswer: -3078265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2264683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 7 - 2)*(61 - 18 + 40)*(4*i - i - 4*i + (2*i - i + 0*i)*(-3 - 1 + 2) + 0 - i + 0 + 0 + 0 - 3*i + (0*i - i - i)*(-1 - 2 + 4)).\nAnswer: -2988*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -0.2, -15, 27.\nAnswer: -15, -0.2, 3\/2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3362 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -453, -454, -455?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -316 (base 9) to base 12.\nAnswer: -196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkimb. What is prob of picking 2 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*q**2 - 53*q**2 + 102*q**2 to the form o + n*q + d*q**2 and give d.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1233.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five quarters of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 8:44 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1509*q**3 + 156*q**3 + 1031*q**3.\nAnswer: 2696*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(0 - 3)*-11. Suppose 3*j + 2*j = 3*y + 87, j = 3*y + 15. Let n = b + j. Solve -2*a - 3*t = -1, -2*a - 2*t + 25 = -n*t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2*(-1)\/2)\/(-1). Suppose -15 = 3*l + 2*l, 0 = -3*a - 3*l. Suppose -4*o = -o. Solve -a*c - h + 7 = o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, a: 1, c: 4}. Give prob of picking 2 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5\/11 - 8*h**4\/11 - 4*h**3\/11 + 8*h**2\/11 + 6*h\/11 = 0. Calculate h.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16 (b) -4 (c) -3 (d) 2\/7 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 8:52 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -3, 4, -32, -4, -250, -1 in descending order.\nAnswer: 4, -1, -3, -4, -13, -32, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/2556 and -121\/37834338.\nAnswer: 227006028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7992347457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -400 + -57?\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7733447?\nAnswer: 7733447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 270*p**2 + 1366*p + 71. What is h(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171337030?\nAnswer: 2, 5, 17133703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 204810086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**2 + 4*g**2 + 912*g + 66 - 903*g. What are the prime factors of b(0)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**5\/9 - 30*s**4 - 8698*s**3\/9 + 9338*s**2\/3 - 2116*s = 0.\nAnswer: -69, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30 + 14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1583808?\nAnswer: 2, 3, 73, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 6:49 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 - -226. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(30) + 6*3*sqrt(30))*-2)\/((sqrt(144)\/sqrt(4)*-5)\/sqrt(6)).\nAnswer: -1 + 38*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -11. Let u(g) = 8*g**2 + 79*g - 10. Let n be u(-10). Let f be (-84)\/(-22) + (-2)\/(-11). Sort h, f, n.\nAnswer: n, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.7106 or 42?\nAnswer: -1.7106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -81 - -3c86?\nAnswer: 3c05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 487394 - 487395.300044. Let d = h + 1.3. What is d rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) 8 (b) -3 (c) -2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -169 + 175. Suppose 105*z = 101*z. Solve z = i*o - o + 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 21. Let h be (10\/y)\/((-1)\/(-40)). What is the highest common factor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-112)\/(-21))\/((-6)\/(-387)). Let m be -2 + (s\/1)\/2. Suppose 5*a = y + m, -4*a + 5*y = 2*y - 147. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72510 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 15*t = 65*t - 261290. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, g: 15}. Give prob of sequence xxg.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 48\/20*(-1 + 6). Find the second derivative of -2*u**2 + t + 2*u - 12 wrt u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 503534 divided by 4\nAnswer: 251767\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 134 + 16. Let v = 72 - p. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -1 + 6. Let a = -401 - -596. Suppose 0*r + a = u*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (-124)\/(-32) - -6*1\/(-48). Which is smaller: p or -307?\nAnswer: -307","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9906917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 160*y + 10600. What is the remainder when 15757 is divided by p(-66)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -352*l**2 - 166*l**2 + 14765*l**3 - 14763*l**3.\nAnswer: 2*l**3 - 518*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(187) - (sqrt(187) - (sqrt(187) + sqrt(187) + sqrt(187)*-2)))*-1 + 6*(sqrt(187) + sqrt(187)*2)))\/(-6*(1*sqrt(176) + sqrt(11))*3))**2*4.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 7 = -9, 5*n = -4*s + 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 390\/(-54) + 4\/18. Let g(d) = d**2 - 6*d - 6. What is the units digit of g(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**5\/300 + u**4\/40 - 24*u**2 + 30*u. Let n(c) be the first derivative of s(c). Factor n(z).\nAnswer: -z*(z - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 2020, -4, -2, 3.49, -3, 3 in decreasing order.\nAnswer: 2020, 3.49, 3, 3\/5, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/(-161)*9\/((-432)\/42)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 23527 (b) -0.02 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37331 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1900) + 5.\nAnswer: 5 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uayyncnm. What is prob of sequence ay?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2711608 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 4*t + t)*(2*t - 5*t + 19*t) + 6*t + 17*t**2 - 15*t**2 - 2*t.\nAnswer: 18*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 42, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3291, -5, 3, -3, 170 in decreasing order.\nAnswer: 3291, 170, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g**3 - 8*g**2 + 40*g - 74. Give i(4).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.03 and 834.\nAnswer: 834.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312800 is divided by 1955?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 277, 438, 605?\nAnswer: 778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/24)\/(r**(-3)*r)*(r**(3\/10))**36 assuming r is positive.\nAnswer: r**(1541\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35996 - -0.043.\nAnswer: 35996.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-1) - (-6 + -54 + 24). Solve s*q + 72 = -6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjjpjjsp. Give prob of picking 1 s and 1 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - s - 6 = -5*w, -5*s + 3 = 4*w. Solve -9 = -5*p - t, -5*p + 19 = -w*p + 4*t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.19 - 0.19. Let o = -111 + 319\/3. Let s = 59\/12 + o. What is the nearest to -1 in l, s, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1536.3 - -1654. Let w = 118 - a. Let r = -82\/3 - -27. What is the third smallest value in -0.2, r, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0034 times 0.3?\nAnswer: -0.00102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 + 12*o - 16. What is x(7)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n**2. Let a(r) be the third derivative of 19*r**5\/15 - r**4\/6 + 7*r**2 + 2*r + 48. Determine a(l(s)).\nAnswer: 2736*s**4 - 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2525.09 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 2*g**2 + 3*g**2)*(2*g**2 - 4*g**2 + 3*g**2) + 4*g**3 - 4*g**3 + 2*g**4 + (2*g**3 - 8*g**3 - 4*g**3)*(2*g + g - 6*g).\nAnswer: 35*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -487518 + 1148161. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/8*-3*-16. Let 11*j**2 + 0*j**4 + j**4 - c*j**2 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 125*x**2 - 1040*x - 2880.\nAnswer: -5*(x + 8)**2*(x + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.065 and -44.5?\nAnswer: -91.8925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 27*s - 60. Let u(v) = 29*v - 64. Let x(l) = -15*a(l) + 14*u(l). What is x(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -4. Let j = 2 - u. Solve -t + j - 5 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8*(3\/(-2) + 2). Let g = -5 + 5. Let t be (-285)\/114*6\/15. Put g, u, t in decreasing order.\nAnswer: u, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.06 (b) -1\/8 (c) -6 (d) 3 (e) 2 (f) 217 (g) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-70)\/((-2)\/5 + (-3)\/5) is divided by 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/38*(1 - -29 - (-77316)\/(-2653))?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6*d**3 - d**2 - 16*d + 9. Let p(h) = -h**3 - h**2. Let c(l) = a(l) + 5*p(l). Let j be c(8). What is the highest common divisor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -366286.9479826 - -366287. Let p = m + -0.052. What is p rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**3 - 4*y + 5*y - 1 + 2*y**3. Suppose -7*d + 144 = d. Suppose 3 = -15*q + d. Give g(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/14714 and 163\/1986390.\nAnswer: 1986390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-9)\/(-5)))\/((-520710)\/9997632)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21142.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16770704 (base 9) to base 15\nAnswer: -b18321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 45 + -84 - 15 - -95\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16511741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.1 less than -0.09213?\nAnswer: -14.19213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 20*o**3 - 60035*o**2 - 195310*o - 45075 = 0.\nAnswer: -3, -1\/4, 3005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/7)\/(5\/35). What is the third biggest value in 3, f, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 386730.9 nanometers?\nAnswer: 0.03867309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -34308260, -68616487, -102924714, -137232941, -171541168?\n\"Answer: -34308227*v - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2322 and 537156.\nAnswer: 1611468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 1 - (1 + -1) - (568 + -562)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 11640, -1\/3, 0 in increasing order.\nAnswer: -1\/3, 0, 4\/7, 11640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504768?\nAnswer: 2, 3, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 9 = 3*r - 13, -r = -l + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*x = 3286 + 757 - 43 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 107, -1, 0, -4, -1356 in descending order.\nAnswer: 107, 0, -1, -3, -4, -1356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r - 66. Let y(j) = -231*j**2. Determine y(c(d)).\nAnswer: -924*d**2 - 60984*d - 1006236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -46211 * 5\nAnswer: -231055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1636 + 2227. What is the remainder when m is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 933 and 452502512?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9))\/((-3)\/27).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 327178 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*n - 18*n + 1829. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4 + 6957*f**3 - 523029*f**2 + 502163*f + 1032150 = 0. Calculate f.\nAnswer: -1, 2, 75, 6881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -37. Suppose 5*v = 2*v + d. Let i = -0.9 + -0.1. Which is the nearest to i? (a) v (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 0)*(-4)\/4*-1. Let f be 181 - c*(39\/6)\/13. What is the greatest common factor of 52 and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 * 1817730\nAnswer: 19995030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1154 is divided by 196.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 136*s**2 + 0*s - 128*s**2.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 + 1.94. Let t = v - 0. Let u = 0.1 + -0.1. Which is the closest to -0.1? (a) 1\/7 (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*g + 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-10)*(-8 - 2) + (37 - (-2754)\/(-136))?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30232.53182 - -30532.5318357. Let k = n + -300. What is k rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71534 divided by -3\nAnswer: -71534\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.033, 5, -12\/167 in decreasing order.\nAnswer: 5, -0.033, -12\/167, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1004926?\nAnswer: 2, 13, 38651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3767 + -3752. Solve -16*p + 19*p = -b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 241592 and 303?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 313*x - 88. What is the thousands digit of b(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79718?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 64\/(-40)*(-15)\/6. Solve -4*h - 8 = 17*p - 14*p, -5*p - 24 = -y*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -609310*p**2 + 7095*p + 2365. Let l(x) = 1031*x**2 - 12*x - 4. What is -4*i(o) - 2365*l(o)?\nAnswer: -1075*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.9026707 * 1.\nAnswer: -14.9026707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 8:38 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 + 67. Suppose k - r + 4 = 0. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/14 (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 45 = 5*u, 5*u = 4*m - 0*m - 36. Let f(g) = -m + 1 + g + 0*g. What is f(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67590 is divided by 952?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*28\/(-12) + 23. Suppose -5*k = 5*o + 13 + 17, -k - 3*o = c. Suppose 5*h - 43 = 4*h. Which is greater: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 8 (b) 0.3 (c) -0.1 (d) 1\/10 (e) -0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*m - 7*o + 10485, 5*m - 4*o = 10449. What are the prime factors of m?\nAnswer: 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3911 - -6938. Is 83 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1609, -1, -2, -3, 5, -9, 4 in decreasing order.\nAnswer: 1609, 5, 4, -1, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 - 42851*v + 42850*v - 1 - 4 as r + g*v**2 + s*v + o*v**3 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.027 * 6\nAnswer: -0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*x = -12*x + 45*x - 2487 - 1753 for x.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 7*q**2 - 35*q + 1. Let u be s(5). Let f be (0 - u)*(-4 + 0\/(-3)). Solve f*v - 8 + 20 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**2 + 890*q + 39605 = 0. Calculate q.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - 55. Let p(b) = 410*b + 3. Is p(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l + 12. Let a(w) = 8*w - 13. Let g(z) = 6*a(z) + 5*s(z). What is the units digit of g(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*r + 404*r = -14536 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/125)\/((-8)\/10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7505293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-352)\/(-192)*(-8)\/(-2794)?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -11. Let f = 4 - 4.06. Let t = 0.06 + f. What is the nearest to t in p, 1\/3, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(-24)*22080\/460?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-2 + (1 - 20\/(-8))). Let c = -0.14 - -0.2. What is the third biggest value in c, 2\/9, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29679627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 + -68. Suppose 7*f - 5369 + 1799 = v. Let l be 675\/f + 3\/(-2). Is 1 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((140\/(-308))\/((-36)\/22))\/(10\/2)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572789333.\nAnswer: 19, 173, 174259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44170993.\nAnswer: 1009, 43777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 5:00 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 9*k**2 + 19*k - 1. Give w(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*g + 2329 = 1430 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48718235 by -29437.\nAnswer: 1655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 140025 (base 6) in base 12?\nAnswer: 7615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*f**3 - 15*f**2 + 6*f.\nAnswer: -3*f*(5*f - 1)*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -3, -3228, -1\/1173, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185 + 572826*i - 87 + 36 - 572825*i.\nAnswer: i - 236","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.169 - -0.169. Sort x, -1\/3, 0, 1 in decreasing order.\nAnswer: 1, 0, -1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 4:00 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 83, 0.4 in decreasing order.\nAnswer: 83, 0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y - 4. Let t be a(3). Find the third derivative of 14*h**6 - 25*h**2 + 3*h**5 - 4*h**t + h**5 wrt h.\nAnswer: 1680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 3\/2)*384. What is the greatest common factor of f and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -1, 601097 in increasing order.\nAnswer: -23, -1, 601097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/2 - 127*o**2\/2 - 1488*o.\nAnswer: -o*(o + 31)*(o + 96)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9339 times -6.466\nAnswer: -60385.974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 101*o - 196. Let g be y(-2). Sort 3, 1, g, -1, 43 in ascending order.\nAnswer: -1, 1, g, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 27 - 21 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 e when four letters picked without replacement from {d: 1, e: 13, q: 3}?\nAnswer: 117\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 5 = -2*i. Suppose 2*r + i*z - 15 = 0, -4*r + 32 = -z - 9. Let u be (4\/1)\/(r\/15). Solve 20 = -h + u*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96 + -149. Suppose 0 = 5*u - 2*q + 420, 5*u - 51 + 466 = q. Let p = w - u. What are the prime factors of p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -0.4, 99, -5\/3, -5, -4875?\nAnswer: -4875","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3201305221?\nAnswer: 1033, 1087, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1835032 is divided by 14225.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5)*g\/g**(-6))**(4\/5) assuming g is positive.\nAnswer: g**(148\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2242 - 2243. What is the nearest to -12 in 0, -3\/7, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(1\/5)*t*t*t)\/t*t)\/t**16)\/((t**1*t)\/(t**5\/t)) assuming t is positive.\nAnswer: t**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 294563189 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -49165.891 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + d. What is the units digit of m(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 48*b - 46*b - 1 - 6)*(-2409 - 58*b + 2409).\nAnswer: -116*b**3 - 116*b**2 + 406*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -1)\/(3\/(-9)). Let m(s) = -9*s**3 + 11*s - 11. Let p(f) be the first derivative of -5*f**4\/4 + 3*f**2 - 6*f + 88. What is x*m(o) + 11*p(o)?\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3475\/19052 + 1\/1732. What is the nearest to 2 in -5, l, 280?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127738930 to the power of 1\/2, to the nearest integer?\nAnswer: 11302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d. Let b(o) = 6*o + 46. Determine b(v) + 8*t(v).\nAnswer: -2*v + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12429.\nAnswer: 3, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 81653.23 decades?\nAnswer: 816532.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26317*n**3 + 26315*n**3 - n + n.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 993.9248 millilitres to litres.\nAnswer: 0.9939248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/((-156)\/(-416))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -29574, -59076, -88578?\n\"Answer: -29502*j - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**2 - 9*m - 5. Let d be u(3). Let s = 63 - 39. Suppose -3*v + d*w = -2*v + 12, 0 = -2*v - 4*w - s. Is v less than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.33 less than or equal to -76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. What is the lowest common multiple of 22 and 0 + (3 - 3) + c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -883, -1504, -2125, -2746, -3367?\n\"Answer: -621*c - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: What is the eighth root of 2285779 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16257160?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -64*y + 345 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*y, -3*y = 48*s - 44*s - 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -819000 rounded to the nearest 10000?\nAnswer: -820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -2. Let r be 1 + 2*b - 6. Let d = 1 - r. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51540309 and 18?\nAnswer: 103080618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cb (base 13) to base 16.\nAnswer: -a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3446?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 557.07 litres in millilitres?\nAnswer: 557070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/8)\/((-2)\/(-48)). Let x = v - -16. Solve -2*s + x = 2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12117443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16145364 and 38988.\nAnswer: 4332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.3927 - 0.0027. Let z = h + -0.39. Which is the second biggest value? (a) z (b) -5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 9:21 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(684) + 2 + sqrt(684) + sqrt(684))**2 + sqrt(684) + (-1*sqrt(475)*5)**2 - (sqrt(76) + (2*sqrt(76)*3 - sqrt(76)))\/((sqrt(100)\/sqrt(5))\/sqrt(5)).\nAnswer: 72*sqrt(19) + 18035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 + 15.5. Let q = 35.3 + n. Which is the second smallest value? (a) 3 (b) q (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-489*n**3 - 500 + 9183*n + 484*n**3 - 9182*n)*(0*n + 5*n - 3*n) as o*n**3 + z + x*n + r*n**4 + k*n**2 and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 33 = -0. Let q = -11 - o. Solve x + 3*h - 7 = q, 0*h + 4*h = 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -9*t. Let l(w) = 2*w. Let u be 0 + 19 - (-248 - -245). Suppose -3*j = 4*g - 0*g - 16, -g - 3*j + 4 = 0. Determine g*i(m) + u*l(m).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0063 - 319.9937. Let j = s + 290.6. Let q = j - -29. What is the biggest value in 4, -0.5, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34939, -70051, -105149, -140227, -175279, -210299, -245281, -280219?\nAnswer: -315107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b**2*g**2 + b**2 + 9*b*g**2 + 37*g**2 + 7 wrt b.\nAnswer: -8*b*g**2 + 2*b + 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 340.98 and -370.3.\nAnswer: -29.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 631 - 625. What is the highest common divisor of g and 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13921488 a multiple of 784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26196 rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790130 is divided by 10258.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67836168 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -568, -1109, -1664, -2239, -2840, -3473, -4144, -4859?\nAnswer: -5624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.07, 4, -1, 5\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 10. Let m be d(-13). Suppose -m*l + 20 = x - 4, 0 = -4*x - 12. Calculate the remainder when l is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*((4 - 5) + 1). Solve -4*y + 3*m - 4 = 19, -3*y + 2*m - 17 = d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - 6*o - 4*o + 12 - o + 10 to the form v*o + a and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2744, -5475, -8206?\nAnswer: -10937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48581561.\nAnswer: 7, 6940223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 138, 155, 186, 231, 290?\n\"Answer: 7*a**2 - 4*a + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3385385.\nAnswer: 5, 677077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3 - 3. Factor -2*q**2 - 5*q**2 + 3*q**o + q**2.\nAnswer: 3*q**2*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -510.8 and 262.9.\nAnswer: -247.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*(-2 + (sqrt(475) - (sqrt(475)*-1 + sqrt(475))) + sqrt(475)) + -4)**2.\nAnswer: -11520*sqrt(19) + 411936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9729?\nAnswer: 3, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 7*f**2 - f + 10. Let a be n(7). Suppose 3*p - 4*c - 9 = 4, c + a = p. Are p and -4\/21 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + (-8 - -13) + 29. Solve 13*k = 3*k + p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 11*n**2 + 10*n + 3. Let p be d(10). Let r be (2 + -1)\/(2\/14). Solve -5*b - 5*o - r = p, 2*b - 5*o - 17 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112219559?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (6 - 0) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36*d**4 + 80*d**4 - 3*d**4 + 3*d**3 - 101 wrt d.\nAnswer: 164*d**3 + 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-7)*2\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*n*t**2 - 126*d*n - 12613*d*t**2*z - 8*n*t**2 + 2*n*t*z + 2*t wrt z.\nAnswer: -12613*d*t**2 + 2*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 12*q - 14*q + 1548 = 0. Solve 49*t + 37*t - q = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7734 or 7733?\nAnswer: 7733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 369, 370, 371?\n\"Answer: t + 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, u: 3, n: 4, e: 1, t: 7}. What is prob of sequence nuu?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 0, 3, 2\/7, 760?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 57*t - 55*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*x + (3*x - 4*x + 0*x)*(-4 + 3 + 3) - 1 + 1 + x + 125*x + 30*x + 136*x)*(0*x - x - 3*x).\nAnswer: -1152*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 15 = -9*s + g, -3*g = -2*s - 3 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1 + -6 + 10 + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**30\/x*x*x**(-7)\/x*x assuming x is positive.\nAnswer: x**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from {o: 1, x: 2, l: 9, y: 3, k: 2}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25a + 0?\nAnswer: -25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 18 = -16*p. Let g(y) be the first derivative of 0*y**3 - 1\/12*y**4 + 1 + 1\/6*y**2 + p*y. Factor g(u).\nAnswer: -u*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k. Let r(v) be the second derivative of v**4\/12 + 5*v. Give r(i(a)).\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j - 40*j - 511 = 25*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 0. Let d(q) = -4*q + 62. Let r be d(15). Let x = g - r. What is the least common multiple of x and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 7*b - 7. Let p be v(-6). Let z(n) = 5*n**2 - 6*n - 7. Let s(w) = -4*w**2 + 5*w + 6. Let u(i) = 6*s(i) + 5*z(i). Is 2 a factor of u(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s. Let x(y) = -6*y**2 + 4*y - 4. Let o(h) = -5*h**2 - 7 - 6*h**2 + 10*h - 3*h. Let t(i) = -4*o(i) + 7*x(i). Give t(c(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/3))**14)**(2\/81) assuming w is positive.\nAnswer: w**(-28\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 7:16 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3\/2, 14, 7, -2, 36?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from {w: 1, n: 1, i: 1, p: 1, y: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -23 + 93. Let o(s) = -2*s**3 + 7*s**2 + 51*s + 33. Is o(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -132408 - -251944. What is the third derivative of -119536 + 124*o**2 + 106*o**3 + q - o wrt o?\nAnswer: 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.04259.\nAnswer: -0.17036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (60\/(-16))\/3*-4. Solve a + 24 = -y*g, -4*g - 5 = -2*a + 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 37 - f - 109 + 71. Let i(t) = 9*t + 4 - 1 + 4. Give i(y) + 5*r(y).\nAnswer: 4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*k**2 + k**3 + k**3 - 6247*k - 12*k**2 - 1 + 6246*k to h*k**2 + x*k**3 + s*k + o and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + sqrt(1008) + 3 - sqrt(1008)) + -3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 + 40*w - 36. Calculate j(-20).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/1743 and (-15)\/(-6) - (-22118)\/(-8964).\nAnswer: 15687","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10874 is divided by 1208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24367, -48736, -73105, -97474?\nAnswer: -121843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416526 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 9:38 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288 and 72?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**4 - c**3 + 2*c**2 + 1. Let f(u) = 40*u**4 - 7*u**3 - 4*u**2 - 35*u - 1. Let i(x) = f(x) + 2*n(x). What is the second derivative of i(y) wrt y?\nAnswer: 456*y**2 - 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 25*t**2 - 17*t + 25. Let g be v(22). Suppose 7 = -s + 9, 5*u = s + g. What are the prime factors of u?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (w - 4*w - 7*w)*(0*w + w + 2*w) + (2 - 2 - w)*(0*w - w + 2*w) as v*w**2 + q + h*w and give v.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 53 = 2*b, -4*r - 2*b = -9 - 85. Let i = r - 43\/2. What is the third smallest value in 1\/3, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 1, -8*b - 2*o + 132 = -3*b. What is the remainder when b is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*n - 10 = 0, j + 17 = 5*n - 12. What are the prime factors of j + 1555\/2*104\/65?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 - -0.52. Let n = 0.38 + x. Which is the nearest to -2? (a) n (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 6:58 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 404780, -3\/8, 8\/7?\nAnswer: 404780","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**3\/3 + a**2\/2 + 2. Let t(s) = 3*s + 6*s + s - 9*s. Let w be (-2)\/1 - (2 + -3). Calculate w*n(b) + t(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - -3*(-6)\/9. Suppose -6*n + s = -3*n. Let k = -0.02 + 2.02. Which is the nearest to k? (a) 2 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a - a**2 + 14 - 6*a - 7 + 9*a. What is s(8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5, -11, -17?\n\"Answer: -6*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707443519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 44, 0.1, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(243) + (sqrt(243) + (sqrt(243) + 1 + sqrt(243))*-1 - sqrt(243))) - (0 + sqrt(243) + (sqrt(243) - sqrt(243)*-1) + -4))**2.\nAnswer: -216*sqrt(3) + 3897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 0*h - 2 = -h + 5, -h = 211*l + 45*l - 262 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, b: 4, k: 5, e: 1}. What is prob of picking 4 b?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/5*q**5 - 12\/5*q**3 - 4\/5*q**2 + 3*q**4 + 0*q.\nAnswer: -q**2*(q - 2)**2*(4*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -2, -185, 5 in increasing order.\nAnswer: -185, -2, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 775*s + 10 = -4*i + 770*s, 101 = 19*i - s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -0.031?\nAnswer: -0.00186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 7:53 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.96 to one decimal place.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -14*t**3 + 23*t**2 - 13*t. Let k(g) = -7*g**3 + 11*g**2 - 6*g. Suppose 0 = s - u - 15, -50 = -4*s + 291*u - 292*u. Determine s*k(j) - 6*d(j).\nAnswer: -7*j**3 + 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -112*v**2 - 244*v + 45. Let z(b) = 22*b**2 + 49*b - 9. Let w(n) = 2*j(n) + 11*z(n). Determine p so that w(p) = 0.\nAnswer: -3, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-14))\/(60\/(-105)). Factor -g*n**2 + 3\/4*n**3 - 3\/4*n + 3\/4*n**4 + 0.\nAnswer: 3*n*(n - 1)*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -907.1 - -906. Which is the closest to 0.1? (a) 1.5 (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/7247905?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1828*c + 2099*c - 3439*c.\nAnswer: 488*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -28?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*g + 154*g - 120 = 0. What is the remainder when 45 is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/17*t**2 - 32\/17*t - 128\/17.\nAnswer: -2*(t + 8)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 - 4*k**2 + 4*k**2 + (-3*k - 3*k + 4*k)*(2*k - k + 4*k) to w + l*k + m*k**2 and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 s when two letters picked without replacement from {s: 4, f: 2, g: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -782964196+-81\nAnswer: -782964277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a**(-11)\/a*a*a)\/a**(1\/2))\/(a**(-3))**(-10\/7) assuming a is positive.\nAnswer: a**(-165\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 9*r - 4. Let t be n(-11). Let b = t - 9. Let j be 24\/b - 4\/6. Solve -3 = -o + j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**3*l**3*w + f**3*l**2*w - 8*f**3 - 5*f*l**3 + 12*f*w - l**3 with respect to w.\nAnswer: -f**3*l**3 + f**3*l**2 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o - 1. Let c be f(1). Let u be (-87190312)\/(-6) + (-2)\/c. Let w = u - 8131718. What is w rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 17*w**2 - 14*w + 37. Let c be n(-16). Let g(z) = -2*z + 6. Let u(h) = 2*h - 5. Calculate c*u(o) + 4*g(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 28. Let z = -9 + h. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 74 - 56*a.\nAnswer: -56*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.3 - 7. Let s = 0.4 - d. Let o = 5 + -9. Sort 0.3, o, s in descending order.\nAnswer: 0.3, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -117998*i**2 - 15*i + 25. Let a = 4 - -1. Let u be c(a). Round u to the nearest one hundred thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.16 to one dp.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.756 + 34.194. Let l = o - -0.05. Let v = -34.54 + l. Round v to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -819, -6126, -20527, -48564, -94779, -163714, -259911, -387912?\n\"Answer: -757*m**3 - 5*m**2 + 7*m - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 2 + -4)\/12.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.5 (b) 12 (c) 0.3 (d) 0.1 (e) 298.7 (f) 0.2 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -559*-0.2\nAnswer: 111.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -19\/6, 102, -3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*5)\/(4\/24). What is the common denominator of -99\/4 and (3\/2)\/(j\/242)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3886 = 2*g, -5*h + g - 9687 = -g. Let a = h - -7827\/4. Calculate the common denominator of (82\/(-40)*-1)\/(-1) and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-3400981\nAnswer: 1700490.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 10*b = -16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 228 and 692?\nAnswer: 39444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -9488*k - 1774219. Calculate m(-187).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -185*t + 18321. Give g(99).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 66*h**2 + 427*h + 360.\nAnswer: -(h - 72)*(h + 1)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 144 = -3*k. Suppose k = -f + 45. Suppose f*m = -z + 2*m - 4, 0 = 2*z + 2*m - 8. Let r(h) = h + 5. Determine r(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100331001 (base 4) to base 9.\nAnswer: 115226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -11*o**4\/24 - 30*o**2. Let f(z) = -145*z**2 + 78*z**2 + 70*z**2. What is f(l(h))?\nAnswer: 363*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, 0, 1.3, 18, -2, 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(1\/(-2 - -1)). Let l be (1 - -1)\/1*n. Let f(g) = -g - 2. Determine f(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 c when four letters picked without replacement from vbvcrsrcqsbc.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217, 944, 2885, 5612, 9131, 13448?\nAnswer: 18569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -98*w + 2. Calculate k(1).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*n - 69*n - 21840 = 0. Calculate the smallest common multiple of n and 192.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 4*h + 1. What is u(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 4, -15, 21, -2 in descending order.\nAnswer: 21, 4, 0, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = g - 5*t, 7*g + 10*t + 6 = 14*t - 5*t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, w: 1, z: 1, p: 6}. What is prob of picking 3 p?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94*t + 2 - 98*t - 3 + 1)*(-376*t**4 + 5*t**2 + 355*t**4 - 8*t**2).\nAnswer: 4032*t**5 + 576*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 3*b + 4. Let a be p(-3). Suppose -d = a*d - 125. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287748 is divided by 674?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 3*h + 1. Let w be t(1). What are the prime factors of (-17)\/3*(w + -2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19088.\nAnswer: 2, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 3) in base 13?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-2)\/(-8)*14\/(-21)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/(-8) - 1\/(-4). Suppose 4*k - b = -4*x + 17, -3*k + 15 = x. Let g = 10 + x. What is the highest common divisor of g and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/79 at most -6720\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1105 rounded to 2 dps?\nAnswer: -3.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/6 + 35\/21. What is the remainder when 27 is divided by r\/(-11) - (-112)\/11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 7:00 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 0\/1)*1. Let x be (-10 - -3)*(2 + -4). Suppose t*z - x = z. Calculate the highest common factor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 + 1636*w.\nAnswer: -4*w*(w - 409)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 - -52. Is (-3)\/((-27)\/6)*(-3030)\/w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*i = 14*i - 83*i + 7319961. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118022 is divided by 901.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*k**3 + 70*k**3 + 65*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3989831 is divided by 498727.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/15 and -143\/1380.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1573))**2*6.\nAnswer: -132*sqrt(13) + 9444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 + 5*p + 37. List the prime factors of a(-9).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19266471.\nAnswer: 3, 7, 101939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 383 - -15?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**4\/24 - 4*v**3\/3 - 28*v**2. Let n = 3 + 3. Give c(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 584 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 471 divided by 5.\nAnswer: 471\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 24, -0.5, 5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13664961 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**6\/150 - l**5\/50 + l**4\/20 + 2*l**3\/15 - 2*l**2\/5 - l. Determine v so that m(v) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-27) - (-2)\/(-9). Let x(d) = -d**3 - 31*d**2 - 26*d + 122. Let m be x(-30). Solve -m*j = -f*j - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 13*a**5\/4 + 5*a**4\/12 + a**3\/6 + 2*a**2 + 14*a + 48. Let g(i) be the first derivative of u(i). Is g(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.0000002 - -11. What is t rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6 + 5 - 12 + 177*f.\nAnswer: 177*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53224593?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4914*r - 6762 = -7030 - 19388. Suppose u - 2*u + 5 = 0. Suppose 2*x**2 + 20\/3*x**3 + 0*x + 0 - 46\/9*x**r + 8\/9*x**u = 0. What is x?\nAnswer: -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(((q\/((q*(q*q**(-16))\/q*q*q)\/q*q)*q)\/q*q)\/q)*q**(3\/7)\/q*q**(-2\/37)\/(q**21*q) assuming q is positive.\nAnswer: q**(-9227\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*q = 0. Suppose -3*y - 2*y - 5 = q. Let m = y - -4. Solve 0 = -o - 4*v - 11, 0 = -m*o + 4*v + v + 18 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 10. Suppose 0 = 2*g + i - 28 - 9, g - 36 = -n*i. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from {a: 1, w: 2, p: 2, r: 1, d: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 7*y - 2079 = 6*y, 2*y = 8. Let p = j - 266. Calculate the smallest common multiple of p and 11.\nAnswer: 1639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 0*a - 5*l + 70, 0 = -2*a + 5*l + 50. What is the remainder when a is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**4 - 28*k**3 - 60*k**2 - 36*k = 0. Calculate k.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/2)\/l*l*l**6\/l)**18\/(l**(3\/2)\/(l*l**(4\/9)*l*l))**(-3\/5) assuming l is positive.\nAnswer: l**(695\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 5693.5.\nAnswer: -17080.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 4223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6.9104*214\nAnswer: 1478.8256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9 - (-8)\/(-12)) + -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 0*c + 0*c - c + c + 2*c**2 + (0*c - c**2 + 0*c)*(0 - 1 - 1))*(36 - 36 + 19*c**2).\nAnswer: 95*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 1. What is the smallest value in 3, j, 60, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-390)\/4)\/5)\/((-69015)\/428). Is n less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*u**2 - 3212*u + 2144.\nAnswer: -2*(u + 536)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*p - y + 5*y, 3*p - 12 = -2*y. Let j be 1\/(-2)*(4 - 12). Suppose 0 = u + 4, -2*b + 13 = -3*b - j*u. Solve -p*f = r, 2 - 6 = 2*f + b*r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/3 (b) 756 (c) -0.6 (d) 0.028 (e) -0.3 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-8) - 2\/(16\/748). Let x = l + 151. Is 13 a factor of x*-1*(-12)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzgzztgdzdfzzg. Give prob of picking 2 f.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhw when three letters picked without replacement from {h: 3, p: 1, w: 2, x: 7, b: 4, j: 1}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2 + 5. Let x be 1 - (4 + -3)*1. Suppose -2*k + 1 + a = x. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71712 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 472380?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*s - 5*n, -5*s - 2*n = 1 + 2. Let b be s*(6 + -3) - -7. What is the greatest common factor of 100 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424 - 384 = 207*h - 187. Let x be ((-3)\/(-174))\/(2\/(-8)). Which is the nearest to -1\/4? (a) h (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 1 = 0, -175*c + 179*c - y + 5*y = 4*y - 4*y - 40 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 263.06 - 415.3. Let b = -140 - 4. Let m = b - f. What is m rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 29 = -0*r - 5*r, -28 = 4*r - 4*t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00072057477 rounded to 7 decimal places?\nAnswer: 0.0007206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6*s - 76. Let r be f(-17). Solve -r = 4*g - 6*w + w, -5*g + 5*w = 30 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - o**2 - 2*o**2 + 0 + 5 to b*o**2 + s*o + p and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 15, 4*u + 5*i = 2*i + 31. Solve 3*h - 10 = 2*h + a, -25 = -h + u*a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27a (base 12) to base 6\nAnswer: -1434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**3 - 12*s**2 - 13*s + 2. Let u(n) = -3*n**3 + 11*n**2 + 12*n - 2. Let v(w) = -5*u(w) - 4*y(w). Is 7 a factor of v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -12. Solve 4*r - s - 7 = 0, -5*s + 2*s - h = 5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2531 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -36*s. Let k(p) = -p - 9222. Determine f(k(z)).\nAnswer: 36*z + 331992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 3*k**2 + 0*k**2)*(-55 + 67 - 107).\nAnswer: -190*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2489143 less than -2489142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 11 = 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 612183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 3. Let h be (-10)\/(-6) - (1 - (-4)\/(-3)). Suppose 4*v + 54 + h = 0. Let z be n(v). Calculate the greatest common factor of z and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/28)*l**11 assuming l is positive.\nAnswer: l**(307\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 3*u**2 + 7)*(-9*u + 9*u - 4*u**2 + 1) + 0*u**4 - 2*u**4 + u**4.\nAnswer: 11*u**4 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3861.9 + -3862. What is the third smallest value in 1, z, 0.788?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*z + 9*z + z**2 - 10*z)*(6 - 1 - 3) to the form m + h*z + i*z**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 874*r - 870*r = 13, -d + 5 = 2*r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 80 = -2*s, -4*s + 184 = 3*h + 57. Let u(d) = 138*d - 2154. Let y be u(16). Solve -s = 4*m - y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1699 and 1.\nAnswer: -1698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fymyffmfmyymymyyfy. What is prob of sequence mm?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 861\/5 + -172. What is the closest to -0.2 in -3, 0.01, a?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 1. Let q(m) = -24*m + 24. Give -30*l(v) + q(v).\nAnswer: 6*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) 7 (c) -5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - -1.5. What is the biggest value in h, 0.2, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313369.\nAnswer: 7, 89, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 e, and 1 a when three letters picked without replacement from rmaawmeakem?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2590 * -0.3.\nAnswer: -777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqzqidzdizkqtzttkd. Give prob of picking 1 t, 1 z, and 1 d.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9674992 days to microseconds.\nAnswer: 83591930880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11532 divided by -186\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 7*v**5\/10 - 31*v**4 + 287*v**3\/3 - 108*v**2 + 99*v\/2 + 5276. Let j(h) = 0. Calculate h.\nAnswer: 3\/7, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (160\/(-13) - (153 + -153))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.7 - -4.6. Let y = z - -1.1. Which is the third smallest value? (a) 2\/3 (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 + g**3 + 13*g**3)*((2 - 2 + 3)*(g - g - 2*g) - 5*g + g + 5*g).\nAnswer: -70*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139 + 159 - 3*3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 2280?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 10. Give z(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 272, 423, 814, 1565, 2796, 4627, 7178, 10569?\n\"Answer: 20*r**3 + 11*r + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bb94 + 1b?\nAnswer: -bb77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14, -12, -10, -8, -6, -4?\n\"Answer: 2*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-168)*15\/9?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pffp when four letters picked without replacement from fpqfffffpfpqqfffpfrf?\nAnswer: 22\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**3\/6 + 63157*f**2 + 4547038*f\/3 + 2778732 = 0?\nAnswer: -378918, -22, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12416692, -24833382, -37250072?\n\"Answer: -12416690*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 31952040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -355 - -354.9. Let r(f) = -f - 3. Let t be r(-2). Which is the closest to t? (a) y (b) 3\/7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1385*-2.\nAnswer: -0.277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 2*t = 3*f + 65, 45 = 4*f + 3*t. Let m = -12 + f. Suppose -m*d + 78 = 15. What is the highest common divisor of d and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 9:39 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 693 a factor of 138859903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*z + 75, 4*z - 11 = -3*h + 20. Suppose 9523 - 60080 = -h*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257012?\nAnswer: 2, 7, 67, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(18) - sqrt(14)\/sqrt(28)).\nAnswer: -5*sqrt(2)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3359a (base 13) in base 2?\nAnswer: 10110110000111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270*z = -47*z + 15*z - 22372. Let u = 40 - 24. Calculate the least common multiple of z and u.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r - 3*r + r + (-4*r - 2*r + 2*r)*(-2 + 1 + 0) - 1912 + 19*r + 1912 in the form b*r + s and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*l = 18, -2*l = 3*m - 0*m - 15. Suppose 0*n = -4*n + 4*f + 192, 0 = -m*n + 4*f + 141. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 3:45 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**7*f))\/f*f**(-7)\/f)\/(f**(-1\/5)*f*f*f**7) assuming f is positive.\nAnswer: f**(-124\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3611*y**2. Let p(z) = 2*z**2. Calculate f(p(l)).\nAnswer: 14444*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 3*x - 4*x**2 + 3*x**2. Let f be c(3). Suppose f = -2*m + 5*m - 12. Solve m*o = -o + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**4\/24 - 7*u**3\/6 - 11*u**2\/2 - 27*u. Let h(r) be the first derivative of s(r). Let v = 0 + 0. Calculate h(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*n - 295*n + 82398 = 547*n + 17498 for n.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3\/7, 5\/4, 58, 98 in decreasing order.\nAnswer: 98, 58, 5\/4, 3\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - sqrt(117)*-2)*-6*-1)\/((sqrt(72)*3)\/sqrt(2)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(375) - 2*sqrt(375))*3*-4)\/((sqrt(5) - (sqrt(90)\/sqrt(2))\/sqrt(9)) + sqrt(5) - (sqrt(30)\/sqrt(6)*-5 + sqrt(5))))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - -1*3\/9. Let g be 3*12\/(-9) - -1. Which is the closest to -11? (a) g (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 0, -136, -274, -414?\n\"Answer: -g**2 - 133*g + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 12. Suppose m*z - 24 = -n, n + 4*n = 2*z - 16. What is the lowest common multiple of z and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1284)\/132 - -10) + (-43)\/77. What is the second biggest value in 5, h, -5, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1267226525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -700523, -700520, -700517?\n\"Answer: 3*q - 700526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-20))\/((-1200)\/110 + 2\/(-22))*-15?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 12*v**3 - v**2 + v. Let l(d) = d**3 - 7*d**2 - d + 10. Let i be l(7). Suppose i*x - 5 = -2. List the prime factors of r(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1951)\/(-10) + 0 + 2. Let i = -1041\/5 + o. Calculate the common denominator of -89\/10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120 (base 4) in base 14?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332051194 to the power of 1\/3, to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -5152 and -5152 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -218\/715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5)*(-148 + 148)\/(-6 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(2232 + 1069 - 125)*(8*y - 2 - 6*y - 4*y).\nAnswer: -12704*y - 12704","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 89617161 to the power of 1\/3, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5909313 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3015.3 + 3015.281947. Let l = v - -0.018. What is l rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**3 - 3*d**2 + 52*d + 89. What is l(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1\/3 (b) 1003 (c) -1.2 (d) -0.204\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62374 and 611?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -21*t + 194. Let p be z(17). Which is smaller: -171 or p?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**3 + z**2 - 8*z + 11. Suppose -2*n + 4 = -2*j, 3*n + 27 = 6*n + 4*j. Let q(k) = -3*k**3 - k**2 + 5*k - 7. Give n*w(r) + 8*q(r).\nAnswer: r**3 - 3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 6, -2, 7.8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 5. Let m be a(-5). Suppose m*z + 4 = 2*z. Let d(n) = 3*n - z*n - 6*n + 4*n. What is d(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131 + -919\/7. Let v = 96 - 94.2. Which is the fourth biggest value? (a) r (b) -0.3 (c) v (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*k + 58, 0 = -2*t - 8*k + 3*k + 25. Let b = t - 11. What is the remainder when b is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 569, 578, 593, 614, 641?\n\"Answer: 3*h**2 + 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(2016))\/(sqrt(8)*-2*-5 - sqrt(8))*2)**2.\nAnswer: 2800\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/199830 and -125\/79932?\nAnswer: 399660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2378 + 146?\nAnswer: 2502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32*r**2 + 428038*r*u - 131*u - 134984 wrt r?\nAnswer: 64*r + 428038*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 574 - 574.5. Put 194, -1, j in increasing order.\nAnswer: -1, j, 194","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5392300 to the nearest 10000.\nAnswer: 5390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 37 - 25 = 0. Let k(l) = l + 4. Let q be k(-6). Let z be (-1 - 20)*q\/6. Solve 5*u - 17 - m = -i, i - z = -u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.06, -2\/11, -2257, 0.4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and -0.3?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 525, 439, 307, 123, -119, -425, -801, -1253?\n\"Answer: -i**3 - 17*i**2 - 28*i + 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 602 = -13*t. Let i = t - 53. Let r be -32*(35\/i + 2\/8). Calculate the greatest common divisor of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (142\/40 + -4)*(-15)\/(-18). Which is the nearest to -4? (a) -0.1 (b) -21\/4 (c) 0.2 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -195.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111637846*b**3 - 75443321*b**2 wrt b?\nAnswer: 669827076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2180?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -24*u + 68. Let a be f(3). Put -3, a, 58 in increasing order.\nAnswer: a, -3, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 3:07 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from nkkxy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**3 + 2*f**2 + f. Let i be q(-1). Let z = i - 4. Solve 0 = 2*b - 3*b + z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*w - 136, -2*h = -0*h. Suppose 2*p = b + p - 6, -4*b = -5*p - 24. Is 5*b\/15 + w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 2 + 2*f + 0*f**3 + 1\/6*f**4 - f**2. Let b(w) be the first derivative of t(w). What is the derivative of b(i) wrt i?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) - -2*sqrt(500)) + sqrt(5))*-6)**2.\nAnswer: 87120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 0 - (-29 + 16). Sort -2\/9, b, 0.1 in ascending order.\nAnswer: -2\/9, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 f when three letters picked without replacement from bhhhbfhhhhffhhhhbbhf?\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 + 5*r + 5. Calculate g(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -19.964. What is a rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 80*h**2 + 439347*h - 318744314 wrt h?\nAnswer: 160*h + 439347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8639711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -332453?\nAnswer: -332453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 37*d**2 - 39*d + 147. Determine f(36).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 384 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 88 - 94 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*t**3 - 22*t**3 - 35*t**3.\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 37*n**2 + n - 2. Give a(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323*p - 316*p = 245. Let s be (-37)\/(-7) - (-6)\/(-21). Suppose s*i - p = -4*g, 2*i - 21 = -5*g + 2*g. Solve 1 + i = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 - b**2. Let o be j(3). Let m be 6 + -2 + (0 - 0). Factor -2*t**m - o*t**3 + 13*t**4 - 3*t - 38*t**4 - 21*t**2.\nAnswer: -3*t*(t + 1)*(3*t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10, -2, -4, 3 in ascending order.\nAnswer: -4, -2, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 2237?\nAnswer: -223a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**4\/12 - 3*s**3\/2 + 4*s**2 + 92*s. Give q(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jz when two letters picked without replacement from {z: 4, j: 14}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8904279?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n. Let l be q(-1). Suppose 5*z - l*z = 6. What is the third derivative of u**z + 2*u**2 - u**6 + 3*u**6 wrt u?\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -362 - -431. Find the first derivative of j*w**2 + 65*w**2 + 155 - 309*w**2 wrt w.\nAnswer: -350*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t + 4 = 5*z, 4*t - 2*z - 16 = 0. Let m be 32*-7*(163 - 153). Is m\/(-26) - t\/26 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*d - 1. Suppose -c - 48 = -d*c. Let o = -13 + c. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 812a9 (base 12) in base 5?\nAnswer: 20334113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 + 4*j - 9 + 16*j**4 - 29*j**4 + 15*j**4 + 9 - 25*j**3 to the form a*j + v*j**4 + o + g*j**3 + x*j**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(125) - (3 + sqrt(125) + 0 + sqrt(125)))*-1 - (-6*(-1 + sqrt(125))*-4)**2) + 4.\nAnswer: -72569 + 5765*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 23*g + 34 - 10 - 7.\nAnswer: -23*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 568602 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01098843 to 5 decimal places.\nAnswer: 0.01099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**13*(g*g\/g**(-20)*g)\/g)\/((g**(-1\/7)*g*g*g)\/g**(-5)) assuming g is positive.\nAnswer: g**(190\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 110*c - 4920. Calculate s(144).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u. Let v(w) = w. Let z(t) = 6*v(t) + y(t). Let k(s) = -s**2. Determine k(z(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18793953, 18793947, 18793943, 18793941, 18793941?\n\"Answer: m**2 - 9*m + 18793961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*q - 111, -3*q + 60*f - 62*f = -176. Suppose 0*j + j - 58 = 0. Let k = j - q. Solve k*n - n = -2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3)*(-240)\/32. Let f(z) = -z - 5. Determine f(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -35 - (2 + (2 - 4)). Find the common denominator of 55\/8 and (-6)\/40*l\/12.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lae when three letters picked without replacement from {l: 8, a: 1, e: 4}?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4754010 divided by -2\nAnswer: 2377005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 572*p**2 - 7*p. Let m(j) = 2*j**3 - 1145*j**2 - 12*j. Give 5*k(l) - 3*m(l).\nAnswer: -l**3 + 575*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 913 - 922. Let m(l) = 10*l**3 - 1. Let r be m(-1). Is o at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7 less than 3.1?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*b + 6974 = -123*b - 638 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -75*q**5\/2 + 780*q**4 + 9633*q**3\/2 + 6591*q**2 = 0.\nAnswer: -13\/5, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 16, k: 2}. Give prob of sequence knn.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -66979.9 and -0.3.\nAnswer: -66980.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 4355053.\nAnswer: 2177526.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 1837 = 3*a, -l + a - 68 + 526 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 15 = -3*m + 5*m, 4*l - 15 = 7*m. What is the third smallest value in -83, 0, -0.1, -4, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-79812)\/(-546)*6\/9. Let u = j + -1200\/13. What is the common denominator of -4\/15 and u?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*h + 3\/5*h**4 - 3\/5*h**3 + 0 - 12\/5*h**2.\nAnswer: 3*h*(h - 2)*(h - 1)*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 2226 = -14*v. Calculate the highest common factor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 1\/30*z**5 - 5\/24*z**4 + 0*z + 0*z**3 - 3*z**2 + 0. What is the tens digit of c(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 11:49 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s + 535 = 40*s + 49*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -3\/2, -0.1, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*b - 14*b - 64 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 81 * 0.05\nAnswer: 4.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3 = -3*z. Let l(r) = r**3 - 3*r**2 + 2*r + 1. What are the prime factors of l(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**5\/60 + 319*k**4\/8 - 955*k**3\/3 - 2301*k**2. Let b(c) = 0. What is c?\nAnswer: 2, 955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5895, 5876, 5853, 5832, 5819, 5820, 5841?\nAnswer: 5888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19675, 78706, 177091, 314830?\nAnswer: 491923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 0 + 28\/24)*6. What is the nearest to 0.9 in -16, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, -1\/4, -2\/5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 5*i**2 + 3*i + 1. Calculate f(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zygmfmytz. Give prob of picking 2 m and 1 z.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5312742?\nAnswer: 2, 3, 19, 29, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198859 is divided by 287.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 34*z + 12197. Is l(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246729 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5c50 + 13c?\nAnswer: 608c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.054 - 54.554. Let m = 8 + l. Round m to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 759 + 519. What is the nearest to 0.1 in q, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (15\/((-10)\/(-2)) - 7). Suppose z*u + 14 - 6 = -p, -3*p - 2*u - 3 = 0. Does -6 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxxhjpq. What is prob of picking 1 q and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 134762722 a multiple of 1333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*a - 29*a + 61*a = 0. Let y(v) be the second derivative of -1\/10*v**6 - v + 0 + 0*v**4 + 9\/20*v**5 + a*v**3 + 0*v**2. Solve y(w) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - -16 - ((11 - 10) + -55).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 13. Suppose h + 69 = 77. Let y be 74\/h - 8\/32. Let q be f(y). Solve -c - q = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -308, -648, -988?\n\"Answer: -340*r + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 710736283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10220 and 210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97\/535 - 2\/107. Which is the nearest to -0.1? (a) -4\/7 (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33ca + 3a?\nAnswer: 3404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 96 + 3 + 368 = 10 for j.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 27996, 37643, 47290, 56937?\n\"Answer: 9647*b + 18349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4*68\/(-765).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*y + 26, 0*i + 11 = -2*y + 5*i. Suppose 0 = 7*n - 3*n + r - 72, -n = -5*r + 3. Let j = y + n. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*y + 34 = 107, 2*g + 4*y - 22 = 0. Suppose -g*q + 104 = -15*q + 2*r, 5*q = r + 260. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a3 (base 13) to base 4.\nAnswer: -2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 61472\/6 - (-45)\/27 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -3.99. Let c = -0.21 + i. Let l = 0.2 + c. Sort l, -2, 0.1.\nAnswer: -2, l, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -6*x - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329 + 14*x**3 + 565 + 9*x**2 - 236 + 431*x**3.\nAnswer: 445*x**3 + 9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92.0077 - -92.1. Round n to 3 dps.\nAnswer: 0.092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -174 + 198. Let o(z) = -115*z - 60. What is the units digit of o(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -244, -363, -466, -547, -600, -619, -598?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2286 - -2282. Let s = 1 + 39. Calculate the lowest common multiple of (-2)\/a - 4\/(s\/(-105)) and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-1037)\/(-68) + -15) - (-7)\/(-12).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.554 - -2.554. Sort 0.07, 1, j in ascending order.\nAnswer: j, 0.07, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12237, -3, -2102 in increasing order.\nAnswer: -2102, -3, 12237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*k + 19*k + 17 + 23 - 51 to the form u*k + i and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (210\/(-120))\/((-49)\/8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -110 and 3.\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 4\/6 - (-25230)\/90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 563860273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 - 45. What is the closest to -0.3 in -7, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 406*o**2 - 1359*o**2 + 2 + 8*o + 616*o**2 wrt o?\nAnswer: -674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 26 - 58 = 0. Suppose 88*b - 18 = 89*b. Let r = b + w. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -215009 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -97, 389, 2049, 5471, 11243, 19953, 32189, 48539?\n\"Answer: 98*l**3 - l**2 - 197*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(18)\/sqrt(6)*5 + 0)**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 110058, 219961, 329848, 439719, 549574, 659413, 769236?\n\"Answer: -8*i**2 + 109927*i + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 - -48. Let z(n) = -14*n**2. Let s(i) = -7*i**2. Determine q*z(h) + 5*s(h).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 369874 and 2422?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 6:33 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108 by -218225.\nAnswer: 108\/218225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 - ((-6)\/(-10) - 442\/(-180)) and 605\/90 + (-2 - 0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 452 = 142. Suppose -12*i - g = -222. Solve 4*n = -u + 3, i*u = n + 2*n + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*a - 2 + 42. Put 5, a, -13, 1, -3 in descending order.\nAnswer: 5, 1, a, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*s + 32 = 4*s, 4*v - 3*s - 156 = 0. Let u(z) = -3*z + 105. Let p be u(v). Which is the third biggest value? (a) 33 (b) p (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6}. Give prob of picking 4 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnnxxtxttxntx. Give prob of sequence tnt.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7704, 1, 8857 in increasing order.\nAnswer: -7704, -5, 1, 8857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21013 - -33089. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - i = 15*u - 23, 5*i + 18 = -4*u. Let f(d) = 21*d + 151. Determine f(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -212387*v + 13592736. Give i(64).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63254 or -87?\nAnswer: -63254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62\/27 - 109\/27. Let w = -27\/62 - 1493\/558. Find the common denominator of w and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - i**2 + 2*i + 5. Let a = -16 - -16. Let d be k(a). Suppose 3*r - 34 = -o, -r = d*o - 2*o - 22. What is the remainder when 108 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/3)*a**(-35)*a**(-6)\/(a\/(a\/(a**(-35)\/a))) assuming a is positive.\nAnswer: a**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.2 - 1.2. What is the third smallest value in v, 2\/9, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*z - 24, 0*a - 30 = 4*z + 3*a. Is (-2)\/(z\/9) - -116 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13896, 13851, 13792, 13713, 13608, 13471, 13296?\nAnswer: 13077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -3)*6 + sqrt(1872)*-1.\nAnswer: -6*sqrt(13) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65.25 - 0.75. Let o = r - -70. Let b = -2 - -2.1. Is b > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*x - 458 = -5*b - 33*x, -4*x - 261 = -3*b. What is the remainder when 297 is divided by b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, -3\/5, 0.2, -95?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*y - 12 = 0, 2*a - 4*y - 6 + 0 = 0. Solve -j + a*j + 4 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 17009*o - 15. Let a(n) = 21*n - 2. Give k(a(p)).\nAnswer: 357189*p - 34033","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 15804a7b?\nAnswer: 15804a7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002038303 to 6 dps.\nAnswer: -0.002038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5 - 15. Suppose -v*q + 0*q = -280. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4917787611214 plus 0.3?\nAnswer: -4917787611213.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 5*g**2 - 3*g + 3 + 4*g**2 - 4 + 1 - g**4 - g**3 in the form y + k*g + l*g**2 + s*g**4 + p*g**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c + -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84792 - 49561. List the prime factors of b.\nAnswer: 7, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 51.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48.29 - 48. Let t = 0.09 - b. Let j be (-13)\/(-11) - (-6)\/(-33). Is j at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427459 is divided by 927?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, n: 2, k: 1, j: 3}. Give prob of sequence jkjj.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2 + 24*t. Let m be b(-6). Suppose 5*c - 9157 = 4*s, 4*c + 2*s = -m*s + 7310. Suppose -c = 6*o + 3355. Round o to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 214991520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-32)*b*b**(1\/5) assuming b is positive.\nAnswer: b**(171\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290 + 1370 = 83*l. Let i be (-18)\/(-4) + (-1)\/(-2). Solve i*y = -0*y + l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, h: 5}. Give prob of picking 4 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -110 + 116. Suppose 0 = -11*w + c*w + 95. Solve w = 4*r + s, r - 2*r = s - 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 + -62. Suppose -m*v = -9*v - 16. Solve 3*c + v*y = -c + 8, 4*y = -2*c - 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**3*p)\/(p\/(p*(p*p**(-6\/5))\/p))*p**(-2\/3)\/(p**(2\/9)*p))\/((p**(-3\/2)\/p)\/p**(5\/2)*p**(1\/5)*p**(-3\/7)*p) assuming p is positive.\nAnswer: p**(44\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 13*v**2 - 7*v - 17. Let y(q) = 4*q**2 - 2*q - 6. What is -2*a(x) + 7*y(x)?\nAnswer: 2*x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100012111102 (base 3) in base 7?\nAnswer: -25415465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(-3 + 120\/48)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 8*g**2 + 4*g - 73. Let m be z(6). Find the common denominator of 103\/12 and (-4*(-4)\/192)\/((-6)\/m).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1218 + 1229. What is the nearest to -1 in -4, p, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**4 + u**4 - 3*u**4)*(-22*u - 18*u - 18*u).\nAnswer: -58*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/(-80) + (-1)\/(-4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 530*y**2 + 6*y. Let n(p) = -31269*p**2 - 357*p. Determine 4*n(s) + 238*x(s).\nAnswer: 1064*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1031 - 22?\nAnswer: -1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**5 - r**4 - 217*r**3 - r + 9927 wrt r?\nAnswer: -40*r**3 - 12*r**2 - 1302*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**4\/4 - 45*m**3\/2 - 252*m**2 - 1248*m - 2304 = 0.\nAnswer: -8, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9195440, -18390868, -27586296, -36781724, -45977152?\n\"Answer: -9195428*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2)**(-7\/9)*i**1*i*i**(2\/13) assuming i is positive.\nAnswer: i**(70\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20022122 (base 3) in base 5?\nAnswer: 121412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 188*c**2 + 3*c - 2. What is b(1)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 10. Let z = 2 - 1. Let p be ((-3)\/(-6))\/z*-2. Which is the biggest value? (a) p (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 420912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 - -96. Let z be 22\/f + (-23)\/(-5). Suppose -w + 18 = 4*m + 6, 0 = z*m + 4*w - 26. Let a(q) = -q**2 - q + 1. What is a(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4, -0.003 in ascending order.\nAnswer: -0.4, -0.003, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3561410 is divided by 890338.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 657 divided by 1.\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5 = -a + 2, -5*a = -4*t - 3. Let r be (-1 + 1)\/(t + 4). Sort -4, r, 4 in increasing order.\nAnswer: -4, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 246, 79, -0.1, 0.2, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15631 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = -6*r + 336. Calculate the remainder when 174 is divided by (r\/3)\/(4\/(-120)*-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -315177266 divided by -2.\nAnswer: 157588633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 684 = 59*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1533, -11872, -39817, -94176, -183757, -317368?\nAnswer: -503817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16040)\/401*6\/16?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 equal to 735530\/7217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11385 and 41675535?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 6*t - 8. Let r = -2 + t. Differentiate 2 + r*p - p - p wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 31, 30, 51, 118, 255, 486?\nAnswer: 835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5214310 to the power of 1\/3, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*s - 9*s - 44*s + 107*s - 37*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5102 and 3?\nAnswer: -15306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**2 - 5*y + 3. Let f be s(2). What is the second derivative of 16*m - 10*m - 9*m**2 + f*m wrt m?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -421 + 405 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w**3 + w**2 - 3*w + 2. Let h(r) = 2*r**3 + 29*r**2 + 15*r + 15. Let s be h(-14). Let a be k(s). Solve 8*x - 8 = a*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5589, 11181, 16773, 22365, 27957, 33549?\nAnswer: 39141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/4)\/((-27)\/(-18))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 7. What is x(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33002 + -1100?\nAnswer: -100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - -34. List the prime factors of r.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence deex when four letters picked without replacement from qdetbxttqetdxt?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 625584 and 469188?\nAnswer: 1876752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 + -143\/2. Calculate the common denominator of l and ((93\/24)\/1)\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -124*u**5 + 71*u wrt u.\nAnswer: -2480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41009*f - 1658*f**4 - 41009*f + 29188*f**4)*(1 + 4 - 6)*(f + 2 - 2).\nAnswer: -27530*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424704353.\nAnswer: 17, 139, 191, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3968 - -4070. Let p be 81\/(-6)*22\/(-3). Suppose -60 = p*n - z*n. Solve -2*c - 2*c = -n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 - 333131*f**2 + 443906385165*f\/4 - 443903720121\/2.\nAnswer: (f - 666261)**2*(f - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2944 from 2.\nAnswer: -2942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -29. Suppose r = 5*i - 7*i. Solve h - 2*b - 3 = i, -2*h - b - 26 = 3*b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 - (-13 + 8 + 11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -7*g + 12*g - 3*h, 3*g + h = 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 s when two letters picked without replacement from qkksyskskskssx?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - l - 1)*(l - 3 + 3) + (-4*l + 4*l - 2*l)*(-3 + 3 - 3)*(0*l + 3 + 3 - l) in the form h*l + p*l**2 + j and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**3 + 2*j**3 - 460*j**2 + 460*j**2.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 204, 403, 600, 795, 988?\n\"Answer: -c**2 + 202*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420 is divided by 91?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(245)\/sqrt(5))\/(sqrt(7)*2*6).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**4\/12 - 6*d - 5. Let l(o) be the first derivative of q(o). Let f(r) = 2*r. Give f(l(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -932100 to the nearest 10000.\nAnswer: -930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1231 times -3\nAnswer: -3693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-10))\/(2\/25). Let d be 494\/(-36) - 16011\/(-1186). What is the second biggest value in d, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09467 - 0.06567. Put 3, 1\/2, h in ascending order.\nAnswer: h, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 26761\/63 - (-2)\/9. Suppose 12*b - l = 149. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*r + 2*z, 672*r + 3*z - 15 = 676*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 52285 (c) 0.1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzzkvbkkukkkkkvkul. What is prob of sequence zz?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 580*d - 1736. Let o be z(3). What is the third biggest value in o, -208, -2\/11?\nAnswer: -208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -662 from -246219586.\nAnswer: -246218924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8640 and 9450?\nAnswer: 302400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 199829219 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1149543 divided by -383181?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.94 - -0.06. What is the closest to h in -2\/5, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, v: 1, x: 2, p: 1, e: 1, m: 1}. Give prob of sequence xpx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -2 + 0*m**2 + 3\/4*m**4 + 5\/3*m**3 + 0*m. Find the third derivative of i(b) wrt b.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 454*l**2 - 134*l**2 - 147*l**2 - 185*l**2.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9253043 (base 10) to base 14.\nAnswer: 132c159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + b + 3*b - 22 = 0, -4*n + 88 = 5*b. Suppose -n*u - 32 = -23*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) 2\/11 (c) 0.7 (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74 - -75. Let m(l) = -223*l**3 + 111*l**3 - 4*l**2 + 111*l**3 - r - 4. Let f = 4 - 9. Give m(f).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**5 + 308*r**4 - 64800*r**3 - 5834160*r**2 - 25087104*r + 197759232 = 0.\nAnswer: -102, -9, 4, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, a: 2, o: 8, w: 2}. What is prob of picking 2 a?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**7\/84 + 7*k**6\/30 - 3*k**5\/2 + 53*k**4\/12 - 83*k**3\/12 + 6*k**2 - 2701*k. What is q in u(q) = 0?\nAnswer: 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11\/71 + -363\/2698. Find the common denominator of r and 1*13\/(-20) - 3.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**4*z\/(z\/z**(-3\/4))*z**0 assuming z is positive.\nAnswer: z**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39\/22 + 3\/11. Which is the nearest to i? (a) -2 (b) -2\/3 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*2\/8)\/(70941\/200304)?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69059052 to the power of 1\/3, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -0.034.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003130385 rounded to seven dps?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584093653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k + 9*k + 149*k in the form v*k + r and give v.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/(-627) - 3\/(561\/(-5))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -13*b**3 + b. Let m be t(-1). What is the remainder when 16\/m*(-6)\/(-1) is divided by ((-3)\/5)\/((-1)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -189, 3, -7 in decreasing order.\nAnswer: 3, 2, -7, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15597406 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n + 11. Let p(c) = 4*c + 13. Let l(x) = 5*p(x) - 6*w(x). What is l(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -19, 5, -1, 2702, -3, 4 in increasing order.\nAnswer: -19, -3, -2, -1, 4, 5, 2702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3502 = -65*j + 128*j + 40*j for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (2 + 0 - 1). Let f = -8 + 12. Suppose -v*s + 8 = -f. Put -4, s, -5 in descending order.\nAnswer: s, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/1059, -23.5, 0?\nAnswer: -23.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 12) to base 9.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1244 (base 8) to base 15\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-1))\/((-5999)\/(-5142))*21.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27374299 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110010010111100111 (base 2) to base 9.\nAnswer: -1772707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 0)*(1 - 1 + 1)*(s + 0*s + 5*s + (1 + 2 + 0)*(7*s - s - 5*s)) to q*s + d and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 - (7 - (-2 - -7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45180 divided by -3012.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w**3 - 14*w**2 - 5*w + 2. Let v(b) = 7*b**3 + 17*b**2 + 6*b - 2. Let f(l) = -5*t(l) - 4*v(l). Let o = 4 + -6. Give f(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 0.1, 480.9, -0.06 in decreasing order.\nAnswer: 480.9, 4, 0.1, -0.06, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from inzbo. Give prob of sequence nzbi.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from nhjqyhhh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8\/7)*i**(1\/12))\/(i**(-4\/13)*i**(-1\/17)\/i) assuming i is positive.\nAnswer: i**(5699\/18564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6 = -5*v - 47, 2*j = -2*v + 18. Let o be 20\/j*(9 - 4\/2). Let k(p) = p + 160. Let f be k(0). What is the greatest common factor of f and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -230795, -461585, -692375, -923165, -1153955, -1384745?\nAnswer: -1615535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tltv when four letters picked without replacement from {l: 1, t: 9, g: 1, v: 7}?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1631562065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 9:23 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.84971362 to four dps.\nAnswer: -4.8497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/132)\/(620\/2232).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1131887 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -57652*h. Let q(p) = 12*p. Determine j(q(r)).\nAnswer: -691824*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2. Let t(s) = -s**2 + 0*s**2 + 4*s**2 - 6*s**2. Calculate z(t(m)).\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, -2\/1511, 301 in descending order.\nAnswer: 301, -2\/1511, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 10:20 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*o**2 - 3 - 17*o**2 + 125*o + 68*o + 1 - 51*o**2 wrt o?\nAnswer: -236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207, -821, -1845, -3279, -5123?\nAnswer: -7377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2778*k - 100*k + 1306*k to x*k + g and give x.\nAnswer: 3984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10873?\nAnswer: 83, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -545*f + 550*f = 15. Let l(o) be the second derivative of -o**4\/12 + o**3\/2 - 2*o. What is l(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/((-2)\/(-3)). Let b be (h\/1)\/(1*(-4)\/20). Suppose 338 = b*k - 4*z - 2131, -20 = -5*z. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeceeeeeceeeec. Give prob of picking 1 e and 3 c.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 33 - 12*t)*(-3*t**2 + 0 + 0) + 2*t**3 - t**3 + 0*t**3 + 10*t + 3*t**3 - 10*t + 2*t**3 + 0*t + 0*t + (-t**2 + 0*t**2 + 0*t**2)*(-2*t - t + 2*t).\nAnswer: 43*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in 2.8, -2\/15, -7\/4, -2\/7, 100?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3)*5)**2 + sqrt(3) + -1 + 3 + 0.\nAnswer: sqrt(3) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*v + 303 = 0, 5*v + 306 + 5 = 3*r. Suppose -y = -5, 4*y = -4*n + 2*y + r. What are the prime factors of n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2)*-2)**2 + -5*(sqrt(6)\/sqrt(3))**2.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 100 = -q. Suppose 0*p + q = 2*p. What is the highest common factor of p and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 843371941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 111633 to the power of 1\/2, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(12\/54)*(-9234)\/(-2187).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/63, -1053387, 0.07 in ascending order.\nAnswer: -1053387, -2\/63, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.06169 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + (-48 - -6 - -102).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/105)\/(36\/(-135))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 93, -0.01 in ascending order.\nAnswer: -2\/3, -0.01, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s + 2 = 2*i, -3*s - 10 = -2*i. Let c(y) = -i*y**2 - 7*y**2 - 22*y**2 + 7*y**2. Let k(d) = -2*d. Determine k(c(f)).\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 148\/(-28) + (-4)\/(-14). Let d be (35 - 3) + 3040\/(-152). Sort -3, d, g in descending order.\nAnswer: d, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2\/3 (b) 13 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 9 + 1 - 13*u**2 + 13*u - 4 + 12*u**2 + 18*u**2. Let a(r) = -9*r**2 - 7*r - 3. What is 11*a(q) + 6*w(q)?\nAnswer: 3*q**2 + q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7295040 divided by 8160.\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(4\/29)*n*n\/(n*(n*n**1*n*n)\/n))\/(((n**(-5)*n)\/n)\/((n*n\/(n*n*n**15*n))\/n)) assuming n is positive.\nAnswer: n**(-373\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 24 = -2*n. Let c be n\/10*(-12)\/5. Suppose -c*z + 168 = -0*z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*m + 92 = -73*m + 25*h, 2*m = 4*h - 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 4, 4375, -457?\nAnswer: 4375","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 9383606?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43 + 6292\/(-156))*(-2)\/184.\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2105 + 56.0795. Let t = -56 + l. Let p = t - -0.11. Which is the nearest to -3? (a) p (b) 3\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m - 6. Let g be (-33)\/(-44)*16\/3. Let w be u(g). Let d be (-36)\/w*7*-9*2. Round d to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 8 + 6*x**2 + 1 as p*x**2 + s + g*x and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2722034 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 200718 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: Solve 17 = -5*a - 15270*i + 15272*i, -3*a = i + 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 44 = -2*u, -s - 60 = -2*u + s. Let k be (1 - u\/(-4))*14. Suppose -2*f = 3*f - k. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3060690 - 3628545 = -39*r + 2974926. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 366*b - 802*b + 235*b + (2*b - b + b)*(-3 + 1 + 4).\nAnswer: -197*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4481619 is divided by 143.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -459672 and 0.3.\nAnswer: -137901.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*i = -14, -118*m + 113*m = -4*i - 30. Solve -2*d + m*q = 12, 4*d - 293*q = -292*q - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4707582878\/11 + -427676073. Let s = h - 286196. Let c = -189 - s. Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 5. Let m be (3\/4)\/(r\/(-4)). Let b be (9 - 10)\/(-1*7). Put b, 0.3, m in descending order.\nAnswer: m, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49716 and 225408?\nAnswer: 933865344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 4:44 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -0.2, -1\/4, -5, 0.6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1772413 - -550491\nAnswer: 2322904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 63*j + 64*j)*(-4 + 2 + 52*j**3 - 40*j**3).\nAnswer: 1452*j**4 - 242*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(6*(sqrt(84) - sqrt(84)*2) + ((-2*sqrt(84) + sqrt(84))*5 - sqrt(84))))\/(6*3*sqrt(12) + sqrt(12) + sqrt(1200)*-2) + 4.\nAnswer: 4 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, v: 3, h: 1, k: 1}. Give prob of sequence kvv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 - 90. Let a = 38 + m. Solve -a*h - 5*d + 31 = 0, -4*d = h + 3*h - 32 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(684) + 5)**2 + sqrt(684).\nAnswer: 66*sqrt(19) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250 - 254 + 763 - 259 - 250*f.\nAnswer: -250*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6448, 6635, 6944, 7375?\nAnswer: 7928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -125\/3*w + 125\/3*w**3 + 2 - 41\/3*w**4 + 35\/3*w**2 = 0.\nAnswer: -1, 2\/41, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 262*c**4 + c**2 - 30682*c*m**2 - 2*m**2 + 32323*m - 226 wrt c?\nAnswer: 1048*c**3 + 2*c - 30682*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*6\/(-20))\/(2624\/3280).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)\/(sqrt(9) + sqrt(144)) + sqrt(34) - (sqrt(34) + -6*2*sqrt(34)))\/(1*5*-1*sqrt(2)).\nAnswer: -61*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-185*u - 1826 + 1826)*(-2*u + 6*u - 3*u) as v*u**2 + d + t*u and give v.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 9:43 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464*c = 471*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1815.23 weeks?\nAnswer: 12706.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 4*u**2 - 5*u - 10. Let l be v(-4). Is 574\/l + (-1 - 8\/(-5)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 35*n - 21. Give o(-41).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ygygy. What is prob of picking 1 g and 3 y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -195 - -199. Factor -4*r - i*r**4 - 12*r**2 - 7*r**3 - 9*r**3 + 4*r**3.\nAnswer: -4*r*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -16*i**2 + 2*i. Let b(h) = -47*h**2 + 5*h + 1. What is 3*b(w) - 8*l(w)?\nAnswer: -13*w**2 - w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 14*c - 11. Let i be t(1). Solve i*s + 6 = -3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 8 = 2*w, 5*h - 10*w + 11*w - 4 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 569556847 and 454?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 585974663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5329 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 3:44 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 49043.54t?\nAnswer: 49043540000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*x - 4*x**2 - 14*x - 49*x + 15*x.\nAnswer: -4*x**2 - 81*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + -12 + 104 + -135.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(792)\/sqrt(11) + sqrt(18)*3)**2 + -5.\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 0*q**5 - 21*q + 0*q**2 + 3\/10*q**6 + 29\/6*q**3 + 0*q**4 + 0. Find the second derivative of m(p) wrt p.\nAnswer: 108*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25773 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + y**2 - 2*y - 3. Let c(f) = -3*f**3 - 2*f**2 - 15*f + 6. Calculate -c(s) - 2*m(s).\nAnswer: 5*s**3 + 19*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -14. Let m = -7 + c. Let f = 103 + -105. What is the closest to 1\/4 in m, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23265801859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u + 2 = -18*u - 2*l, -3*u - 5*l = 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 - 273\/5. Let -8\/5*v**3 + 0 - 4\/5*v**4 + 6\/5*v**5 + 4\/5*v**2 + k*v = 0. What is v?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 0.06, 683, -0.2, 0.16, -5?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w - 115 + 68 = 181 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(12)\/sqrt(3)*2) - 2*sqrt(3)*-2*2.\nAnswer: 17*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 13. Suppose j*y + 102 = -66. What is the units digit of y\/(-9) - (-10)\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*b + 44 = 7*t, -b + 23 = 3*t. Calculate the common denominator of 3\/t*(-94)\/6 and -23\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*v - 1020 = -3*g, 0 = 2*g - 3*v - 670. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2 + 2 + 4 - q**2. Let l be (-726)\/198 - (-40)\/6. Give p(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/6*20\/(-150)*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-112)*(-56)\/(-42). Factor -q*d**3 - 24\/7*d - 15\/7*d**2 - 12\/7.\nAnswer: -3*(d + 1)*(d + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1567 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1754920 divided by 3005.\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7\/10, 2\/20559, -0.1?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*p - 49886, -3*i + 6147 + 23789 = p. Is i a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 9:38 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*s = 11, -5*r + 33 = -s + 10. Suppose -4*d = -6*d - 3*u + 33, -3*d + 47 = r*u. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(152) + sqrt(152) + (2*sqrt(152) - sqrt(152) - sqrt(152) - sqrt(152) - sqrt(152)) + sqrt(152) + sqrt(152)))\/sqrt(8).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/32 and 133\/174680.\nAnswer: 698720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o. Let a(x) = 5*x**2 - x**2 - x - 4*x**2 + 2*x**2 + 4*x. Let h(n) = -2*n**2 - 2*n. Let c(q) = 4*a(q) + 6*h(q). Determine t(c(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**5\/60 - z**4\/24 - z**3\/6 - z**2. Let x be (10\/(-5))\/(-6)*3. Let y(f) = -f - 1. Give x*y(b) - n(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 374 divide 1711726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**4 - 2*c + 2*c**3 - 7*c**4 - c**3)*(-4*c + 4*c - c).\nAnswer: 7*c**5 - c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 96866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**1)**(11\/2)\/(f**0)**(-28\/9))**14 assuming f is positive.\nAnswer: f**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 5*p + 11. Let m(u) = -2*u**2 + 6*u - 10. Let a(q) = 5*m(q) + 6*w(q). Find the first derivative of a(r) wrt r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253 + 244 - 464 + v.\nAnswer: v + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5054591382 to the nearest integer?\nAnswer: 1716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 2*a - 4 = 12*t, -5*a = -40 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 356 + 604\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -351719, 3, 2?\nAnswer: -351719","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**4\/32 - 27*r**2\/16 - 66*r + 51. Let t(z) be the first derivative of m(z). Determine x so that t(x) = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 12*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -232 - -235. Factor 0*h**2 + 2\/7*h**5 + 0 + 2\/7*h**c + 4\/7*h**4 + 0*h.\nAnswer: 2*h**3*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*n + 24, 0 = -4*q + q - 2*n + 11. Let i(x) = -3*x + 12. Determine i(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 72*d**5\/19 - 23784*d**4\/19 - 2824486*d**3\/19 + 943476*d**2\/19 - 78678*d\/19 = 0.\nAnswer: -93, 0, 1\/6, 423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*v - 8*v + 3 - 6 + 5.\nAnswer: -38*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 14*s = 4, 495*t = 488*t + 4*s + 64 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 - 36*w**2 - 97*w - 2. Let p(x) = -5*x**3 - 108*x**2 - 267*x - 6. Give -11*d(o) + 4*p(o).\nAnswer: 2*o**3 - 36*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 494609413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 68 = -7. Suppose 0 = -4*d - 4*l + 220, -5*d - 2*l + 263 = -3*l. Let k = g + d. Calculate the greatest common factor of 28 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -647 * -0.04498\nAnswer: 29.10206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 5*x - 4. Let z be w(2). Suppose -z*m + 5*i = m - 471, i = m - 157. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011010010010001001000 (base 2) to base 3.\nAnswer: -100111211220222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*y = 63, y = 3*j - 2*y + 129. Let n = j + 65. Suppose -g + 5*u = -0*g + n, 0 = g + 3*u - 15. Solve 0 = -6*l + g*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**2\/7 - 2034*w\/7 - 22011\/7 = 0.\nAnswer: -667, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3. Let y(o) = 9*o**3 - 3. Calculate 4*k(b) - y(b).\nAnswer: -5*b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 12:27 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-74)\/3)\/((-12)\/18)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102330133211 (base 4) in base 12?\nAnswer: -17b6085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 233 (b) -12 (c) 0.1 (d) -0.0126\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-10) + (-12557)\/145 + 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*d + 12. Solve -d*z - 10 = 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -2113230331?\nAnswer: 2113230333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -154826?\nAnswer: -154826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -372, -699, -1026, -1353?\nAnswer: -1680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*o = 2*j - 19, -5*j = 4*o - 151. Calculate the least common multiple of 9 and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + -4 - 0 - -3. Solve 7 = -z*d + 3*b - 2*b, -4*b = -4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7203, 14429, 21657, 28887, 36119, 43353, 50589?\n\"Answer: t**2 + 7223*t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 135597 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d. Let q(h) be the third derivative of -h**4\/12 + 4*h**2. Determine j(q(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o - 4. Let f(z) = z**2 - 13*z - 30. What is the remainder when f(17) is divided by p(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5746, 9332, 13100, 17056, 21206?\n\"Answer: k**3 + 85*k**2 + 3324*k + 2336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 5, -4*n = -0*i - 4*i. Calculate the lowest common multiple of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.6 + 1.3. Let p = 1.2 + g. Let x = 0.8 + -1. Which is greater: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.758772 years to decades.\nAnswer: 0.7758772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5309*w**2 + 33 - 18 - 5300*w**2 - 15.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 2*l + 0*l**2 + 0*l - 2*l. Determine p(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 = -11*i + 1156. Solve -i*a + 60 = -65*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -192 (base 15) to base 3.\nAnswer: -111102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 11*m**2 + m + 27. What are the prime factors of r(11)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 - (-25)\/(-5) - (5 - -1). Let z(h) be the third derivative of -h**5\/30 - h**4\/6 + 3*h**2. Give z(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from fffzflz?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10069 and 1268694.\nAnswer: 1268694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416720 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-111)\/74*-4*(-7)\/168\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 6\/11 (b) -5 (c) -0.6 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -31*v**5\/60 + 9*v**2 + 32*v. Let n(m) = 13*m**2. Calculate l(n(s)).\nAnswer: -5239*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 1312*x + 98. Let m(q) = -2*q**2 - 55*q. Determine h(m(d)).\nAnswer: -2624*d**2 - 72160*d + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 + 5*v - 4. Let d(g) = -g**2 - 5*g + 3. Let h = 0 + 2. Let u(l) = h*t(l) + 3*d(l). Let k(i) be the first derivative of u(i). What is k(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-7) - (-1182)\/(-2758)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ueue when four letters picked without replacement from {e: 5, u: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 95 and 569\/6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kcx. What is prob of picking 2 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -74416*p + 4018503. Give q(54).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4718 and 106492.\nAnswer: 745444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 10 = -5*t - 3*i, -t - 3 = -2*i. Suppose 3*y + 5*p + t - 61 = 0, 3*p - 59 = -4*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2\/5 + 48*s\/5.\nAnswer: 4*s*(s + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v = -1221880 + 1221110 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 2*f**2 - f + 2. Suppose 5*u = 11 + 4. Calculate z(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*b + 8*b - 4, -2*b + 2 = 2*v. Let y = 0 - v. Which is smaller: y or -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 0.4, -4, 2.53?\nAnswer: 2.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = m + 31. Let u = -92 - -66. Let a = m - u. Let c(y) = 13*y. Let d(q) = 7*q. Give a*c(v) - 5*d(v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -0.1 (c) 7 (d) 2\/7 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-8))\/(((-88)\/96)\/11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**4 + 156*i**3 - 39*i**2 - 2064*i - 1872 = 0?\nAnswer: -52, -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14708\/195 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5485*i**2 - 2 + 5481*i**2 + 5478*i**2 + 5466*i**2 - 21892*i**2.\nAnswer: 18*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0*v + 18. Let p = 11 - v. Let l(b) = b**3 - 6*b**2 + 6*b + 5. What is the tens digit of l(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2726020 to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2286)\/21 - (-18)\/(-126). Let i = q - -129. Calculate the highest common factor of 80 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3042.017228 to the nearest integer.\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -22. Let k = 0.44 + q. Round k to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 125 + -581?\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5919070 divided by 31153.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15532 divided by -4.\nAnswer: -3883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -174 divided by 2\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6951*r + 54815. Determine y(-8).\nAnswer: -793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - u**2 + u + 13. Let g = -6 - -10. Suppose 2 = 2*f, -5*f + f + 4 = -g*d. Is 3 a factor of h(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12*10\/(-800)*(-76)\/(-6) and 49\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/4))**49\/(o*o**(-4\/5)*o*o*o**(4\/3)))**(10\/3) assuming o is positive.\nAnswer: o**(-947\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o - 30. Let i be v(7). What is the fourth smallest value in 0.2, 2, i, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + 2 + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + g - 6*g = -35, -b = -4*g + 2. Suppose 11*a = b*a + 63. Does 26 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 79 = 2*w + t, -3*t = 3*w - 120. Calculate the greatest common factor of 451 and w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.4 (b) -15 (c) 3 (d) 0.1 (e) -73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 9 - 6. Let l be 2 + -1 - (-66 - 0). Suppose 0 = -y*u - 2*v + l + 92, u + v = 52. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v**3 - 2*v**3 - 3*v**3 + (-1 + 1 - 2*v**2)*(-2 + 2*v + 2) + 3 - 3 + 3*v**3 + 3*v**3 - 3*v**3 - v**3 + (-14*v - 10*v + 3*v)*(-4*v**2 + v**2 + 5*v**2).\nAnswer: -43*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 157109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5\/5 - 416*a**4\/5 - 21212*a**3\/5 + 8736*a**2 - 4410*a = 0. What is a?\nAnswer: -105, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6300.459 + -6291. Let v = z + -9.4. Let w = -0.0502 + v. Round w to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.83089487 to two dps.\nAnswer: 1.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270729 is divided by 2770?\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -156 - -157. Let z = -552\/11 + 50. Which is the second smallest value? (a) -6 (b) z (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 641995550*b + 2.\nAnswer: 641995550*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35835, -35847, -35877, -35925, -35991?\nAnswer: -36075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27552 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*l + 3167 = 27962 for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooooooosoooook. What is prob of sequence os?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 24 = -4*y - 2*o, 5*y - 21 = -2*o. Solve 28 = -4*b - y*v - v, -3*v = -3*b - 9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2402 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24161258 - 15186719. Let r = j + -15974539. What is r rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1476 and 38376?\nAnswer: 38376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -377.5 - 85.5. Let g = -462.99999388 - b. What is g rounded to seven dps?\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.9 and -429472409.\nAnswer: -429472409.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 1. Suppose -1604 = -12*a - 92. Suppose a*w = 136*w + 10. Let h(z) = 2*z**2 - 4*z + 1. What is w*h(j) + 2*v(j)?\nAnswer: -2*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 170 or -6448.3?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 428 = 5*d, -2*b + 6*b = 3*d - 251. Suppose 2*a = -3*a + d. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/9 + 46*r**2\/9 + 9448*r\/9 + 6232\/3.\nAnswer: -2*(r - 82)*(r + 2)*(r + 57)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 115*(-1 + 7\/5). Suppose -2*n - b = -4*n. Let r(u) = 7*u**3 + u**2 + u - 1. What is the remainder when n is divided by r(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/21924 and 27\/5887.\nAnswer: 635796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*v + 23 = 0, 4*i + 16 = -0*i - 3*v. Let q(g) = g**3 - g**2 + 1. Let y(w) = -33*w**3 - 6*w**2 + 6. Give i*y(n) + 6*q(n).\nAnswer: 39*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25973 - -25973.26577. What is n rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2348\/35 + -334\/5. Let f = -5.08 - -0.08. Let k = f + 8. Which is the second biggest value? (a) i (b) 0.2 (c) -5 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -1\/20*o**5 - 2*o - 15*o**2 - 1\/8*o**4 + 0 + 1\/3*o**3. Give h(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + k + 2*k)*(-224 + 224 - 34*k**3) as i*k + r*k**4 + b*k**3 + v + z*k**2 and give r.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18256 and 295519?\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 + -53. Suppose 4*f + 0*f = 4*k - 192, 0 = -q*k + 3*f + 248. Suppose -7*j + 2*j - 4*p + k = 0, 0 = 4*j + 2*p - 38. Solve 4*u = 2*u + j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1174 = -33*c + 1339 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/6*((-18)\/(-15) + 0). Suppose 15 = t*o, -4*c + 3*o = -573 - 440. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 9 - 3)*(-5*b - b**3 + 5*b) in the form s*b**3 + r*b**2 + d + p*b and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212 = -17*b - 161 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/5, 2010, 10919?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/19)\/p)**(21\/5) assuming p is positive.\nAnswer: p**(-378\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4367 - 3099. Let j = -640 + z. Let h = 628.611 - j. What is h rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21 and 22703531431971.\nAnswer: 22703531431992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*b, -3*b + 190 = 4*i - 79. Let m = -42 - -65. What is the remainder when i is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9305\/18 less than 517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -334*j - 1 - j**2 - 6*j**2 + 11*j**2 + 167*j + 172*j. Let g(d) = 3*d**2 + 4*d - 1. Let i be (0 - 6)*4\/(-6). Determine i*s(z) - 5*g(z).\nAnswer: z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -5, -2, 0, -63, 6 in increasing order.\nAnswer: -63, -5, -2, 0, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**11*g\/g**(1\/3)*(g**(-3))**1)**(13\/8) assuming g is positive.\nAnswer: g**(169\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 347 - 302. Calculate the highest common divisor of 55 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97857.65 millilitres in litres?\nAnswer: 97.85765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 189 and 690168\/3641 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 143\/55 - (-4)\/10. Solve 0 = -x*c + 6*c - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (2 - (-10)\/(-3)). Let v = 1 + c. Let s = 268 + -263. What is the nearest to v in 1\/3, s, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/12 - (9 - 8)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, v: 14}. Give prob of sequence vn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j - 4. Let x be a(-5). Suppose x*h = 16*h + 180. Let i = -34 - h. Which is smaller: i or 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -31, 9\/4, 0.145, -0.4 in descending order.\nAnswer: 9\/4, 0.145, 0.1, -0.4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 15. Let p be y(11). Let h be (-2)\/p*(-1 - -7). Let b(l) = l + 3*l - h*l. Let w(j) = -5*j**2. Determine w(b(r)).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 83207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -20*o + 73. What is b(7)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.790698417 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21434677\/80 + 267945. Let s = p - 58\/5. Find the common denominator of s and (31\/(-7))\/((-10)\/7).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 71871?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (4 - (-3 + 5 + 4))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 2*g - 2*g + 1)*(8 + 18 - 1 - 1 + 3 - 15 + (-1 + 1 + 2)*(-3 + 5 - 3) - 1 - 1 + 3).\nAnswer: -33*g + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -148949.\nAnswer: 29789.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, o: 3, l: 2, c: 4}. Give prob of sequence culu.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/(1*sqrt(1200) + sqrt(1200) + sqrt(1200) + sqrt(1200) + sqrt(1200) - sqrt(1200))*4 - (-4*(sqrt(3)*3 - sqrt(3)) + 0 + sqrt(108))) + -4)**2.\nAnswer: -84*sqrt(3)\/5 + 2923\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104880 and 6135480.\nAnswer: 12270960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 0. Find the third derivative of v + 4*l**2 + 7*l**4 - 4*l**4 - 2 wrt l.\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/395 and 59\/25?\nAnswer: 1975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/5 (b) 27 (c) -2\/9 (d) -9.1 (e) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -4 + ((-65)\/6)\/(-5). Let x = -4 + 4. What is the third biggest value in 3, x, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 - 58*p + 53. Calculate b(-30).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 9. Suppose -f = -0*f + 19. What is the remainder when u(f) is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**2 - 131*n + 25563. Calculate q(73).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2220186926.\nAnswer: 2, 157, 1877, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -363*a**3*g + 2752*a**3 - 36*a*g + 7*a wrt g?\nAnswer: -363*a**3 - 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*z - 4*z + 5*z - 2*z.\nAnswer: 23*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3\/(-5) + (1 - 0)\/(85\/916436)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 57760475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 178 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14300*j + 14304*j = -4*b + 96, 93 = 3*b + 4*j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2.52 + -59\nAnswer: -56.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*h + 86 - 341, j - 48 = -4*h. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36018?\nAnswer: 2, 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/39 or -0.6?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*x + 31 = -18 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -591 + 4136\/7. What is the closest to 2\/7 in 0.6, 2, x?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**2 + 2960*d + 5924 = 0.\nAnswer: -2, 2962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = w - 1, 27*w + 8*g = 29*w - 26 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + a = 21, 2*a + 0*a = -2*k + 6. List the prime factors of 10\/(-1*(k - (-1454)\/(-242))).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-41)\/(-3)*3)\/1. Let f = 100 - c. Calculate the remainder when f is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (119*k - 119*k + 14*k**2)*(2*k - k - 2*k) - 2*k**3 - 3*k + 3*k**2 - 3*k**2.\nAnswer: -16*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00109283 rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 400 and 38288?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-5)*(-45)\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 196\/77 - (-1)\/((-22)\/(-4) + -6)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13343895.4 to the nearest ten thousand.\nAnswer: 13340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 9*l + 125. Let j(h) = -h + 36. Let k be j(8). What is the units digit of q(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 125699096?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 4. Let d = 6 + z. Let h(a) = -10*a - 2. Let p(f) = 7*f + 1. Let k(q) = d*h(q) + 7*p(q). Calculate k(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 10. Let x = g - 16. Let f = 13 + x. Calculate the remainder when 7 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4 = 0, -20531 + 85630 = 3*k + 4*d. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 786.8873 centuries?\nAnswer: 7868.873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 8*p. Suppose p = k - 3*k + 10. Let s = 11999 + -11954. Calculate the greatest common divisor of k and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/170, 4, -1\/3, 1\/2 in decreasing order.\nAnswer: 4, 1\/2, -3\/170, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.3, -2999\/3, 3?\nAnswer: -2999\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*y - 3*y - 14*y)*(-313 - 17*y + 313).\nAnswer: 1071*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 55 = -5*b, -2*o + 6 = -3*b + 26. Let i = b - 8. Let p be (-4)\/(-1 + (i - 3)). Solve -4*n + 3*c + 6 = 0, 0 = -3*n + p*n - c - 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-10.8689.\nAnswer: -43.4756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 551 and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/(-2*(-4)\/4992)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (-10 + -2 + 12 - 12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*239.\nAnswer: -4063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -6) + (-1 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1358.6 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 3*v**4\/4 - 2*v**2. Let f(g) = 47*g**2 + 11*g. Let j(m) = -17*m**2 - 4*m. Let w(d) = 4*f(d) + 11*j(d). What is w(t(b))?\nAnswer: 324*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5488\/1176)\/((-32)\/6).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5453, 5914, 6377, 6842?\nAnswer: 7309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (28 + 14\/(-2)). Let y(o) = -45*o**2 + 18*o. Let b(t) = -13*t**2 + 5*t. What is s*b(j) + 5*y(j)?\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 22*u - 42. Let d be m(-24). Let i(v) = 6*v**2 + 10*v + 5. Let w(n) = -5*n**2 - 9*n - 4. What is d*i(c) + 7*w(c)?\nAnswer: c**2 - 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 54. Let c = s - 24. Solve c*k = -3*a, -k = -0*k - 5*a + 13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 13*p**2 - 59*p - 40. Let y be f(19). Calculate the greatest common factor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4779*m + 4900*m + 43*m**2 - 7 - 4. Is g(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 228 + -223. Suppose -s*y + 5*z - 10 = 0, y - 4*z = -7*z + 18. Is 3 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**5\/20 - 3*u**4\/4 + 5*u**3\/6 - 6*u**2 + 15*u. Let q be t(9). Let v = 69 - q. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**5 - 66*y**4 + 263*y**3 - 210*y**2 - 448*y + 96 = 0. What is y?\nAnswer: -1, 1\/5, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32\/40*(-5)\/(-2). Let m = 6 - f. Solve 2*p = m*p - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92288018 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -1012*l + 1011*l. What is the smallest common multiple of 140 and l?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112521.\nAnswer: 3, 37507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10299 + -7a6?\nAnswer: c7c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -54760079.\nAnswer: -54760078.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 7494*d**2 - 936531*d + 2742120.\nAnswer: (d - 120)*(d - 3)*(d + 7617)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 - 97d76?\nAnswer: -97d5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 16 = 4*o. Calculate the remainder when 28 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + r. Let j = 20.18 - 20. Let w = j + -0.08. What is the closest to r in w, -2\/5, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17 - 0) + 11 + -5. Let t be (-4)\/(l*4)*(-8)\/8. Which is bigger: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -61*r**2 - 58*r**2 + 120*r**2 - 64*r**2 - 17*r**2. Let g(b) = -73*b. Determine w(g(j)).\nAnswer: -426320*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i + 130 = -23*i. Let j(n) = 10*n**2 - n. Let d be j(-1). Calculate the remainder when i is divided by -11*(2\/(-4))\/(d\/66).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -143 + 245. Let s = 73 - 66. What is the remainder when 42 is divided by 3\/s - a\/(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16438\/13665 - 8\/2733. Find p, given that v - 3\/5*p**3 - 3*p + 12\/5*p**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - (-1 + sqrt(52))*-4) + 5 + 2.\nAnswer: 3 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 2*r - 9 - 1, 4*r = -s - 16. Suppose b = 3*b - s. Solve -3*l = g + 9, b*g + l + 2 = -1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 s, and 1 a when three letters picked without replacement from {s: 1, x: 8, k: 5, a: 1, w: 3, z: 2}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7\/32043 + 111707\/192258. What is the common denominator of 3621\/(-540)*1 + 7 and b?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54162)\/(-2832))\/((-3)\/(-8))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*b + 194532 = 2047*b + 287*b for b.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52966?\nAnswer: 2, 71, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*t - 7, -2*r - 2 = -8*t + 6*t. What is the units digit of t + -8 - (-22 - 3\/(-1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 7 - 9 = -4*l, 0 = -3*l + 2*c + 11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56339898 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19512, -20930, -22348, -23766?\nAnswer: -25184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 19308*y**2 - 138*y + 264. What are the prime factors of m(2)?\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101100011 (base 2) in base 8?\nAnswer: -6543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, e: 1, x: 1, v: 1, f: 2}. What is prob of picking 1 v, 1 j, and 1 e?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 182113, 182071, 182029, 181987, 181945?\nAnswer: 181903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five eighths of a micrometer in nanometers?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3451353 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/3 + 2253546*k + 94649324\/3.\nAnswer: -2*(k - 3380333)*(k + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1057 (b) 1 (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -38 + 5*(-2)\/(-5). Let o = -77 - d. Let s = -20 - o. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdfxpdydxdxdpd. Give prob of sequence dp.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 349 - 351 - (360\/100 - 1*2\/(-5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13504 (b) -3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/306 - 166\/34.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 119*w - 2159 - 795 - 1687 for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k**2. Let f(a) = 1054*a. What is f(i(t))?\nAnswer: 4216*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3\/7 (b) -0.49 (c) -0.1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -n + 2*s + 11, -1 = 4*n + 3*s. Let b(g) be the first derivative of 0*g**n + 5 + g - 2\/3*g**3. Differentiate b(u) with respect to u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 4 = -3*w. Suppose -18554 - 12622 = -24*q. Is -2 + 3*q\/w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**4\/3 - 20*q**3\/3 - 35*q**2\/3 + 170*q\/3 - 40 = 0. Calculate q.\nAnswer: -3, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -34. Let d be (-3)\/(-12)*l + 7. Let b be 14\/(-3)*(1 - 25\/d). Calculate the highest common factor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**6\/240 + c**5\/24 - c**4\/24 - 2*c**3\/3 + 8*c**2 + 4*c. Factor q(l).\nAnswer: -(l - 4)*(l - 2)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 + 179. Suppose -3*t + z - 23 = 3*m, t = -3*m + 34. What is the smallest common multiple of 152 and t?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 4*i - 2*n, -3*i - 24*n + 27*n - 21 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (15 - 6) + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -1256733*x**3\/2 - 20107725*x**2 - 160861728*x + 768 = 0. What is x?\nAnswer: -16, 2\/418911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 - 10.92. Let w = -21 - -34. Let i = w + x. What is the nearest to 0 in i, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5284*p = -2138*p + 185614 for p.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13, -201, -577, -1147, -1917, -2893, -4081, -5487?\n\"Answer: -l**3 - 88*l**2 + 83*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -11. Let i = -3 + j. Let d = -4\/25 - -86\/225. Is d at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 2046*z + 813348.\nAnswer: -2*(z - 1329)*(z + 306)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n - 2. Suppose 4*f = 3*m - 35, 0 = -3*f + f - m - 15. Let d be (f - -12) + (-1 - 6). Calculate k(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2736) + sqrt(2736) + -1 - (sqrt(171) + -1*sqrt(171))) + (sqrt(475)*1 - (4 + sqrt(19) + -1)) + -1.\nAnswer: -3 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -7948*p + 39776. Give a(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**2. Let o(z) = 25*z - 6680. Calculate o(k(d)).\nAnswer: 125*d**2 - 6680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 3 - 20 - 8*w - 5*w**2.\nAnswer: -5*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90 + 45. Let v(w) = -2*w**2 + r*w**3 - 1 + 0*w**2 + 4*w - 29*w**3. What are the prime factors of v(1)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -7 - 7. Suppose -5*u = -n - 6. Let d = 4 + -8. Sort u, d, -3\/4.\nAnswer: d, -3\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j**3 + 2*j**3 + 0*j**2 - 6*j**2.\nAnswer: 2*j**2*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 794084 and 53334?\nAnswer: 7146756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 3, 4, 21, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17 - -15) + (-3)\/(6\/(-22)). Is -69 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -13*t**2 - 1014*t + 22. What is j(-78)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19499 rounded to 2 dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5312866, 5312921, 5312976, 5313031, 5313086?\n\"Answer: 55*a + 5312811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1631 or 1222?\nAnswer: 1222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -16. Suppose 5*b + 4 = 2*m - m, w = -5*m + 5*b + 20. Suppose 0 = -m*s - s + 150. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 22*d - 116. Let v(a) = -a**2 - 7*a + 41. Let n be v(-10). Is q(n) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 117*m - 24*m + 79*m - 240*m.\nAnswer: -302*m + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*t - 390, 3*f + 411 = 6*f + 5*t. Suppose 0 = 3*k - 5*k - 4*d + 274, -f = -k + 3*d. Does 28 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + (sqrt(720) - (-4 + sqrt(720)*1 + sqrt(720))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven eighths of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 * 1.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -59220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 5\/2)\/(((-7830)\/12)\/15 - 28)?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -747*h*i**3*s - 1906*h*i**2*s - 40*i**3*s - 2*i*s - 27549*s wrt h?\nAnswer: -747*i**3*s - 1906*i**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4 = 5. What is the tens digit of (w + 1)*11\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**5 + 1480735*z**4 - 41458120*z**3 + 432340460*z**2 - 1989931200*z + 3411290880 = 0. What is z?\nAnswer: 6, 8, 296119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**3\/3 + 9*y**2 + 19*y - 7856. Give h(-9).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 2, z: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.40833984 to 3 decimal places.\nAnswer: 50.408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -319, -167, -19, 125, 265?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142319 is divided by 598.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 s, and 1 h when four letters picked without replacement from nsrhrn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfd when three letters picked without replacement from fdsd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 5*p**2 + 6*p + 6. Let x(l) = -l**2 + l + 12. Let j be x(0). Suppose 2*d = -d - j. Let s be t(d). Put s, -4, 5 in descending order.\nAnswer: 5, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-5)*d**(-2\/5)*(d\/((d*d**1*d)\/d))\/(d*d**(2\/13)) assuming d is positive.\nAnswer: d**(-426\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f + 2. Let a be o(0). Suppose -5*q - 19 = -n, a*n - 3*q = 7 + 3. Sort n, -5, -4 in descending order.\nAnswer: n, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124 + -220. Let k = g + 11. Let u = 84.9999957 + k. What is u rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 106, 229, 348, 457, 550, 621, 664, 673?\n\"Answer: -b**3 + 4*b**2 + 118*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -737, -963, -1341, -1871, -2553?\n\"Answer: -76*m**2 + 2*m - 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -19, -13, -2\/15 in ascending order.\nAnswer: -19, -13, -2\/15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157419960 divided by 2270.\nAnswer: 69348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4*i - 8, i = -0*i. Let t be 4\/(-10) + y\/10. Let f be (-1 - (-4)\/10) + ((-1070)\/50 - -37). Solve t*b = -5*b + f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*t - 68289 = 100*t - 368*t - 485*t for t.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 957643897?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -2979?\nAnswer: 1\/993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 27. Let q be o(-27). Suppose 0 = -2*l - 0*l + 4*a - 30, q = -4*l - 4*a. What is the third smallest value in -1, -0.5, l, 3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**5\/5 - 5*a**4\/12 - 5*a**3\/6 + a**2 - 2*a. Let m(r) = r**3 - r**2 - r + 1. Let d(n) = j(n) - 3*m(n). Give d(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 10073 = -5*a, 2*a + j = -4*j - 4033. Calculate the remainder when 6*4\/(-60) + a\/(-10) is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h. Let s(l) = -14*l + 7. Give s(m(b)).\nAnswer: 28*b + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -152015257?\nAnswer: 8\/152015257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**6\/120 + 7*i**5\/60 + i**4\/4 - i**3\/6 + 2*i**2 - 3*i. What is k(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 711 + 2097 = 0. Is 40 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -984 and -5?\nAnswer: 4920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 31*r**2 - 159*r + 28. Give i(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 452.8545 months?\nAnswer: 3.7737875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 6*j. Suppose -3*v + 4*v = j. Suppose -2*z - z + 171 = v. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1037 - 845. What is the lowest common multiple of a and 216?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 11 + 29 = 0. Suppose 0 = -5*q + 2*y + 61, q - y = v*y + 3. Calculate the remainder when 88 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 51*j**2 - 166*j + 184. Calculate the remainder when y(-54) is divided by 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2136832003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2213*l = 2216*l - 3. What is the nearest to l in -1, 1, 5, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -3 - (6 + 12 + -15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = -4*q - q + 5*p, 0 = 2*q + p - 76. Let n = q + -31. Let b be 4\/n + (-13)\/(-3). Which is bigger: 3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 370 + 314. Let i = -615 + z. List the prime factors of i.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 2, 0 = -2*g - 29*d + 31*d + 4 + 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 15 - (-3 - -3 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2799?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 22*x**2 - 2*x - 2. Let s(k) = k**3 - 6*k**2 + 6*k - 1. Let u be s(5). Suppose 0 = u*w + 5*r + 44, -w = 3*r - 0*r + 18. Is d(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 11*f**2 - f + 12. Let a = 74 + -63. Let k be o(a). Which is smaller: 1\/46 or k?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138 (base 12) to base 5.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 3\/(12\/16). What is the remainder when 296 is divided by m\/((-4)\/(-36) - 0)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1800395 is divided by 600125?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 30736, 61469, 92198, 122923, 153644, 184361, 215074?\n\"Answer: -2*y**2 + 30739*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -914.\nAnswer: -5\/914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -586*b + 121*b = 4185 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 278 = 6*z + 3*h, 3*z + 3*h - 840 = 0. Suppose -s - 2*m = -z, s + 2*m - 6*m - 257 = 0. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**3\/3 + 5*a**2\/2 + 4*a + 3. List the prime factors of i(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*r = -4. Calculate the greatest common factor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**2 - 7*y - 8. Let j be b(-7). Let o = j - -740\/7. What is the second smallest value in -3, -0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/4850720 and 83\/2562.\nAnswer: 14552160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -49. Let o be t - (-5)\/((-20)\/(-96)). Solve -2*l + k + 4*k = o, 4*l - 2*k = -24 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 46, 2335 in decreasing order.\nAnswer: 2335, 46, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.253 + 0.223. Is 4 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 10:59 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 214 - 212. Let i be (-27)\/(-6)*(-2)\/(-3). Let k(x) = 0 + i + d*x**2 - 3. Let c(y) = -2*y. Give c(k(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((((sqrt(132) - (sqrt(132) + 4*sqrt(132)*1))*-1)\/(-4*sqrt(72)\/sqrt(54)))**2 + 0).\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from naaannaana. Give prob of sequence ann.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201 + 2012?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - -5. Differentiate -27*d - 4*d**2 + r*d - 4 wrt d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -13*m**2 + 6*m - 9. Let o(k) = -9*k**2 + 4*k - 6. Determine -5*i(d) + 7*o(d).\nAnswer: 2*d**2 - 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*u = -6. Suppose -g + u*y - 12 = 0, -3*y + 8 - 2 = -3*g. Suppose 22 = g*o + 5*v, 4*v = -o + 5*o - 8. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*p + 10 - 37, 18 = 2*p + 4*g. Suppose -3*u - 12 = -x - 0, 4*u + 3*x = -16. Let c = u + p. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25, -28, -33, -40, -49?\n\"Answer: -q**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1000) + sqrt(1000))\/(-4*2*sqrt(5)) - ((sqrt(66)\/sqrt(3))\/sqrt(11) - sqrt(16)\/sqrt(288)).\nAnswer: -55*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 5*k**2 + 4*k + 6. Suppose -5*u + 6 + 9 = 0. Let r(m) = 2*m + 2. Calculate the least common multiple of r(u) and g(-6).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 4. Do 19 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -511\/2 - -254. Which is the fourth biggest value? (a) -1 (b) 5 (c) v (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -175 + 165. Let i = 15 + k. Solve 8*z - 6 = i*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33485915 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 - 116. Let g = v + 123. Let t(d) = -11*d - 33. Let u be t(-18). What is the greatest common divisor of g and u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 3)*(-2*f**2 + 2*f**2 - f**2) + 26*f**2 - 12*f**2 - 4*f**2 - 3 - 4*f**2 + 3*f**2 + 4)*(6*f - 2*f + 4*f).\nAnswer: 56*f**3 + 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 0, -26 in decreasing order.\nAnswer: 1, 0, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 9 - (3 + 3 + -1 + (-74 - -66)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 3 = 5*k - 4*k, -5*k = 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/16)\/b**(9\/4)*(b\/b**(-3\/8))\/((b\/b**(-4))\/b))**(7\/2))**(-1\/23) assuming b is positive.\nAnswer: b**(539\/736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f + 2*u = -5*f + 13, -2*f + 5*u = -20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/1 - 6\/(-3). Let h = 0 - v. Let z be -2 + (-1 - h - 0). Which is smaller: 2\/21 or z?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 466, 924, 1372, 1810?\nAnswer: 2238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -114039*z**4 - 260681 wrt z.\nAnswer: -456156*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(2\/87))**(2\/5))**(-48))**(-6\/11))**(3\/8) assuming u is positive.\nAnswer: u**(144\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/3)\/(-2)*408\/136.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10105 (base 6) to base 5.\nAnswer: -20322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.24 (b) -106 (c) 267\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1861 - -1867. Which is smaller: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 5:14 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7.5536+-157.811935\nAnswer: -165.365535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*h - 4 + 4 = 0. Let z(y) be the second derivative of -5\/6*y**4 + 0*y**3 + h + 7\/2*y**2 + 6*y. What is the first derivative of z(b) wrt b?\nAnswer: -20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -3. Let z = -149 + 161. Let x = 2.936 - -0.064. Which is the second smallest value? (a) x (b) g (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -58*d + 758. Let g be v(13). Suppose 20 = a + 3*a. Let 0*n - 3\/5*n**a + 6\/5*n**g + 0 + 3\/5*n**3 - 6\/5*n**2 = 0. Calculate n.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**3 + 14990*a**2 - 664855*a + 1269790 = 0.\nAnswer: 2, 43, 2953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 222*x + 18. Let r be q(-1). Let m = 189 - r. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24477, -5, 1\/8, 1\/2 in decreasing order.\nAnswer: 24477, 1\/2, 1\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 722483670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 11*l - 76. What is the greatest common factor of 171 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -9*w. Let n = 149 + -147. Let u(g) = -n*g + 4*g**2 + 4*g**2 - 19*g**2 + 3*g**2 + 2*g**2. Calculate u(v(m)).\nAnswer: -486*m**2 + 18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -1.35.\nAnswer: -0.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-8)*1596\/(-399)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + -1 - (-15)\/8. Let x(o) = -974*o - 7791. Let p be x(-8). What is the nearest to 0 in p, -1.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -131 - -155. Let z be (-45)\/(-6)*(-2)\/(-9)*c. Suppose z*m = 37*m + 432. What is the highest common divisor of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 6804 = 126*q, -879*f + 878*f = 0 for q.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00137 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -10098 smaller than -784?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -62, -92?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 17*v - 6. Let a(l) = -l + 1. Let r(g) = 28*a(g) + 4*j(g). Let b be r(1). Let i(w) = 8*w. Let z(p) = -p. Give b*z(c) + 6*i(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x = 9*x - 1496. What is the third derivative of 28*k**2 - x*k**4 + 10*k**4 + 2*k**6 + 67*k**2 + 25*k**4 wrt k?\nAnswer: 240*k**3 - 792*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkk. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 44 + ((-14)\/42 - (-1225)\/75)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005129547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -2\/25, -2\/5, -4\/7, 0.3 in increasing order.\nAnswer: -4\/7, -2\/5, -1\/5, -2\/25, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1966285496637 + 2\nAnswer: 1966285496639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-144)\/27)\/(((6\/(-5))\/2)\/(1080\/(-200)))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (684 - 4*q + 562 - 2137 + 607)*(q - 2*q - q) as u*q**2 + c + a*q and give a.\nAnswer: 568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1111668 seconds in microseconds?\nAnswer: 111166.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, o: 2, b: 2, c: 1, z: 6, r: 3}. Give prob of sequence zrrr.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**8*c)*c)\/c*c)**(-5\/11)*((c**(-11)*c*c)\/c)\/((c*c**41)\/c) assuming c is positive.\nAnswer: c**(-526\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.986 + -0.014. Let z(g) = -2*g**3 - 2*g**2 + g + 1. Let v be z(-2). What is the second biggest value in -1\/9, i, v?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22*7)\/(((-1892)\/2365)\/((-6)\/(-15)))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 704 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22814851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/16)\/(24\/(-64)). Let a(s) be the second derivative of -s**3\/3 + s**2\/2 + s. Let v(y) = -2*y + 2. What is g*a(w) + 3*v(w)?\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.985 - -22.985. What is the third smallest value in 11\/4, z, -2\/7, -5\/4, -4\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -715 - -727. Solve 5*y + j = 3*f - 7, -y + 2*f - 1 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from malwwm. Give prob of sequence wlm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 5705*w**3\/6 + 2863*w**2 - 5604*w. Find the first derivative of k(m) wrt m.\nAnswer: 5705","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.18 + -0.22. Sort i, -0.3, -1\/7.\nAnswer: i, -0.3, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/10*10\/(-66). Let q(d) be the second derivative of 0 - x*d**3 + 0*d**2 + 1\/165*d**6 + 1\/110*d**5 - d - 1\/66*d**4. What is m in q(m) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66325\/368136 + -2\/5113. What is the common denominator of 19\/3176 and o?\nAnswer: 28584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 8 = -4*q, c - 14 = -2*q + 6*q. Suppose 5 = -t - c. Let x(u) = -u**3 + 3*u + 4. Let a(v) = -2*v**3 + 5*v + 7. Determine t*x(z) + 4*a(z).\nAnswer: -z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2222 + 1002221?\nAnswer: 222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00139662 to five decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002088 to seven decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}