diff --git "a/data/dm_maths/full_data_1/1099_11255.jsonl" "b/data/dm_maths/full_data_1/1099_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1099_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What comes next: -449, -584, -709, -818, -905, -964?\nAnswer: -989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/22 and (-18)\/10 + (-24)\/(-32)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**8\/252 + 2*v**7\/105 + v**6\/45 - 2*v**5\/45 - v**4\/6 - 2*v**3\/9 + 5*v**2. Determine i, given that x(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 - 77*d + d**3 + 39*d - 2 + 40*d + d**2 as j + p*d**3 + t*d**4 + g*d**2 + y*d and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*k - 4, 30 = 5*i + 8*k - 3*k. Let q(v) = v**3 - 6*v**2 + v - 8. Is q(i) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/28)\/((-2)\/14). Let p be ((-884)\/8)\/((-1)\/n). Suppose t = -4*f + p, -t + 245 = -f - f. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 - 41. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + y + 42. Let d be 0\/(-5 + 3 - -1). Let r be n(d). Let k = r - 44. Which is greater: k or -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 28 - 27. Let z = 80 + x. Calculate the remainder when z is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, l: 6, z: 1, c: 2}. Give prob of sequence cw.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54257.\nAnswer: 7, 23, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 2*4)\/1. Let m = j - -13. Suppose 0 = -5*n - w + 3, 0 = n - 3*n + m*w - 12. Do n and -2\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 - (-16 + 2) - (-9 + 1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1228 - 1147.3. Let s = -81 + z. Which is smaller: 29 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 61456 and 414.\nAnswer: 553104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 2\/3, 3, 1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -16. Let p = -4 + f. Let i be (9\/p)\/((-3)\/(-4)). Solve -v - v - i = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (1 + 0 + -27 + (-4)\/(-4))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 640 by 40.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**2\/7 - 71410764*c\/7 - 1274874303765924\/7 = 0?\nAnswer: -35705382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*v = -12, -2*f = -3*f + 4*v - 16. Let k = -1\/5 - f. Let p be (-6)\/(-28) + (-1)\/2. Which is the biggest value? (a) k (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 2:09 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1329647 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhsh when four letters picked without replacement from {u: 5, s: 1, d: 5, o: 1, y: 1, h: 4}.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2580\/160)\/(135\/(-360)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5771?\nAnswer: 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1596*n - r + 2 = -1595*n, 2*n + 4*r + 3*r - 44 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*o + 21*o - 9*o)*(275*o - 111*o - 81*o)*(-2*o + 2*o + o**2) as m*o**4 + h + z*o**2 + g*o**3 + f*o and give m.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1*o)**(-21))**(-14\/3)\/(o\/o**9*o\/(o*o**(-8))*(o\/(((o*o**3)\/o)\/o)*o)\/(o\/o**(2\/5)*o*o)) assuming o is positive.\nAnswer: o**(993\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 443, 922, 2217, 4736, 8887?\nAnswer: 15078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 363.76047 rounded to 1 dp?\nAnswer: 363.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-4)\/(-16)*(-427)\/(-3416).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -6. Let a be ((-186)\/(-48))\/((-9 - -10)\/2). Which is bigger: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -262479*t - 2. Let v be p(1). Let w = v - -5562481. What is w rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -141091227*y**2 + 94471288 wrt y.\nAnswer: -282182454*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 4*o = 12, 3*p = 5*o - 11857 + 11855 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(20\/9)\/t**(-2\/71))\/(((t*t**(-6)*t)\/t)\/t)**27 assuming t is positive.\nAnswer: t**(104956\/639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 840 = 2*o. Suppose b = 6*b - o. What is the greatest common factor of 28 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i**5*u + 68*i**4*u**2 + 3*i + 33*u**2 wrt i.\nAnswer: 60*i**3*u + 816*i**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.90248 minus -53536?\nAnswer: 53520.09752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -14273.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11725\/(-8375))\/(14\/(-48))?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -4 (c) 8.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -760435, -760436, -760437, -760438?\nAnswer: -760439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -89468280 to the nearest one million.\nAnswer: -89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 44*q - 5. Let x be d(2). Suppose -2*l + i = -l - 31, -2*l - 5*i + x = 0. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2359\/1004 at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1599158 and 12.\nAnswer: 9594948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n**2 - 2*n**3 - 2*n**2 + 3*n**3 + n**3.\nAnswer: 2*n**3 + 13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 27, 2 in increasing order.\nAnswer: -2, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-5 - (0 - 2)) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 319704 by 7266.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2423 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*k)*(-2 + 0 + 0) - 6*k + 3*k - 9*k + 97*k - k - 3*k to the form l*k + t and give l.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4312, -4158, -3992, -3808, -3600, -3362, -3088, -2772?\n\"Answer: a**3 + 147*a - 4460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*g + 217 = -8*g + 149*g. Let s = 186 - 2044\/11. Which is the fourth biggest value? (a) 0.1 (b) 13 (c) g (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58116723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/7)\/((-5)\/70). Suppose -8*n + y*n + 60 = 0. Suppose -3*t + n = 5*d - 12, 28 = 4*d - 4*t. Calculate the greatest common divisor of d and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y - 2. Let z(a) = a**2 + 6*a + 4. Let x be z(-5). Let i be (0 + -3)*x\/1. Let n be j(i). Calculate the greatest common divisor of n and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-48 + -1 - (-24 - -30)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 226601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22 + -1704?\nAnswer: -1726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -11. Let t(q) be the third derivative of 0*q - 2*q**2 + 1\/6*q**o + 0*q**5 + 0*q**6 + 0 + 1\/105*q**7 + 0*q**4. Differentiate t(u) wrt u.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*o = 16, -15*m - o - 9 = -18*m. Solve 2*a - 6 = m*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -19137785 and -247847.\nAnswer: -19385632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -624*r*v**4 - 3*r*v - 22*r - 253*v**3 + 185*v - 3 wrt v?\nAnswer: -7488*r*v**2 - 1518*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2814 and 570.\nAnswer: 267330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -73 or 1613132?\nAnswer: 1613132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2092607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25aa - -8?\nAnswer: 25b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5064.5 * 4111\nAnswer: -20820159.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123521631.\nAnswer: 3, 41173877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 85283724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-10 - -12 - (-2 - 0))) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*v - 4 = 47*v. Let z(f) be the second derivative of f**3\/6 + f**2\/2 + 2*f. Suppose 5*s - 8*s - 9 = 0. Let w(b) = -b - 1. What is s*z(d) + v*w(d)?\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7*y + 6. What is g(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmmdnvddmdndd. Give prob of picking 2 m.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0069059159 rounded to four decimal places?\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76 + 116. Suppose -3*j - 3*c + 0*c = -42, 0 = -3*j + 3*c + 66. Let i = j + -8. Calculate the highest common divisor of i and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 35, 54, 77, 104, 135, 170?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-1) + -2 - 2. Suppose 3*c = c + 14. Let s = y - c. Solve 3*z + 0*j - 2*j - s = 0, -j - 1 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/sqrt(8) - sqrt(5)) + -1.\nAnswer: -1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -23, -43, -71, -107, -151?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1301002002 (base 4) in base 13?\nAnswer: 132969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, g: 13, k: 1, c: 3}. Give prob of sequence cg.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0.1, 129, 16 in decreasing order.\nAnswer: 129, 16, 0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**2\/2 + 3. Let c be 4\/14 - (-2124)\/14. Let u(o) = -152 + o**2 + c. Determine a(u(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228297 is divided by 3085?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112196153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-7) + 4939\/7. Let x = 713 - a. Solve -11 + x = 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 150 + -122. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a kilometer in meters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 - 9*y**3 - 5*y**3.\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, 19.\nAnswer: 5, 10, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/19 - -35\/152. Let t(p) be the second derivative of 1\/12*p**3 + 0 - z*p**2 + 2*p - 1\/48*p**4. Factor t(j).\nAnswer: -(j - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-4 + -3*5\/(-6)). Suppose k - b + 3 = 0, -3*b + 8 - v = -5*k. Is 3\/7 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 607 = -5*y, 5*r = -y + 6*y + 755. Suppose 2*s + 0 + 2 = 5*q, 3*q = 4*s - 10. Suppose 3*v + r = q*z + v, z = 2*v + 69. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.1 (b) -2 (c) 18\/5 (d) 5 (e) 1.1 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35900?\nAnswer: 2, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 8:11 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.1137, 5, -0.3, 0, 13, -2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zahzpzazdeppz. What is prob of picking 1 a and 1 z?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32.42 - 1.42. What is the smallest value in -4, 0.3, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -957*s + 959*s = -10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -446*w + 432*w + 15 + 27 as v*w + j and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Let s be 3*4\/42 - 9610\/70. Let m = 145 + s. Solve -5*k + a*t - 1 = -m, -4*k = 2*t - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-3 - -7) + -1 + 2) - -14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 266657 <= 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 25 = -3*h. Let u be (-8)\/((-64)\/36) - h\/(-4). Find the second derivative of 31*v**2 - 36*v + 8*v**u - 36*v**4 - 31*v**2 wrt v.\nAnswer: -336*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t + 7*t - 2*t**3 + 0*t - 3*t as d*t + x*t**2 + b + s*t**3 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 0.3, -1983, 2\/9, -2\/9, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, t: 1, m: 1, r: 2}. What is prob of sequence ortm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(3 + 6 + 9)*(-4*x**2 + 5*x**2 - 2*x**2 + (-2 + 2 - 2)*(3*x - 3*x + 2*x**2) + 3*x**2 + x - x - 143*x + 12*x**2 + 143*x).\nAnswer: -360*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 266932.\nAnswer: 5\/266932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 10*f - 1. Let d = -48 + 56. Calculate i(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 570369, 1140931, 1711493?\n\"Answer: 570562*a - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5)\/x**(-4))\/(x**1\/x**(3\/2)))**12 assuming x is positive.\nAnswer: x**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69*4\/(-48) + 6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 12:20 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -58*u + 2. Let y be n(-3). Let m = y + -124. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + h, 28*i - 23*i - 3*h = -44 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -111*p + 120*p. Let z(m) = -m**2 - 2*m + 1. What is z(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 6:42 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2873*k - 7 - 2835*k + 7.\nAnswer: 38*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + (0 - 6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 10, -0.0469, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*a + 13. Let w(s) = -s**2 + 4*s + 3. Suppose 5*k - 8 = 3*k. Let b be w(k). Solve -2*c = a - b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0059 - -7.9941. Let g = -0.2 - -0.1. Which is the third smallest value? (a) i (b) g (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12995 and 339?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21615154 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -0.9. Suppose 2*j + j + n = 552, 4*n = 3*j - 537. Let f be (j\/63)\/(-1) + 3. Which is the second biggest value? (a) f (b) 1\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830571104 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70881475?\nAnswer: 5, 7, 405037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -13*l + 56 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60773?\nAnswer: 60773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2154182302 to the nearest integer?\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/3)\/(((-4)\/(-1))\/2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2\/25 (c) 0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 0. Suppose -5*t + 15 = -5*a, -6*a = -v*a. Let z(j) = -1 - t + 3*j + 3 - j**3. What is z(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -3*t - z - 52, -44*t - 5*t - 2362 = -3*z + 290 for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2\/53 (b) -3 (c) 0.1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4*o + 11, 0*j + 4*o - 17 = -3*j. Factor 26*f**3 + 8*f**2 - 30*f**j - 32*f**4 + 0 + 0 - 20*f**5.\nAnswer: -4*f**2*(f + 1)**2*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 3. What is s(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*r**3 - 1958*r**2*t**2 + 3*r + 199*t**2 + 25 wrt r.\nAnswer: -18*r**2 - 3916*r*t**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 10. Let b(f) = -5*f**2 - 59*f + 17. Let n be b(-12). Let k be (-16)\/4 + n + 3. What is the nearest to 0.1 in 1\/6, z, k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2624 and 8938.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 24*l + 81 = -26*l, 5*x = 4*l + 131. Solve 2*q + x = -4*v - q, -14 = v + 2*q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49595 is divided by 49578?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 85729740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*b + 3*r + 1, -5*r = 4*b - 32. Let x = -7 + 11. Let y = x - 0. What is the lowest common multiple of y and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -480, -290, -116, 42, 184?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 - 3*l + 64 + 4*l - 64 to the form i*l + d*l**2 + z and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -176, 215, 864, 1771, 2936, 4359?\n\"Answer: 129*m**2 + 4*m - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -196894.4 times -3.7\nAnswer: 728509.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 83013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.641058 to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/9? (a) -2\/5 (b) -2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115520030 to the power of 1\/3, to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -99, -121, -141?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 5 + -3 + 6 + -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 299205 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + -172 + 176?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + 5. Suppose -17*h + 10*h = -84. What is the remainder when a is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -12, 1 in descending order.\nAnswer: 3, 1, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2. Let p(q) = -147*q. What is p(m(c))?\nAnswer: 294*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 1e9?\nAnswer: -1ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -28 + 73. Suppose -3*r + v + 59 = 0, -3*r - 2*v - j + 53 = 0. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2 - 3*p**2 - 4*p**3 - 3*p**2 + 5*p**3. Let b = -22 + 28. What is the smallest common multiple of g(b) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2792429262 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 0*l**4 - 7\/6*l**3 + 4*l**2 + 0*l**5 + 3\/70*l**7 + 0 + 0*l**6 + 0*l. Find the first derivative of j(p) wrt p.\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-2))\/3*(-14)\/(-42)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -102522, -206159, -309794, -413427, -517058?\n\"Answer: h**2 - 103640*h + 1117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-188)\/(-7) + (-9)\/(-63). What is the highest common divisor of 18 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116 - 74. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 530013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 243 + -156. Let o be -1 + 5*(3 - 6). Let s = o + f. Does 32 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 525 divide 260485575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116264015.\nAnswer: 5, 7, 474547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*m + 53, 3*m = -a - 3*a - 107. Let s = -24 - m. Is 1\/(s - 4)*487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*c - 11, c + 5*t + 21 = 5*c. Let l(k) = -k**2 + k**3 - k**2 - 6 - 5*k + 3. What are the prime factors of l(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (324\/63)\/(121\/(-77)). Sort r, -0.4, -1, 5 in decreasing order.\nAnswer: 5, -0.4, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954037 is divided by 1037?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (-2 + 12\/(-3)). Let s be (-1)\/(0 + -4*1). Determine t so that 0 - 1\/4*t**3 - s*t + 1\/2*t**f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -278*5.\nAnswer: -1390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1739.886 + 1783.6. Let c = l - 40.1079. Let f = -3.6 + c. Round f to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 9. Suppose y*i - 5*f - 341 = 0, 4*i = 5*i - 3*f - 170. Does 23 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -5*i**5 + 25*i**4 + 810*i**3 + 3470*i**2 + 2075*i - 6375 = 0?\nAnswer: -5, -3, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p - 4*p + 2*p)*(-2*p + 5*p - 5*p)*(3 + 3 - 4) - 2*p**2 + 2*p - 2*p - p + p - p**2 to b*p + w*p**2 + r and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 0. Let o = -3.8 - 1.2. Let w = o + 7. What is the second smallest value in a, w, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -8*u**3 - 5*u**2 + 148*u + 135. Let k(a) = 3*a**3 - 59*a - 54. Let s(i) = -5*g(i) - 13*k(i). Calculate s(-24).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -18 + (8 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1. Let h(d) = d - 4. Suppose -4*r = -3*o - 25, 4*r + o - 5*o = 20. Suppose -7 = -4*s + s - 2*j, -r = -2*j. Give s*h(k) - 6*g(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 6. Let t(u) = -2*u - 12. Let o be t(-10). Let z be n(o). Let j = z - -14. Solve j = -3*x + x - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 (base 9) to base 15\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(32\/(-384)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -27, -5, 7, 3, -23, -77, -165?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 39*k - 14. Let d be r(-6). Suppose 8*a - 6*a - d = -4*n, -a - n + 2 = 0. Solve 5*w - a*q + 17 = 8*w, -3*w = 5*q - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2325 and 11129775?\nAnswer: 2325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89\/2 - (-4)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -297 - -1205. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5305\/174 + -1\/87. Suppose 9*t + 30 = 4*t. Calculate the common denominator of t\/(-8) + 107\/44 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -34. Which is the smallest value? (a) -0.1 (b) 5 (c) 1 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - u + 2 = h, -3*u = -5*h + 78. Solve 4*v - h - 2 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) 1 (c) 1\/2 (d) 14\/9 (e) 1\/3 (f) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 78.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -3*q**7\/7 + 40*q**6\/3 + 5*q**4\/4 - 203*q**3\/3 - q**2 + 5*q + 8711. What is the third derivative of k(w) wrt w?\nAnswer: -360*w**3 + 4800*w**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/63 + -23\/63. What is the third smallest value in -0.5, 0.2, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4*d - 104. Suppose 9*k = 7*k - d. Suppose -3*q - 70 = -2*n, 4*q + 4*n - 14 = -134. Is k > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7629 rounded to 1 dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1601056640 to the power of 1\/2, to the nearest integer?\nAnswer: 40013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 - 317*p + 12874. Calculate i(-192).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/581, -9, 13\/7 in decreasing order.\nAnswer: 13\/7, 2\/581, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-25))\/(4\/(-10)). Let u(q) = -q**3 + 7*q**2 - 3. Let j be u(7). Which is the biggest value? (a) d (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 16*s**3 + 2*s**2 - 1. Suppose 5*f + 3*w + 4 = -10, 0 = 4*f + 4*w + 16. Let a be j(f). What are the prime factors of 2\/5 + (-54)\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -497686.1 to the nearest one hundred.\nAnswer: -497700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*a - 90, 0 = 3*a + 70*t - 73*t - 33. Solve -5*x + 3*s = a, -s + 0*s - 28 = 5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - -2*sqrt(243)*5 - sqrt(243) - (((-2 + sqrt(243))**2 - sqrt(243)) + -4)) + -2.\nAnswer: -245 + 135*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 63653*i + 210. Give g(0).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 65\/104 - (-1035)\/72. Let u(n) = 39*n - 2. Let f be u(-3). Let c = v - f. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-288)\/72 - (-15 + -4). Solve 135*h = 130*h - i, 2*u - 3*h = -1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 652 and 3423?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -2. Let u = 0.06436 + 0.53564. What is the closest to 2 in 1\/3, x, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3990, -3692, -3196, -2502, -1610, -520?\n\"Answer: 99*g**2 + g - 4090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1839 = -264798*x + 264757*x - 580 for x.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29442857 to the power of 1\/2, to the nearest integer?\nAnswer: 5426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -577, -2\/9, -2 in ascending order.\nAnswer: -577, -2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -11*q**4\/12 - 215*q. Let o(f) be the first derivative of -4*f**3 - 57. Determine u(o(c)).\nAnswer: -1584*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 819 and 5382?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3417 in 3\/4, -0.1, 0.06, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -5*g + 2*w, 4*w + 1 = g - 12. What is the remainder when 115 is divided by g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 39*l - 1. Let w be b(5). Suppose -12 = -3*t, -3*c + w = 5*t + 36. What is the remainder when c is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (90\/75)\/(6\/10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10206 and 12096?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**3 + x**2 + x - 1. Let k(n) = 4*n**3 + n**2 + 2*n. Let o(s) = 2*k(s) - 3*z(s). What is o(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-l**2 + 0*l**2 + 4*l**2)*(-l + 1 - 1) + (-46*l - 15*l**3 + 46*l)*((0 - 1 - 1)*(-2 + 7 - 62) + 0 - 1 + 3).\nAnswer: -1734*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y - 72 = -25*y. What is the closest to 0 in 0.3, -0.09, -1, y?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, j: 6}. Give prob of picking 2 l.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138*h**6 - 4*h**5 - 28*h**3 + 481339*h**2?\nAnswer: 16560*h**3 - 240*h**2 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 12*o**3 + 4*o**2 + 12*o - 234. Is j(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3408)\/112)\/(22\/(-154)))\/(12\/(-4))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/((-1)\/4)*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gay when three letters picked without replacement from {y: 1, a: 1, g: 2, r: 2, d: 2, e: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**5\/60 + 5*i**4\/24 + i**3\/3 + 9*i**2. Let t be k(2). Calculate the greatest common factor of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 11*n**4\/24 + 12*n**2. Let y(g) = -110*g - 7. Let o(x) = 693*x + 44. Let v(w) = -7*o(w) - 44*y(w). What is v(f(j))?\nAnswer: -121*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 902772.6 days in hours?\nAnswer: 21666542.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101 and 32017?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 1. Let s be (-1)\/(-6) + 184\/48. Suppose 0 = 4*l + 3*m - 18, 2*m = -s*l - 3 + 19. Sort 4, l, a in descending order.\nAnswer: 4, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -2121?\nAnswer: 2125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*o + 4*o + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 - 11*b - 21 + b**2 + 19 - b**3 + 5*b as m*b**3 + l*b**2 + d + x*b and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3524530 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 17*r**2 + 12*r - 100. Let h be j(-18). Suppose 2*n - h*n = -2022. What are the prime factors of n?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y. Let d be b(-1). Calculate the greatest common factor of d and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1845609.\nAnswer: -2\/1845609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 40 - 10. Let o be 45\/12*12\/3. Suppose 4*s - o = 9. Solve u = -q + s*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**3*m**2 - 41*c*m**3 - 303*m**3 wrt c.\nAnswer: -6*c**2*m**2 - 41*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 222.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g. Let q(h) = 5*h + 32. Let r(u) = 3*u + 17. Let s(v) = -6*q(v) + 11*r(v). Determine -2*l(p) + s(p).\nAnswer: p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 20*h + 9. Let i be o(4). Suppose -t - t + 4 = 0. What is the tens digit of ((-294)\/4)\/i*t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from iiiiiiisiiisiis.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3888763.\nAnswer: 3888763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 0)\/(11\/(-2) - -1). Which is the closest to i? (a) 4\/3 (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.15 - 0.47. Let u = -0.559 - z. Round u to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (11 - (-136)\/(-32)) + 1\/4 and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10388\/663 + -1\/663. Let p = a + -61\/5. Calculate the common denominator of 67\/18 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*o + 1401 + 768 = -2681 - 1114 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3367 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-345))\/(49 + 15128\/(-310)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 35, 14, 58 in decreasing order.\nAnswer: 58, 35, 14, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -510 and 17.9.\nAnswer: -492.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 232, 458, 694, 940?\n\"Answer: 5*k**2 + 211*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 51) + -13 + -13 + 28 + 10?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j**3 + 0*j + 0*j)*((0 + 0 + 2*j)*(-4 + 1 + 1) - 310*j - 5644 + 5644) in the form q*j**3 + r*j**2 + w*j + a*j**4 + t and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17009 - 17009. Solve n = 4*b - 7*b + x + 3, x - 3 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 12 - 3 = 0. Let i be (0 + -2)\/(2\/115). Let l be (-2)\/(-4) - i\/10. Put -5, l, u in increasing order.\nAnswer: -5, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -u**9\/3024 - u**5\/30 + u**3 - 4. Let c(q) be the third derivative of d(q). Find the second derivative of c(l) wrt l.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -0.2 (c) 2 (d) -216326\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(91)*1 - sqrt(91)) + 2*2*sqrt(91))\/(sqrt(112)*2*-3).\nAnswer: -sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2485 a factor of 116536791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -21. Sort 1, 15, y in increasing order.\nAnswer: y, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**2\/2 + 149*r\/2 - 49 = 0.\nAnswer: 2\/3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028583472 rounded to 4 decimal places?\nAnswer: -0.0286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6997028?\nAnswer: 2, 1749257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, d: 2, a: 3, f: 2, k: 4, o: 1}. What is prob of picking 1 d and 1 o?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 21. Let h(o) = -13*o. What is the tens digit of h(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 14 - 5 = 4*z, -4*z + 18 = -2*x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 l, and 1 t when three letters picked without replacement from {d: 2, l: 3, t: 10}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -4)*-5 + -1 - -4. Suppose 8*a + 120 = l*a. What is the remainder when 38 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = v + 16. Let l = 26 + v. List the prime factors of 8\/(-44) - (-906)\/l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {s: 1, m: 5, p: 7}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 3*d**2 - 3*d - 4. Suppose 3*k - 8 = 5*k. Does 6 divide v(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a factor of 86698395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 180, 270, 360, 450, 540?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -24951\nAnswer: 249.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**5\/20 + f**4\/6 + f**3\/6 - 5*f**2 + 86*f. Calculate the lowest common multiple of j(-2) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1708 is divided by 77.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**(-8)\/r))*r**(-7))\/(r\/(r*r*r\/(r\/r**1*r)))**(-17) assuming r is positive.\nAnswer: r**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 14. Let o(w) = w + 4. Let y be o(-10). Give m(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -11*o**2 + 58. Let t(a) be the third derivative of a**4\/12 - 65*a**2 + 3*a. What is t(b(f))?\nAnswer: -22*f**2 + 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18205.\nAnswer: 5, 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-15)*21\/28. Let i = -355\/117 + 28\/9. Let d = -17\/52 + i. What is the closest to -1 in 1\/3, r, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71795 + -71327.87. Let q = w + -464. Let x = q - 0.13. Sort x, -5, 1.\nAnswer: -5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -274*x**2 + 90*x + 54. Let w(h) = 137*h**2 - 42*h - 25. What is -6*v(z) - 13*w(z)?\nAnswer: -137*z**2 + 6*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22\/31 or -2?\nAnswer: -22\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 127534742 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 j when three letters picked without replacement from {a: 2, j: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2864 - -2874.405. Let w = -0.095 - q. What is w rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*u**2 + 26 - 15*u + 13*u**2 + 10*u**2 + 14*u**2 - 46*u**2.\nAnswer: (u - 13)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2226700 rounded to the nearest ten thousand?\nAnswer: -2230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 453340 (base 6) to base 4\nAnswer: 21113130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/11)*w**(2\/7))\/(w\/(w*w**(1\/2)*w)*w*w*((w\/((w*w*w**14)\/w))\/w*w)\/w) assuming w is positive.\nAnswer: w**(2305\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 448362 and 3312?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18443303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h - 1255 = 0. Let p = -168 + h. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5220701 is divided by 1740233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 + 119. Suppose 69 - g = -2*d. Is 34 a factor of (-2 + d)\/1 + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 7*y - 2. Let x be g(-7). Let r = 3.2 + -3. Let s = 5 + -5. Which is the nearest to r? (a) s (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -14384*j + 143898. What is t(10)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-125)\/2550*49\/245?\nAnswer: -1\/102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjnnnn. Give prob of picking 1 n and 1 j.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/3*45\/60.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0325304 less than 10.35231?\nAnswer: 10.3848404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.12540078 - 32.87466422. Let g = x + 33. 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 s(g) = g + 4. Let b = 7 + -4. Calculate the lowest common multiple of 3 and s(b).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 17 - 32 = 0. Let o be (5 - 12)\/t - -6. Solve 0*r = -5*y + 2*r - 19, 5*r - 10 = o*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76127106?\nAnswer: 2, 3, 11, 1153441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*l + 2 + 2, -1 = -l - 4*k. Let n(m) = 2*m**3 + m. Let y be n(-1). Let v(r) = 3*r - 16. Let j be v(5). Put y, l, j in descending order.\nAnswer: l, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2700 + -2699. Let k(m) = -8*m**3 + m**2 - m - 1. What is k(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -941 or 11?\nAnswer: -941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r = -15. Let j = r + 0. Let d(o) = -o**2 + 5*o - 4. What is the remainder when 4 is divided by d(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (1 + 5 + -13 + 9)) + (3 - 52)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -762 + 761. Sort 3, 5, g, -4 in descending order.\nAnswer: 5, 3, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (10 - (3 - -10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 0 + 0*h**5 + 0*h + 0*h**4 + 3\/2*h**3 + 2*h**2 - 1\/120*h**6. Let p be k(0). Solve -3*j = o + o - p, 12 = 3*o + 3*j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/397575 and -137\/4940?\nAnswer: 20673900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 35 - (4 - (2 + 3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 452 and 24.\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (126\/105)\/((-386)\/(-190) - 2). Let h be (2 - 6) + -1 + 1. Let k be h + -2 + w - 0. What is the highest common factor of k and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s - 49. Give h(13).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 11*j**2 + 9*j - 12. Let w be v(-10). Let q be -14 - (4 + w + 0). Let m = q + 25. Solve -4*f - 11 - m = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2) + -6 + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.56 times -0.10466\nAnswer: 0.1632696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4517.238ml?\nAnswer: 4.517238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/3 in 3\/2, 0.11, 4, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*z + 4*z - 77 - 28*z to u + p*z and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 1)\/(5*4\/950). Let d = 99 - k. Suppose -d*c - 254 = -f - 57, 737 = 4*f + c. List the prime factors of f.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1265 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 2)*(-3 + 3 - 3*b) - 234 - 27*b + 234 to m*b + z and give m.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 31\/((-3410)\/(-1298)) - 11. Suppose -f*o**2 - 24\/5 - 4*o = 0. What is o?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*q + 7, 13 = 3*q - q + f. Suppose q*a - a = -4*z + 12, 4*z = -2*a + 12. Round a to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 152697 - 1066405\/7. Let j = l - 353. Which is smaller: 2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/7266 and 25\/24?\nAnswer: 29064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 8. Suppose -3*n = -9 - j. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 - 2*k**3 + 3*k**3 + k**3 + k**3 + 0*k**3 + (1 - 1 + k**2)*(-2*k - 5*k + 5*k) - 162*k**3 + 174*k**3 - 114*k**3 - k**3 + k**3 - 3*k**3.\nAnswer: -104*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -965, -8961, -22287, -40943, -64929, -94245?\n\"Answer: -2665*c**2 - c + 1701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/4 + 3\/2. Suppose -5*n = -109 + 114. What is the common denominator of v and n\/((-2124)\/(-628) - 3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*m + 11*m + 4*m)*(-1 + 1 + 2)*(2*m + 0*m - 3*m)*(2 + 1 - 1).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27.30768 weeks?\nAnswer: 275261.4144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13481, 27014, 40547, 54080, 67613?\nAnswer: 81146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -90, 2 in descending order.\nAnswer: 2, -1, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -11*i**3\/3 + 945. Let z(a) = 3 - 3 - 2*a. Determine z(d(p)).\nAnswer: 22*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 740615?\nAnswer: 5, 148123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -15*r**2 + 13*r + 3. Let g be p(10). Is 1*g*2\/((-4)\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9472425 divided by 3.\nAnswer: 3157475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -312, -1012, -2360, -4572?\nAnswer: -7864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/9 + 4810*n**2\/9 + 9628*n\/9.\nAnswer: -2*n*(n - 2407)*(n + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 226.35 - 226.35. Which is greater: -4890 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*u**4 - 60002*u**3\/5 - 35108*u**2\/5 - 5136*u\/5 = 0. What is u?\nAnswer: -428, -3\/10, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((2*sqrt(1573))**2 + sqrt(13) - sqrt(13))*-5.\nAnswer: -31465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/973, 22, 4?\nAnswer: 2\/973","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 14. Let a = 14 + -9. Suppose y + 3 + 1 = 2*j, -a*j = 5*y - 25. Solve -2*u + j*u = l*x + 15, -5*x = -u + 23 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 77 - 129. Let j(m) = 5*m - 51. What is the lowest common multiple of j(f) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-11)\/(l**(-12)*l))\/(l*(l\/(((l\/l**8)\/l)\/l))\/l*l*(l\/l**(2\/23))\/l) assuming l is positive.\nAnswer: l**(-251\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**2 - 20*w + 3. Let r be j(-7). Let t(d) = -d**2 + 3*d + 2. Let s be t(4). Let o = 5 - 4. Sort o, s, r.\nAnswer: r, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -308 - -283.8. Let y = -14.8 + c. Which is smaller: y or -0.6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 45?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9618 divided by -3206.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2242 + -962. Suppose -14*y + i = 468. Suppose -62*g + y*g + 924 = 0. Calculate the highest common divisor of 21 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64401219.\nAnswer: 3, 17, 23, 18301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*s - 2*s = 630, -508 = -4*w + 5*s. Let m = -59 + w. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-820)\/47970)\/(8\/(-6)*(-3)\/(-9)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {k: 4, s: 9, n: 4}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4302)\/5 - (4 - 0))\/1688. Let y = x - 8\/211. What is the common denominator of y and ((-156)\/10)\/((-8)\/(-3))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65)\/(-30)*48\/(-40)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204 + 270 = 33*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 36*t = -27*t + 8, 5*t + 10 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 903 - 891. Solve -50 = f*v + 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 6*g**2 + 13*g - 12. Let f be x(8). Let y = -107\/3 - f. Let u = -50 + 197\/4. Which is the biggest value? (a) u (b) y (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2584*o**2 + 29*o - 252667.\nAnswer: 5168*o + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 4*g + 3*l - 112, 3*l - 28 = -g. Let v(y) = -y**2 + 25*y - 40. Let m be v(g). What is the smallest common multiple of 291\/33 + 3 + m\/44 and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 173*b + 510.\nAnswer: (b - 170)*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 6:00 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-seven quarters of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163 + 281 - 185*s - 446.\nAnswer: -185*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.3, 2, -0.9250892 in descending order.\nAnswer: 4, 2, -0.3, -0.9250892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13, 4 in decreasing order.\nAnswer: 13, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -1\/6*g**4 + 0*g + 0 + 0*g**3 + 47*g**2 + 1\/30*g**5. Let n(y) = -y. Calculate t(n(k)).\nAnswer: 2*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41296414?\nAnswer: 2, 709, 29123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**2 - 11*c - 23. Calculate z(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-730)\/(-30) + -9 - 2\/6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -993*f**4*o**2 + 4653*f**3*o**2 - 474*f**2*o**2 + 27043*f**2 wrt f?\nAnswer: -23832*f*o**2 + 27918*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 833022 - 832983. Let p(f) = 14*f - 2. Let m be p(2). What is the greatest common factor of m and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(-23)\/(i**(-2\/13)*i**(1\/4)))\/((i\/(i**0*i))**50*(i\/(i**(2\/5)*i))**(-5)) assuming i is positive.\nAnswer: i**(1087\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 5*c - 10, 0*c - 2*c = 3*j - 4. Suppose 0 = 5*h - j - 10. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142089, -142086, -142083?\nAnswer: -142080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*18\/(-120)*5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 1:35 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 833? (a) 10 (b) 1\/3 (c) -0.2 (d) 5 (e) -0.3 (f) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308 and 105034664?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 381233856*i - 18167406620078592.\nAnswer: -2*(i + 95308464)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a hour in seconds?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -479b6 (base 13) in base 15?\nAnswer: -28d7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3212462, 1\/2, -0.5, -1?\nAnswer: -3212462","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 58\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 204 and 5202.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 0.2. Let c = -34.23 - -34.33. Sort -4, v, c.\nAnswer: -4, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221, -433, -639, -839?\nAnswer: -1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1581 - -123.62\nAnswer: 123.7781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2106.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -684? (a) 1 (b) -12\/19 (c) 231\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (88\/(-6))\/(4\/(-6)). Let i = a - 6. Suppose -n = -5 - i. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*h**2*r**3 + 5*h**2*r + 175*r**3 with respect to h.\nAnswer: 34*h*r**3 + 10*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -118628*x**2 + 16*x + 76711568 with respect to x.\nAnswer: -237256*x + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 12, h: 1, q: 3, x: 4}. What is prob of sequence hq?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 27. Suppose 0*y + 60 = 3*b + 5*y, 0 = -5*b - 5*y + 100. What is the greatest common factor of l and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u. Suppose 2*x = 3*j + 5 - 0, 5*j - 5*x = -15. Let i(m) = 2*m**2 + 0*m + 5*m + 0*m**2. Calculate j*i(d) + 4*o(d).\nAnswer: 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f + 1 - 3 + 4*f. Let m = -83 + 86. Let y(u) = -u + 2. What is m*y(c) + 4*k(c)?\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 80106 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112410475, 224820951, 337231427, 449641903?\nAnswer: 562052379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 - 43. Let c = w - -18. Let o = 55.2 - c. Round o to zero decimal places.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 611023914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aajj when four letters picked without replacement from jaajzwwzaaw.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 68*m + 69. Let c be z(-67). Let h(x) be the first derivative of 1\/20*x**4 + 2\/5*x - 3\/10*x**c + 0*x**3 - 5. Factor h(s).\nAnswer: (s - 1)**2*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -420066794*m**3 - 33807902 wrt m?\nAnswer: -1260200382*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3100.87 milligrams?\nAnswer: 3100870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 174072*d + 522201. Give j(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 7:04 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -22 (b) 1\/16 (c) -371\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -442*p**3 + 2*p**2 + 4*p - 1. Let h(j) = 1329*j**3 - 7*j**2 - 14*j + 4. Calculate 4*h(q) + 14*l(q).\nAnswer: -872*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 16 = -4*w, 0*w - 12 = -3*w. Suppose m*v - 4069 = 2891. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(72) + sqrt(72) + 1) + 0)**2 + -3.\nAnswer: 600*sqrt(2) + 7222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 12:01 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/9 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) 4 (b) -1 (c) -0.7 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7638c9 (base 15) to base 6\nAnswer: 320411413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -11 + 783*o - 792*o + 11. Let z(x) = 35*x. Suppose 3*i = -3, 4*s = -s + 2*i - 18. Determine s*z(m) - 15*u(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by 4.\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 0 + 0)*(2 - 2 + 4 + 3 - 1 - 4 + (5 - 2 - 2)*(-2 + 1 + 2) - 1 + 2 - 3 - 1 - 3 + 6) + (-2*p - p + p)*(-5*p + 2*p + p) + 25*p**2 - p**2 + 23*p**2.\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-5)*50\/(-20). Let w(g) = -g. Give w(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 7 = -3*c, -5*r + c + 4 = 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5819, 23264, 52331, 93014, 145307, 209204, 284699?\nAnswer: 371786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2066500 to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*q - 19*q + 14. What is the greatest common factor of 154 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*v - 135, r + 6*v + 38 = 3*v. Let o = r - -41. Let q(c) = c - 2. Calculate q(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*o - 3*n, -2*o + 4*n + 23 = -o. Which is smaller: 20 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 61.\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2784 divided by 24.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5150.9 and 0.4.\nAnswer: -5150.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -197 + -149. Suppose 3*x + 391 = -158. Let w = x - t. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s - 1. Suppose 42 = -16*l - 6. Let a be (3 + 4\/l)*18\/10. What is k(a)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*o - o**3 + 5*o - 7*o in the form a*o + t + i*o**2 + y*o**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 6*n - 10)*(-14668 + 22*n + 5*n + 14676).\nAnswer: -162*n**2 - 48*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - u + 12 = 0, -11 = 3*g + 5*u - 5. Let p(n) = -4*n - n + 2*n**2 + g - 1. Let j(t) = 2*t**2 - 3*t + 2. Let d be j(2). What is p(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -m + 35. Suppose -1160*d + 82 = -1158*d + 4*z, -4*z = 4*d - 144. Calculate the remainder when m is divided by d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/((-14)\/(-3))*608\/(-24). Let g = 52 + 290. Calculate the highest common divisor of g and r.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0706669 + -0.0707. Round f to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-99)\/6) + (8\/176)\/((-342)\/27474).\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123234 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1372 and -15.727?\nAnswer: 1356.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b + 4*b - 3*b)*(-182 - 89 - 674) in the form h*b + r and give h.\nAnswer: -945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*x + 2*a - 320, -a = 4*x - 320. Suppose -3*w - x = -8*w. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/3)\/(6\/(-171)). Suppose 338 + m = 8*y. Suppose 89*w - 95*w + 1128 = 0. Calculate the highest common divisor of w and y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 22 = 4*q - 7, 3*q - 15 = 0. Let o(z) = z + 13*z**2 + z - 14*z**2 + r. Give o(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 179493*o + 718020.\nAnswer: -3*(o - 59835)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, 0, -1 in decreasing order.\nAnswer: 8, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ltl when three letters picked without replacement from llllllllttlllllt.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 758131\/3 + -252710. Determine b, given that -h*b**2 + 0 + 4\/3*b**3 - 1\/3*b**4 - 2*b = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -7. Suppose -3*a + 29 = -5*i, -n - 16 = -a + 5*i. Suppose 3*z + 3*u = 3, 3*z + 5*u + 4 - 5 = 0. Solve 0 = 8*l - 5*l + z*t - 13, 0 = -a*t - 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - d + 4, 5*r - 4*d = -17 + 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121858828*m = 121858961*m + 16359 for m.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 smaller than 64\/1143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64744643 is divided by 703746?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*o + 23*o - 12. Let x be (10\/4)\/((-49)\/(-14) + -4). Let f be ((-1)\/(-3))\/((-15)\/18). What is the closest to f in o, 4\/3, x?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/1804 + -145237\/27060. Let v be 1\/(-3)*(2 - -22). Find the common denominator of (-554)\/(-36) + v + 15\/18 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.2 and -6269338505?\nAnswer: 6269338500.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnhjiinjjnnjnii. Give prob of picking 1 h, 2 j, and 1 i.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*y + 6536 - 1286 + 5358 = 0 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 19*y + 3. Let k be z(-19). Suppose v = k*u + 51, 7*v - 3*u - 231 = 3*v. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*o - 13, -4*i - 3*o = -4*o - 38. Let j be (3*(-4)\/i)\/(-2). Which is the second smallest value? (a) 4\/7 (b) 0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r. What is k(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3, -35, -167 in ascending order.\nAnswer: -167, -35, -3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, w: 4, z: 2}. Give prob of sequence wz.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2926876 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 14 = -4*z + 6, 4*a - 4*z - 8 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 c, and 1 i when four letters picked without replacement from sucnsiuinggiigu.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**3 + 2*t**2 + 2*t**3 + 0*t**3 + 4 + 0. Let z(h) = -5 + 7*h**2 + 3*h**3 - 1 + h + 2 - 4*h**3. Let i be z(7). Give s(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1605*x - 950. What are the prime factors of g(7)?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 18*i**3 - 58*i**2 - 59*i. Determine m(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 4*y - 14. Calculate k(-12).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, k: 1, r: 2, s: 1}. What is prob of picking 1 t and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 38?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1234*x**2 + 20*x - 15*x + 0*x**3 + 4322*x**2 + 2*x**3.\nAnswer: 2*x**3 + 3088*x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9 + (-13070)\/(-240)*6. Is u at least 318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -346727, -346744, -346761, -346778, -346795, -346812?\nAnswer: -346829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-1 - 42\/9)*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6 and 314199.7731?\nAnswer: 314205.7731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -350 - -354. Let t = 0.022 + 3.878. Let k = t - q. Is -6 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/15)\/(n*((n\/n**36)\/n*n)\/n))\/((n*n**(-38))\/((n**(-13\/3)\/n)\/n)) assuming n is positive.\nAnswer: n**(329\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15192, 60856, 136962, 243510?\nAnswer: 380500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -286*v. Let s(a) = -3*a**2 - 3*a + 3. Let d(h) = 3*h**2 + 4*h - 4. Let x(o) = 3*d(o) + 4*s(o). Determine p(x(g)).\nAnswer: 858*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 4. Let d be f(5). Let s(w) = -5*w**3 + 6*w + 1. Let p be 2\/(-56)*-7 + (-25)\/4. Let m(j) = j**3 - j. Give d*s(n) + p*m(n).\nAnswer: -n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23866611\/2977 + 8017. Is l at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -4 + -3 + 4 - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3 - 7. Suppose y*w + w + 3*i - 147 = 0, 4*i = 12. Let o = 46 - w. Solve 0 = -4*m - m - 3*r - 3, -3*m - 4*r + 7 = o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183321 - 0.043945.\nAnswer: -183321.043945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -1\/12*j**4 - 50*j**2 + 0*j + 0*j**3 + 0. Let y(w) = -10*w - 4. What is y(t(z))?\nAnswer: 20*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(475) + 0 + 0 - (sqrt(475) - (-2 + sqrt(475)))**2*2) + -5).\nAnswer: -39 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 18?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -479 and -2654070.\nAnswer: -2654549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/98*9*7\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**3 - 258*m**2 + 2*m + 5. Let s(g) = -10*g**3 + 518*g**2 - 5*g - 13. Determine -2*s(r) - 5*z(r).\nAnswer: -5*r**3 + 254*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(18\/(-2)))\/((-2240)\/(-640)))\/((-3)\/(-27))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*d + 11, 2*x = 5*d + 5*x + 9. Let i(j) = -2*j + 4. Calculate i(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -11*p + 19. Let h(y) = 58*y**2 - y**2 - 31*y**2 - 40*y**2. Determine h(f(k)).\nAnswer: -1694*k**2 + 5852*k - 5054","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-5 + -3*sqrt(833) + 3 - (sqrt(833)*-1*5 + 1 + sqrt(833) + sqrt(833)*1)) + 3)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -21*q**4 + 91. Let t(y) = 10*y**4 - 45. Let l = 76 + -81. Let h(o) = l*t(o) - 2*j(o). Find the first derivative of h(z) wrt z.\nAnswer: -32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1839042 = -5*y + 1781093 - 889870. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 10*w + 2. Let o(v) = 0*v + 5 + v - 5. Calculate -g(b) + 12*o(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3466, 6462, 8984, 11032, 12606?\n\"Answer: -237*x**2 + 3707*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 14*s = -9*s + 15, 5*s + 25 = 5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 593.56 + -587. Let s = 7.06 - q. What is the nearest to 0 in -5\/3, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 992250 and 21870?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2397742261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 8*v. Which is greater: v or 9\/11?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 15, 58, -3, -4245, -4 in descending order.\nAnswer: 58, 15, 3, -3, -4, -4245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 + 2050*i - 757*i + 0*i**3 - 646*i - 647*i.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, z: 1, x: 4}. What is prob of picking 2 x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = h, 0*r - 4*h + 5 = -3*r. Let v = 8 - r. Suppose 76000 = -v*z + z. Round z to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/10 - (-1096)\/(-40). Let q = 55 + i. Calculate the remainder when q is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1192, -1331, -1470?\nAnswer: -1609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvvt when four letters picked without replacement from vvvtvvttvvtvvt?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14 + 3)\/(-1*(-1 - -2)). Suppose -k*g = -4*g - 2317. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29565, 29462, 29181, 28632, 27725, 26370, 24477, 21956?\nAnswer: 18717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**3 - 20*b**2 - 6*b - 25. Let f(a) = -a**3 + 4*a**2 + a + 5. Let o(u) = 11*f(u) + 2*h(u). Let j be o(4). Sort 0, j, -5 in increasing order.\nAnswer: -5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8695 + 2509 = 4*o - 3*x, -5*x = 3*o - 8374. List the prime factors of o.\nAnswer: 2, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (62\/((-15810)\/(-1071)))\/((35\/(-5))\/35)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -526*s**3*t*y + 12*t + 3*y with respect to s.\nAnswer: -1578*s**2*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, i: 3, c: 1, a: 3, x: 2, q: 1}. Give prob of sequence qv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1257 + -1?\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 6) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1, -5, -0.088?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**3 + 15*x**2 - 8*x - 4. Let y(b) = 8*b**3 + 44*b**2 - 22*b - 13. Let v(u) = 11*d(u) - 4*y(u). Let c be v(11). Solve -c*p + 9*p + 3 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 621*x + 9060 = -1497 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/213? (a) 1 (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**3\/2 + 33*l**2 - 765*l\/2 = 0.\nAnswer: 0, 15, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from ssqussuqsqquqqs?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.7 - -9.2. Sort d, -27, -0.1.\nAnswer: -27, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17897?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -836\/2201 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, h: 2, s: 3}. Give prob of picking 1 s, 1 t, and 1 h.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, h: 4, l: 1, n: 7}. What is prob of sequence lonh?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*s + 124 = -1136 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(1\/(2\/2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36013, 1581, -1.\nAnswer: -36013, -1, 1581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -167961276 by 10066.\nAnswer: -16686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1225?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/34 and 77\/145278447.\nAnswer: 290556894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 6 = -2*n - p, 0 = -3*n + 5*p - 22 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 409, 771, 1133, 1495, 1857, 2219?\nAnswer: 2581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1104 (b) 4 (c) -1\/8 (d) 1478\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1323 = 4*r - 25*r. Is r smaller than 6\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**3 - x**3 - 8*x**2 + 0*x**3 - 4*x**3.\nAnswer: -2*x**3 - 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-10)\/(g\/(g*g\/(g**(-11)\/g)))*g**10*g*(g*((g\/((g*g**(-9\/5)*g)\/g*g))\/g)\/g)\/g assuming g is positive.\nAnswer: g**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/106, 0.5, 2\/7, -0.3 in descending order.\nAnswer: 0.5, 2\/7, -3\/106, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13120 by -32.\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/7 - 144*r**2\/7 - 2*r\/7 + 144\/7.\nAnswer: 2*(r - 72)*(r - 1)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3086 - -3083. Which is the third biggest value? (a) -48\/11 (b) l (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 10*v. Let i be a(-7). Let y = i + 35. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12a - 158?\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/21 + (-111)\/(-21). Suppose i - 4 = -0*i, 2*i + 497 = u*w. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(((-1)\/5)\/1). Let r be -1 + (1 - -8) + -3. Solve 9 = -3*o + 5*a, -6*o + o = -r*a + g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 288*s - 292*s + 3*u + 25, -5*s + 3 + 5 + 11 = -2*u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -3*t**5\/5 - t**4\/12 + t**3\/2 + t**2 - 22*t. What is the units digit of r(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/11 or 26.3?\nAnswer: 26.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/((-375)\/(-18))*5\/3. What is the third biggest value in -4\/7, y, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2710 + 21743\/8. Find the common denominator of p and 19\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -143 (b) -8 (c) -5 (d) -1412\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -17, 13 in descending order.\nAnswer: 13, 2, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1022\/81317, 3?\nAnswer: -1022\/81317","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8, -3, 28, 97, 216, 397, 652?\n\"Answer: 2*t**3 + t**2 - 12*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 289, 632, 1117, 1744, 2513, 3424?\nAnswer: 4477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -8*x - 3. Let p be x\/(-1) - 93\/3. Let o = p - -35. What is the greatest common divisor of 6 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = s, -12*s + 8*s - 2 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/8 and -113\/186576.\nAnswer: 186576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-16 + (-1 + 2 - 0) - 30)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100814 + 3*p - 49803 - 49886.\nAnswer: 3*p + 1125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 16*s**2 + 127*s + 1965. Calculate i(-16).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 208, 213, 222, 241, 276?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-258)*((-1890)\/36)\/(-35)\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 7*g**2 + 4*g. Let i be v(3). Let y = -24 - i. Let m(q) = -2*q + 11. Let s be m(y). What is the greatest common factor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12\/(-39) + 3720696\/312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5*d + 0*d = -11, -5 = -a - 3*d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + -0.3. Let q be -1 + -37*(-16)\/(-12). Let i = -51 - q. What is the closest to i in 0.3, m, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38461288 to the nearest integer?\nAnswer: 6202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 12:34 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 11) to base 5\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2 = s, -4*s - 2*n - 38 = -s. Let t = s + 12. Let m(y) = -2*y**3 + 2*y**2 + 3*y - 3. What is m(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 119 + 16 + -8 - -4. Suppose 0 = -t*i + 126*i + 960. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99 + 3*i**2 + 410 - 4*i + 4*i - 525.\nAnswer: 3*i**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35116.4 - -35114. Which is the second biggest value? (a) 0.33 (b) w (c) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74076 divided by -6173.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 250 (b) 0 (c) -23\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 11 - -2 - (41 - (-53 - (-35 + -77)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*y - 72*y - 7428 = -x, 0 = -3*x - 2*y + 22240. What is the thousands digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(-2)*(85 - 75) - -20682.\nAnswer: 137, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 11, a: 3}. Give prob of picking 1 a and 1 b.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*h + u + 18, 3*h + u = 22. What is the highest common factor of 9 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven quarters of a minute?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-6)*1*(-724)\/(-181)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 7*z**2 + z + 8. Let l be x(-7). Let t(i) = 2*i**3 + 2*i**2 + 2*i + 2. Let h be t(-2). Let v be (4\/2 + 0)\/h. Is v smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(18*q + 86 - 57 - 14).\nAnswer: -36*q - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35799 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 166, 312?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2455*m + 9. Let d(q) = 4907*q - 14. What is -3*d(g) - 5*t(g)?\nAnswer: -2446*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -26*i + 84. Solve i*x = -3*b + 1, b = -4*x - 0 - 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 14306?\nAnswer: -14306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(18)\/(-1*sqrt(9)*-3 + sqrt(9)) - (sqrt(288) - (sqrt(288) + 0))**2*-5)*-2)*1.\nAnswer: -1 - sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 5*b + z, b - 4*z - 23 = -8. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/6*15*(-8)\/(-30).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 + 7 + 11 - 28*h**3 + h - 2*h - 19 as o + u*h + z*h**3 + w*h**4 + q*h**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*b**3 - b**4 - 21*b**3 + 2*b + 2 + 3*b**2 - 3*b**2 in the form g*b + v*b**4 + x + t*b**3 + c*b**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 30*q**3 + q**2 + q + 1. Let g be a(-1). Which is bigger: g or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n. Let p(r) = 72*r**2. What is q(p(j))?\nAnswer: -360*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118037 is divided by 84.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -113*n - 272 + 90 - 56 + 5 - 175 with respect to n.\nAnswer: -113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-4) - (-1)\/2. Suppose -4*h = v*z - 36, 3*z + z = -5*h + 31. Is 4\/z + 173\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 15 = -7*v. Let r(d) = -2*d**2 + 5*d - 2. Give r(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 2480 = -1624. Calculate the lowest common multiple of u and 144.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7597 - -1428. What is the third derivative of n - 9020*n**2 - 3*n + j*n**2 - 27*n**3 wrt n?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13956576 divided by -872286.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*q**5\/2 - 31831*q**4\/2 + 18087395*q**3 + 12932238*q**2 - 5171076*q = 0. Calculate q.\nAnswer: -1, 0, 2\/7, 2274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z = 3*z - 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.725 + -0.275. What is the second biggest value in 1, -3\/2, -7, v?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 129 = 68*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssvssss. What is prob of sequence sv?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 10*w**2 + w - 9. Is 13 a factor of o(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/4 of a century?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 11:04 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + 1 - 1 + (-1 + 1 + n)*(-4 - 2 + 4) - n - 4 + 4 - 2*n + 4*n - 4*n - 8*n - 2*n + 2*n + 5*n + 2*n - 5*n + (-1 + 6 - 3)*(2 - 2 - 2*n) - n - 5 + 5.\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 277064212 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404853*k + 802203*k - 26*k**3 - 397350*k.\nAnswer: -26*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 10*u**2 - 5*u. Let t(a) = a. Determine t(j(l)).\nAnswer: 10*l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 13*i + 11. Suppose s - 13 = 2*s. Let h be t(s). Solve h*z + 25 = 6*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3251, -55, 7 in decreasing order.\nAnswer: 7, -55, -3251","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 13542\/19 bigger than 0.0934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*o - 21, 0 - 40 = -4*o - h. What is the greatest common divisor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*l = 3*l + 142, 5*l = 0. Find the third derivative of -1 + 148*b**3 - 146*b**3 - c*b**4 - 25*b**4 - 2*b**2 wrt b.\nAnswer: -2304*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m - g + 66 = 0, -m - 26 = -4*g. Let p be (-6)\/(-8) + m\/(-8). Suppose 8833 = p*d - 41167. What is d rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*v**3 + 38*v**3 + 27*v**3 + 5*v**3.\nAnswer: 118*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2 + 5. Let x(h) = -2*h. What is r(x(s))?\nAnswer: -8*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 14*z + 3*s - 11 = 0, -2*z + 20 = -4*s. Suppose -663 = -21*f + z*f. Is f a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + 1 + sqrt(475) + 1)*-2 + 4 + -2*(1 + sqrt(475)))**2.\nAnswer: 120*sqrt(19) + 17104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -30.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 11:17 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 13452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.39 - -7.51. Let j = -2.835 + -0.065. Let o = j + t. What is the third biggest value in 0.5, -5, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 18*t**3 + 2*t**2 + 62*t + 231. Give w(-4).\nAnswer: -1137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 11:04 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 6*k**2 - 5*k - 6. Let n = 795 + -789. Determine f(n).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**8\/6720 - r**7\/2520 + r**4\/3 + 7*r. Let z(y) be the third derivative of d(y). Find the third derivative of z(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -52*r - 2 + 62*r + 59*r + 27*r. Let h be u(1). Suppose -2*j + 2*x + h = 0, -x + 31 + 234 = 5*j. Round j to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 16*f**2 + 15*f + 33. Give l(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 4*f + 21, -3*f - 7*j - 17 = -3*j. Let m(x) = 6*x - 92. Let i be m(17). Solve b + f = 0, b - i = 3*w - b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7373283 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4aa - -177?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -7 in decreasing order.\nAnswer: 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 4 = -2*f. Let y = -2 - f. Suppose y*m - 22 = 2. Calculate the highest common factor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -1120?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*r - 5*o, -6 = -2*r - r + 2*o. Suppose 12 = r*t - 8. Suppose -5*h + 4*n + 20 = 0, -h = -0*h + 2*n + t. Solve i + 2 + 1 = h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2099, 2069, 2031, 1979, 1907?\n\"Answer: -m**3 + 2*m**2 - 29*m + 2127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (2 - (-6 + 7)) - (0 - -13).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20980 at least as big as 20989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1207? (a) -3 (b) 5 (c) 101 (d) -0.4 (e) 1.5 (f) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -13*x**6\/30 - 3*x**5 + x**3\/6 - 1009*x**2\/2 - 28*x - 22. Find the second derivative of h(g) wrt g.\nAnswer: -156*g**2 - 360*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/1735 and 44\/7287.\nAnswer: 36435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 6. Let k be g(8). Let q = -1 - k. Let n(i) = i - 1. Let m(d) = -5 + 3 - 5 + 7*d + 2. Calculate q*m(s) - 6*n(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/14*168\/30*-5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -186*10988\nAnswer: -2043768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2137 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2071637?\nAnswer: 17, 31, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*d**4 + 2261*d**3*y + 6*d + 1162289*y - 2 with respect to d.\nAnswer: 104*d**3 + 6783*d**2*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2 = 0, -3*g + t + 221 + 251 = 0. Suppose o - g = -25. Let w = 191 - o. 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 -61856725.39 - -32?\nAnswer: -61856693.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 66 = 7*u. What are the prime factors of u?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-11)*a*a\/a**3*a*a)\/(a**2*a*a*a\/(a**(1\/26)\/a)))**(-9\/13) assuming a is positive.\nAnswer: a**(3735\/338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16158377?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 916111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(11\/3)\/x**(-1\/7)*((x**0\/x)\/x)**(-4\/7) assuming x is positive.\nAnswer: x**(104\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2895060 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5705 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.065, 5, -2\/7, 4 in descending order.\nAnswer: 5, 4, 0.065, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -15635*c**3\/6 - 1037*c - 3. Let f(x) = 59*x. What is 531*f(s) + 2*i(s)?\nAnswer: 59*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eehe when four letters picked without replacement from {h: 12, e: 6}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3540 - 2*m - 3540 + 2*m - 995*m**2 to the form a + c*m + h*m**2 and give h.\nAnswer: -995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0, -0.5, -0.4, -0.07, 1\/253, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 5*y + 6. What is t(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*8.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1409, 1418, 1427, 1436?\n\"Answer: 9*x + 1400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjww when four letters picked without replacement from {j: 1, g: 1, p: 1, m: 2, c: 2, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-14))\/((-52)\/(-14)). Let x = r - 4\/13. Suppose c - 4*c = 0. Which is smaller: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -18. Suppose -25 = -4*h - y. Solve 3*x - 5 = h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195190.\nAnswer: 2, 5, 131, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -2) + -2 - -5. Let w = 31 - 7. What is the greatest common factor of a and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4715\/820*220\/506.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 + 4*d**2 + d**2 + (2*d + 2*d - 2*d)*(5 + 0 - 4)*(4 - 4 + d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**3 - 1255*k**2 + 71590*k + 655600 = 0 for k.\nAnswer: -8, 110, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 14133 = -11556. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1764055\/1631 less than -1081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b53 (base 14) to base 8\nAnswer: 4265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 26*w - 49. Let x(v) = -9*v + 18. Suppose 53*b = 47*b + 24. Let m(f) = b*q(f) + 11*x(f). Determine m(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1248 - 567. Which is bigger: n or -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01583 rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 10*y**2 + 7*y - 1. Let j be z(7). Suppose 0 = -4*k - 2*d + j, 709 = 4*k - 5*d + 178. Let f = k + -66. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-360)\/10 - (-6 + 3)\/24*-8?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(1\/3)*j**3*j\/(j\/(j\/((((j**(1\/23)*j)\/j)\/j)\/j))*j)*j**(5\/6) assuming j is positive.\nAnswer: j**(297\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from {k: 5, u: 1, w: 4, q: 3}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150130960 and 560.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5970*o**2 - 3275*o wrt o?\nAnswer: 11940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 14*h**2 + h. Calculate y(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54957 is divided by 27425.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Convert 8a3a4 (base 11) to base 6.\nAnswer: 2450031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Let m = 6.1 + -0.1. Let h = m + -5.6. Which is the closest to k? (a) h (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 0*a + a)*(-30 - 22 + 261) to b*a + p and give b.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 7*o**2 + 5*o + 6. Let w be d(6). Let t = 78\/437 - 2\/437. Which is bigger: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29\/5 + 111\/20. Let n(x) = -892*x**3 + 2*x**2. Let v be n(2). Let b be (-2)\/11 - 1890\/v. What is the third smallest value in b, -3\/8, y, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1\/10 (c) 62 (d) 2 (e) -0.3 (f) -1.8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-2 - -4) + 4 - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(-4) + (-5249)\/(-3828) + 3\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*l + 2*l - 7*l to the form s*l + q and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-1 + 0 + (10 - 0))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 2*z**2 + 4*z + 5. Let p be b(-3). Put 3, -5, p, 0 in decreasing order.\nAnswer: 3, p, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 3*g + 2. Let j be m(2). Suppose j = 19*c + 9*c - 56. Solve -2*s + 5*u = 3*u + 12, 4*s - c*u = -14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*b**3 + 42*b**3 - 106*b**3 + 81*b**3 + 33*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 10:32 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21136429 - -980857. Suppose 0 = 10*h - 134916714 - g. Suppose 0 = -5*v - h - 8946600. Round v to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-50)*(-2 - -4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 29*o**2 + 36*o + 43. What are the prime factors of m(9)?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v + 2. Suppose -t - v = -3. What is the closest to t in -2\/9, -0.3, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -4. Let l be (-1*10 - 0)*k. Let h(w) = w - 5. Let s be h(l). Solve s*u - 9 = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -473650*s**2 - 1. Let o(c) = -3*c. Give u(o(f)).\nAnswer: -4262850*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24717912 to the power of 1\/3, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 4*s**2 - 13. Let r be n(3). What is the units digit of (-19)\/r - (-3)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 - -103. Suppose p - 5*p + d = 0. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 7:56 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -3\/2*t**2 - 2*t - 5\/6*t**3 + 0. What are the prime factors of q(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*w - 8 + 128. Suppose -w*o + 739 = -125. Calculate the least common multiple of o and 24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.57 + -3.\nAnswer: -11.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 18*p + 9*p + 7 = 0, 11 = -3*b + p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - 0.3. Let f be 0 + (33\/(-15) - -2). Which is the closest to 3? (a) -2\/3 (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7992148 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: Let h = -3126 - -6392. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/78570 and 19\/225.\nAnswer: 392850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -r + 47. Let c(p) = -p**3 - 72*p**2 - 461*p - 336. What is the remainder when c(-65) is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {t: 8, z: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.46, 2, 70, 5?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -166886 + 166750.071. What is l rounded to zero dps?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 857*t + 45 = 872*t. Solve 7*i - 7 = 2*i + t*m, 3*m + 23 = 13*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1473 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w - 29*w + 156 = -20*w - 32*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 104*z**2 - 165*z - 243. Is m(-62) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 59*n - 1085. What is q(19)?\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -2*l**3\/15 - 33*l**2\/5 - 108*l - 750. Factor g(o).\nAnswer: -2*(o + 15)*(o + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25308, 101773, 229330, 407985, 637744, 918613, 1250598?\n\"Answer: x**3 + 25540*x**2 - 162*x - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1165742452?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -23 - (-53 - -70)) + -7\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -47, 3 in descending order.\nAnswer: 5, 3, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c + 6. Calculate g(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 137480 and 41244.\nAnswer: 412440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2755 = -5*n - 2*w + 2784, 2*n - 17 = w for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 37, 112, 239, 418, 649, 932?\n\"Answer: 26*c**2 - 3*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2363952.9 months to decades.\nAnswer: 19699.6075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 4*s + 166, 60 = -o + 2*s - 23. Let u = o + 126. Calculate the remainder when u is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.5, -1\/5, -1 in decreasing order.\nAnswer: 0.5, -1\/5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i**2. Let b(l) be the second derivative of 0*l**2 + 0 + 0*l**3 + 6*l + 1\/6*l**4. Give b(t(n)).\nAnswer: 50*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(5*m**3 - m**3 - 2*m**3) - 2*m + 2*m - 6*m**3 + 0*m**3 + 2*m**3 + 0*m**3 + (-4*m + 4*m + 2*m)*(-3*m**2 + 3*m**2 - 3*m**2).\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2349 and 2001?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-3)*j**5)\/(j\/(j**(-3)*j*j)*j**(-3\/2)))**(-25) assuming j is positive.\nAnswer: j**(-425\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -19090000 rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -29, 0.01 in decreasing order.\nAnswer: 5, 3, 0.01, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -65*s**2. Let u(i) = 29039*i**2. Calculate u(w(p)).\nAnswer: 122689775*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0258602 and 0.08.\nAnswer: -0.002068816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1672ac3 + -9?\nAnswer: 1672ab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-3)*45\/(-6). Suppose -y = 5*u - 40. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 50 = 4*c. Let v(p) = 3*p**3 + 20*p**2. Let t(m) = -m**3 - 7*m**2. Let u(b) = c*t(b) - 6*v(b). Solve u(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -144 - -146. Let a(m) = 0*m**2 - 2*m**r + 6*m**2 - 10*m**2. Let f(g) be the third derivative of -g**4\/8 + g**2. Calculate f(a(t)).\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/1 - (-15)\/105*-14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2391, 4783, 7171, 9555, 11935?\nAnswer: 14311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 4 - 2 - 3*i**2 + 52*i**2 in the form x + o*i + u*i**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 7:03 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 1\/8, -3, 1, -1 in increasing order.\nAnswer: -3, -1, 1\/8, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + x + 8. Let v be t(0). Let z = 5 + v. Suppose -171 = -4*r + 5*y, -3*r + 131 - 20 = 2*y. What is the greatest common divisor of z and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -269, -88, 75, -4, -3 in decreasing order.\nAnswer: 75, -3, -4, -88, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.142 - 5.942. Let l = p - -5.80047. What is l rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -3, -1\/6, -0.03 in decreasing order.\nAnswer: -0.03, -1\/6, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + -1 + 5 - 2. Suppose o = i - 5*i + 32. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v + 168 = 0. Let r be ((-36)\/108)\/(2\/6). Let f be r + -50 + (-23 - -19). Do f and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f + 42 = 20*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2\/3 - 903014*b\/9 - 150502\/9.\nAnswer: -2*(b + 75251)*(6*b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 16. Solve c = 2*g - 2, 3*c + 6 = -q*g - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/180777 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -28 (b) 5 (c) 2\/13 (d) 1.9 (e) -1.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 - -27. Suppose 100*x - 704 = s*x. Suppose 6*a - 5*a = x. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/616 and 79\/68499662?\nAnswer: 273998648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x - 5. Let z be b(-4). Let i(g) = -g**3 + 12*g**2 - 11*g + 14. Let c be i(z). Solve -3*o + 3*a - 9 = 0, 7*a - 4*a = -2*o + c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 273*k**2 + 809*k + 285. Calculate d(270).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - l = -3*l - 166, 4*g - 2*l = 340. Let r = 27470\/3 - 9243. Let x = g + r. Which is the nearest to x? (a) 4\/3 (b) -1\/2 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w - 6352 = -6226 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + -19. Let j be (-3)\/9 + p\/(-42). Let i = -0.2 + 0.2. What is the third smallest value in i, j, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30, 37, 146, 303, 514, 785, 1122, 1531?\n\"Answer: b**3 + 15*b**2 + 15*b - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -3) + 21*(-10)\/(-30).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -x - 0. Let w(u) = -135*u + 70*u + 6 - 4 + 66*u - u**2. Calculate w(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(3) + sqrt(75)*-2 + (sqrt(144)\/sqrt(3) + sqrt(12))*2)**2 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*w + 5*h, -3*w = -236*h + 233*h + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2187 divided by -19.\nAnswer: -2187\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/528 + (-241)\/(-24) - (-924)\/(-92).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*f + 74 - 4. Suppose 30 = -4*r - 10. Suppose 15 = -15*a + 45. Sort f, 3, a, r in ascending order.\nAnswer: r, f, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*s - 74*s + 36 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - t = 0, 2*a = 6*a - 4*t + 8. List the prime factors of 12 - ((a - 3) + 3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4596, -4597, -4598, -4599, -4600?\nAnswer: -4601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 38096118 + 6416118 = 0. Round u to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28024 and 39324.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 37*t - 33*t = 16, -d + 13 = 5*t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*s - 23 - 9, 5*s - 59 = -c. Let l be ((-4)\/(-8))\/(1\/36). Let f = l + 3. What is the remainder when f is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 51000 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 1\/60*b**5 + 0*b + b**2 - 5\/2*b**3 + 0 + 1\/8*b**4. Let a be n(7). Calculate the greatest common divisor of a and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**(15\/2)*j)*j*j*j**(-1\/2)*j*j\/j**(2\/13)*j**(8\/9) assuming j is positive.\nAnswer: j**(-382\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 728*s. Let j(t) = -79*t**2 + 64*t + 3. Give j(p(z)).\nAnswer: -41868736*z**2 + 46592*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33\/38 - 2\/57. Let o = 0.1 - 0.1. Which is smaller: o or r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14970 by -6.\nAnswer: 2495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 73?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237 + 48*r + 19*r + 241 + 237 - 24*r - 712.\nAnswer: 43*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4\/13 (b) -0.6 (c) 0.5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 13. Calculate the remainder when (2 - -2)\/p*55 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -6. Let i = -2 - 0. What is the nearest to g in 2\/3, i, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 0*w**3 + w**2 - 5*w - 2 - 4*w**2 + w**3. Suppose 4*m = -m + 25. Let p = m - 1. What is z(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 16 = 4*d. Which is smaller: -3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**3\/9 - 24*y**2 + 452*y\/3 - 1880\/9 = 0.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 - 40. Let n be 4\/(-3)*18600\/(-400). Let o = n - d. Solve -2*w + 2*b = -0*b + 6, -o*w + 4*b - 8 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-14))\/((-2)\/(-70)). Suppose -5*v = -2*v - y. What is the units digit of v\/25 + 38\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2 + 0*s + 3 - s. Let w be g(-1). Suppose 3*z - 10 = -w*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136868 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 114160 or 114157?\nAnswer: 114160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**5 + 20*x**4 + 75*x**3 - 70*x**2 - 140*x + 120 = 0. What is x?\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a century in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, -1\/4, 1\/4, -2\/9, -1312, 0.5, 12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 18, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/((14\/7)\/(-4))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - 17) + -3 + 0. Let o = i - -36. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**5 + 11*p**3 + 4*p**2 + 23*p**3 - 4*p**4 - 36*p**3.\nAnswer: 2*p**2*(p - 2)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-1 + 25\/5) + -1. Let o = -26\/53 + 259\/636. Which is the second biggest value? (a) o (b) q (c) 2\/13 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/(-6) + 4\/(-6). Suppose -4*n = k - 6, 2*n + 6 = 3*n - 2*k. Solve -n = t*i - 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-60)\/25)\/(2\/(-15)). Let l be 965\/9 - 4\/u. Suppose 0 = d - l + 20. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.4, -0.05, 0.09?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r + 14. Let f be h(-9). What is the closest to -1 in f, 3\/2, 4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -35. Solve 2*s - 12 = 2*v, -3*v = 5*s - 6*v - f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51187 is divided by 6391.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, 2, -5, 3, -0.009, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83435.1 seconds to microseconds.\nAnswer: 83435100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**3 - 3*p**2 - 268*p - 2863 wrt p.\nAnswer: 3*p**2 - 6*p - 268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -955 divided by -191.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 greater than 31.7428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -9. Suppose 1 = 2*a - g. Solve a = -2*d - 0*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2258, -4515, -6772, -9029?\nAnswer: -11286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 53.3707 and -94.\nAnswer: -40.6293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 10*y + 96 = 0. List the prime factors of (y + 6 - -581) + 1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/69?\nAnswer: -5\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 + 35. Suppose -v = -2*v + a. Solve j = -j - v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/920?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 29525505?\nAnswer: 236204040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -716*v = -333*v - 4213 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.25 + -0.05. Let l = -0.034459 + -0.065541. What is the fourth biggest value in m, 0.3, -1\/2, l?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -400.29 + 413.29. Let o = -3 - 2. What is the closest to d in -1, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/5 of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.31 + 0.81. What is the fourth smallest value in 3\/8, 3\/4, 4\/5, n?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 7:11 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g - 3 = 2*p, -3*g = 3*p. Suppose -p*q = -3*t - 2*q + 61, 4*t = 4*q + 76. Calculate the smallest common multiple of t and 15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (-1 + 11))*2. Let g = p - -40. Calculate the remainder when 10\/(1*8\/36) is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1295210.\nAnswer: -1\/259042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*u - 8*u + 14*u)*(2 - 2 - u) as n*u**2 + g + l*u and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1950785, 3901521, 5852271, 7803041, 9753837?\nAnswer: 11704665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 1. Let f(s) = -3*s - 2. Suppose 0 = -5*h + 4*i - 3, 0 = 2*i + i + 9. Let r be 7\/(21\/6) + 6. What is h*f(w) + r*y(w)?\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12442 + 113598 = -2299*i for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 + 8*s - 2*s**3 - 2*s**3)*(7*s + 0*s - 2*s)*(0*s - 2*s + 3*s).\nAnswer: -5*s**5 + 40*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/7 (b) -2\/19 (c) 4 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r + 155 - 316 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -7*g**6\/180 + 23*g**3\/3 - 58*g**2. Let u(z) be the first derivative of o(z). Let b(c) = -6*c**2. What is u(b(x))?\nAnswer: -504*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - o - 3. Suppose 2*y = 4*n - 16, 0 = -o*n + 6*y - 3*y + 12. Let m = 8 + -3. Solve 24 = -5*h - 3*d + n*d, -m*h + 4*d = 21 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28454962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 + 16 = -4*i. Let n be 20\/(-30) + (-40)\/(-6). Calculate the greatest common divisor of n and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4554015 and 2073945?\nAnswer: 5415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87967821*h**2 - 173198246*h + 2?\nAnswer: 175935642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4444900 is divided by 37352.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -893, -8075, -27571, -65537, -128129, -221503, -351815?\nAnswer: -525221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*u + u + 76, 3*d = -3*u - 84. Let c be 60\/105*-1*2\/d. Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 184 by 2.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w**21))\/w)\/(w**22*w))\/((w**14\/w)\/w*w**(-1\/20)\/w) assuming w is positive.\nAnswer: w**(-1119\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 67338*m**2 - 5*m + 6. Is p(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + (sqrt(448) + sqrt(448)*1*-3 + sqrt(448))**2*-3 + (-1*sqrt(448)*-2 + sqrt(448) + 0 + 0)**2 + -3.\nAnswer: 2688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(2299) + 0 + sqrt(2299) + 2)**2 + -3) - (-4*(5 + sqrt(2299) + -1))**2*2.\nAnswer: -110868 - 3168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 145 = -4*c + 5*r, 0 = 5*c + 2*r + 191. Let k = 100 - 153. Let u = c - k. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -6114754a?\nAnswer: -61147551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3771950587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 27. Let s be y(0). Suppose 5*v + 5*i = -5, 3*i = 6*v - v - s. Suppose 0 = 3*b - 3*m - 42, 5*b - 3*m = 26 + 34. Solve -v*z = -6 - b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**1*d**(-1\/5))\/((d*d*d**(2\/15)*d)\/d**7) assuming d is positive.\nAnswer: d**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-54)*3\/(-5)*1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/21)*g*g*g**(-5)*g)\/(g**(-2\/3)*g\/g**(-10)))**(1\/13) assuming g is positive.\nAnswer: g**(-87\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = o - 9, 2*r - 12 = -3*o - 0*o. Suppose -2*z = -o*z + 108. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**23*y*y)**(-5\/3) assuming y is positive.\nAnswer: y**(-125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23652107?\nAnswer: 43, 550049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6620 = 25*v + 4268 - 8948. Calculate the smallest common multiple of 2260 and v.\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, t: 9}. Give prob of picking 3 a.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -282171\/32 and -8818 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 60*7\/((-21)\/(-2)). Suppose -3*f + 42 = -3*r, -2*f + a = -3*r + 13. Factor -19*d**2 + 0*d**3 - 6 + 7*d**2 - f*d + 3*d**3 - 6*d**3.\nAnswer: -3*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4 - 15*a - 13*a**2 + 17 - 4 + a**3. What is the smallest common multiple of u(14) and 8\/2*(-28)\/(-16)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19920, -39843, -59758, -79665, -99564?\nAnswer: -119455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p. Let a(i) = 10*i. Suppose -h - 6 + 15 = 0. Suppose 7*w = h*w - 6. Determine w*a(g) - 16*l(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -630, -1251, -1860, -2451, -3018?\nAnswer: -3555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2249*j + 52910 - 16926 = 0 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -11. Suppose -a*v = -2*v + 10. Put v, 9, -4 in decreasing order.\nAnswer: 9, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/25*(-30)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**3\/5 + 7373*r**2\/5 + 13571831*r\/5 - 13608721 = 0.\nAnswer: -3689, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60161 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 45, -4\/5, -1\/3, 0.1, -24580, -5\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 509194921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5520 (base 8) to base 9\nAnswer: -3867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12575696 divided by -7?\nAnswer: 1796528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40*((-6288)\/(-5895) + (-4)\/5)\/(8\/10)?\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-93)\/1*-1)\/((30\/(-5))\/6)\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1110.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144383 (base 10) to base 15.\nAnswer: -2cba8","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**5\/60 + 19*h**4\/24 - 3*h**2. Find the second derivative of z(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 80, -5 in increasing order.\nAnswer: -5, 5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 + 28. Let a be ((-15)\/9)\/(8\/48). What is the closest to 0.1 in a, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(30)\/(sqrt(30)\/sqrt(3)))**2 - (sqrt(3) - ((sqrt(90)\/sqrt(3))\/sqrt(10))**2)) - -3*(-1 + sqrt(15)\/(sqrt(40)\/sqrt(8))).\nAnswer: 2*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(300)\/sqrt(150))\/(sqrt(10) - (sqrt(360) + 2*sqrt(360)) - sqrt(10))*5.\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438 = 943*d + 4178 + 8519 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2152\/7 + 306. Let m = -0.04 + -0.06. Which is the nearest to m? (a) d (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/2 + 4\/(-8). Is 4 a factor of 0 + q + 2\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23227*f**2*z**3 - 3*f**2 - 2*f*z**3 + 2*f*z**2 + 8*z**3 - 395295 wrt z.\nAnswer: -139362*f**2 - 12*f + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q = 2*x + 14*q - 2, 30 = -2*x - 5*q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -a - 22, -5*a + 20 = 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3605*j - 3619*j + 10833*j - 3616*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36*z**2 + 98?\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-32))\/(12\/(-5*24)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) 3753 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 3:47 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -343700 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218238153.\nAnswer: 3, 7, 53, 196081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -109*g**8\/112 - g**7\/210 - 227*g**5\/10 - 777*g**2. Find the third derivative of r(u) wrt u.\nAnswer: -19620*u**2 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 0, 5\/253, 1, 0.05, -4?\nAnswer: 5\/253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-458)\/(-5) - 4\/(-10). Suppose v + k = 4*a - a, a - v = 30. Suppose 3*b = 4*n - 2*b - 35, 3*n + b = a. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 10*s**2 + 3*s**2.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 167. Let w(n) = -n**2. Calculate j(w(g)).\nAnswer: g**2 - 167","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*l + 10, 0 = -d + 5*l + 26 + 1. Let r be 16\/9 - d\/(-9). Let k(m) = 4*m**2 - 2. Let o(v) = -v**2 + 1. Calculate r*k(b) + 6*o(b).\nAnswer: 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9392 divided by -1174\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 172*p - 168*p - 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138277 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 127040 to the nearest 1000.\nAnswer: 127000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19799757 by 3.\nAnswer: -6599919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 35921349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 - r**4 + 0*r**2 + 0*r**2 + (-4*r + 7*r - 2*r**3 + 4*r)*(0*r - 3*r + r).\nAnswer: 3*r**4 - 16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.068255 litres in millilitres?\nAnswer: 2068.255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6*p. Let o(l) = -30475*l. Calculate q(o(m)).\nAnswer: -182850*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + -21?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (22\/26 - 1)\/((-273)\/507). Which is the nearest to -9? (a) 23 (b) -0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m - 12*m - 40 = 0. Which is the second biggest value? (a) 2\/11 (b) m (c) 4\/5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h + 2. Let k(d) = -57*d - 312. Let g(r) = -k(r) + 3*t(r). Give g(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 791548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-one quarters of a litre?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-20) - (-36)\/10. Find the third derivative of 69*y**2 + 22*y**4 - 42*y**4 - 123*y**5 + 20*y**j wrt y.\nAnswer: -7380*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72926 rounded to the nearest 100?\nAnswer: 72900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2154 - -15042?\nAnswer: 17216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77837.\nAnswer: 277, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1096300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-122 - -122)*2\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20202)\/(-1820))\/(39\/(-260))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*h + 58. Suppose -15 = 5*y, -5*u - y = y - h. What is the second derivative of -u*a**4 + 7*a + 3*a**4 + 0*a**4 + 6*a**4 wrt a?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 + 6*h**2 + 3*h - 6. Let j(n) = 6*n**3 + 17*n**2 + 9*n - 17. Suppose -3*g + 5*l = 66, 4 + 7 = -g - 2*l. Determine g*k(o) + 6*j(o).\nAnswer: 2*o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 1. Let l(p) be the second derivative of 2*p**3\/3 + 9*p**2\/2 - 37*p - 10. What is 2*f(u) - l(u)?\nAnswer: -2*u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, e: 1, l: 4, f: 12}. Give prob of picking 1 e, 2 f, and 1 l.\nAnswer: 88\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 c, and 1 j when four letters picked without replacement from jggcgggcjgcwgc?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6*u**2 + 27. Let t(h) = h + 26. Calculate t(d(k)).\nAnswer: 6*k**2 + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3479432623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*s, -j - 3*s = -3 - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -15*a + 30. Suppose 26 = -g - 5*o, -21 - 40 = 5*g + 2*o. Is z(g) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 4*n + 5*n)*(4*n**2 - 2*n**3 - 4*n**2) + (-4*n + 2*n + 0*n)*(6*n**3 + 124*n - 124*n).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65\/2 + 34. Let u(n) be the first derivative of 3 + 1\/3*n**3 + 2*n - i*n**2. Factor u(q).\nAnswer: (q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*g + 19 = -36, 5*g = -5*p + 295. Let w = -28 + p. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 503 - 509.46. Let h = a - -6.96. What is the fourth smallest value in -5, 21, 3, h?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12466 divided by -7\nAnswer: 12466\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -26 - 3\/((-6)\/4). Let w = -14 - s. Factor 0 + 3 - 24*n + 5 + w*n**2.\nAnswer: 2*(n - 2)*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 992489 - a?\nAnswer: 99247c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*k + 307*k - 3*p = 25, 4*k + 40 = -4*p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -141abc + -7?\nAnswer: -141ac6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 144.5 - 109. Round x to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 3*m - 18, -3*m = -4*a + a + 30. Solve a*i = 4 + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 27936.\nAnswer: 27936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**6*m + 8*c**4*m + 180*c**3*m + 31*c**2*m + 43*c**2 + m - 1 wrt c?\nAnswer: 240*c**3*m + 192*c*m + 1080*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvyuhha. Give prob of sequence uhvh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17947, 35896, 53845, 71794, 89743, 107692?\nAnswer: 125641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33704013 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 33*t**2. Let w = 3322 + -3304. Let o(c) be the third derivative of 0*c + w*c**2 + 1\/12*c**4 + 0 + 0*c**3. Determine o(p(n)).\nAnswer: 66*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 358*z**3 + z**2 - 13. Let u be k(4). Is 3\/2 - u\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -5 (b) -3 (c) 4.11 (d) 1 (e) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*v + 6 = -38*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33363, -66794, -100257, -133752?\nAnswer: -167279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -34566733 < -34566735?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Suppose o*k - 8 = -2*k. Suppose 0 = -6*a + k*a. Solve 5*l + 20 = 2*r - 4, -3*r + 6 = a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -1.2, -103.58, 2\/5?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070231117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 8375 = 22980 - 5685. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mg when two letters picked without replacement from {g: 2, s: 3, w: 2, n: 2, m: 1, p: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10520370*l**2 + 11831912*l - 2?\nAnswer: -21040740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 5*j - 1894 + 1901 = 0, -5*o - 1 = 3*j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2 - 16. What is the remainder when 54 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2487733444.00000092 + 2487733399. Let b = 115 - 70. Let f = k + b. Round f to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (215 - 497*a - 221*a + 651*a)*(1 + 1 + 1) as y*a + c and give c.\nAnswer: 645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -4838.1.\nAnswer: -9676.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -72, -80, -88?\n\"Answer: -8*r - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86 + 176. Calculate the highest common divisor of 126 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -957 + 1129. Calculate the remainder when x is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 514043.57 to the nearest 100.\nAnswer: 514000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 9*r**2 - 27*r + 7. Let g be i(8). Let q = -6 - g. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22410 and 638685?\nAnswer: 1277370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/sqrt(8) + -1)*-5.\nAnswer: -5*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 3*c + 2*c)*(-3*c**2 - 2*c**4 + 3*c**2) + 50*c**5 - 21*c**5 - 14*c**5.\nAnswer: 17*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 - 5 - -38 - -4. Is q + (0 - (0 - 2)) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npnznelneeepenqnp. What is prob of picking 1 l, 1 n, and 1 z?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 359775 times -0.54\nAnswer: -194278.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/9 and -31\/369?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 29000 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 6 (b) 0.58 (c) -1\/4 (d) -2 (e) 7.1 (f) 4 (g) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 592894638 to the nearest integer?\nAnswer: 24349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3861814 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 7\/4*w**4 + 0*w**2 + 4 + 0*w - 2\/3*w**3. What is the third derivative of p(a) wrt a?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 110 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/9))**5\/((f*f**(-8))\/(f\/f**(4\/7))) assuming f is positive.\nAnswer: f**(398\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 - 10*m**3 - m**3 - 6*m**3 + 0*m**3 - m**3 + 4*m**2 + m**3 - 4*m**2 + 2*m + m**3 - 2*m + (2*m + 0 + 0)*(m**2 - 3*m + 3*m) - 5 + m**3 + 5.\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 3, -2\/3, 25\/6, -4\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*v - 15*v + 17*v. Suppose 56 = 3*g + 4*k + 44, -5*k = v. Solve g*u - w = 15, -4*u = -2*w - 3 - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8277 and 2.\nAnswer: 16554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-4) + 1\/4. Let u be (-5 + f)*14\/(-8). Factor -i**3 - u*i + i**4 + 7*i.\nAnswer: i**3*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 5*q**2 - 2*q - 2. Calculate f(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2337431.\nAnswer: 31, 75401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -393.7497658 take away -1.419?\nAnswer: -392.3307658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -552, -547, -542?\n\"Answer: 5*l - 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p + 6 - p**4 + 3 - 9 - 2*p**2 + 2*p**3 in the form m*p**3 + j*p**4 + z*p + y*p**2 + h and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -121*y. Let o(l) = -3*l**2 - 25*l. Let v(u) = -3*u**2 - 30*u. Let p(r) = 6*o(r) - 5*v(r). Give j(p(k)).\nAnswer: 363*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5756011579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 - 13*u - 41. Let a(b) = 2*b**2 - 14*b - 40. Let q(s) = -4*a(s) + 3*w(s). Determine q(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -719 and -13.1.\nAnswer: 9418.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -2\/15247 (c) -9 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-1))\/(1643\/53)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -34086?\nAnswer: 170430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/110*(55\/52)\/11?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3520 and 19520.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3160, 3165, 3172, 3181?\nAnswer: 3192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ofol when four letters picked without replacement from ocfbbobffl.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77836 or 76769?\nAnswer: 76769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 2 = 6*r. Let y = -859 + 104797\/122. Which is the closest to 0? (a) -0.5 (b) r (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -101*t**2 - 491*t + 9. Give x(-4).\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m + m**2 - 5*m**3 + 2*m**3 + 4*m**3. Let h be w(3). Suppose -2*x - 2*y + 38 = 0, 0 = 4*x - 3*y - 6 - h. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 g when three letters picked without replacement from gvvgvggvgvvvvvvvgvv?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + 1*sqrt(77))*-4)\/((sqrt(42)*-1)\/sqrt(6)).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2546951794 a multiple of 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + i - 46 - 92.\nAnswer: i - 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22140\/1485 + (-12)\/(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 1 + -3)*71. Let b = u - -284. Let g = b - 49. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1)*((-12)\/11 - 4025\/(-2530))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 15*k + 5. Let q(j) = j**2 + 7*j + 3. Let f(n) = 2*b(n) - 5*q(n). Let g be f(-4). What is the units digit of g\/3 + 7\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(-5))\/(1\/5). Suppose -55 = -o*v + 45. Let l = 12 + -8. Solve 0*b + v = -l*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*w + 93*w + 3225 + 89*w - 3225 + 6*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41187*t**2 + 52097?\nAnswer: 82374*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 11 - (5 - 5). Suppose l*h - 3*h + 336 = 0. Let j = 104 + h. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtbltbgid. Give prob of picking 1 b, 1 t, and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*p**4 + 3274987*p**3 - 35555758*p wrt p.\nAnswer: -108*p**2 + 19649922*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**5\/60 + i**4\/8 + i**3\/3 + 3*i**2. Let x be -1 + 6 - 0 - 2. Let j be p(x). What is the closest to 1 in -4\/7, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**17*p*p**(-1\/7)*p*p*p)\/(p*p\/(p**12*p)*p*p**(-15)) assuming p is positive.\nAnswer: p**(321\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 11:43 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a millennium in centuries?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1180 and 8619.\nAnswer: 10170420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -20271187?\nAnswer: 40542374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 2)*(605 + 187*q - 605).\nAnswer: -935*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3267952123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - 52. Let x be -2 + (-276)\/((-16)\/4). Let h = -334\/5 + x. Which is the closest to 2? (a) v (b) h (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49278.46 litres to millilitres.\nAnswer: 49278460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + 101001001011000000111?\nAnswer: 101001001011000000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3 + (-20)\/(-6). Let y(h) = h**2 - 2*h - 4. Let s be y(c). Let w be (-22)\/(-18) + 2\/(-9). What is the highest common divisor of s and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*m - m. Let v = m - -24. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 18, 37, 56, 75?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-7) - (-72)\/(-7). Let t(c) = 4*c**4 - 36*c**3 + 54*c**2 - 16*c + 4. Let p(g) = -g**4 + g**3 + g. Let s(i) = b*p(i) + t(i). Factor s(w).\nAnswer: 2*(w - 1)**3*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/16 and 35\/258.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 589497.12ns?\nAnswer: 0.0000001637492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 5324.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.1327104 weeks?\nAnswer: 80263.24992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 193780 = -4*f, 11*v + 193708 = 4*f + 12*v. List the prime factors of f.\nAnswer: 5, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4\/6 + 35*i**3\/6 + 5*i**2 - 80*i\/3 - 80\/3.\nAnswer: 5*(i - 2)*(i + 1)*(i + 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -536 - -4831\/9. Let b = -1 + p. Suppose 22*j - 25*j = 10*y - 31, 5*j - 40 = -5*y. Is b at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0526650754 rounded to 3 decimal places?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 134 = -40. Let a be (-120)\/3 + -1 + 1. Let k = a - c. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/5)\/((-2)\/65). Suppose 4*y + 0*y = m. Calculate the remainder when y is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 391382750 a multiple of 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(320) - 6*(sqrt(320) + 0))**2.\nAnswer: 8002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - d = 54, 0 = -4*f - 0*d + d + 73. Let k = 2332 - 5458. Let z be k\/(-15) - (7\/5 - 2). What is the greatest common factor of f and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-6)*1)\/(-5)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 8805389?\nAnswer: -8805390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfc when three letters picked without replacement from ccfcccccfccccfcc.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from snwssnfsidssisssisn. What is prob of picking 1 f, 1 i, 1 s, and 1 d?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -747*a**3 - 27*a**2 - 49*a - 11. Let i(d) = -187*d**3 - 8*d**2 - 12*d - 3. Let g(o) = -22*i(o) + 6*k(o). Find the third derivative of g(v) wrt v.\nAnswer: -2208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120.4 + -195.7. Let d = -83 - -2. Let o = d - l. Round o to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 1152423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 29724*r - 110439522.\nAnswer: -2*(r - 7431)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59497*p - 62001*p = -120192 for p.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + c + 27. What is the remainder when n(-5) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -c, -k + 3*c - 4*c = -4. Let y be (-21)\/k - 2\/(-6). Let q = 5 + y. What is the highest common divisor of 6 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-5)**2 + -3.\nAnswer: 2472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + x)*((3*x - 4*x + 2*x)*(1 + 1 - 5) + x - 2 + 2) + (-3 + x**2 + 3)*(-1 - 3 + 5) in the form k*x**2 + m*x + w and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*z - 1131 + 565 + 566 + 3*z - 3*z + z + (-3 - 1 + 6)*(2 + z - 2) + 0*z - 2*z + 4*z - 3*z - 2*z + 7*z to n + a*z and give a.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5716 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: Find the common denominator of -58\/6485661 and 62\/209703039.\nAnswer: 629109117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -5, -77 in ascending order.\nAnswer: -77, -17, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -12. Let q(k) be the third derivative of 0*k**5 - 1\/60*k**6 + 1\/48*k**8 + 0 + 0*k**4 + 0*k - 2*k**2 - 1\/42*k**7 + 0*k**y. Factor q(f).\nAnswer: f**3*(f - 1)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68111?\nAnswer: 68111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*g + 12, 2*g + 8 = -2*a - 3*a. Let n be (-2)\/g*(2 - 8). Which is bigger: -8 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/921 and 113\/3684.\nAnswer: 3684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 13*j**2. Let k(y) = 2*y**2 - 1055217. Give k(x(b)).\nAnswer: 338*b**4 - 1055217","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -24*r + 26*r - 4*b, -2*b + 62 = -4*r. What are the prime factors of (16 + -1)\/((-1)\/r)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378116*g**2 + 13*g**3 - 26*g**3 + 378116*g**2.\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19532488 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1024)*1)\/((sqrt(8) - -3*sqrt(8)*-6) + sqrt(8)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*y - 1464 = 315*y + 1161 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -71. Let x = -38 + 53. Factor 196*m**4 + 210*m**t + 337\/4*m**2 + 1 + x*m.\nAnswer: (4*m + 1)**2*(7*m + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -457, -2\/3, -0.0116?\nAnswer: -457","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*c + 2*c. Let s be (2 + (c - 1))\/(-1). Suppose -2*t - t - 9 = s. Is t greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-3\/5)*n*n*n)**(-44)*(n\/(n\/((n\/(n*n\/(n**3\/n)))\/n)*n))**(-15\/11))**(2\/15) assuming n is positive.\nAnswer: n**(-16306\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 765 = 17*w + 646 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011463 rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34093896 by 5682316.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 1. Let v(g) = -4*g**2 + 12*g**2 + 4*g + 4 - 7*g**2 + 0. Determine -12*b(i) - 3*v(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1022 - -2012221?\nAnswer: 2013303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -8*y**3 + 2*y**2 + y. Let c(i) = -23*i**3 + 5*i**2 + 3*i. Calculate -6*c(g) + 17*z(g).\nAnswer: 2*g**3 + 4*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -66, -112, -182, -282?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 2*x + 3*x)*(11*x**2 - 20*x**2 + 13*x**2).\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 m when two letters picked without replacement from rmrrffrfrfr?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 6*i**2 - 6*i - 7. Let z be a(7). Solve z = 4*n + 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k + 4. Let t(b) = -3*b + 3. Let g(s) = 3*t(s) - 2*v(s). Give g(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14910774\/43 or 346762?\nAnswer: 346762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8*u + 280. Calculate b(-36).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (16 - 4) - 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110 + 122011?\nAnswer: 201121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 3 (b) 2\/11 (c) 0.07 (d) 5 (e) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 5*m**2 + 3*m + 14. Let g be q(6). Sort 2, g, 4 in decreasing order.\nAnswer: 4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -40, 2, -2, 31, -5, 0 in ascending order.\nAnswer: -40, -35, -5, -2, 0, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 43697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 34*z**2 - 14*z**2 - 8*z**2 - 15*z**2. Let j(o) = 9*o**2. Calculate w(j(a)).\nAnswer: -243*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 197 = -3*z - 3*j, 2*j + 8 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {f: 9, q: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = 4*g - 671. Let o = g + 59. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20552683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 e when four letters picked without replacement from {e: 3, m: 4, n: 6, u: 2, h: 1}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) 1 (c) -3 (d) -131\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/12))**6 assuming g is positive.\nAnswer: g**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 622190000 to the nearest 1000000.\nAnswer: 622000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 12*w + 0 + 8395*w**2 + 0 - 8397*w**2. Let f(l) = -14*l. What is m(f(c))?\nAnswer: -392*c**2 - 168*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287248377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhmththvhtvmuvummotu.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n = -5*o + 18, 3*o + 5*n = 22. Determine h, given that -34*h - 28*h**4 - 9*h**2 - 4*h**2 + 33*h**o + h**5 + 44*h - 3*h**3 = 0.\nAnswer: -5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 12. What is y(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d**4 - 2*d**5 + 7*d**5 + 4*d**4 - 3*d wrt d?\nAnswer: 100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + (-17 + 64 - 15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 2*(0 + sqrt(17)) + sqrt(17) + sqrt(153) + 1)**2.\nAnswer: 14*sqrt(17) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65601 and 2226888?\nAnswer: 1773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -364*t**2 - 374*t**2 + 728*t**2.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 5:22 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61278794?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 249 + -248.15. Put 3, -1, l in increasing order.\nAnswer: -1, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8192980 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 0*p**2 + 0*p**2)*(0*p - p + 3*p) + (0 - 2*p**2 + 0)*(-5*p + 9 - 9).\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479867.\nAnswer: 541, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z - 2. Suppose 3*c + 4 - 10 = 0. Let u be f(c). Solve 2 = -q + 2*g - u, 4*g = 3*q + 32 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwg when three letters picked without replacement from {w: 6, g: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*s - 1541 = 8*s, -4662 = -3*w - 4*s. Is 25 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/165*2774\/(-4). Let i = m - 127\/5. Let u(s) = -s**2 + 4*s + 3. Let x be u(4). Sort -1\/8, i, x in descending order.\nAnswer: x, -1\/8, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 241192 and 4215896?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3*-71*(5 + 7). Let j be y\/36 + 2\/(-9). Suppose 3*o + 2*o + 75 = 0. Which is smaller: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 - 2*c**2 - 9. Let j(k) = -3*k**3 + k**2 + 8. Determine -3*j(u) - 2*n(u).\nAnswer: 5*u**3 + u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -0.2, -2\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.22 + -0.32. Let g be 48\/(-216)*(39\/90 + -1). Let l = g + 1\/135. Which is the nearest to 2\/13? (a) -2\/7 (b) i (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 0*g - g)*((10 + 1 - 2)*(-4 + 4 - g**2) - g**2 - 4*g**2 + 3*g**2).\nAnswer: -22*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20870*i**3 + 2*i + 13487*i**3 - 2*i + 17164*i**3.\nAnswer: 51521*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222 (base 3) to base 4.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-72)\/16)\/((-2)\/28). Let f be 9\/(c\/35) + 4. Solve -2*u - f = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 1:07 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116898.1 millilitres to litres.\nAnswer: 116.8981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 22*d. Let w(q) = 10*q. Let s(z) = -4*j(z) + 9*w(z). Let u(g) = -63*g. Give u(s(f)).\nAnswer: -126*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((220\/585)\/(-11))\/(420\/1890).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 307\/(4605\/(-18))*50\/(-21). Factor -36*y + 132\/7*y**2 - z*y**3 + 108\/7.\nAnswer: -4*(y - 3)**2*(5*y - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 41 (b) 0 (c) 3 (d) 0.219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 29, 119, 269, 485, 773, 1139?\n\"Answer: c**3 + 24*c**2 + 11*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 458, 465, 482, 515, 570, 653, 770?\n\"Answer: i**3 - i**2 + 3*i + 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 4*i - 3*i)*(9 + 5 - 42)*(68 - 32 + 73)*(1 - 3 + 1).\nAnswer: -3052*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.521 to two dps.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3324*t**4 - 1340*t**2 + 2 wrt t.\nAnswer: 79776*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*f = -6, -m + 4*m = 5*f + 13. Let c be 8\/(-16) - 2\/m. Solve -5*x + 10 = -c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 7*y**2 + 34*y - 7. Determine t(-10).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 - 0.4. Let x = 374447 + -374443. What is the closest to 1 in -4, x, 2\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 958*o**4\/17 - 9668*o**3\/17 - 22210*o**2\/17 - 11584*o\/17 = 0. Calculate o.\nAnswer: -1, 0, 5792\/479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 2709*a - 2060060. What is c(-619)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 11*w + 4. Let l(t) = 4*t**2 - 33*t - 11. Let c be (1\/1)\/(18\/(-36)). Let j(p) = c*l(p) - 7*q(p). Does 9 divide j(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n - 2. Let b be f(-5). Solve b*r + 8 = 4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + e2?\nAnswer: dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3417190 and 350.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - 79*n - 204. Give r(42).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 486*p**2 - 24*p + 47. Is 3 a factor of g(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + 1054*h**2 + 2 - 1056*h**2 + 16*h**4 - 15*h to the form z*h + g + i*h**2 + a*h**3 + s*h**4 and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 138 + 130 = 0. Let z be p\/14*(-49)\/(-21). What is the third smallest value in z, -3, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 266406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*k + 842, 18*j = k + 21*j - 182. Calculate the remainder when k is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a second in milliseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33243961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*u + 391805 = -608925. List the prime factors of u.\nAnswer: 23, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-8))\/p)**42\/(p**4\/p*p*p**(-16)) assuming p is positive.\nAnswer: p**348","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.53, 13, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*i + 68 + 44. Suppose -3*x + 2*n = -4*x, -3*x + 2*n + 16 = 0. Solve 0 = 8*g - x*g + i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 14. Let s = 4 - g. What is the second derivative of -s*d**4 + 2*d + 4*d**4 + 9*d**4 wrt d?\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*c)*(2*c**4 - 2*c**4 - 2*c**4) + 4*c**5 - 3*c**5 + 6*c**5 + (-c**4 + 3*c**4 + 0*c**4)*(0*c - 7*c + 4*c).\nAnswer: -3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 0 (c) -1 (d) -122 (e) 4 (f) -66\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29433\/8 or 2\/155?\nAnswer: -29433\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((80\/(-12))\/5)\/((-26)\/(-39))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 284\/20)*(-40)\/(-12) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16210655 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 4*c + 133. Suppose 3*i = 4*w + 233, c = i + 5*w + 30. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91872?\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43421 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (-2)\/(-2)*2. Suppose 6*s + 0 - 84 = c. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 12 = -4*t. Suppose -5*z + 26 = t*j, -1 - 15 = -3*j - 2*z. Solve -5*p - o - 4 = 0, -4*p + j = 2*o + 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 - -14932999.\nAnswer: 14932992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 1, l: 4, p: 2, z: 1}. What is prob of picking 1 v and 1 z?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -529*j + 1625. Let b be l(3). Let t = 5 + -3. Calculate the highest common factor of t and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10180\/36 + (-12)\/(-54). Let r = x - 283. What is the closest to 5\/3 in r, -0.1, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*z - 39 = -105*z + 3*y, 5*z - 35 = 2*y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 13. Suppose h*g = 3*g. Suppose -2\/5*d - 2\/5*d**2 + g = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-168)\/(-70))\/(6\/40). Suppose 0 = -p*f + 20*f - 5*m - 1023, -m - 759 = -3*f. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l - 17*l = -4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v. Suppose v = -5*z - 3*l + 7*l + 5, -2*z + 4*l - 10 = 0. Solve -2*h - 20 = z*d, 3*d + 5 = -h - 6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve sevenths of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -740*s**5 - 827*s**2 + 2 wrt s.\nAnswer: -44400*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3605, 3604, 3603, 3602, 3601, 3600?\nAnswer: 3599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 4*i + 3. Let o be k(6). Suppose 0 = -0*m + 2*m + 4*v + 972, 0 = -3*v - o. Let w = 679 + m. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -31*j**2 - 58*j - 6977. Let q(a) = -32*a**2 - 61*a - 6974. Let w(p) = -4*q(p) + 5*u(p). What is the first derivative of w(y) wrt y?\nAnswer: -54*y - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13594.71027 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-52)\/(-4) + -21)\/(0 - 1). What is the closest to -1\/2 in -2, j, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 2 - -13) + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 100389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34293?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 526571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-416)\/2128 + 18\/126.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000 (base 2) in base 4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 72440 + 42?\nAnswer: 72482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1554723 by 1.\nAnswer: 1554723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 + 45 - 4*o**2 - 56 to the form q*o + c*o**2 + f and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r**(-8\/7)*r))**(-20)*r**(-7\/3)\/(r*(r*r*r**4)\/r*r*r) assuming r is positive.\nAnswer: r**(-1117\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -52, -5859.\nAnswer: -5859, -52, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1080, 2167, 3254?\nAnswer: 4341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*w = 0. Suppose w*z + 36 = z. Suppose 4*a - z = a. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35517.5 and 0.1302.\nAnswer: -35517.3698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 53*w**4\/24 + 3*w**2 - 28. Let h(o) = -o**3 + 3*o**2 + 3*o + 5. Let b be h(4). What is the tens digit of s(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-10)\/8)\/((-27)\/216)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*a**2 + 0*a + 2 - a - 2 + 2 as t + j*a + i*a**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*x = 339*x - 650*x - 14280. What is the lowest common multiple of 51 and x?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12107525535.4 + 48.3\nAnswer: -12107525487.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 5*q + 68, -20 = 5*q - 0*q. Calculate the greatest common divisor of w and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 14 - -1) + (-70 - -74).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19689937 * 3\nAnswer: -59069811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, m: 2, f: 8, r: 4}. Give prob of picking 2 f and 1 m.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (90\/(-20))\/(3\/(-4)). Suppose -15*h + 12*h = -t. Solve h*b = 4*b + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s**3 - 3*s**2 + 7*s + 5. Let t(u) = u**2 - u - 1. Let r(i) = -d(i) - 5*t(i). Determine c, given that r(c) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2091.3 - -2091.414363. What is u rounded to 3 decimal places?\nAnswer: 0.114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/44 and -15\/3872.\nAnswer: 3872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 55*q**2 - 66*q + 66. Let c(o) = -1 + 0*o + 5*o - 4*o - o**2. Let u(f) = -66*c(f) - n(f). Let g(r) = 2*r**2. Calculate u(g(d)).\nAnswer: 44*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 101133222 (base 4) to base 7\nAnswer: 415626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145097211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q. Let j(h) = -4*h. Let t be 12\/(-18) - (-39)\/(-9). Determine t*x(a) - 8*j(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -249*a. Let q(z) be the third derivative of z**4\/3 - 910*z**2. What is m(q(r))?\nAnswer: -1992*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 116 = -172. Let c(u) = -u - 3. Let z(f) = f + 2. Let y(h) = 2*c(h) + 5*z(h). Let i be y(4). What is the highest common divisor of i and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 71\/4 of a microgram?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (0 + -2*sqrt(1573) - (1 + sqrt(1573) + 0)) + (1 + sqrt(1573) - sqrt(1573))*2*6)**2.\nAnswer: -660*sqrt(13) + 14257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4*m = 0. Let b(h) be the first derivative of m*h - 3 - h**3 + 1 - 2*h. What is the first derivative of b(k) wrt k?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 1168 = -3*b - 1190, 3*b - 5*j - 180 = 4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 3*o + 50, 0 = 4*m + 2*o + 2*o - 48. Put m, -4, 4, 0 in descending order.\nAnswer: m, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 31, 4, -3, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)\/(sqrt(72)\/sqrt(9)) - sqrt(24)) + sqrt(24) + -4*sqrt(2904) + sqrt(24))\/(sqrt(8) + (sqrt(8) - sqrt(32)*4) + sqrt(72)*3).\nAnswer: -14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 687, 660, 653, 672, 723, 812, 945, 1128?\nAnswer: 1367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-10))\/3)\/(((-64)\/(-880))\/(-2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -0.071, 4951, -1\/3?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxwfwmwwpwwfxmw. Give prob of picking 1 p and 1 x.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -42, -11, 22, 57, 94, 133, 174?\n\"Answer: c**2 + 28*c - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1139.9*1.1\nAnswer: 1253.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 814777638 to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Suppose x*p + c = 2*c - 3, -27 = 5*p + 4*c. Does p = -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 q, and 1 a when four letters picked without replacement from qqqqavqaqqqv?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 13 + 7)*(0*r + r + r)*(-4 - 1 + 4).\nAnswer: -48*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1242780 (base 13) to base 12.\nAnswer: -1aa4520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a minute in seconds?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 - 14*p**2 - 34*p + 104*p - 1 + 65*p.\nAnswer: -14*p**2 + 135*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14292180 and 393224?\nAnswer: 371596680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4421 + -4421.1881. What is c rounded to two decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1381 + 2690. Is k a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*l - 716, -5*l + 4*j + 922 = -0*l. Suppose 5*x + p = 5*p + l, -4*x + 142 = -2*p. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41301 (base 8) to base 6\nAnswer: -211041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 819105.2l in millilitres?\nAnswer: 819105200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1504196508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2027 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12715 and -0.5?\nAnswer: 12714.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 42?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11134, 22266, 33398, 44530?\n\"Answer: 11132*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 2*k**2 + k - 4. Let q be a(3). What is the tens digit of 20\/(-6)*36\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 667 + 3?\nAnswer: 66a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2 + 2*y + 1. Let d be h(-1). Let a be (-6)\/d*1084\/(-12). Let m = -48 + a. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.5, 4139268, 0.06 in ascending order.\nAnswer: 0.06, 0.1, 0.5, 4139268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -18*u**3 - 2*u**2 + u + 1. What is q(-2)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 337 - -222. Let b = z - 556. Calculate the remainder when 5 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 40. Solve -10 = g*z + z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8788 and 32.\nAnswer: 70304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19941, 19381, 18821, 18261?\n\"Answer: -560*m + 20501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = t - 0*u - 18, -5*t - u + 42 = 0. What is the least common multiple of 9 and (-1)\/2 - (-68)\/t?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*m = -40, -3*m + m - 24 = -3*f. Let t = 781 + -408. Let p = t + -357. Calculate the greatest common factor of p and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54101793?\nAnswer: 3, 18033931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 12*v - 11. Suppose -12 = -4*m - 0. Let q(n) = -11*n + 10. Let t(i) = m*d(i) + 4*q(i). What is the first derivative of t(k) wrt k?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/5, 0.2, -55.\nAnswer: -55, -0.3, -1\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 4*q**2 + 0*q**2)*(4*q**2 + 2*q**2 - 4*q**2) + (1 - q - 1)*(-5*q**3 + 5*q**3 + 5*q**3) + 3*q - 3*q - 2*q**4.\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - 17070*a - 728. Let o(x) = 2*x. What is o(v(p))?\nAnswer: 4*p**2 - 34140*p - 1456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*k - 7*k. Let g = -155 + 171. Let r = g + k. Calculate the greatest common divisor of r and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -544391, -1088780, -1633169, -2177558, -2721947?\n\"Answer: -544389*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i = -10. Solve -v - 1 + i = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/(-2)*(-964)\/(-6989)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 4180 + 1210 = 0. Calculate the greatest common divisor of d and 9603.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 20*z**2 + 15*z - 76. Let p be w(-19). Solve v - 1 = -p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.166 - 0.134. Which is the smallest value? (a) f (b) 2 (c) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 228015597?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-21) + 41\/3. Suppose -2*a - 8*a = -20. Let i(v) = 17 - 2*v**2 + 3*v**a - g + 4*v. What is i(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 200 = 4*w - 5*g, 3*w - 140 = 4*g. Suppose 4*s = -0*s + w. Let a be ((-10)\/3)\/((-8)\/s). Solve 7 = 3*h - a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - 2*q - 5*q)*(1 - 2 + 0)*(-1 + 10 + 1) in the form i + g*q and give g.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-8)\/((-280)\/(-21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1887?\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.5, 0.2, 1\/3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1.5. Suppose -2*x - 3567 + 3575 = 0. Which is the closest to 0.4? (a) -0.2 (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**3 - 4 - 2*k**3 + k**3 + (-66*k - 302 + 302)*(-k**2 - 2*k**2 + 2*k**2).\nAnswer: 68*k**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(24\/(-4801)) + (-7)\/42. Let a = -493 + b. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(66)\/sqrt(3))\/sqrt(2) + ((sqrt(99) + sqrt(99)*-2 + sqrt(99))\/sqrt(9))**2 - (-2 + sqrt(99) + 0)**2).\nAnswer: -39*sqrt(11) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 200\/80)\/(10\/(-116))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/28*(-112)\/(-168)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500605 at least 1500606?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4287, -4296, -4309, -4326, -4347, -4372, -4401?\n\"Answer: -2*t**2 - 3*t - 4282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -2*n**5\/5 - 105*n**4\/4 + 349*n**3\/3 + 346. Find the third derivative of o(v) wrt v.\nAnswer: -48*v - 630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20906521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.77162528 rounded to three dps?\nAnswer: -0.772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 52698, 105433, 158204, 211011?\n\"Answer: 18*z**2 + 52681*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.5, 2\/7, -7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2812 - 1993. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 922737 and 23?\nAnswer: 922737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/56)\/(14\/245*5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**4 + 134*i**3 + 376*i**2 - 512*i = 0?\nAnswer: -64, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.37 + 0.67. Which is the nearest to 0.1? (a) -5 (b) 9 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 1. Let j(d) = -3*d + 6. Give -j(r) - 4*v(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.469 and -0.364946.\nAnswer: -1.833946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 3:27 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4382376)\/(-114) + (-78)\/(-741)?\nAnswer: 2, 3, 43, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (-104)\/(-20))\/((-2)\/5). Suppose j*o + 2589 = 11*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*m + 25, -q + 5*m - 20 = -0. Solve q*a - 2 = -7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1031, 1044, 1057, 1070, 1083, 1096?\nAnswer: 1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*c + 5*c. Let z be (-3 + 1891)*(c - 2). Suppose 108 = -10*o + z. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 46, -5 in descending order.\nAnswer: 46, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6558.69932 + -6557.2. Let o = -6 + 4.5. Let i = x + o. 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: Let h be -6*(4\/(-3))\/(4\/(-9)). Which is bigger: h or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 3:41 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j**3 - 80*j**2 + 3. Let v be t(16). Factor 4\/11*m + 2\/11*m**2 + 0 - 2\/11*m**v.\nAnswer: -2*m*(m - 2)*(m + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) 0.1 (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1958487 rounded to the nearest ten thousand?\nAnswer: 1960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p*t**3 + 24730051*p*t**2 + 24*p*t - 39*p + 34*t - 21 wrt t.\nAnswer: 12*p*t + 49460102*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 12:09 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 216625 (base 7) to base 14\nAnswer: ddbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99187503?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 11*o - 20. Let l be j(8). Suppose -30 = -r + l*u, 2*r + 2*u - 54 = 26. Calculate the greatest common divisor of r and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 28 = 2*y, -3*i - y - 2 = 3*y. Suppose -i = h - 13. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = 2*y. Let w be 0\/(((-6)\/3)\/(-2)). Suppose -6*h + 11*h - 15 = w. Solve 10 = -h*i + y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -22*z**3 - 8*z + 8. Let l(g) = -g + 1. Calculate -c(k) + 8*l(k).\nAnswer: 22*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**2 - 38\/3*j**3 - 49*j - 17\/24*j**4 + 0. What is the derivative of k(s) wrt s?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47.54 + -47.84. What is the nearest to -337 in 1, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 95975?\nAnswer: 191950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6962629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a*n*r**3*z + 424*a*n*r**2*z - a*n - 6*a*r**2 - 2*a*z - 2*n*r**3 + n*r**2 + 2847*r**3*z wrt r.\nAnswer: 18*a*n*z - 12*n + 17082*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x. Let r(o) be the second derivative of 25*o**4\/12 + 8*o. What is r(f(w))?\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136 and 860?\nAnswer: 29240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 70 + -57 + (3 - -12) + 5\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22860 + 205676\/9. Let i be 2\/8 + (-14)\/(-8). What is the common denominator of (-77)\/(-54) + 1\/i and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.68? (a) 1 (b) 49 (c) -18 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c (base 16) to base 7.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 3)\/(((-96)\/42)\/8). What is the hundreds digit of 4*-318*l\/(-56)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8854166?\nAnswer: 2, 4427083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 1. Let h(d) be the second derivative of d**3\/6 + 3*d**2\/2 - 2*d. Let z be h(-3). Calculate y(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 6:17 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -29 (b) -5\/6 (c) -1\/3 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**3 + 21*q**2\/2 - 24*q - 140. Factor u(i).\nAnswer: 3*(i - 1)*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-4*m**5 + 6*m**5 + 0*m**5) + m**5 - 3*m**5 + 0*m**5.\nAnswer: -6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c + 8. Let q(x) = -8*x + 17. Let t(g) = 7*o(g) - 3*q(g). Let b(s) = s - 1. Give 3*b(p) + t(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 78174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*f + 9, 5*i + 5 = -3*f + 6*f. Let c be (-11 + f)*(-2)\/4. Solve 0*b - 6 = c*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2071 is divided by 413?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -6. Let x be (4 - (-1 - -1)) + -2. Put -4, y, x in ascending order.\nAnswer: -4, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 6. What is r(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1122*f*l**5 + 2*f*l + f + 17*l**5 - 634*l wrt l?\nAnswer: -22440*f*l**3 + 340*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -74 - 7425?\nAnswer: -7521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 + 64 = -5*k. Suppose z - 6*z = -k, 135 = 5*u - z. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayvioiaaivaiiaa. What is prob of picking 1 a, 1 y, and 1 i?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1086, 10768, 22622, 34476?\nAnswer: 46330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-172536)\/(-1365) + (1 - (-2)\/20*-14). Suppose 0 = 4*b + 117 - 625. Is v greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13408187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26.5 - -27. Let o be (-1)\/2 - (-2)\/(-8). Which is the closest to w? (a) -5 (b) o (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 135*x**5 + 805*x**4 - 4755*x**3 + 6655*x**2 - 2940*x + 100 = 0.\nAnswer: -10, 1\/27, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((d*d**(-7))\/d))\/d*d*d**(2\/3))\/(d\/((d\/(d*d\/(d*d\/(d\/d**1)*d)))\/d))**(-50))\/(d**(-1\/6)\/(d**9*d))**(1\/12) assuming d is positive.\nAnswer: d**(685\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1142 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/3? (a) -701 (b) 1\/4 (c) -4 (d) 5\/6 (e) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 5. Suppose -3*o = 6 + 3, 11 = -2*v - c*o. Let j(m) = -1 + 0 - v*m**2 + 1. Let w(g) = g**2. Determine w(j(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006410477785 to five decimal places.\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*(t\/(t\/((t\/(t*((t*t**(-1\/2))\/t*t)\/t))\/t)))\/t))\/t*t**(-2\/9)*(t\/(t\/t**(-4)))\/t*t*t\/t**(3\/2) assuming t is positive.\nAnswer: t**(-38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1 - 1 + 1 + 1 + (4 - 3 - 4)*(2 - 2 + 2))*(-8*f + 10*f**3 + 8*f).\nAnswer: -30*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b = 45 - 173. Solve 8*n + b*n = -60 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(33)*-3)\/sqrt(3) - sqrt(11))**2 + 2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 922482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14536660, 29073314, 43609968, 58146622, 72683276, 87219930?\nAnswer: 101756584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1281095888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j - 32. What is the units digit of u(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 207 + -165. Calculate the highest common divisor of p and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/32)\/(3\/(-6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 2:11 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/8)\/2*2\/12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301487246.\nAnswer: 2, 937, 160879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24 + (-2)\/(-1) + 0. Suppose 0*u - u = b. What is the remainder when 20 is divided by (-2)\/(-4) - u\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2, 0, 0.231?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4464 and 156528.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 1 - 3 = -2*d, -3*n = -5*d + 26 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 1 + -4 + (330 - 284)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*h**2 + h + 14*h**2 - 3*h + h.\nAnswer: 43*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -801 - -4847\/6. Let s = -839 - -25. Let y = -4042\/5 - s. Find the common denominator of l and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0044 + 5557.\nAnswer: 5556.9956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 568852.0001472 - 568832.8. Let x = 19.2 - r. Round x to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 95 = 12*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b. Let z(u) = -u + 0*u - u - 3*u. Calculate p(z(l)).\nAnswer: -25*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 + -35. What is the remainder when 55 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + w - 5*w = 54, -89*m - 3*w = -90*m + 31 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -8) + (52 - 58)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g - g + 9*g in the form i*g + k and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*3 - ((-630)\/(-140) - 2\/(-4))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 23*t. Let u = -0.158 - -2.148. Let s = -0.01 - u. Which is the nearest to t? (a) 3 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 488492026 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 23*r**2 + 30*r - 48. Let k be u(24). What is the highest common factor of k and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/1*(2\/2)\/((-48)\/(-24))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.121588269 to 5 dps.\nAnswer: -0.12159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y = -5, -5*d + y = -20. Suppose -6*n + 126 = -3*n + v, 4*v - 126 = -d*n. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 6. Suppose 4*y + 7 = 15. Suppose 2*s + y + 4 = -2*v, 2*v + 18 = 4*s. Let b be 0 + 1 + s\/(-2). Calculate q(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 64 = -y, -k = -3*y + 2*y - 64. Calculate the remainder when k is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6125 + -6134. Let c(g) = g**2 + 11*g + 14. Determine c(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/(-60))\/((-2)\/(-3)). Suppose x - 9 + 3 = 0. Suppose 2*p = -3*a - p - x, a + 20 = 5*p. What is the second biggest value in 2, i, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1248 is divided by 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b. Let v(s) = 141*s**2. Give c(v(g)).\nAnswer: 282*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c2555 (base 16) in base 9?\nAnswer: 12323684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3*m + 20*h**2*m*y + h**2*y - 128*h**2 + 5*h*m + h*y + 3*m*y - 3*m - 20*y wrt h?\nAnswer: 12*h*m + 40*m*y + 2*y - 256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-36)\/(-24))\/((-3)\/(-10)). Suppose -2*b = 2*a - 4, -8 = l*a + 2. Suppose 3*i = -5*f + 22, 29 - 13 = b*i. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 - -0.5. Let j = z + -2.0028. What is j rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0 (c) -492 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108096216 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 182004522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 + (-75)\/(-20) - (-280969)\/52?\nAnswer: 3, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2*480\/(-18))\/((-4)\/(-18))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2679639.\nAnswer: 3, 893213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y - 5*q = -70, 0 = -3*y - 3*q + 87. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x - x**3 + 3*x - 6 + 50*x**2 - 46*x**2. What is the units digit of k(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (sqrt(72)\/((-1*sqrt(30))\/sqrt(5)))\/(sqrt(96)*-1 + sqrt(6) - (sqrt(6) - (sqrt(24)\/sqrt(2))\/sqrt(2))))*-6.\nAnswer: -18 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 10:13 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4df8a (base 16) to base 12\nAnswer: -1349a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a week in seconds?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 483614\/1013 less than 477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by 4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -12. Let u(s) = 8*s. Let j be u(1). Let y = 5798.5 - 5798. What is the fourth biggest value in y, 0.3, l, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -9.7, 2\/7 in descending order.\nAnswer: 2\/7, -0.1, -9.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2159 - -2163. Suppose 25 = -5*g - 5*n, 0*n - 15 = 3*n. Solve 0 = -g*d + o*d + 3*i - 2, 4 = -d - 3*i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by -7.\nAnswer: 31\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i**2 - 3*i + 2. What is j(-2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -12*z + 1. Let j(a) = 2065*a - 59. Let d(x) = -3*j(x) - 177*q(x). Let y(r) = 2*r. Calculate y(d(t)).\nAnswer: -8142*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 2. Let s be y(3). Let a be s*(3 + -2 - 1). Suppose 25 = 5*w - a*w. Solve -w*d - 3*r + 20 = 0, -d = -6*r + 3*r + 14 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3200 and 32?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4613550?\nAnswer: 2, 3, 5, 30757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 71.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**3 - 2*c**2. Let w(t) = -2*t**3 + t**2. Let i(s) = s + 3. Let k be i(-8). Calculate k*w(a) - 3*j(a).\nAnswer: a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 20 = 0, 0*h + 636 = -4*o - 3*h. Let j = 232 + o. Let y = j + 23. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 32. Calculate the smallest common multiple of 52 and w.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 74?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1*1*(-4441 - (-418)\/(-19)) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2452729.\nAnswer: 19, 167, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1982 = -341*q + 8461 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**3 + 6*f**2*k + f*k + 88*f wrt f?\nAnswer: 6*f + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2*y - 366*f**2 + 151*y**3 wrt y.\nAnswer: f**2 + 453*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 10 + 6*f - 15)*(0 + 0 - f).\nAnswer: -6*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -470800 divided by -40?\nAnswer: 11770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 400777\/6652 - -3\/3326. Let s = -61 + g. What is the biggest value in 0.1, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1.1, 2\/3, 3362, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 202310 (base 4) to base 3\nAnswer: 10001112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**4\/4 + 2*g**3\/3 + 3*g**2 - 5*g - 8. Determine z(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 - 4*x + 17. Determine g(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + 139. Suppose r*m = 154*m + 22. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -632 - -621. Let c(n) = -n**3 - 12*n**2 - 8*n + 35. Let b be c(l). Solve 3*a - b*a = 5, 4*p + 5*a - 21 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0839 - -0.3839. Let j = -283851\/20 - -14182. Let x = j - -52\/5. Which is the second biggest value? (a) x (b) v (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 147?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7860436?\nAnswer: 2, 1965109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 9 + 1 - 2 + 2 - 2 + 1 - 1 + (-2 + 2 + 2)*(0 - 3 + 5))*(-4*u - 2*u + u)*((2 - 6 + 2)*(u + 4*u - 4*u) + 3*u + 0*u - 2*u).\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1296800 divided by -3242\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, -2, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*c + x + 4, x - 3 = -5*c. Solve 2*g = -3*o + 22, 3*g + c = 2*o + 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 155\/4 (c) -0.3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-140)\/21 + 6)\/((-5)\/(-3)). Let v be (-3)\/(-5) - (-15)\/(-25). What is the nearest to -1 in v, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18b2c5 - -3?\nAnswer: 18b2c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151959?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, -2, -93, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 15*i**2 + 14*i - 97. Let l be c(-16). Is l equal to -64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 0*y - 3*b + 13 = 0, 3*b - 7 = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -27*b + 26*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -4, 0, -2191018 in increasing order.\nAnswer: -2191018, -4, -0.07, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2113880 + 6*c + 4227754 - 2113874.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 835, 1733, 2633, 3535?\n\"Answer: k**2 + 895*k - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tartaekexae. What is prob of sequence etx?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9))\/((-15)\/(-10)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (1 - 0)) + 58114 + -58144?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(17) - sqrt(153)) + (sqrt(119)\/(sqrt(7)*3))**2 + 6*sqrt(102)\/(6*sqrt(6)*-2) + -2.\nAnswer: -5*sqrt(17)\/2 + 26\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -3*f**4\/4 + 17*f**3 - 141*f**2 + 504*f - 3015. Factor h(p).\nAnswer: -3*(p - 7)*(p - 6)*(p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -176*k**2 - 704*k + 352. Let l(g) = 2*g - 1. Calculate -c(q) - 352*l(q).\nAnswer: 176*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/9, 0, 1\/14, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 1 - 0)*1. Determine d so that -4*d**3 + y - 8 + 6*d**2 + 8*d - 2*d**4 - 1 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 13*j - 15. Let f be 22*(4 + -1)\/3. Let v = -11 + f. Let n be m(v). Calculate the highest common divisor of n and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/869112 and -88\/15.\nAnswer: 4345560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, j: 3, v: 2}. What is prob of picking 1 j and 1 v?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 14*j + 3150 = 0. Suppose 527 + j = 3*u. Is 26 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3366*w**2 - 8 + 7 + 3358*w**2 - 6707*w**2.\nAnswer: 17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*t + 16 + 3*t + t wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 - (-2)\/1 - 7. Suppose 2*s - 2*f + 6 - 16 = 0, -b*s + 14 = -2*f. Factor 24 + 2\/3*z**s - 8*z.\nAnswer: 2*(z - 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*x = -16 - 3, 4*x = -5*g - 36. Let c(p) = 11*p**2 - 13*p + 46. Let h(k) = 7*k**2 - 9*k + 30. Let j(l) = g*h(l) + 5*c(l). What is j(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuaq when four letters picked without replacement from {w: 2, q: 1, r: 1, u: 1, m: 1, a: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/16*(-400)\/2850 - (-4)\/38?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b + 3. Let w(h) = -h. Let l = -6 - -9. Let y be 1\/(-3)*-1*3. Let v(s) = l*w(s) + y*r(s). Differentiate v(x) with respect to x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/33 - (-24)\/11. Suppose -d*h + 12 = -0*f + 5*f, 4*f + 8 = 0. Solve h = -2*b + 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12496019 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1140744 less than 5.361?\nAnswer: 1140749.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 6. Let m be g(-3). Let h be (-15)\/10*(-10)\/m. What is the second derivative of 0*a**5 + 6*a - h*a - 2*a**5 wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125*(-10)\/105 - -12.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 12*x**2 + 18*x + 17. Let i be d(10). Which is the nearest to 0.4? (a) -0.1 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2733, 5447, 8163, 10881, 13601?\n\"Answer: m**2 + 2711*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*i - 8*i**2 + 7*i**5 - 9*i wrt i?\nAnswer: 420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29309 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: Is 1760840857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10022201212 (base 3) in base 2?\nAnswer: -1111111110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 smaller than -6950878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 45*g + 76. What is the least common multiple of l(39) and 124?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -206 (base 8) to base 3.\nAnswer: -11222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + 8*k + 7. Suppose 3*c + 2*x + 18 = 0, 6*x = -c + 2*x - 6. List the prime factors of y(c).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -841*n - 2 + 0 - 1435*n + 326*n - 269*n to f + w*n and give w.\nAnswer: -2219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 32\/18 + 4\/18. Let r = c - -1. Suppose r*l + j = 43, -3*l - j = l - 56. Calculate the remainder when 50 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by -1149.\nAnswer: -38\/1149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m = -13*m + 37*m - 6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2676*k + 188683*k**2 - 382182*k**2 + 190698*k**2 wrt k.\nAnswer: -5602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 5\/5)*-2. Let s be (-2)\/12 - (-268)\/24. Let l(o) be the first derivative of 10*o**2 - 6*o - 2. Let z(w) = -7*w + 2. Give s*z(j) + v*l(j).\nAnswer: 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from wmhyjyjh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22\/7 + -257\/84. Let r(u) be the first derivative of t*u**6 + 2 + 0*u**2 - 1\/8*u**4 - 1\/10*u**5 + 1\/6*u**3 + 0*u. Factor r(a).\nAnswer: a**2*(a - 1)**2*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 7:43 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 197 = -d + 5*r, -5*r - 1010 = 5*d. Let i = 280 + d. Calculate the remainder when i is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 241*u - 106*u + 5 + 227*u + 6.\nAnswer: 362*u - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37067*i*k**3 - 35298*k**3 + 2*k**2 with respect to i.\nAnswer: 37067*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 18 = 2*k, 29*k + 18 = 31*k + 2*v. What is the greatest common factor of k and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, m: 1, e: 5}. Give prob of picking 1 m and 2 e.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 72 (c) -2\/7 (d) 2 (e) 212\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 - 2330*h**3 - 459879*h**2.\nAnswer: h**2*(h - 2513)*(h + 183)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 81607450 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 r(m) = 7*m. Let x(k) be the first derivative of 0*k**2 + 4\/3*k**3 - 7 + 0*k. Determine r(x(j)).\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100649796.\nAnswer: 2, 3, 13, 769, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*x = -114, 3*x = v - 2*x - 38. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -36. Let i(z) = -33 + 4*z**2 - 41 + 16*z - 18*z**2 + 92 - z**3. Let h be i(x). Solve 2*p = -3*r + p + 9, -h*r = -p - 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**4 - 2*l**2 + 2*l**2)*(3 - 1 + 0)*(2*l - l - 2*l).\nAnswer: -8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s. Let v(g) = -59*g + 2. Determine u(v(f)).\nAnswer: 59*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 73880888183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 - r - 77. Let w be p(-5). Solve -5*k - w*x = -10, k + 0*x + 3*x = -10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2503 or 2500?\nAnswer: 2500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-5\/4)*q))\/q)\/(q\/((q**(-2\/5)*q)\/q))*q**(2\/3)\/(q*q**(2\/5)\/q) assuming q is positive.\nAnswer: q**(-53\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 + 22 - (-20 + 12)) + -21 + 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 28\/(-8))\/(-50 - 795691\/(-15908)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1575783.\nAnswer: 3, 11, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 10\/(-25))*15\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y. Let b(x) be the first derivative of x**5\/120 + 4*x**3 - 9. Let a(t) be the third derivative of b(t). What is a(z(q))?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4 - 4886*u**3 - 546848*u**2 + 2924264*u + 7996800 = 0. Calculate u.\nAnswer: -112, -2, 7, 2550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -9*x**2 - 1\/6*x**4 + 5 - 2\/3*x**3 + 0*x. Let v = -10 - -7. Determine r(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -69*b**3 - 2*b**2 + 3*b + 5. What is the least common multiple of 42 and r(-1)?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1360456176.4 and 0.5.\nAnswer: -1360456175.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + sqrt(95) + 1*sqrt(95)*-2)\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and 26?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-2*c**3 + 2*c**3 + c**3) + 2*c**3 - 4*c**3 + 4*c**3 - 4*c**3 + 2*c**3 + 3*c**3 + 24117*c - 24117*c + 2172*c**3.\nAnswer: 2177*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 34. Give j(36).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(77)*2 - ((2*sqrt(77)*6 - sqrt(77) - sqrt(77)) + sqrt(77)))\/(sqrt(63) + (-2*sqrt(756))\/sqrt(12)))**2 + -4.\nAnswer: -25\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3243.374 * -4.\nAnswer: -12973.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2875\/8 + 2881\/8. Let o(b) be the second derivative of 0 + y*b**4 + 0*b**2 + 14*b + 3\/10*b**5 + 1\/30*b**6 + 0*b**3. Suppose o(l) = 0. What is l?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 4*b**2 + 2*b + 4. Let w(k) = -k**3 - 5*k**2 - 3*k - 5. Let f be (4\/(-10))\/(1\/(-5)). Let p be ((-10)\/(-4))\/(1\/f). Calculate p*u(z) + 4*w(z).\nAnswer: z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18718*l**2 + 20997*l - 423904486 wrt l?\nAnswer: 37436*l + 20997","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 4*u + 7*u = 27. Solve -u*b = -r + 7, 37*b - r = 32*b - 11 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 2\/11, 0, -1, -159, -2, -4\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -36) + -17 - 17\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 486608461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6330704, -12661409, -18992114, -25322819, -31653524?\nAnswer: -37984229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**3\/6 + u**2\/2 - 108*u. Let s be o(-2). Solve -6 = s*w - 0, 0 = 4*l + w + 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25.54 - 0.46. Let x = t - -24. What is the third biggest value in -1\/3, x, 2\/13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 1392*a**2 + 79*a. Let t(g) = 696*g**2 + 45*g. Let f(c) = -4*o(c) + 7*t(c). Let n(s) = -2*s**2. Calculate f(n(d)).\nAnswer: -2784*d**4 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 325\/2 - 157\/4. Let t = 124 - q. Solve 0 - 5\/4*o**3 + t*o**5 + 1\/4*o**4 + 1\/2*o - 1\/4*o**2 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 10. Let y be g(4). Let d be 2\/12 + (-263)\/y. Let p = 66 - d. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x + 1. Let z(c) = 26 + c + 17 - 43. Give j(z(d)).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.771 + 4.771. What is the nearest to 1 in q, 706, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 12*b**3 + 18*b**2 - 18*b. Let z(f) = -f**2 + f. Let w(d) = -d**2 - 113*d + 1636. Let l be w(13). Calculate l*o(k) - 36*z(k).\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 7*u - 22 = 4*y, 16 = 4*u - 2*y. Suppose c + 12 = -u*c. Let p(n) = 2*n**2 + 6*n + 6. Is p(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*d + 2, d = 4*y - 2 - 2. Suppose d*a + 14 = 2*a. Let n(x) = a*x - x + 2 + x**2 + 0*x. Calculate n(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/362 and 85\/24?\nAnswer: 4344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 15*u - 1226974 + 1226975.\nAnswer: -14*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnvnnvnvvnnnv. Give prob of picking 3 v.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-2\/3)\/l)**(14\/11)\/((l*l\/l**(-2\/5))\/((l**(1\/3)*l)\/l*l)) assuming l is positive.\nAnswer: l**(-106\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.22 (b) 3 (c) -27 (d) -39\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, u: 9, v: 1, p: 3, z: 2}. What is prob of picking 2 p and 1 z?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 y when two letters picked without replacement from {l: 1, h: 1, y: 2, g: 1, a: 1, s: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 11*x**4\/12 - 11*x**3\/6 - 8*x**2 - 58*x. Is o(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21474*u**2 - 21264 wrt u.\nAnswer: 42948*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 72*(-5)\/((-10)\/1). Let p = -16 + u. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1829 times -20.973?\nAnswer: 38359.617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1103 or 933?\nAnswer: 1103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/30 - (301\/5 + 2). Let t = v + 65. Suppose s = 5*y + 2*s - 1, t*y = -4*s - 13. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1155 + 1176. Let c(n) = 18*n + 12. Let f be c(9). What is the remainder when (2\/(-2))\/((-3)\/f) is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*g**2 + 4147 - 4146 + 19*g**2 in the form u*g**2 + j*g + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 202 in -3, -1\/5, 1, -2\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2193 and 70606.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -2*u + 4*f, 654*u - 4*f - 39 = 661*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06288 + -0.36288. What is the nearest to -1 in i, -0.2, 4\/7, -0.022?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 13318524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-93)\/(-2852)*48\/9\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -784, -1591, -2398, -3205, -4012, -4819?\nAnswer: -5626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 5*p + 2. Let t be l(6). Let q be ((-2)\/4)\/((-2)\/t). Let i be 39\/12 - q\/(-4). Calculate the greatest common factor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 722985448 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7708954 to the power of 1\/2, to the nearest integer?\nAnswer: 2777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58910370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6800111 by -1709.\nAnswer: 3979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x**3 - 75565*x - 75460*x + 151025*x.\nAnswer: -25*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 6*d - 6. Let y(f) = f**2 - 16*f + 2. Let u be y(16). Let g be s(u). Sort 5, 0, g, -8.\nAnswer: -8, 0, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.66 + 3.295. Let p = 0.365 + d. Which is the closest to p? (a) -8 (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hfeoffeefoseoofeoefo. Give prob of sequence osee.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*u - 75. Let a be 58\/10 - (-12)\/u. Suppose a*b + 44 - 119 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12284887 a multiple of 819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from {i: 1, s: 4, m: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omqokmmmmomomkmbmomm. Give prob of sequence oo.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135778 is divided by 930?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*r + 34*r - 28*r**3.\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*(-2*((-5*(sqrt(847) + 0) + sqrt(847) - sqrt(847)) + -1) + -3 + 1)*5)**2.\nAnswer: 13200*sqrt(7) + 19057516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 8. Suppose 6 = -2*c + 5*c. Put c, -5, n in ascending order.\nAnswer: -5, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/10425 and 1\/14861880?\nAnswer: 74309400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3217*f = 2596*f - 1831*f - 123923 + 12427 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.0043 - -0.0043. Which is the nearest to 2\/5? (a) -4 (b) s (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 843, 1659, 2473, 3285, 4095, 4903?\n\"Answer: -m**2 + 819*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 13*f**2 - 13*f - 11. Let l(i) = 7*i**2 - 6*i - 6. Let d(p) = -6*a(p) + 11*l(p). Is d(9) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**4\/4 - f**3\/6 + f**2\/2 + 3*f. Let q be a(1). Suppose q*k - 22 = 14. Calculate the smallest common multiple of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.14 + 0.1462. What is t rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 2*r + 42, 4*r = 4*j - 6 - 6. Calculate the greatest common divisor of 20 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -88*k + 675. Give g(8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.73 - 0.73. What is the closest to n in 6, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 12, o: 3, y: 2}. What is prob of picking 3 o?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5736, -5729, -5708, -5667, -5600, -5501, -5364, -5183?\n\"Answer: x**3 + x**2 - 3*x - 5735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-5)\/42*46*(-465)\/7130.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**5*s))**(-3)\/(s\/s**(-7\/3)*s**12) assuming s is positive.\nAnswer: s**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 430 or 418?\nAnswer: 430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 m when three letters picked without replacement from {d: 1, g: 1, o: 2, m: 2, s: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -173 + 174. Solve -6*x = k + 11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 16*n - 95. Give o(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.8? (a) 2 (b) -1\/5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 57\/5 of a minute?\nAnswer: 684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 4. Let v(c) = c**2 - 4*c + c + 2*c - c**r + 5. Give v(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 57908*r + 347440. Determine a(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**3 - k**2 + 7*k - 7*k**3 + k**2.\nAnswer: -3*k**3 + 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -161*z + 1594. Determine q(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 13*v**2 + 13*v + 3. Let x(q) = 3*q**2 + 3*q + 1. Let k(w) = 2*b(w) - 9*x(w). Calculate k(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -404380 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 13*z**2 + 25*z - 8. Let i be r(-3). Suppose -3*o + 24 = -6*o. Let w be 60\/o*68\/(-6). Calculate the greatest common divisor of i and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**2\/n**0)\/(n\/n**(-2)*n)**(-3))**24)**(-3\/35) assuming n is positive.\nAnswer: n**(-144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27310*j*o**3 + 284*j + 27*o**4 + 777*o wrt o?\nAnswer: 163860*j*o + 324*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 710596.76 rounded to the nearest 10000?\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1*j)**(-16)\/(j**(-7)\/j**1))**(-19) assuming j is positive.\nAnswer: j**456","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 10. Let w be b(0). Suppose 3*p + 2*p = w. Suppose -p*n + 2*h = -8, 3*n - 5*n + 3*h + 9 = 0. Solve -5*m = 5*z + 15, n*z - 20 = 4*m - z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-9))\/(2\/3777) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*v + 16*v + v - 49*v**3 + 131*v**3 wrt v.\nAnswer: 492*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1790668\nAnswer: 5\/1790668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.9 not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4*r**2 + 0 - 1\/2*r + 1\/4*r**3 = 0. Calculate r.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/2*-13 - (-14 - 460\/(-23)). Solve r*a = -25 + 74 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 809860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*j - 15*j + 27 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l - 22 = -5*t, -5*t = -2*l - 23. Let c(n) = 18*n + 36. Let r be c(-2). Suppose -54*v + 53*v = r. Solve o - t*o = v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2462.97 + -2482. Let u = -19 - i. Which is the closest to -2\/3? (a) -0.3 (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -12 (c) 12 (d) 2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - -0.3. Let s = 5.2 - w. Let z = -5 + s. What is the nearest to z in -1\/3, 4\/7, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 3929?\nAnswer: 3929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/(52\/52)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -5*g**4\/6 + 55*g**3\/6 + 4*g**2 - 1. Let q be t(3). Which is the closest to 1? (a) q (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 7. Let x be c(-4). Let q(u) = 9*u - 2*u**2 - 6*u + 3*u**2 + 4. Let h be q(x). Round h to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 9900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-10))\/((-4)\/30). Let z = a - -5. Is 11\/1*(-11)\/z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(5445) + 2)*-6 - ((sqrt(5445) + sqrt(5445) + 1 + sqrt(5445))*1 + -2))*5)**2.\nAnswer: 3974850*sqrt(5) + 148373350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*sqrt(162).\nAnswer: 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82278163 and 5357?\nAnswer: 5357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**2 - 2515*q - 25650 = 0.\nAnswer: -10, 513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7 - 2 + x + 7*x - 4*x**2 - x**3. Let d be c(-5). Let l(f) = -f**3 - 8*f**2 + 6*f + 5. Is l(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -44*g - 20*g - 24 + 0*g + 24. Let d(w) = 12*w. Give q(d(t)).\nAnswer: -768*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 16*j**2 + 3*j. Let l(c) = 33*c + 30*c + 29*c - 96*c + 3*c**2. Let n(p) = -2*p**2 + 2*p. Let m(o) = 3*l(o) + 6*n(o). Give m(v(h)).\nAnswer: -768*h**4 - 288*h**3 - 27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 62714 and 2.2.\nAnswer: 137970.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - -4)\/2 - -9. Let u = j - 18. Let q = u + 6. Sort 4\/5, -1, q.\nAnswer: -1, q, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 1494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1\/4 (b) -0.6 (c) -429\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -85, -187, -329, -511?\nAnswer: -733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*s + 21650, -5*s + 45*v - 46*v + 54138 = 0. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(12\/(-15)))\/((-2)\/12). Solve -7*w - v = -4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*n + 36*n = -11*n + 12870. Solve 0 = 6*p - n + 100 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-4\/17)*u))\/u)\/((u*((u\/(u\/(u\/((u*(u\/(u*u*u\/(u\/(u*u**(2\/41)*u))*u)*u)\/u)\/u))))\/u*u)\/u)\/u) assuming u is positive.\nAnswer: u**(-4380\/697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 493 and 290?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -2 (c) -5 (d) -0.4 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/30493, 0.5, 17, 43?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 61\/4 of a gram?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10877 - 6119. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001737249 to five decimal places.\nAnswer: 0.00174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1796 + 3256990\nAnswer: 3255194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**3*v**3 - 1967*h**3*v - h*v**3 - 5503*h*v**2 wrt h?\nAnswer: -12*h*v**3 - 11802*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -42 - (-6 + (-59 - 18))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -2 - -77) + (-53 + 0 - -54)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {d: 8, s: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 9*s**3 + 7*s**2 - 2*s - 19. Let t(z) be the second derivative of -z**5\/4 - z**4\/3 + z**3\/6 + 5*z**2 - 2*z + 413. Give 4*l(y) + 7*t(y).\nAnswer: y**3 - y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 412723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -2*b**7\/105 - b**6\/10 - b**5\/5 - b**4\/6 - 34*b**2 - 62. Let q(a) be the second derivative of k(a). Factor q(m).\nAnswer: -4*m*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7026, -28114, -63248, -112416, -175606, -252806, -344004, -449188?\n\"Answer: 2*y**3 - 7035*y**2 + 3*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-96)\/(-18))\/((-4)\/(-6)). Calculate the remainder when 75 is divided by (-246)\/k*(0 - (-4)\/(-3)).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1022 + -141?\nAnswer: -1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1518, 6, -2, 3, 2, 20 in descending order.\nAnswer: 20, 6, 3, 2, 0, -2, -1518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2073165\/116 + 17872. What is the common denominator of -139\/6 and c?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 94*h - 178. Let u(n) = -n - 4. Let p(c) = f(c) - 2*u(c). Differentiate p(y) with respect to y.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*v + 388 = 68*v - 1493 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-15))\/(-29*(-25)\/8700).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/33336 and 59\/336.\nAnswer: 466704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1. Let u(r) = -3*r + 2. Let y(v) = -2*g(v) - u(v). Let b(i) = 12*i. What is y(b(s))?\nAnswer: 36*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 + 18948*r + 283974. Calculate x(-15).\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*o - 0, -3*o + 4 = -3*s + o + 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2548, 2547, 2546, 2545?\n\"Answer: -h + 2549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2877795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.69 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 17*j**6\/240 - 11*j**5\/15 + 23*j**4\/16 + 21*j**3\/2 + 4*j**2 + 194. Factor b(h).\nAnswer: (h - 3)**2*(17*h + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55370859 divided by 3\nAnswer: 18456953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1664 and 69889856.\nAnswer: 1817136256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -1. Let j(x) = 0 + 8 - x**2 - x - o. Let t be j(0). Solve -13 - t = -3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -14. Which is the biggest value? (a) v (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z + 3*z**2 + 5*z - 5*z**2 + 10*z in the form i*z + o + t*z**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 - -0.49. Let p = t - 0.16. Sort p, 1, -9 in increasing order.\nAnswer: -9, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 15) in base 7?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1665 + -1666. Let m = -1\/57 - 97\/969. Which is the nearest to -2\/3? (a) y (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-5*-2*sqrt(15) + sqrt(180)\/sqrt(192))\/(-2*sqrt(245)*3 - sqrt(245)))**2.\nAnswer: -15129\/19208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2 + 2 - 3 + 2 + (3 - 3 + 1)*(-4 + 5 - 3))*(1921 - 1921 + 475*m).\nAnswer: -1900*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/50338587 and 64\/91.\nAnswer: 352370109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s = 5*j + 1, 0 = j. What is the remainder when 2 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11704 and 13019636?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 349786608 to the power of 1\/2, to the nearest integer?\nAnswer: 18703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2 - 21998*b + 21996 = 0. Calculate b.\nAnswer: 1, 10998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 z, and 1 o when three letters picked without replacement from hhvzhvvvzhhohthhhht?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4742 - -4751. Solve 947*z = 950*z + a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 3*m**2 - 4*m + 2. Let o be c(-4). Let s(l) = 32*l - 5*l**o + 25*l - 57*l. Let g(d) = 3*d**2. Determine g(s(v)).\nAnswer: 75*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.41 + 2.35. Which is the nearest to 0? (a) 1\/9 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 546?\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -122613 + 122613.00067323. What is m rounded to five dps?\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 4*s**2 + 6. Suppose -4*b + 5*b + 18 = -4*w, -3*w - 5*b - 5 = 0. What is the remainder when p(w) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54054)\/(-3564) + 3\/(-6*3))*40\/(-15).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/18 and -41\/225?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -2*p + 8. Let d(r) = -p*r + 44*r - 34*r - 21. Let i(t) = -19*t - 21. Let s(q) = 3*d(q) - 2*i(q). Find the first derivative of s(j) wrt j.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/15*25\/(-2))\/((-930)\/(-62))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 262786\/5857 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 202*m**2. Let j(q) = 4*q - 4. Give b(j(y)).\nAnswer: 3232*y**2 - 6464*y + 3232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 391, 791, 1191?\n\"Answer: 400*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(150)\/(sqrt(6)*1))\/((sqrt(125)*2 - sqrt(125)) + sqrt(125) - (sqrt(20)\/(sqrt(16)\/sqrt(4)) + sqrt(5))).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 6. Suppose 3*u + 12 = -u. Let v(l) = l**2 + 4*l + 7. Let r be v(u). Is b != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12494 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 2184168?\nAnswer: -2184165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(0*j**4 - 2*j**4 + 4*j**4) - 3*j - j**4 + 3*j.\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51 and 86823.\nAnswer: 1475991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/7, -0.2, -0.4, -4, 0.1.\nAnswer: -4, -0.4, -0.2, 0.1, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -12*b**5 - 75*b**4 + 3*b**3 + 417*b**2 + 81*b - 270 = 0.\nAnswer: -5, -3, -1, 3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-one halves of a milligram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d + 15. Let v be o(5). Suppose v*m - m - 220 = -4*y, 5*y = m - 43. Let j(x) = -3*x - 3. What is the remainder when m is divided by j(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-213)\/6248*56\/(-21)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t**2 - 8*t + 5. What is the units digit of d(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 636 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -40*f - 3. Let q(m) = m + 1. Let n(i) = -2*q(i) - v(i). Let s(b) = b. Calculate s(n(t)).\nAnswer: 38*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 19 + 15 = -5*s, 0 = 2*s - k + 13. Is -6 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765496313.\nAnswer: 765496313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -5289620.\nAnswer: 9\/5289620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -43*d - 28. Let j(z) = z**2 + 19*z + 70. Let w be j(-12). What is the hundreds digit of v(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 3.842?\nAnswer: 15.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*a + 64, -3*a + 62 = 4*h + 2*a. Let x = 22 - h. Suppose 0 = x*b - b - 12. 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: What is next in 11, -8, -41, -100, -197, -344?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in four thirds of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.2 + 95.8. Let t = 1874.3 - 1769. Let p = t - h. What is p rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 3*j**2 + 3. Let r be 2\/(-6) + 24\/(-9). Let u be (2 - (-4)\/(-3))*r. Let t be (-2 - 0)*(-3)\/u. What is w(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 35*k**2 + 4*k + 3. Calculate l(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 6. Suppose 4*x + 4 = -0*z + 2*z, -4*z + 3*x + u = 0. Is 907*(z\/(-27) + (-55)\/(-45)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47109*d - d**2 - 23453*d - 23656*d - 23*d**3.\nAnswer: -23*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000478789948 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4 - -2) + -9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12535*b - 249087 = -15688*b for b.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 8:13 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289 = 5*s - 3*b + 26, 0 = -3*s - 4*b + 152. What is the remainder when s is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of (3\/5 - 6128\/80)*-31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422710159.\nAnswer: 19867, 21277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*((sqrt(2) - (sqrt(16)\/sqrt(392))**2)*-2 + (sqrt(12)\/sqrt(2)*-1)\/sqrt(3)).\nAnswer: -120\/49 + 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 0.4, 79, -220, 0.017, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 9*n**2 - 550*n + 155. What is r(63)?\nAnswer: 1226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1467415, -1467416, -1467417, -1467418?\n\"Answer: -z - 1467414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-27 - 65)*((-10)\/4 + 1). Suppose 134*q + 16 = k*q. Let x be (3 - 13\/q)*(1 - 1). Solve 0*f = 3*f + 4*d + 14, x = -2*f - 2*d - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k**4 - 2*k**3 - 3*k**2 - 60726*k - 12673790.\nAnswer: -8*k**3 - 6*k**2 - 6*k - 60726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**4 - 1 + 4*u**4 + 2 + 11 - 11 - 6*u**4 + (-u**3 - 3*u**3 + u**3)*(-u - 2*u + u) + 4*u**4 - u**4 - 5*u**4.\nAnswer: -u**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 6) + -5 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -301450 - -3?\nAnswer: -301449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 303, 2, -751.\nAnswer: -751, 2, 9, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7710267*z**4 - 2*z**3 + 1024065*z**2.\nAnswer: -185046408*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -381747335.277 less than 1056?\nAnswer: 381748391.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 40*n = 5*z + 37*n - 3, 2*n + 2 = 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/2)*k)**(2\/31))**(-4\/29))**(1\/5) assuming k is positive.\nAnswer: k**(-4\/4495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/((-649)\/66080*20)\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20155 (base 8) in base 2?\nAnswer: 10000001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/7, -7, -116, -2 in decreasing order.\nAnswer: 2\/7, -2, -5, -7, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 9516672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 52\/8 + 1\/2. Let p be (1 - -1) + (g - -6). Suppose 14*j - p*j = -42. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72*b**5 - 63*b**5 - 37*b**2 - 103*b**2 wrt b.\nAnswer: -8100*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 723891.5 centimeters in nanometers?\nAnswer: 7238915000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-28)*14\/(-4). Let x be 14 - (-1 - (d - 1)). Let l = 19 - x. What is the remainder when 9 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*s - 4*j + 9, 5 = 3*s + 2*j. Suppose -s*y = 2*l - 100, -y + 2*y = l + 40. Calculate the highest common factor of 24 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1223?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13170*i**2 + 26379*i**2 - 13209*i**2 - 2*i**3 - 7*i**3.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i**2 - 165*i + 2. Let r be m(33). Let q(j) be the first derivative of -1 - 1\/2*j**r + 0*j. Let h(y) = 8*y**2. Determine q(h(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-3))\/((-7)\/(-147)). Suppose -2*f = 5*p + 3, -g*f + 3*f - 1 = 5*p. Let c be 8\/6 - 1 - 1. What is the smallest value in c, p, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75040854?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32\/(-56) + (-278513)\/(-7). Suppose -23799 = -2*o + c. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -844 + 908. Calculate the remainder when 105 is divided by l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 1494\/15*75\/45?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opbmzoepmemo. Give prob of picking 1 p and 2 e.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 402\/7*v + 57 + 3\/7*v**2 = 0. Calculate v.\nAnswer: -133, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 236908420*k - 236908415.\nAnswer: -5*(k - 47381683)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7250*i*x**3 + 2*i*x - 187*i + 7*x**2 wrt x.\nAnswer: -43500*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168 + 149 + 49)*(2 + (-15)\/9 + -1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 6475278.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87680.\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from {r: 5, o: 2, f: 1, q: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 - 1.7. Let p = -4 - -4.1. Let x = -4.9 - p. Which is the third biggest value? (a) x (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12246, -48870, -109914, -195378, -305262, -439566, -598290?\n\"Answer: -12210*s**2 + 6*s - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 53 + 22 + -38 + 15?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*x - 34 = 0, 150*x = -m + 149*x - 8. Let t(o) = 2*o - 3. Let h(k) = -k + 2. Determine m*t(q) - 3*h(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (252\/162)\/((-1)\/((-18)\/4)) + -6. Let s = -1 + 1. What is the nearest to 0 in 6, g, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 2 - (-18 - (-6 + -7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17801 is divided by 275?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1288455, 2576730, 3865005, 5153280, 6441555, 7729830?\n\"Answer: 1288275*p + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 379, 856, 1525, 2386?\nAnswer: 3439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 24. Let t be (-4 - (2 - 1))\/(-1). Suppose -t*n = 5*w - 15 - 10, -3*w + 14 = 2*n. What is the smallest common multiple of f and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 15 = 3*u, -3*c - 7 = 2*u + 2*c. Let y be -4 - -8 - -3 - u. Suppose 5*q + 44 = 3*p, -p = -2*p - y*q - 4. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q = 20*q + 12975. Suppose 5*i - 2*x = q + 3476, -2*i - 5*x = -2411. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 988?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = 11*n + 20*n - 114972. List the prime factors of n.\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -3, 28, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*q**3 - 7*q**2 - 433*q wrt q.\nAnswer: 42*q - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 721.28 and 3.\nAnswer: 2163.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -7*z**2 - 9*z - 10. Let f be o(-1). What is the hundreds digit of f*-458*1\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3914553?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 398 and 1374.89?\nAnswer: 547206.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-718)\/(-34) - (-18 - (-5236)\/289). Suppose -y + 3 = 22. Let a = y + c. Solve -o - a*w = 6 + 5, 0 = -o + 2*w + 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 336, 2, 2788 in descending order.\nAnswer: 2788, 336, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 55 + -537 + 500.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**4 + 3*p**4 - 14*p**5 + (96 - 15*p**3 - 96)*(3 - 3 + p**2) + 4*p**5 + 6*p**5 + 7*p**5 - 2*p**2 + 2*p + p**4.\nAnswer: -12*p**5 + p**4 - 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 220664 and 1368.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(330)\/sqrt(10) - sqrt(33)))\/(sqrt(3)*-3*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 312 to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 36*y**2 + 2*y + 2. Let w(a) = a**3 + 36*a**2 + 3*a + 3. What is 3*t(f) - 2*w(f)?\nAnswer: -2*f**3 + 36*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 1202*z + 245. Let a(l) = 2*l**2 - 2405*l + 531. What is -6*a(m) + 13*c(m)?\nAnswer: m**2 - 1196*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1364?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-6))\/(5*7\/210). Put l, -2, 12, 2 in increasing order.\nAnswer: -2, 2, l, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 d when four letters picked without replacement from ykyydyyadkayayykky?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**5\/120 - y**4\/12 + 2*y**3 + y. Let g(n) be the second derivative of a(n). Determine g(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 5*w - 2*w)*(2*w + 4*w + 5*w)*(19 - 3*w + 137 + 2 + 177).\nAnswer: -33*w**3 + 3685*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369*k + 15 = -372*k, 0 = -5*d + 4*k + 13895. Does 25 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*x + h - 5 = 0, 3*x - 18 = 2*h. Let g(s) = -3*s**2 + 2*s + 1. Let a(t) = 2*t**2 - 2*t - 1. Determine x*a(i) + 3*g(i).\nAnswer: -i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*b - 5*b. Let o = b + -6. What is the remainder when 25 is divided by -4 - -3 - (-2 - o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -1 + -2 - 0. Let i be (n - -5 - 0) + 83. Let f = -23 + i. What is the highest common divisor of 155 and f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9918, -9923, -9940, -9969, -10010, -10063, -10128?\nAnswer: -10205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 0.4 (b) -0.133388 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 1504?\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28.1 + 2.9. Let r = -30.94 + q. Let u = r - 0.059978. What is u rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6 - 0.2. Put -2\/15, 3\/2, o in decreasing order.\nAnswer: 3\/2, o, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5 + 13351*q**4 - 6*q**3 - 80098*q**2 + 106805*q - 40053.\nAnswer: (q - 1)**3*(q + 3)*(q + 13351)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*v - 259 + 25 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 810, 827, 858, 903, 962, 1035, 1122?\nAnswer: 1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2) - (3 - (-7)\/(-14)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1630707 divided by -39.\nAnswer: -41813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l**2 - 15*l + 17. Let q(h) = -105*h**2 - 195*h + 220. Let x(v) = 40*d(v) - 3*q(v). Factor x(m).\nAnswer: -5*(m - 1)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 502 = 6*a - 4*a. Let c = -170 + a. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*m - 188 = 35*m. Suppose -2*h - 2*w + 69 = -m, 2*w + 202 = 4*h. Round h to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/391940 and -35\/78388.\nAnswer: 391940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + -13)\/((-2728)\/62)?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 k when three letters picked without replacement from {h: 4, j: 7, k: 3, c: 2, p: 3}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 465.9559 decades in centuries?\nAnswer: 46.59559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9371*-0.3.\nAnswer: -2811.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 90 = 30*m - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujn when three letters picked without replacement from {x: 3, n: 3, u: 7, e: 3, m: 1, j: 1}?\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -4\/5 (c) 0.654\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 11, -2\/17, 3\/17, -4\/125 in descending order.\nAnswer: 11, 1, 3\/17, -4\/125, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199816 is divided by 478?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 32*p - 4. Let r(m) = 192*m - 23. Determine 34*d(h) - 6*r(h).\nAnswer: -64*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.91, -4\/51, -2\/7, -1\/633?\nAnswer: 0.91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -198.246 + 0.246. Let v = -197.999818 - r. What is v rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-5)*-1 - 372\/(-60). Let h(u) = -u**3 + 4*u**2 + 12*u + 4. Is h(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 182*o**2 - 37132*o + 808. Determine n(204).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36326204 rounded to the nearest one million?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -14*b + 108. What is the greatest common factor of b and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 34*v - 12 = 33*v, -48 = 3*b + v. Suppose -3*l + 5*m - 19 = -2*l, -4*m + 28 = -4*l. Is 3 a factor of (1*-2)\/l - b\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 1335638 + -1753298.5. Let g = 417659.37999745 + u. Let h = 1.12 + g. Round h to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 2. Let o(y) = 16*y + 14. Let c be o(-1). Let w(h) = -h - 1. Let q(u) = c*w(u) + 3*x(u). What is q(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - ((1 - 16) + 8 + -1) - -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3557 (base 14) to base 11.\nAnswer: 6a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -1 - 0\/(-80). Which is smaller: 1\/3194 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/133 and -97\/1596?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 divided by -1586?\nAnswer: -313\/1586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1642 - -2175. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 1:05 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3393573 to the power of 1\/2, to the nearest integer?\nAnswer: 1842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*h - 17*h**5 + h + 15*h - h wrt h.\nAnswer: -340*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 28?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**3\/3 - 3*d**2\/2 + d - 58. Let o(b) = -2*b**2 + 5*b - 1. What is -5*k(m) - 3*o(m)?\nAnswer: m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v - v**3 + 3*v + (-v - 3*v + 2*v)*(3*v**2 - 4*v**2 + 2*v**2) + 2*v**3 + 0*v**3 - v**3 + 531*v**3 - 3 - 1 - 526*v**3.\nAnswer: 3*v**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - n + 3*n - 1)*(-5*n + 5*n - 2*n).\nAnswer: -4*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5080125.7 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/146*2)\/((-189)\/(-189)).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuueeuuuu. What is prob of picking 1 e and 2 u?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4650032861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7839180767 to the nearest integer?\nAnswer: 1987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.55666um to kilometers.\nAnswer: 0.00000009455666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2162 - -7960. What are the prime factors of f?\nAnswer: 2, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 140950?\nAnswer: 140949.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -4*f + 90. Suppose -2*n - f*m = -9, 0*n - 3*m = -3*n + 21. Suppose -n*p + 56 = -1036. Does 20 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152)\/(-912)*(-7)\/((-728)\/288).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(0 + (-2)\/802). Find the common denominator of 2 + (3 - u\/(-86)) and 1*((-34)\/4 + 0).\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-92.\nAnswer: -36.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/28)\/((-4)\/7))\/((-1137)\/28804)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 21648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1. Let v be (-10)\/6*(-32)\/(-120). What is the nearest to 2\/3 in v, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -40.4. Let s = w + 8.4. What is the nearest to -0.1 in s, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86 (base 16) to base 13.\nAnswer: a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002160805515 to five decimal places.\nAnswer: 0.00216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + 10. Let m = -17 + k. Suppose 3*y = y. What is the second biggest value in 4, m, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4921042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 3 + (0 - 9). Let b be (12\/n)\/((-2)\/(-6)). Let a = -1 - b. Solve 0 = m - 1 + a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*(sqrt(128) + -3 + (-2*sqrt(128) - sqrt(128)) + sqrt(128)))**2.\nAnswer: 128*sqrt(2) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o**2 + 72*o - 429. Let t be f(6). Are t and 215 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, s: 1, v: 6, h: 2}. What is prob of sequence fvf?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 8 = -3. Suppose -2*t + 3*t = p. Let z = t + -3. Solve -2*m + 6 = -z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 h when three letters picked without replacement from hhhhhhhhhhhhhhhihhhh?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.099 - -0.099. What is the nearest to -0.1 in -1\/7, h, 0.1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 885 (base 9) to base 5.\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**3 - 5*y**2 - 2*y - 6. Let a(i) = 1 + i**2 + 806738*i - 806738*i - 3*i**3 + 2*i**3. What is -4*a(r) - m(r)?\nAnswer: r**3 + r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58 and 30.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -4\/3, -0.2, 7 in decreasing order.\nAnswer: 7, 4, -0.2, -4\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -310.1 * -6.15\nAnswer: 1907.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 7) + 18 + -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12065 + 21781. List the prime factors of v.\nAnswer: 2, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 62 + 0*s**2 + 1\/3*s**3 + s. Let r(z) be the first derivative of 9*z**2\/2 - 1. Give r(g(w)).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/6)\/(2\/162)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.167, -5, -1\/4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56495079.\nAnswer: 3, 227, 27653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99582327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4121893, -4121910, -4121927?\n\"Answer: -17*f - 4121876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.44398 grams in tonnes?\nAnswer: 0.00004844398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/8*4\/24.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (2 - 0) + 0. Suppose 3*r - 4*c - 13 + p = 0, 5*c = 0. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -62548055 and -0.5.\nAnswer: -62548055.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**3\/3 - 537*c - 3. Let a(z) be the second derivative of 31*z**3 - z. Determine w(a(d)).\nAnswer: -372*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from sds.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19, -12, -5, 2, 9?\n\"Answer: 7*c - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sttxannauxttnun. Give prob of sequence st.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 40, 54, 64, 70, 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -50*r - 1083. What is the remainder when 417 is divided by s(-22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lle when three letters picked without replacement from lllelllllell?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 8:51 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148 and 444703?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {b: 7, x: 6, m: 2, f: 1, y: 2}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(1\/3)\/((-10)\/15).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -48, 847 in increasing order.\nAnswer: -48, 5, 847","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Round 4791.68 to the nearest ten.\nAnswer: 4790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*x = -12. Suppose x*a - 14 = -6. Let b = 13.5 - 13. What is the nearest to a in b, 0, 2\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 0.097?\nAnswer: 2.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4.29752 millennia?\nAnswer: 4297.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4*i - 488 = -0*z, 4*z - 520 = -4*i. Let b(p) = -7*p - 3. Let m be b(-3). Calculate the highest common divisor of m and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50623019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -404\nAnswer: -40.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxyjxxxoyxxooxyoox. Give prob of sequence yy.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t + 20. Let h be m(2). Does h = 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78150*q**3*w**2 - 5*q**2*w**2 + q**2 - q*w**2 - 681*w**2 wrt q.\nAnswer: -468900*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -484*b**2 + 265*b + 266. Give o(-1).\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -205 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 7659.\nAnswer: 15318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oobt when four letters picked without replacement from bbotbobtb.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**5\/20 - 5*p**4\/12 - 5*p**3\/3 + 7*p**2\/2 - 31*p. Does 34 divide m(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 965*p**6 + p**2 - 141*p.\nAnswer: 115800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7835646.4984 and -12.\nAnswer: -7835658.4984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 3. Let d be q(-3). Let a be d - -1*(2 + -1). Let c = a - -3. Solve r - c*g = -8, 8*g = r + 3*g + 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3676629 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g = 6*g + m + 10, g - 17 = 2*m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -35849 divided by -2\nAnswer: 35849\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 121 + 141 = 0. Let f(y) = -13*y - 32. Let x be f(d). What is the greatest common divisor of x and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(3)*1)\/((sqrt(432)\/sqrt(9))\/sqrt(4)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 10. Let t be y(-10). Solve t = 6*q - 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 11:55 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 9*u**2 + 7*u - 6. Let z be d(-8). Suppose 0 = -2*l - l + 15, z*r - 13 = -l. Which is the closest to 1? (a) r (b) 0.3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7844 and 46324.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -329 - -1484. Let d = b - 478. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 1\/10*y**3 + 7\/10*y**2 + 0 - 9\/5*y = 0.\nAnswer: -9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9214 = -2*s + 2*f + 3146, -12320 = -2*s + 12*f. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3060373, -6120764, -9181155, -12241546, -15301937?\nAnswer: -18362328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 4*a**2 + 1119*a - 3366.\nAnswer: -(a - 34)*(a - 3)*(a + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4033 divide 140271817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -1. Suppose -2*r = -7*r + 45. Suppose -v = t - r, -2*t - t = m*v - 13. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -238.33 - -238. Let w = q + 1.33. Which is the fourth smallest value? (a) 4\/3 (b) 0 (c) w (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 382.939 - -0.061. Let v = b - 378. What is the nearest to 0.2 in 4\/7, -3\/5, -1\/6, v?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(3) - (sqrt(120)\/sqrt(4))\/sqrt(10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4732907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2, -58, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*a**2\/3 + 34886*a\/3 - 8722\/3.\nAnswer: 2*(a + 4361)*(4*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2812335 to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 333, 414, 511, 630, 777, 958, 1179, 1446?\n\"Answer: h**3 + 2*h**2 + 68*h + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 5. Let z be h(-5). Let g = -136.9 + 133.9. Let u = -231\/4 - -58. What is the closest to z in 0.3, u, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/4)\/((-2)\/(-42)*7). Suppose n - 3 = -2*n. Let q be 0 + (n + 2)*1. Solve 0 = q*a + 2*j + y, -3*a + 4*a + 9 = -3*j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -3*w + 162. What is the remainder when 6\/(-14) - (2235\/(-21) - w) is divided by (-4)\/8 - 110\/(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 103220031301?\nAnswer: -103220031231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*q**2 - 13*q**2 - 12*q**2)*(3*q**2 - q**2 - q**2)*(2*q + 3*q + q).\nAnswer: -318*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.12 + 0.52. What is the nearest to 10 in f, -0.2, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-227)\/(-681))\/((-87)\/9)\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.051, -0.509 in decreasing order.\nAnswer: 2\/7, -0.051, -0.509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**5\/60 - v**4\/8 + v**3\/6 - v**2. Let n(k) = -k**2 + 4*k - 1. Determine 2*n(p) + 3*u(p).\nAnswer: p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*1*-3*((-102)\/(-17))\/(-36)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 32. Let o = 17.999905 + r. What is o rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ok when two letters picked without replacement from foxooxfxxgokog.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -29471068.3 rounded to the nearest 100000?\nAnswer: -29500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2 - 34*w + 7*w - 1. Let p be o(-5). Suppose 5*n - 2*n - p = 0. What is the common denominator of 56\/11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, j: 8}. Give prob of picking 2 h.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(-3) - (-2)\/(-3). Let d(n) = 3*n**2 - 8*n + 3. Let h(l) = -2*l**2 + 6*l - 2. Let p(k) = -5*d(k) - 8*h(k). Give p(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21637 - 21637 - y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, a: 3, x: 1}. Give prob of picking 2 y and 2 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1460, 2919, 4400, 5915, 7476, 9095, 10784?\nAnswer: 12555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m. Let h(k) = -k**2 + 12*k - 11. Let j be h(10). Let s(u) = u**2 + j - 9. Determine s(x(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 + 5*u**2 - u + 4*u**2 + 2. Calculate the remainder when 52 is divided by a(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4*((((q\/q**(-2\/3))\/q)\/q)\/q)\/q)\/(q**(-3\/4)\/((q\/(q\/q**(-2\/7)))\/q)) assuming q is positive.\nAnswer: q**(95\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85 - -13. What is the remainder when h is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16704 and 6758856.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(18) + sqrt(2))*-4 - 6*sqrt(18)).\nAnswer: -34*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*t**3 + 23*t - 2*t**2 - 253*t**3 - 2204 - 20*t wrt t.\nAnswer: -882*t**2 - 4*t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**50*((f*(f**(-1\/3)*f)\/f)\/f)**(-15))\/((f**(-1))**(-13))**(-23\/4) assuming f is positive.\nAnswer: f**(519\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8*n**2 + 25*n + 16. Is c(-19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*a + 393*a**2 - 1326*a**3 + 1328*a**3 - 396*a**2 as h + t*a + p*a**3 + c*a**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001717 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 1394 = 2*n. Suppose n = 4*a - s + 32, 3*a = 3*s + 510. Does 42 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 65 = 4*h, -2*u + 0*h - 3*h = -33. Let p = u + -5. Let i be (-1 + 8)*p\/4. Calculate the highest common divisor of i and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(55*h + 0 + 0)*(0*h + 0*h - 2*h)*(-5 + 4 + 2).\nAnswer: -110*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6495269 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -3. Let u(j) = 375*j**3 + j + 1. Let a be u(b). Let w be 1*a*(-36)\/5. Round w to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8700 + -8699. Let g = -0.2 - -0.3. Let x = g - -0.1. Sort 2, p, x, -0.2 in ascending order.\nAnswer: -0.2, x, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 * 44452\nAnswer: -800136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9, -16, -29, -48?\n\"Answer: -3*p**2 + 2*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f**2 + f. Let w be x(-2). Suppose 3*m = 5*b - 111, 0 = -m + b - 2*b - 29. Let d = -30 - m. Solve w = 4*r + d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -555 * -0.3.\nAnswer: 166.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 4*q - 2. Let w(k) = -5 - 1564*k + 1565*k + 5*k**2 - 4*k**2. Determine 3*b(j) + 2*w(j).\nAnswer: 2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 2, v: 4, q: 3}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1164 divided by 6\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/18253049 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2215 to two dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v**2 - 131*v**4 + 176*v**4 - 442*v**4 + 53*v - 2 - 52*v - 208*v**4 to h + r*v**4 + s*v**2 + i*v**3 + o*v and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -356 - -2?\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -189736869 rounded to the nearest 100000?\nAnswer: -189700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 - 60*b**3 + 148*b**2 + 204*b.\nAnswer: -4*b*(b - 3)*(b + 1)*(b + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -27*x + 7. What is d(2)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 56122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**3 + u + 100. Let i be b(0). Suppose 4*w = 3*y - i, -2*w + 7 - 197 = -5*y. Let h = 119\/3 - y. What is the smallest value in 5, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n - 21. Let r be l(-5). Let c(u) be the first derivative of 2 + 1\/8*u**r + 1\/6*u**3 + 0*u - 1\/2*u**2. Factor c(t).\nAnswer: t*(t - 1)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in -0.2, -2\/9, -0.4, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 67.21903ml?\nAnswer: 0.06721903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 11*t**2 - 10*t - 3. Let g be p(-12). Round g to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -1 (c) -21 (d) -13 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(480) + sqrt(480)*1))\/(sqrt(20)\/sqrt(2)*-3*-5).\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1532 (base 7) to base 15.\nAnswer: 2ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + t - 22 = -3*t, 5*s + 68*t = 80*t + 11 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/6)\/(2\/(-12)). Let k(n) be the third derivative of -13*n**4\/24 + 5*n**3\/3 + 16*n**2. Let y(i) = -4*i + 3. What is d*k(z) + 7*y(z)?\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 8 = 4*b - 0, b - 2 = 4*n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -435 + 411 - (4 + -65)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108 - 23 - 3*c + 91.\nAnswer: -3*c - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9113042 rounded to 1 dp?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3\/5 + 4148*s**2\/5 + 213824*s - 648960.\nAnswer: 4*(s - 3)*(s + 520)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14887 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/544*-4)\/(3*(-3)\/(-216)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*t - 6 = 0. Suppose -t*u = u - 27. What is the remainder when u is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 815 (base 13) to base 6\nAnswer: 10202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g - 4*g - 24270*g**2 - 144 + 24271*g**2. What is p(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(12\/11)\/y**(-5))\/((y*y**39*y)\/(y*y**23\/y*y)) assuming y is positive.\nAnswer: y**(-120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20657506, 20657505, 20657504, 20657503, 20657502, 20657501?\n\"Answer: -q + 20657507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 321100 (base 8) to base 7\nAnswer: 624110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -208*a**4 + 2*a - 38?\nAnswer: -2496*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1)\/t**(1\/5)*t\/(t*t*t\/((t**(-2)*t)\/t))*t**(-2)\/t*t**1\/(t*t*t*t**(2\/21)*t*t)*(t**(-2)\/t)**(3\/5) assuming t is positive.\nAnswer: t**(-296\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02434 to three decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/33 + 1992\/(-2310) and ((-74)\/21)\/(60\/(-18)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11780*r**4 - 421*r**3 - 56*r**2 - 2*r - 136737 wrt r?\nAnswer: 282720*r - 2526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 11*j**2 + 250*j + 18. Determine d(-21).\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.94 + 0.06. Let i = -12 - -10. What is the closest to i in -0.4, u, -1\/12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7177282 to four decimal places.\nAnswer: -1.7177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + (-14 - (-31 + -1))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43935862?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 0*y**2 + y**2)*(10*y**2 - 6 + 6) + 0*y**3 - y**4 + y**2 + 0*y**3.\nAnswer: -21*y**4 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*u = -14, u + 2*u - 46 = -4*x. Let f(s) = s**2 + s + 2. Let k be f(0). Suppose k*b - 25 = 13. Calculate the remainder when b is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 6*z - 30. Suppose z*x = 2*m + 2, -2*x + 2*m = 5*m + 3. Find the second derivative of -20*y**5 - 255*y + 277*y + 0*y**2 + x*y**2 wrt y.\nAnswer: -400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 7 = 9*k. Differentiate -5*z**3 + k*z**3 - z**3 - 7 with respect to z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5166\/224*1)\/(5*(-30)\/200). Let p be (16\/(-2))\/(3\/12). Which is smaller: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + r**2 - r - 1. Let w be m(0). Let n = 3 - w. Suppose n*j - 6 = 6, 4*f = 5*j + 57. Calculate the highest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 11\/6*r**3 + 2*r**2 + 0 - 1\/4*r**4 - 9*r. Find the common denominator of k(5) and -41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (34551\/924 + (-3)\/(84\/32))*16\/40\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -25*v**2 - 48*v + 3. Let t(z) = -24*z**2 - 50*z + 2. Let j(s) = 3*t(s) - 2*u(s). What is the second derivative of j(n) wrt n?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -41, -50, -63, -80, -101?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjy when three letters picked without replacement from {j: 5, l: 1, q: 2, y: 6, a: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/767 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.6, 9.123, -4, -1\/3 in descending order.\nAnswer: 9.123, -1\/3, -2.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) - 1*sqrt(112)\/sqrt(2))\/(-3*-1*sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (3 - 3) + 3 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 17, -0.4, 0.6, -0.1?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 - 77. Let w be -4 + (2 - f) + (14 - 2). Suppose w*j - 1026 = 2923. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 27*b**2 + b - 17. What is u(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/178309 or 1?\nAnswer: -1\/178309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*m = -31*m - 86330 + 7466. Is 31 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**3\/3 - 3*r**2\/2 + 2*r + 4. Let h be j(3). Find the third derivative of -d**h + d**6 + 2*d**2 + 0*d**6 - 5*d**6 wrt d.\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-14))\/(5\/((-100)\/110)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.05 (b) 0 (c) -1\/3 (d) 0.008\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001807 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 171912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 438539, 438544, 438549, 438554, 438559?\nAnswer: 438564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 + 5*a + 4. Let f(r) = r**3 - 67*r**2 - 26*r + 1742. Let j be f(67). What is i(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -67*t**2 - 3*t - 6. Let d be w(-3). Round d to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -0*g - 184. Calculate the remainder when 43 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123906317?\nAnswer: 123906317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -797*l + 30579 - 22274 = -43500 for l.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (-2 + 6 - -18). Let y = -21 + j. Sort 3\/2, y, -2 in descending order.\nAnswer: y, 3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 9*u - 7*u + 462, 3*v = -3*u + 477. Calculate the remainder when v is divided by 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + -3 + sqrt(34)\/sqrt(2) + sqrt(17) + sqrt(17) + sqrt(17)*-2 + 4 + sqrt(17) + 1 + 4 + sqrt(68)\/sqrt(4) + 4)**2.\nAnswer: 48*sqrt(17) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from {z: 1, e: 1, a: 1, l: 1, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 + 7*j + 4. What is the tens digit of x(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8021.378t in milligrams?\nAnswer: 8021378000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d4 + 1?\nAnswer: d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.65 + 7.65. Suppose -3*z - 15 = -6*z. What is the second biggest value in 0.2, z, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + r - 27389 = -3*r, 0 = 4*q - r - 36506. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*(sqrt(17) + 4) + -4) + (5*sqrt(153))**2 + sqrt(2057)*4.\nAnswer: 20*sqrt(17) + 3705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-1*sqrt(144))\/sqrt(6))\/sqrt(12) + sqrt(24)\/(sqrt(96)\/sqrt(128))).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31381 - -345239\/11. Sort 0.2, a, 0.3, -2\/5 in increasing order.\nAnswer: -2\/5, 0.2, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**2 - 2 + 51*s**3 - s + 68*s**3 - 83*s**3 + 80*s**3 as o*s + l + x*s**3 + p*s**2 and give x.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 + m**2 - 4*m**2)*(705*m**3 - 10689*m**3 - 5814*m**3 - 3632*m**3).\nAnswer: -38860*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o. Let b(z) = z - 1. Let q be b(-4). Let m(u) = 3*u. Suppose -3 = -3*p - 21. Let w(f) = p*s(f) + q*m(f). Let i(r) = 2*r. Determine i(w(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + i + 1. Let f(b) = -4*b - 11. Let g(o) = f(o) + 5*l(o). Let m(p) be the first derivative of g(p). Find the first derivative of m(w) wrt w.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2\/67, 5, 0.5, 2\/61, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1087*l = -13044, 493*n + 32 = 495*n - 3*l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8529.493 micrometers to millimeters.\nAnswer: 8.529493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 742?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95852134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -138 + 136.41. What is l rounded to one dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**4\/8 - 111*f**3\/8 - 3*f**2\/8 + 111*f\/8 = 0. What is f?\nAnswer: -1, 0, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.3 in -2\/5, 0.5, -2\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1)*m)**(4\/11)\/(m**(-6)\/m*(m\/(m*m**(-1\/4)))\/m) assuming m is positive.\nAnswer: m**(389\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1200)\/168)\/(-25) + (-36)\/28?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -2\/9 (c) 74\/9 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05839098 to 3 dps.\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 4*f**2 + f + 6. Let d be r(3). Let i(c) = -c**3 + 17*c**2 + 17*c + 25. Let h be i(d). Solve 0 = -h*x + 6*x + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 77*j**3 - 4 - 38*j**3 - 71*j**4 + 3 - 41*j**3 in the form o*j**3 + i*j**4 + t*j**2 + s*j + b and give i.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2344 + 2346. Let m(a) = -2*a**3 + 7*a**2 - 9*a + 2. Give m(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6630 + 5946 = -38*c for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 465 (base 9) to base 13.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + u**2 - 28*u - 2 + 6 to the form j*u**2 + n*u + c and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrvvvvqurrvrvmvrv. What is prob of sequence vvrm?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 468?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6558 = -240*s - 3703 - 3899 for s.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18358319872991871 + 18358319524136948.99999964. Let g = 348854929 + p. Let u = g - 7. What is u rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 0, -16, -40, -72, -112, -160?\n\"Answer: -4*c**2 - 4*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 100 + 40. Suppose 15*m + 6 = f*m. What is the fourth biggest value in m, 4, 2, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*s - 3*s + 2*s)*(18 + 6 - 6) as i + d*s and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 141816 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.94 + 0.06. Which is the third biggest value? (a) -1 (b) g (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*n - 818 + 899 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 249*a + 460*a - 2 to z*a + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**3\/13 + 1930*n**2 - 25076*n\/13 - 150528\/13 = 0.\nAnswer: -2, 3, 12544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 3*l. Which is the closest to -0.1? (a) 1 (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 813 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27201 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-12)\/(f*f**7))\/(f**(-16)*f**6) assuming f is positive.\nAnswer: f**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/30 and -111\/520.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 12. Suppose -3*f = -2*v + 388, 171 = 5*f + 2*v + 839. What is the remainder when (4\/(-3))\/(8\/f) is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 252530 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c6f33 (base 16) in base 13?\nAnswer: -503263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*m - 9 - 3, 4*m + 4*i = 12. Suppose -17 - 64 = -m*k. Is 27 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67 + -65. Let s(o) = -3 + 7*o - 23*o**b + 4*o**2 - 16*o**3 + 12*o**2. Let l(f) = 5*f**3 + 2*f**2 - 2*f + 1. What is -7*l(h) - 2*s(h)?\nAnswer: -3*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 25. Suppose l + l - 135 = -3*t, 4*l + 5*t - 271 = 0. Suppose -m*h + 300 = l. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277384586.\nAnswer: 2, 138692293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -478*q**2 - 8*q. Let w(r) = -2*r. Give w(v(b)).\nAnswer: 956*b**2 + 16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27808 is divided by 26577?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-4)*82\/3. Let i be 21730\/(-492) + -2 + 26\/12. Let h = w - i. Solve -4*c - 18 = h*m, 2*m + 0 = -c - 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 = -201*k - 732 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q**2. Suppose 4*c = g + 8, -2 = -2*g + 2*c - 6. Let d(v) be the second derivative of -20*v - 1\/3*v**4 + 0*v**3 + 0*v**2 + g. Calculate z(d(n)).\nAnswer: 64*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/9)\/((-4)\/12). Suppose 4*k + 2*x = 3*x + 15, -10 = -i*x. Suppose 40 = k*m - m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5356)\/(-309) - (-20)\/(-1)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1265 - -67?\nAnswer: -1176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -10*r - 2. Let y be i(1). Let j = y + 10. What is the nearest to 0 in j, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 4, 30, 76, 148?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -352*l - 2. Let c(i) = -1751*i - 11. Calculate 4*c(o) - 22*k(o).\nAnswer: 740*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35793 is divided by 200.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -19070133.756 to the nearest 1000.\nAnswer: -19070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17 (b) 43\/3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -42*p + 5. Let f(n) = -1525*n + 183. Let x(s) = -5*f(s) + 183*j(s). Let v(k) = 32*k. Give x(v(i)).\nAnswer: -1952*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 43.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, e: 2, y: 1}. What is prob of picking 1 y and 2 e?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -31375757350 rounded to the nearest 1000000?\nAnswer: -31376000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1716)\/(-84) + -6 - 4\/(-7). Solve 1 = -2*w + s, -2*s + 5*s = -3*w - d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 9:52 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 137 - 33. Suppose j + 152 = 5*o, o - v = j + j. Calculate the remainder when 85 is divided by o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8122.\nAnswer: 2, 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1123\/54 + 1105\/54. Let o = 161 - 1131\/7. Put o, b, -3, -19 in ascending order.\nAnswer: -19, -3, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1258.7416 and 167.87.\nAnswer: -1090.8716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4459918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -247.6 - -251.6. What is the third biggest value in z, 84, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3767914 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 1)*(1 - 1 - 3)*(j + 2*j**2 - j) as k*j**2 + s + v*j and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 0.2, -2\/11, 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/(-6)*(-9)\/6. Suppose 5*j - 4*f - 35 = 0, -a*j - 4*f = -2*f - 5. What is the third derivative of -3*i**j + 3*i**2 - 11*i**2 - 5*i**3 wrt i?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**8\/6720 + n**7\/630 - n**6\/180 - n**5\/40 - 71*n**4\/12 - n - 37. Let d(x) be the third derivative of s(x). Determine d(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7.32 and 16019504.\nAnswer: 16019496.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, 1, -3 in descending order.\nAnswer: 103, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 11*n**2 - 11*n - 11. Suppose b - 11 = 1. Let s be d(b). What is the greatest common divisor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175060 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 + f + 16. Let d be c(0). Suppose -728 = -d*n + 14*n. Is 26 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27489?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4756 and 32554?\nAnswer: 1888132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6526.\nAnswer: 2, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/47, -0.3, -4\/3, -1\/5 in decreasing order.\nAnswer: -2\/47, -1\/5, -0.3, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34 - 313650?\nAnswer: -314014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 188510313*g*m**4 - 8471*g + 63589*m wrt m.\nAnswer: 2262123756*g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*o - 2*o + 34 = 0, -5*x - 67 = 4*o. Let q be 79\/5 + 12\/x. Let d = q - 12. What is the greatest common divisor of 33 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31474.\nAnswer: 2, 15737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m + 35 = -20*m + 135 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1221854.4 nanoseconds?\nAnswer: 0.00002036424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a - -3d0?\nAnswer: 3da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/2)\/((-39)\/(-9) + -2). Let o = s + 26\/7. Factor -o*c**2 + 0 - 1\/6*c**3 - 1\/3*c.\nAnswer: -c*(c + 1)*(c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 1\/27, 0.186984?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from sxxxxxhxshhhhxuxhht.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 - -0.27. Let i = -0.37 - -0.27. Which is the nearest to w? (a) 5 (b) i (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n + 4*n - 4*n + n. Let w(i) = -21*i. Suppose -4*v + 0*s - 77 = 5*s, -5*v = 3*s + 93. Let a(y) = -6*y. Let q(x) = v*a(x) + 5*w(x). Give q(u(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v. Let d(y) be the second derivative of -y + 0*y**3 + 0 + 0*y**2 - 1\/4*y**4. Determine b(d(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -43353 plus -2.14410796?\nAnswer: -43355.14410796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*t + 59 = -9 - 1. Which is the closest to 0.5? (a) t (b) 0.5 (c) 3 (d) 2\/237\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38393*s + 9*s**2 + 38393*s.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108584 and 3346.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from ppppppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36910125 divided by -43.\nAnswer: 858375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*4*106865\/2010*3\/11\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 - 10*o**2 + 8*o - 4. Let n(s) = -3*s**2 + 5*s**2 - 113 + 119 - 11*s. Let x be n(4). Calculate the remainder when 46 is divided by v(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21882 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.103 + 12.\nAnswer: 12.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = -0*k + 9. Let y be k*((0 - -1) + 1)\/(-2). Let n(r) = -673*r + 4. Is n(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7314231 (base 8) to base 5.\nAnswer: -444031414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 3)*((-20 + 20 - 11*c)*(10*c - c - 2*c) + 3*c**2 - c + c) as i*c**2 + d*c + l and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a (base 15) in base 9?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384 and 2136?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.1 + -172915152.3776.\nAnswer: -172915172.4776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -126*l**4 + 8 + 53*l**4 + 38*l**4 with respect to l.\nAnswer: -140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - 4*o + 3*o)*(2*o**3 + 2*o**2 - 2*o**2) + 4*o**4 + 0*o**4 - 5*o**4 + 49*o**4 - 25*o**4 + 34*o**4.\nAnswer: 47*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -23*l**2 - 1562*l - 1536. Determine d(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*b**4 - 62*b**4 + 22*b**4)*(-4 - 1 + 4).\nAnswer: 93*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36150476 - -5.\nAnswer: -36150471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clc when three letters picked without replacement from {l: 7, c: 7}?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/7 + -8\/21. Suppose 0 = 2*o - 3*o. Which is the closest to 2\/7? (a) q (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 times -1108122.7\nAnswer: -18838085.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 574175 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 9 = -19 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - 2*j + 0*j)*(0 + 0 - j**3) - 3*j**3 - 3*j**4 + 3*j**4 + 2*j**4 in the form q*j + c + d*j**2 + n*j**3 + w*j**4 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l**2 + 2 + 433*l**3 - 1 - 431*l**3 in the form v + j*l + r*l**2 + k*l**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 + 10*a + 49*a**2 + 4 - 8*a - 395*a**2 - 5 in the form g*a + y + f*a**2 + w*a**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -322144 + -1420?\nAnswer: -324114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 1*-4*2. Let k = 0 - q. Solve -k*u = 4*c - 25, 0*u - 5 = 2*c - u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-220) + 6\/(-8))\/((-1)\/(-35)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.02 + -0.02. Let u be (-6)\/1*(-1)\/(-2). Suppose -3*q = 5*z - 6*z - 15, z - q + 5 = 0. Which is the closest to z? (a) u (b) 0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40781364 by -78.\nAnswer: 522838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1777 and 146?\nAnswer: 259442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*n = 111, 4 + 11 = 5*n. Is (10\/(-3))\/(4\/x) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2265, 2278, 2305, 2352, 2425, 2530, 2673?\nAnswer: 2860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 74b37 (base 12) in base 14?\nAnswer: 4001d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r**3 + 3*r**2 + 3*r + 16. Let i(t) = 5*t**3 - 4*t**2 - 4*t - 17. Calculate 3*i(x) + 4*y(x).\nAnswer: -x**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m + 2. Let x be l(-3). Let a be x*(-2 - -1)*-1. Solve -5*z + a = -2*p - 12, p + z - 3 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1\/3, 5, 1, -130, -4\/7, 0.062?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173805 is divided by 253.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -2) + 5 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -9)\/(-2) - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6068785.\nAnswer: 5, 1213757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 25\/3*j**3 - j + 6 + 0*j**2. What is the units digit of b(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 22*p**2 + 49*p - 1. What is k(24)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 3*p + 230. What is the remainder when p is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64565908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 150\/13?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(-1)))**(-1\/5)\/(o*o\/o**1)**(-22) assuming o is positive.\nAnswer: o**(111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2\/13 - 38898*d\/13 + 934704\/13 = 0 for d.\nAnswer: -19473, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6157\/4 + 1550. Find the common denominator of -67\/10 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t**3 + 56*t**2 + 14*t - 11. Determine c(12).\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(0 + 1)*-4. Suppose 0 = w*o - a - 51 + 14, -3*o - 1 = 5*a. Solve -4*f = -o, f = 3*i - 0*i - 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/2415 and -97\/130620?\nAnswer: 3004260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 2:16 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 6:20 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-19)*(s**(-1\/27)\/s)\/s*(s\/s**(-13))\/(s*s**(-34)) assuming s is positive.\nAnswer: s**(701\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6816681.385 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s. Let a(u) be the third derivative of -u**4\/4 - 5*u**2. Determine 4*a(f) - 9*o(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*s = 21 + 4, 0 = 4*s + 20. Let w be ((-4)\/(q\/(-3)))\/((-48)\/160). Calculate the highest common factor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -785, 0.4, 0.042, -7\/4, 1\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 8303*w - 8303*w - w**2.\nAnswer: -w**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 0, 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/j**(1\/2)*j)*j**(-48)*(j**47*j)\/(j**(1\/5)\/j))**(-11\/2) assuming j is positive.\nAnswer: j**(77\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-1710))\/((-28)\/42*2\/(-4))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mshhjbm. Give prob of picking 1 h and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1301*-0.312\nAnswer: 405.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546*h + 173 = -486*h + u, 3*u - 2*u = 5*h - 3*u - 43 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17846.43 + -17890. Round r to one dp.\nAnswer: -43.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 4*m, -5*m + 3*j + 0*j + 17 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3660917, 14644568, 32950647, 58579148, 91530065?\nAnswer: 131803392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**3*t*y + 122*j**3*y**2 + 23*j**2*t*y**2 wrt t?\nAnswer: -j**3*y + 23*j**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -126 - -158. Calculate the greatest common factor of h and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 14277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22, -110, -190, -256, -302, -322, -310?\n\"Answer: s**3 - 2*s**2 - 89*s + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*v = -8, 3*c + 9 = -3*v - 9. Sort 2\/9, c, 0.4 in decreasing order.\nAnswer: 0.4, 2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45906\/19 + 2416. Let n be 1\/(-5) - (-9)\/(-5). Put n, z, 0.4, 5 in decreasing order.\nAnswer: 5, 0.4, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 - 6*j - 3. Let d be l(-7). Is (d\/(-1 + 2))\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -11*y - 8. Suppose -2*q - 36 = 4*q. What are the prime factors of r(q)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/12)\/((-2)\/(-30)). Let q(o) = 5*o - 5. Let y be q(v). Let g be (2\/4)\/(15\/y). Which is the closest to g? (a) -0.1 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7890, 7893, 7900, 7911, 7926?\n\"Answer: 2*s**2 - 3*s + 7891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/359, -2\/5, 2\/4561?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-72)*6*1\/(-28)*-12.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.78 and -4473.182.\nAnswer: -4474.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 60, 114, 168, 222, 276, 330?\n\"Answer: 54*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -7 - (-13 + 7 + -9 + 10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 298606 and 21560.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**5 - 826*m**4 - m**3 - m**2 + 640*m + 4 wrt m?\nAnswer: -60*m**2 - 19824*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 118, 262, 464, 724, 1042, 1418?\nAnswer: 1852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by (28 - 0)*3*(-6)\/(-63)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/9 - (-640)\/6. Let u = j - -76. Suppose 3*n - 558 = -3*o, 3*o + u = 4*n + 726. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29958 + 58063 + 145013 = -12116*g - 312186 for g.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f**3 + 2*f**2 + 3*f - 5. Let l(n) = 9*n**3 + 3*n**2 + 5*n - 11. Give -3*l(s) + 5*x(s).\nAnswer: -2*s**3 + s**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.346 + 0.346. Put -0.2, -6\/5, c, 0 in descending order.\nAnswer: 0, -0.2, -6\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ugcgugugcuguuuuu. What is prob of picking 4 u?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*v - 6154 + 6154.\nAnswer: 40*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3408*r + 11624 = 6747 + 38957 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1.11, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = t + 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**2 + 47*z + 154. Determine m(14).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - 0. Let t = z - 0.2. Let i = 0.4 - t. What is the nearest to i in 0.1, -1\/3, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 450 by -50.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 89*j**2 - 2*j - 3. Let v(d) = d**2 + d. Let m(x) = p(x) + 5*v(x). Is m(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0\/z*z)**(5\/3)*(z**(-7\/5)\/z)\/z**2)\/(z**1*z*z*z**(-4))**(18\/13) assuming z is positive.\nAnswer: z**(-196\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 - 28618*w**2 - 1340631*w - 140. Determine m(-47).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 5*d + d)*((2 - 2 + 5)*(-2*d - d + 2*d) + 261 + 137*d - 261).\nAnswer: -132*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3. Let f(c) = 4*c**3. Let z = -857 + 854. Give z*f(g) + 15*b(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -131, -322, -517, -716, -919, -1126?\n\"Answer: -2*f**2 - 185*f + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 205308 and 10.\nAnswer: 1026540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 720 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1812197.11 * -0.5.\nAnswer: -906098.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 - 2 + 2 + (g - g + 3*g)*(-2 - g + 2) + 70*g**2 - 26*g**2 - 32*g**2 - 3*g**2 + 0 + 0 - g + g + 2*g**2 + (-5*g + 3*g + 0*g)*(2*g - 1 + 1).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 91477a (base 13) in base 7?\nAnswer: 40506005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p - 6. Let o be (1 - -9)*(-2)\/4. Let f(u) = -6*u + 5. Let m(t) = 10*t**2 + 31*t - 3. Let q be m(-3). Determine o*a(g) + q*f(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 961\nAnswer: 480.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/(-12))\/((-2)\/468). Let w be 6\/9 + u\/63. Is -4 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.9436637km?\nAnswer: 94366.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/7 - 656682*m\/7 + 1313372\/7.\nAnswer: -2*(m - 2)*(m + 328343)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-15)\/(-10) - 2) - -35. Suppose -4*t - 21 = -5*i + 152, -i + s = -2*t. Calculate the highest common factor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-16)\/(-8)*4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n + 10 = -5*l + 16*n, 0 = 4*l - 2*n - 18. Suppose -11*f + 7*f = -s - 7799, 4*f - l*s = 7802. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -13*k**6\/30 + 11*k**3\/6 + 21*k**2. What is the derivative of q(v) wrt v?\nAnswer: -156*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56717235 and 270?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130001 + 26*q + 259990 - 129989.\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1083553 (base 14) to base 5.\nAnswer: 4002034044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 704\/(-96) - (-9 - -2). Let w = 2.89 - 2.8. Which is the second biggest value? (a) 0.2 (b) y (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*s**3 - 8*s**2 - 28*s - 8.\nAnswer: 4*(s - 2)*(s + 1)*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -8*h**2. Let x be a(2). Which is smaller: -33 or x?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - 7192\/(-203)) + 25*(-143)\/77\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148, -294, -440?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 197614776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q**2 + 10*q. Let o(c) = 2*c**2 + 13*c. Let m(y) = 5*y**2 + 38*y. Let x(k) = 6*m(k) - 17*o(k). Calculate -5*s(g) + 7*x(g).\nAnswer: 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 9:55 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 20*g + 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5049 = 362*k + 223*k - 24*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7 + 7*z**2 - 7 + 8*z**2 - 9*z**2. Let q(c) be the first derivative of -c**5\/120 - c**3\/3 - 1. Let a(g) be the third derivative of q(g). Give m(a(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50551 + -22?\nAnswer: 50525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**6\/60 - 698*c**5\/5 + 487204*c**4 - 2720547136*c**3\/3 + 949470950464*c**2 - 4388*c. Find k, given that d(k) = 0.\nAnswer: 1396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (-1 + 9) - -26 - (-1 - -1) - -116.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/33892 and 103\/25604.\nAnswer: 5863316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 78, -5 in decreasing order.\nAnswer: 78, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76744 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 2, -20, 6, -3 in descending order.\nAnswer: 6, 2, -3, -20, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70672 by 1262.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, p: 10, k: 2}. Give prob of picking 1 c, 1 p, and 1 k.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + (1*sqrt(2))**2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -882 or -881?\nAnswer: -881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 661 (b) 1\/3 (c) 0 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2126*f + 16353 = 30273 + 34978 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/10 - (-2)\/4. Let s be ((-13)\/l - -3 - -6)*2. Calculate the highest common divisor of s and 205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t**4*w**2 - 10*t**3*w**3 - 7*t*w**3 + 2*t - 2*w**3 wrt t.\nAnswer: -12*t**2*w**2 - 60*t*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 607293 and 81?\nAnswer: 5465637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 117 - 106. What is the biggest value in -5, a, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60 - -54) + (12 - -4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of z**3\/3 + z**2\/2 + 35*z - 9. What is the tens digit of x(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/42*(-1662)\/(-8). Let m = 173\/8 + k. Find the common denominator of -77\/4 and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*d**2 - 40*d**2 - 8 + 8 - 39*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.25 * -49.\nAnswer: -61.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -618*v - 3*n = -618*v, -3*n = -v - 4*n - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 11. Suppose q*i - 86 = 5*z, 0*z - 3*z - 6 = 0. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42094333 a multiple of 337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 643299 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 27 = -5*j, 2 = -2*u - 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -134 + 130. Let x = 9 - 6. Let l = x - 2.8. Which is the nearest to r? (a) 4\/7 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16.409 in 249, 0.4, -3\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in -3, -0.5, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 1175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 345*b**2 - 36*b - 22. Let a(p) = -69*p**2 + 6*p + 4. Calculate 11*a(r) + 2*d(r).\nAnswer: -69*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 517*q**4\/2 + 85*q**3\/3 - q**2\/2 + 271. What is the third derivative of d(h) wrt h?\nAnswer: 6204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 6*h = 9. Differentiate -81 + 6*w**4 - 149*w**h + 149*w**3 wrt w.\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**5\/60 - 5*g**3\/2 - 4*g**2. Suppose 9*i - 40 = 4*i. What are the prime factors of q(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3\/8, 6\/11.\nAnswer: 0.1, 3\/8, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 82937717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(240\/(-9)))\/((-6)\/(-24))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3071\/30 - -205\/2. Let y = -7.8 + 7. Let w = y - 0.2. What is the second smallest value in w, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 514395 and 418545?\nAnswer: 3195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 1:32 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*2 + 1062\/(-6). Let g = 257 + b. Let h = -482 + g. Round h to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -176.289 - -176. Round o to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1141 is divided by 378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {g: 6, h: 7}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*a + 1. List the prime factors of 2\/(12\/238)*(a - 1).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 26) + 0 - -19.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*5\/(30\/(-78))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -29, -28, -23, -14, -1, 16?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**4 - o**2 + o - 1. Let a(v) = -30*v**5 - 86*v**4 - 86*v**3 - 27*v**2 + 7*v - 2. Let u(t) = a(t) - 3*s(t). Solve u(y) = 0.\nAnswer: -1, -1\/6, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1477 divide 914415131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1770.683 - -1772. Let q = m + -1.3. What is q rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 11*l**2\/2 - 4*l - 8. Let z(x) = 12*x - 5. Let f(s) = 7*d(s) - 6*z(s). Find the first derivative of f(c) wrt c.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 2\/7 (b) -2 (c) -0.142\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 827991 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 380 + 392. Which is the closest to -0.1? (a) u (b) -3 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/(-6) - (-7 - -2). Let y be (3 - 3) + 2\/7. Which is the biggest value? (a) y (b) 5\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*v - 714 - 2171 = -50 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1706.678011 - 1707.878. Let f = 0.02 - -1.18. Let h = v + f. Round h to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -1 - 9*7\/(-14)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 - 2 - -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354056?\nAnswer: 2, 44257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y + 20. What is m(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -14, -210, 4, 3 in descending order.\nAnswer: 4, 3, -3\/5, -14, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 7*v**2 - 121*v + 1559. Give m(14).\nAnswer: 1237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/3 + 22391062*b**2\/3 + 313474574*b\/3 + 365720222.\nAnswer: 2*(b + 7)**2*(b + 11195517)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1013200 + 113310?\nAnswer: -233230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**4 - 7*r**2 + 7*r**2 + (-89 + 89 + 24*r**3)*(0*r + 0*r - 3*r) + (1 - 1 - 2*r**3)*(r - 1 + 1) + 5*r**2 - 5*r**2 - r**4.\nAnswer: -78*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 8. Let s = -1.34 + -1.66. Let u = 66 - 129\/2. Which is the third smallest value? (a) x (b) u (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 3630700.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, c: 1, s: 1, t: 2, i: 1}. What is prob of picking 2 v, 1 i, and 1 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19950 and 24605?\nAnswer: 738150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.29 * 2770\nAnswer: 803.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.55 + 0.24. Let r = d - 2.47. Is 1\/3 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 2. Let u be 4 + 6 + -2 + -1. Suppose 0 = 4*y + 12, -u*v - 69 = -3*v - y. Let o be 3 - (-50)\/v - (-94)\/(-18). What is j(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1037 + 71 = 2*j + 4*c, -c - 2451 = 5*j. What is the common denominator of -1\/10 and (-6)\/10 - (-5 + j\/(-40))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 327?\nAnswer: -98.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*s - 0*s. Suppose -16 = -2*v - s*v. Find the second derivative of 11*d**4 - d**v + 3*d - 3*d**4 - 2*d wrt d.\nAnswer: 84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j = -2*j + 25*j + 288. Solve 2*b - 23*w + 30 = -j*w, 1 = 3*b + 4*w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26332 = 1334*i + 7018 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.04 - 0.04. Let f = o + -2.9999999. What is f rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -k + 12. Calculate the smallest common multiple of 1\/k + (-120)\/(-18) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-22)\/(-33)*(-4 - 26)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**5\/20 - 7*n**4\/12 - 3*n**3\/2 + 4*n**2 - n. Let x(k) = -k**3 + 4*k**2 + k + 5. Let y be x(4). Is g(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by 42.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2847 is divided by 150?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 + 0 + 44\/12. List the prime factors of 3741\/g + 17\/(-68).\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 400 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 4 - 12)*(3*p**4 - 5*p**4 + 2*p**2 + 0*p**4)*(-8 + 13 + 27).\nAnswer: 2624*p**4 - 2624*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -452 - 248. Let v = -332 + j. Calculate the common denominator of -41\/8 and v\/(-63) - (-2)\/7.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 173188?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 - 68. Is 6 a factor of (-3)\/9 - u\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 9:31 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1461*r**2 + 31*r - 159. Is v(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -6548 (b) -231 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**3 + 6*s**2 - 4*s - 1. Let v be w(4). Let z = v - -1019\/9. Let n be ((-6)\/8)\/((-2)\/4). Which is the nearest to 1? (a) z (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4053 or 1\/38?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003923534716 to seven decimal places.\nAnswer: 0.0000392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/8*(124 + -123)*12\/30?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 3:02 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dtppttdpdtpdptt.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 76 (b) -0.3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1\/1) + 360\/168?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2247 - 2238. Calculate the greatest common divisor of 49 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**3\/6 + 2*t. Let q be x(-1). Let c(m) be the first derivative of 3*m**4\/4 + m**2\/2 + m - 1. What is c(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 18*l**2 - 19*l + 32. Let b be q(17). Let s(j) = 2*j**3 + 4*j**2 + j - 2. Give s(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-44703)\/(-24) - 1\/(-4). Let q = 1858 - a. Find the common denominator of -41\/2 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4\/((m**3*m)\/m))**(4\/9)\/((m**(-3)\/((m*m**(-2\/3)*m)\/m))\/(m**(-4\/9)*m**1)) assuming m is positive.\nAnswer: m**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d + 14499 + 21525. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3373259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24414 and 6.\nAnswer: -146484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 + 8040*a + 4040100.\nAnswer: 4*(a + 1005)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 5 + 2 + 29*u)*(-2 + 2 - u**2) to the form o*u**3 + h*u + c*u**2 + j and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*v**3 - 2 + 280*v - 280*v.\nAnswer: 30*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 312, 467, 622?\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 3*c + c)*(1339 - 1339 - 156*c).\nAnswer: 468*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence olh when three letters picked without replacement from hboal.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-2)*3 + 2. Let u = x + -5. Find the third derivative of 2*l**2 - l**6 + u*l**2 - l**6 wrt l.\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3696\/(-77)*39\/(-1248)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 6:46 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 161*s**2 + 1649*s - 132. What is the least common multiple of 438 and u(-150)?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 6*g - 3 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11589, 11588, 11583, 11574, 11561, 11544?\n\"Answer: -2*l**2 + 5*l + 11586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbbsrdzrdbr. Give prob of sequence rr.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.585 take away -451833706?\nAnswer: 451833705.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 3*h + 9, -2*z + 9 - 3 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6160*p**3 + 12939*p**3 + 4157*p**3.\nAnswer: 23256*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*o - 775, 13*s - 8*s - 2*o + 3960 = 0. Let a = s - -960. Calculate the greatest common factor of a and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*u + 3*z, 2*z = 2*u + 5*z - 4. Let o(n) = 8*n**2. Let j be o(u). Suppose k + j = 3*k. Solve -2*m + h + k = -m, -m - 2 = h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24 + 1\/(3\/((-9)\/3)). Let n(v) = 0*v**2 + b - 5*v - 5*v - v**2 + 34*v. Is n(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475 - 242 = -13*b + 38 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -f - 2*f. Let m be (-70)\/(-4)*7\/(f\/(-8)). Suppose 3*z - 85 = 2*g + 113, -2*g = -z + m. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 4*d**2 + 4*d + 4. Suppose -1 = 2*y + 5. Let n be (-1)\/y - 20\/6. What is g(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 6*y + 1. Calculate h(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 = 3*f + n, 2*n = -2*f - 6. Let d(o) = -o**2 - o + 5. Let h be d(f). Suppose -2*b - 2*b + 147 = -z, 3*z = h*b - 182. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -3*d**6\/5 - 79*d**2 - 7*d + 6. Find the first derivative of i(j) wrt j.\nAnswer: -72*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - 6*x - 8. What are the prime factors of i(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 285 and 13851?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 251940 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*(sqrt(130)*1 + sqrt(130)))\/(sqrt(10) - sqrt(810)*-2 - sqrt(40)*-4).\nAnswer: 20*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65711.0000061898 - 65711. Round r to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 123 = 4*s + 3*v, -12 = 4*v. Calculate the remainder when s is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 7*d + 6.\nAnswer: (d + 1)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r + 20. Let l be p(-6). Suppose -30 = -3*k - 3*n, -6*k + 2*n + 10 = -2*k. Solve -14 = -k*u + l*g, -5*g - 5 = -2*u - 4*g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16484?\nAnswer: 2, 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*m = 24*m + 2235708. Does 27 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 5*q + 30 - 7, -16 = 4*q. Let g = 105\/4 + -26. Let -g*y**2 - s - y = 0. What is y?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 - 3 = 0. Suppose q + 2 = i. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 96988962 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 5*p + 6. Let m be u(5). Let h(i) = 1 + m*i**2 + i + i**3 - 8 - 2*i**3. Let t be h(6). Which is smaller: -2 or t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5028 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4\/9 + 4*u**3\/9 - 22*u**2\/9 - 8*u\/3 = 0. Calculate u.\nAnswer: -4, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 683 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p - p - p + (-4 + 3 - 1)*(2*p - 2*p + 4*p))*(2 - 4 + 4) to the form c + n*p and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -19*o**2 - 2*o - 2. Let u(i) = -6*i**2 - i - 1. Let n(g) = -18*g + 237. Let a be n(13). Determine a*l(p) - 8*u(p).\nAnswer: -9*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*h - 10932 - 6948. Let l = 925 + h. Suppose -225*g + l = -224*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*w - 42*w - 608 + 614.\nAnswer: -8*w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2494692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24660930*o**2 + 24660909*o**2 - 49321896*o**2.\nAnswer: -57*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 4*s - 9 = 0. Suppose -z - 30 = 4*z. Let v be (-6)\/4 - 33\/z. Sort v, s, 5 in decreasing order.\nAnswer: 5, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + (sqrt(475) - 1*sqrt(475) - sqrt(475))))**2.\nAnswer: 360*sqrt(19) + 17136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**4\/4 + 5*r**3\/2 + 9*r**2\/4 + r\/2 = 0. What is r?\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2 - 1. What is the tens digit of 13*u\/(-1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**5 + 3672*q**4 - 128991*q**3 + 816426*q**2 - 316560*q - 4989600 = 0.\nAnswer: -2, 5, 28, 1188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/(-52)*(-2)\/(-5))\/(2\/52).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21724 is divided by 410.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 - 30*a**2 - 26*a - 179. Calculate the remainder when 1042 is divided by p(-15).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*f + 24, 3*c + f - 9 = -2*f. Let n(l) = -c - 4*l**2 - 2*l**2 - 12*l**3 - 6*l + 8*l**3 + 3*l**3. Let y(u) = -u - 2. Let a be y(3). What is n(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5552)\/58990*2\/((-8)\/5).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132123322232100 - 11?\nAnswer: 132123322232023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1774 - 1954 = -15*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-886222 + 1696*t + 886222)*(3 - 3 + 3).\nAnswer: 5088*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 + -90. Calculate the common denominator of (-1)\/(-3) - u\/(-21) and 33\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - z + 3 = 0, -4*z = 2 - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -243388 + 243917.268. Let b = 531 - l. Round b to one decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 46 = 5*a. Suppose -3*b = -3 - a. Solve b*u + 20 + 0 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 12*l = 216. Suppose 3*v = v + 30. Calculate the remainder when v is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-9))\/(-5 + 2 + 1). Find q, given that -2\/3*q - h*q**2 - 1\/3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, m: 4, v: 1}. What is prob of picking 1 v and 1 y?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(7\/5))\/r**(9\/2))**44 assuming r is positive.\nAnswer: r**(-462\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 13571.48 to the nearest one hundred.\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 247*h + 889. List the prime factors of r(26).\nAnswer: 3, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.181 + -4.819. What is the closest to -0.2 in 0.2, -1, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.005 or -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 - 3*p + 7. Let r be x(3). Let w = 21 + r. Which is bigger: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(500) + -2 + -3)*-1 - 4*(3 + 3*sqrt(500))) + -5)**2.\nAnswer: 3120*sqrt(5) + 84644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68130 and 249810?\nAnswer: 749430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*l - 0*l. Let i(o) be the first derivative of -2*o + o**2 + l*o - 2 + o**3. Find the second derivative of i(n) wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*s**2 - c*s - 4119*c - 2*s**2 + 351*s - 11 with respect to c.\nAnswer: 2*s**2 - s - 4119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 636, -6469, -29426, -76161, -154600, -272669, -438294, -659401?\nAnswer: -943916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2. Let q(d) = -4*d + 5*d - 5*d. Calculate q(w(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/8555 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, j: 2, c: 2}. What is prob of picking 1 m and 1 c?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 156900000 to the nearest 1000000.\nAnswer: 157000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4110.400052 + 4110.3. Let f = -13.1 + 13. Let l = v - f. Round l to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-6\/7)\/(v**(2\/15)\/v))\/((v*v\/(v**(1\/3)\/v))\/(v\/(((v\/(v*v**(1\/6)))\/v)\/v))))\/((v**(-1\/7)\/(v\/v**0))\/(v**(-1\/4)\/v)**(-18\/13)) assuming v is positive.\nAnswer: v**(4618\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*f - 4. Sort 12, 2, f in ascending order.\nAnswer: f, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (26\/13)\/(-2 + 8\/3). Does 6 divide ((-234)\/(-91))\/(f\/21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**3*t**3 + 18*k**3*t + 8*k**3 + 72*k**2*t**5 wrt t?\nAnswer: 6*k**3*t + 1440*k**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16372*h**2 + 16381*h**2 - 81887*h**2 + 16377*h**2 + 16381*h**2 + 16383*h**2.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -22*f**2 - 141*f - 54. Let u be k(-6). Factor 0*l + u*l**2 + 6*l**3 + 0 - 3\/2*l**4.\nAnswer: -3*l**3*(l - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2)\/((-1)\/(-6)). Suppose -y*a = -a. Suppose 4*o - 16 = 2*p - 6*p, 3*p - 4*o + 9 = a. Which is bigger: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/((-42)\/16) + 8\/(-12). Solve -2*d + 18 = 3*c - g, -2*d = -2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/10 - -1) + (-101 - -95) - -2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-4) - 1\/2. Suppose 0 = -r*z - 85 + 15. Let u = z - -43. Calculate the remainder when u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612997.\nAnswer: 7, 11, 19, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and -518.\nAnswer: -5698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 211485560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stee when four letters picked without replacement from tstetttttstsststtss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -102 in -4, 1, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12\/56*(-12)\/9\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 723870 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 231 + -228. Suppose 3*d - 10 = -4*p, d - 4*p = -o*p + 1. Let b(i) = i**3 - i**2 + i + 4. Let f be b(0). Solve 3 = -3*m + f*s, -m - 5*s + 1 = -d*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m**3 - 2*m + 1. Let n be z(1). Let j(h) = -5 - 4*h - 7*h**2 - 6*h**3 - 6*h + 4*h. Let f be j(n). What is f rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 450\/(-25) - (-3)\/9?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-31 - (-3 + 4 + 15 + (0 - 5)))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 7 + 3. Suppose 6 = -f*t + 4*t + 2*h, -5*h = -t - 18. What is the third derivative of -4*o**2 + 4*o**6 - 4*o**6 + t*o**6 wrt o?\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2.2. Let j = 79 + -475\/6. Let p be (-12)\/(-20) - 3\/3. Which is the nearest to 0? (a) p (b) j (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -43. Let y(i) = -i - 41. Give 6*k(a) - 7*y(a).\nAnswer: 7*a + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0.5, -1 in increasing order.\nAnswer: -12, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35026942 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -49*x. Let g be b(-1). Let s = -49 + g. Suppose -4*p + 79 = 5*w, -4*w - p + s*p = -61. What is the least common multiple of w and 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.82 and 40.59.\nAnswer: -479.7738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 10*z - 47. Calculate n(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 61*c**2 + 2*c + 2. Suppose 0 = 2*m - 43 + 11. What is the remainder when s(-1) is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -443 + 6*k**2 + 5*k**2 - 3*k**2 - 9*k**2 + 3*k**2.\nAnswer: 2*k**2 - 443","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7633701 divided by -3\nAnswer: 2544567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -0*p - p. Let u(l) = -598*l - 2. Let a be u(-1). Is p\/4 - a\/(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(((-32054)\/99)\/31 + (-55)\/(-5))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -315.9512 - -316. Let d = o + -0.3488. Let i be 9\/(-6)*(-4)\/6. What is the nearest to -0.2 in i, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, -11, 116?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1801782?\nAnswer: 2, 3, 31, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(864) - (sqrt(864)*-2*5 + sqrt(864)))*3*-2)\/((-3*sqrt(1440))\/((sqrt(60) - (sqrt(360)\/sqrt(6) + sqrt(60)))\/sqrt(12))).\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbbbb. What is prob of sequence bbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.6 + 46.4. Let p = 60.00000037 - y. Round p to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = a + 1, 0*a = a + 4*s + 21. Sort a, -2, 3 in decreasing order.\nAnswer: 3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 r when three letters picked without replacement from vujurujrousjvss?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 5*z - 133 = 133 - 273, -2 = 4*v - 9*v - 4*z + 48 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e9 (base 15) in base 8?\nAnswer: -674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 408440751?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*c + 339*c = 261*c + 14516 for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 366303945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o + 0*o + 1 - 5 + o**3 + 3*o**2 - 2*o**3. Let f be y(3). Solve 5 = -f*a + a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 58282 - -4?\nAnswer: 58286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 6. Let c be 3*((-1)\/y - 0). Sort -2, 3, c.\nAnswer: -2, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1737216 and 32256?\nAnswer: 12160512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 327*l**2 + 18*l + 5918. What is w(-327)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 428 + -427. Put 2.7, -0.4, 2\/7, b in increasing order.\nAnswer: -0.4, 2\/7, b, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28941935 to the power of 1\/3, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 187396 greater than 187378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6840)\/(-24624)*(-4)\/5.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) 0.1 (c) 2293.7 (d) 0.5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/2068 and 11\/4.\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 177.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3818674 a multiple of 1418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 69*u**2 + 2*u. Let x(j) = j - 110. What is x(f(p))?\nAnswer: 69*p**2 + 2*p - 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((1 + sqrt(612) - sqrt(612)) + 1)*6 + 2*sqrt(612) + 5 + (-1 + sqrt(612))*5)**2 + 1.\nAnswer: 1428*sqrt(17) + 30278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56880 by -180.\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 55*r**2 - 53*r**2 - 2*r**4 + 4*r - 2*r + 3*r**3 to b*r + x*r**3 + t*r**2 + j*r**4 + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*l + 149*l - 73*l - 1223 + 1223.\nAnswer: 198*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(55\/(-10))*(-5)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-27)*(-66)\/(-330)*(2 + 0).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*w + 3 - 7 + 5 as s + a*w and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7975*n**2 - 8040*n**2 - 1 + 1.\nAnswer: -65*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 6. Let x be r(8). Suppose -70 = -x*w + 140. Suppose 0*z = -5*z + w. Is 21 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/3 of a century?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 1*(-1201)\/570 - (-10146)\/385548.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10675747 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 319, 1, 77, 109, -3?\nAnswer: 319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, 4, -0.2, 2, 239?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*s = -104*s - 63. Calculate the smallest common multiple of 94 and s.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (3 + (4*sqrt(72))**2)) + sqrt(72).\nAnswer: -1155 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f. Let z be -8 - -9 - (1 + -2). Let o(r) be the second derivative of 0*r**z + 1\/2*r**3 + 0 - r. Calculate o(w(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 - 2 - 35568207\/(-296550)?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530 = -4*v - 0*d + 5*d, 5*d = 10. Let l = 250 - v. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 3, 1922, 5\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l + 6*l - 2*l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a = -61*a + 156 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 11511726.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 11:14 PM?\nAnswer: 649","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1846*q + 21 = 1853*q. Let i be (63\/12)\/(-7)*(-3 + 4). What is the nearest to 2\/3 in -6, i, -1, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2*k + 3172575*a**2 - 14330*a*k - 4*k wrt k.\nAnswer: -a**2 - 14330*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1523278509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3516?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uurrgngnankuuaunn. Give prob of picking 1 k and 2 g.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7057 (base 11) to base 8.\nAnswer: 22243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32774400.9 - -1\nAnswer: 32774401.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 914 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 14*a**2 + 4*a + 15. Is 16 a factor of f(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 10*n - 12. Let y be l(12). Let x(v) = v**2 + 3*v - 4. Let t be x(-5). Calculate the smallest common multiple of 20 and y\/t - 1*-2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(33\/7)*d*d)**(-46)*(d\/(d*d*d\/(d**(-49)\/d*d)))**30 assuming d is positive.\nAnswer: d**(-10158\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**4\/6 - 5*p**3\/3 + 10*p**2 - 11*p. Let y be c(7). Which is smaller: y or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1013 + -32?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181943, 363887, 545831, 727775?\nAnswer: 909719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -103*h**5 + 10625*h**2 - 10625*h**2 + (-8*h - 2 + 0*h - 1 + 2)*(-3*h**3 + 3*h**3 + h**4).\nAnswer: -111*h**5 - h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = t + 49, 6*t - 61 = -4*k + 3*t. Let u = k - 5. Let r = u + -6. Solve -3*n + 2*o = 6, 15 = 2*n - 4*n + r*o for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 4:57 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/159 + -757\/212. Let n = -1722661\/96 + 17944. Find the common denominator of g and n.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(57\/(7125\/50)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -131 - -3231. What is a rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80391 and 1477?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**3 - 17*b**3 + 0*b**3 + (-2*b**2 + 0*b**2 + b**2)*(-148*b - 156*b + 9*b) + (3*b**2 - 2*b**2 + b**2)*(b - 2*b + 2*b).\nAnswer: 276*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -116*f - 30. Let z(r) = 113*r + 30. Let q(i) = -5*j(i) - 4*z(i). Differentiate q(x) with respect to x.\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -69, -196, -433, -816, -1381?\nAnswer: -2164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 7*u - 558 = 0. Suppose f - 14 = 17. Calculate the highest common factor of u and f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -18. Let v(t) be the first derivative of t**4\/4 - 3*t**3 + 9*t**2 - 13*t + 1. Is v(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205, 207, 209, 211?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 3*z + 3. Let u(g) = -g**2 + 2*g - 6*g - 5 - g**2 - g. Let k(b) = 3*u(b) + 5*v(b). Let h(j) = -5*j**2. Calculate k(h(d)).\nAnswer: -25*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u**2 - u - 2. Let c be x(4). Let a = -10081 + 10154. Let o = c + a. What is the remainder when 8 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -247085 in ascending order.\nAnswer: -247085, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r + 29*r - 9*r - 7*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -28*4\/(-672)*5\/((-150)\/(-9))?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 335, 1280, 2225, 3170, 4115?\nAnswer: 5060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d**3 + 38*d**3 - 9*d**3)*(4 - 6 + 3) + d**3 + d**3 - 3*d**3 + (2 - 2 + d**2)*(2 + d - 2) to c*d**3 + b*d + y + s*d**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 6, -30, -7, 298, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from {z: 5, p: 3, n: 3, u: 4, m: 4}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1267.\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.98748 to one dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1\/3 (b) 0.3 (c) -77 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -234*n - 3. Let i(f) = 5*f + 4. What is p(i(y))?\nAnswer: -1170*y - 939","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 15 + (-11 - (-27 - -9) - 10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 7*h**2 - 8*h + 16. Let i be t(-3). Solve -l + 2 = -i*l - 4*v, -l = -3*v + 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13245 and 16777?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109 and 68125?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + 6*((sqrt(12) + -1)*-1 + -5))**2.\nAnswer: 648*sqrt(3) + 1157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.24 - -0.66. Let r = i - 0.48. Round r to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7\/3)\/k**(1\/4))**(2\/111) assuming k is positive.\nAnswer: k**(-31\/666)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5746 + 5746.4. Which is the nearest to -0.2? (a) -4 (b) g (c) -85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 12:44 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 0.1, 0.08, 0.023479, -4\/7, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.03 and -194.\nAnswer: -193.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35757*u**3 + 10 - 10 - 29830*u**3.\nAnswer: -65587*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 2. Let m = 1010 - 399. Let h = 619 - m. Give a(h).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4 + 6. Let z = 4\/3 + r. Is -2\/5 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2497172435?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2360498.8 and 0.11?\nAnswer: -259654.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 5*f**4\/3 + 2*f + 3328. Let r(d) = -5 + 0 + 2*d + 5. What is r(s(c))?\nAnswer: 40*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8382 less than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m - 10 = 21*m. Suppose m*o + 0*o = -40. Is o smaller than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27bb8d (base 15) to base 16.\nAnswer: -1d301a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/8)\/(4\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4575061 litres to millilitres.\nAnswer: 457.5061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5127.662 millennia?\nAnswer: 5127662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 112 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*i)**(-2\/103)\/((i**(-6)*i*i*i)\/(i**5\/i)) assuming i is positive.\nAnswer: i**(719\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 - 29*w**2 - 14*w - 5. Let s(r) = -r**3 + r**2 + 4*r + 1. Calculate -3*s(f) - t(f).\nAnswer: f**3 + 26*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*g + 10*g + 161 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkxkkkkxxxkxx. Give prob of sequence kxx.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2537226?\nAnswer: 2, 3, 31, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89272157?\nAnswer: 13, 31, 37, 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odg. Give prob of picking 1 d and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 63 - -177353?\nAnswer: 1773b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*a**2 + 31*a**2 - 54*a**2)*(106*a**3 - 418*a + 418*a).\nAnswer: -5724*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -355*x + 17*x**3 - 7*x**3 - 5*x**3 - 76*x**2 - 10*x**3 - 284*x**2 = 0. Calculate x.\nAnswer: -71, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 13994*l + 112383. What is c(-8)?\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 117848162737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69832002 divided by -1754.\nAnswer: -39813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - 2*k**3 + 0*k**2)*(0 - k + 0) + 41 - 3 + 6*k**4 - 44.\nAnswer: 8*k**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q**7))**(-15)*(q**(1\/10)*q)\/(q*q\/q**(-5\/3)))**(-2\/145) assuming q is positive.\nAnswer: q**(-3523\/2175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1255.5 - 0.82189163.\nAnswer: 1254.67810837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 1. Let b = 12 - q. Let d = 5 + -5.3. What is the nearest to 0.1 in -5, b, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2668)\/(-120) - (-1)\/(-3)) + 8\/80. Solve -b*c = -16*c + 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 283 + -185. Let z = d + -85. Let w(h) = -z*h + 18*h - 6*h - 6. Calculate w(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + (-2 + 3 - (67 - 52))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 22083*h**2 - 620088*h - 4344732.\nAnswer: 3*(h - 7389)*(h + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/4*8\/6. Suppose -p = -7 + c. Suppose -15 = g - p*y, 7*g - 5*y = 2*g + 5. Solve s = 0, -n = -2*s + 3*s + g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/57))\/q)\/(q\/q**(1\/10)*q*q)*(q**(-7\/3)*q)\/(q**27\/q) assuming q is positive.\nAnswer: q**(-17213\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 1 - 220*o - 4 + 10 + 557*o in the form g*o + c and give g.\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 165*q - 5326. Determine s(27).\nAnswer: -871","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/646 and 133\/102.\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*r + 5 = 37*r. What is the least common multiple of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2124583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24.17 - 2.38. Let w = b - -26. Let i = 0.25 + w. What is the closest to -0.2 in 3, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 27*z + 161. Let r be i(6). Let b = r - 319. Solve -3 = -b*n + 5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 2.2, -22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 784.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/12*2*-6. Suppose 2*m = 5*m + 3*v + 30, v - 10 = 3*m. Sort -2, u, m.\nAnswer: m, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 45*h**2 - 78*h - 301. Calculate z(-47).\nAnswer: -1053","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232646 is divided by 2908.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -12*b**2 + 12*b - 6. Suppose -z = -0*z + 9. Let q be m(z). Let g = 4367\/4 + q. What is the common denominator of 25\/6 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/37 (b) -13 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 861 + 5509. List the prime factors of p.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (-22177)\/(-1340))\/11\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + -2*sqrt(200) + sqrt(200) + (sqrt(200) - (-2 + sqrt(200))) + 5)*-5 + 2)**2.\nAnswer: -44400*sqrt(2) + 66904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 a, and 1 v when three letters picked without replacement from {s: 8, a: 3, v: 2, p: 2}.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 + 1 + 4 - 5.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3986 - 2060. List the prime factors of q.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.027 - 0.327. Let v = 6 - 11. Which is the second smallest value? (a) v (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 0*v**2 + 2\/15*v**3 + 2*v + 1\/100*v**5 + 0 + 1\/15*v**4. Factor z(c).\nAnswer: c*(c + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/((v*v\/v**(2\/43))\/v*v)*v))**(-44) assuming v is positive.\nAnswer: v**(-1804\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjsjssxsjx. Give prob of sequence xxf.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 987\/(-3196) + 1008\/952.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 746796900 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6\/7))**(-43)*(((a\/(a\/(a*a**(-4\/5)*a))*a)\/a)\/a)\/(a\/a**5) assuming a is positive.\nAnswer: a**(1437\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2123600 to the nearest integer?\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3 = 22. Let x(u) be the second derivative of u**5\/10 - 3*u**4\/4 + 2*u**3\/3 - 7*u**2\/2 + 1990*u. What is the tens digit of x(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*w + 1691 = -20485. Calculate the smallest common multiple of 70 and w.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4775 and 93399?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -608.18 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(-400)*-6*(-195)\/(-624)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 0*a + d - 8, 5*a - 5*d + 20 = 0. Let o(t) = -t**2 - 4*t + 2. Let g be o(a). Solve 2*r - n + 1 = -g, 5*r = 5*n - 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11302020 - -11?\nAnswer: 11302031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -105.4 - 130414.\nAnswer: -130519.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 38 = -r - 0*b, 5*r = -5*b + 65. Calculate the remainder when (12 + -9 - 4) + 125 is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 11 + 1 = 0. Let x = 4 + h. Let i = 0.66 + -0.46. Sort x, 3, i.\nAnswer: i, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144674382 to the power of 1\/2, to the nearest integer?\nAnswer: 12028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 - -0.1. Suppose -3*l - 15 = -4*l. Suppose 0 = -3*o + 4*x - l, -2*o = o - 3*x + 12. Which is the nearest to o? (a) -0.4 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8886 is divided by (1*(-1)\/7)\/(68\/(-48076))?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/5 - (-11)\/5. Suppose -5*r + 30 = 5*s, 2 = 3*r - 4*s - v. What is the third derivative of 3*u**r - 20*u**4 - 63*u**2 + 50*u**2 wrt u?\nAnswer: -408*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -538167438892 - -1.\nAnswer: -538167438891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*w + 68 = -3*b, 2*b + 5*w = 70. Let 53*o + b*o**2 + 71*o + 0*o**2 + 2*o**2 + 4*o**3 + 8*o**2 + 120 = 0. What is o?\nAnswer: -5, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**4\/12 + 3*o**3\/2 + 16*o**2. Let s(f) = -f + 5. Give -3*d(k) + 5*s(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-43)\/((u*u*(u**(-22)*u)\/u)\/u)*(u**(1\/9)\/u)\/u*(u**1*u)\/u*u assuming u is positive.\nAnswer: u**(-197\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81028677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**2 + 15820*g - 62568100 = 0?\nAnswer: 7910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 78202355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-17)\/((-119)\/(-77)). Solve 0 = -2*f + 3*x + 13, -u*x + 7*x - 5 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1989283*v + 1989292*v - 3978575*v + 7*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 20646343*m**2 - 20646343*m**2.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(3*-2) + (-35528)\/(-24). Let t = -9013\/6 + u. What is the common denominator of -53\/6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.01 - 3. Let y = -99.01 - -104. Let q = s + y. Which is the closest to 1? (a) q (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 + 5)*(-2 + 1 + 0) - 74 - 64 - 9)*(-20*h**3 + 5*h**3 - 2*h**3).\nAnswer: 2652*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1625\/1058 or -3?\nAnswer: -1625\/1058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -28*f. Let y(m) be the second derivative of 0*m**2 + 12*m + 0 - 1\/12*m**4 + 0*m**3. Give u(y(v)).\nAnswer: 28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/2, -0.1467, 0.3, -2\/7, 0.15?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + sqrt(180)*-2)\/sqrt(6))\/(-1*sqrt(48)\/sqrt(8) - sqrt(6)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, k: 2, d: 3, n: 2, t: 4}. Give prob of sequence knt.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 44 = -t. Let v(c) = -2*c + c**2 + 20 + c - t. Determine v(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/9))**31*y**(1\/10)*y\/y**12*y assuming y is positive.\nAnswer: y**(2519\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223618*n**2 + 4*n - 4*n - 223643*n**2 + 0*n.\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nne when three letters picked without replacement from enennenehen?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505*h + 11556 = 285*h - 148*h for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4020 at most 67943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21855, -17916, -13977, -10038, -6099?\nAnswer: -2160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxbxbbxxxxxxxxxxbxbx. What is prob of picking 3 b?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11709002 to the nearest integer?\nAnswer: 3422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -8 - y**3 - 4*y**5 + 2*y**3 + 4 + 7*y**2 + 3*y**5 - 3*y**4 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6510 + 3026*y**2 - 6012*y**2 + 2985*y**2.\nAnswer: -y**2 + 6510","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/8 of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 31361341 (base 8) to base 10\nAnswer: 6677217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by (324\/180)\/((-1)\/(-15))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14243, -28488, -42731, -56972, -71211, -85448, -99683?\n\"Answer: q**2 - 14248*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 22*t - 86. Let g(h) = -2*h + 1. Determine 12*g(k) + q(k).\nAnswer: -2*k - 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 18. Let x be -8*(-2 + r)\/20. Solve 0 = 3*y + 2*o - 12, -x*o + 6 + 0 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 1:40 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*c + 649834 + 472460 - 386340. What are the prime factors of c?\nAnswer: 3, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 47414 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 8*c**2 - c - 1. Let p(j) = -j**3 - 7*j**2 + 1. Let v(h) = -2*l(h) - 3*p(h). Let d = -19 - -15. Give v(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 65*p - 4491. What is h(69)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 16. Suppose 53 = 4*r + k, -k - 10 - 21 = -q*r. Let m be -111*(0 - (-4)\/r). What is m rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 14 = -16*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2870365 to the power of 1\/2, to the nearest integer?\nAnswer: 1694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 z when four letters picked without replacement from {a: 3, r: 1, z: 5, m: 4}.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00888925 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -24*w. Let a(x) = x - 2. Let t = 495 - 493. Let g(f) = 20*f - 30. Let v(m) = t*g(m) - 30*a(m). What is v(o(y))?\nAnswer: -240*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -103020555*a*m**4*y + 63*a*m**2*y + 50*a*m*y + 12*a*m + a + 41*y wrt m?\nAnswer: -2472493320*a*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 23*(((-5)\/3)\/((-695)\/(-2502)) - -7)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**2 - 24112*q + 48208 = 0. What is q?\nAnswer: 2, 6026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 30985201.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138 + 429 - 283*i + 82*i - 147 - 144 + 150*i.\nAnswer: -51*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f**2 + 3*f**2 + 9*f**2 + 29*f**2 - 10*f**2.\nAnswer: 46*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 5 (c) -27\/5 (d) 2\/7023\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.6 plus 0.0246?\nAnswer: -22.5754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*((-852)\/(-355))\/((-4)\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 3*z + 4*h, -5*z + 11*h - 241 + 301 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1231232 - 210?\nAnswer: 1231022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*f = -4, 30 = 5*i + 5*f. Let p(l) = -l**3 - 5*l**2 + 12*l + 20. Let n be p(-6). Which is smaller: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61628843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d**3 + d**2 - 4*d. Let w(s) = 13*s**3 - 2*s**2 + 7*s. Suppose n = -3*n + 28. Give n*k(q) + 4*w(q).\nAnswer: 3*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*a - 23 = 242, -2*r + 106 = 4*a. Suppose -j = -t, -13 = 3*j + 5*t - r. Solve 3 = 5*v - j*d - 22, v + d + 3 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 822914 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051910753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 12*h**2. Let x be i(12). Which is the nearest to 1? (a) -0.2 (b) x (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -47. Suppose -m = 2*q + 62. Let g = -29 - q. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -313, -567, -989, -1579?\nAnswer: -2337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-14)\/(-70) + 98\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 15285595.77 and -0.03.\nAnswer: 15285595.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25017 and 371310653?\nAnswer: 8339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383830?\nAnswer: 2, 5, 131, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z + 36. List the prime factors of o(-32).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 6 + (-8)\/2. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -145 - -147. Suppose 0 = -b*m + 4*n + 246, -3*m = -6*m - n + 369. What are the prime factors of m?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, 0, 1, -0.2, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from {f: 4, m: 4, n: 2, a: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/21)*(n*(n*n\/(n\/n**5))\/n*n)\/n*n**(-8)\/n**9)**(-28) assuming n is positive.\nAnswer: n**(932\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.17 times -5.066415\nAnswer: 0.86129055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8888 and -109.31.\nAnswer: 971547.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 2*b - 3*b)*(-4*b**2 + 0*b**2 + 3*b**2) + 2*b**3 - 2*b**3 - 2*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 10*n**2 - 3*n + 9. Let s(a) = -2*a**3 - 7*a**2 - 6*a - 18. Let q be s(-3). Calculate i(q).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**3 + y**2 + 22*y + 45. Let x be q(0). Suppose 1 = z - 3, 4*b - 2*z = 12. What is the highest common factor of b and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9904160 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*(4 + sqrt(75) + 0 - (-5*sqrt(675))\/sqrt(9)).\nAnswer: 48 + 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -44*a**2 + 4804*a - 23695. Calculate k(104).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen quarters of a millennium?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3203, -3, -1, -2, 4, -4 in decreasing order.\nAnswer: 8, 4, -1, -2, -3, -4, -3203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 30889\nAnswer: -2\/30889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55405763.\nAnswer: 7, 7915109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve -422*h + 95 = -495 - 254 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -610628940 divided by -3?\nAnswer: 203542980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1*-65.36\nAnswer: -65.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1046792624 and 496?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 3:32 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -3*w**4\/4 - 31*w**3\/3 - 4*w**2 + 2. What is the first derivative of i(r) wrt r?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6550125.\nAnswer: 3, 5, 17467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 - 1900 + 1900.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2777\/12, 0.2, 5, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 458 divide 3881550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-30)*4\/((-32)\/(-24)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-3*(sqrt(68)*-2 - sqrt(68)) + 3 + (-1 + (-1*sqrt(68) - sqrt(68)) - (sqrt(68) + -1 + sqrt(68) + -1)))**2)*4 + 4.\nAnswer: 320*sqrt(17) + 6856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(128) - sqrt(200)*-2)\/((sqrt(4) - (sqrt(4) - (sqrt(4) - sqrt(32)\/(-5*sqrt(8)))))*-4))**2*5.\nAnswer: 125\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -15354*x**3 + 9*x**2 + 10*x + 2. Let h be y(-7). Let g = h - 2466378. Suppose -4899583 - g = w. What is w rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-34)\/(-4) + -1 + -2. Let a = r - 6. Put 5, 1\/5, a in descending order.\nAnswer: 5, 1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -477363375 and -477363375 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven eighths of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1779*l**2 + 316*l**2 - 4564*l**3 - 4578*l**2 - 1399*l**2 wrt l.\nAnswer: -27384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17 + 2)*(-8)\/20. What is the least common multiple of 9 and (-12)\/(-8)*8\/c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**4\/12 + 2*i - 2. Let y(c) be the first derivative of t(c). Let l(q) = q. What is y(l(h))?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.08\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 3*g**5\/20 - 16*g**3\/3 - 3*g**2\/2 - 34. Let d(u) be the second derivative of l(u). What is the derivative of d(i) wrt i?\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k + 2. Let y be d(2). Let v be -2 + 1 + y\/14. Let z = 199 - 198.9. What is the closest to z in -1\/3, -1\/4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 0, -579*l - 5*c - 40 = -574*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + (29 - 24) + -47?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gff when three letters picked without replacement from fxfxfgfgfg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d - 2. Let z be (-35)\/3 - (-4)\/6. Suppose -1620 = 5*i - 1650. Let o(r) = -9*r - 4. Determine i*o(b) + z*l(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1344 and 1152.\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/3)\/((-6)\/36). Suppose -2*t + w*t + 26 = 0. Does 18 divide (-713)\/t + (-4)\/(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*k**2 - 143*k**2 - 7*k**3 - 139*k**2 + 420*k**2.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-160)\/(-88) - (-4)\/22. Let u(i) = -y*i**2 + i**2 + 3*i**2 + i**2. Let s(l) = 218 - 218 - 2*l**2. Determine s(u(a)).\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*n = -160 - 120 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71043 is divided by 17730.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**5\/20 + 4*j**4\/3 - 5*j**3\/2 - j**2\/2 + 33*j. Let y be z(15). Let h be 21\/(-28) - y\/(-4). Sort 1, -4, h.\nAnswer: -4, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 123\/(-21) - (-2 + (-15)\/(-7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-102)\/(-68)*34\/3. Solve 12*d + 10*d = f*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*c**2 + 486*c - 2648 wrt c?\nAnswer: -14*c + 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i + 10 = -l, 2*l + 10 = 0. Let a be (56\/(-12))\/i*3. Let s be 148\/(-28) - 4\/a. Which is bigger: s or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4 - 0. Suppose -2*x - 50 = -7*x. Suppose t - 4*s = -5 - 2, -4*s + x = -2*t. Sort j, t, 0 in ascending order.\nAnswer: t, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.411 + 0.011. Put i, 0.4, -6\/13 in ascending order.\nAnswer: -6\/13, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4 + 1. Let z be 4 + 48\/(-28) - (-4)\/56*-4. Solve -x*t + 15 = -2*h, -z*t = h - 3 - 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + 0.42. Let t = 7 + -2. What is the nearest to -1\/4 in t, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**4 + 4*i**3 - 10*i**2 - 7 + 8*i - 4\/5*i**5. Find a, given that m(a) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -0.5, 0.2, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o - 4*k = -10*o, 12 = -4*k. Solve -5*v = -4*u - 3 - 1, -3 = 3*u + o*v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -942 in ascending order.\nAnswer: -942, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*i - 0. Suppose -5*z = i*d + 35 + 20, -5*z = -3*d + 30. Let q = 16 + z. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2 - 27186*m + 54396*m - 27209*m. Let o(w) = -w + 3*w + 6 + 0*w. Let r = -10 + 7. Give r*o(l) + 8*h(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/36 and -41\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7821, 30891, 69337, 123159, 192357?\nAnswer: 276931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 0.3, 2\/7, -32.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11770.5 rounded to the nearest 100?\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1106 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 + 29. Let q(s) = s**3 + 9*s**2 + 7*s + 3. Determine q(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shbsrnrny. Give prob of picking 1 n and 1 b.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 1 - 2 + 38*n - 35*n + 0. Let y(k) = -2*k. What is y(o(m))?\nAnswer: -6*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(384) + -4*(sqrt(384) + -2*sqrt(384))))\/((sqrt(32)\/(sqrt(6)\/sqrt(3)))\/(sqrt(512)\/sqrt(4))).\nAnswer: 160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37512430?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**5\/20 + 2*s**4\/3 + 3*s**3\/2 + 2*s**2 - 3763*s. What is a(-5)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 28. What is the nearest to 0.2 in h, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4046.451 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 10 = -3*c, 0 = -4*c - 3*u - u + 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 68 = -0*u. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1328, -2667, -4018, -5381?\n\"Answer: -6*x**2 - 1321*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15212500 rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -100*m + 6875. Is 55 a factor of q(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3*g, g - 2 = h - 2*h. Suppose -s + 160 = h*s. Suppose -b = 4*b - s. Solve 3*m + b = 5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/370732 and -58\/5.\nAnswer: 1853660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -76205424 divided by 816?\nAnswer: -93389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147 and 539?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) 3 (c) -4 (d) 0.099 (e) 684 (f) 57 (g) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-6)*w*w*(w*w*(w\/(w*w**(-2\/13)\/w))\/w)\/w)**(-8) assuming w is positive.\nAnswer: w**(192\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 151, 226, 301?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -698\/7 - -100. Let z = 639094\/5 - 128272. Let w = z + 458. Find the common denominator of w and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 39 = 7*w. Let o(i) = -i + 5 + w + 8*i - 6. List the prime factors of o(14).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**3 - 11*d**2 + 19*d - 2. Calculate h(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -310478\/3 - -105126. Let m = 1660 - u. Let s = m - 26. What is the smallest value in -4, -2\/11, 0.3, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.1 (c) -747\/5 (d) 6\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -12. Let c = u + 9. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = n - 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxah when four letters picked without replacement from xhhhxahhhxcaaa?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(63) + 1)*-1 - (sqrt(63) + sqrt(1575)*3))*1.\nAnswer: -204*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -3. Suppose -345 = 4*r - n*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8221862 is divided by 226.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.3 + 2.311. Let z = f + 0.089. What is the nearest to 0.1 in -5, z, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 768?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (364 - 365 - 47*p + 111*p + 661*p)*(1 - 4 + 1) to the form o*p + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 33?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 9:56 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28001 + 28000.6. Let p = -8 - -5. What is the closest to 1\/4 in 2, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -112, -290, -614, -1132, -1892, -2942, -4330?\nAnswer: -6104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -226.5, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qn when two letters picked without replacement from nnzllqnnnqnccncccz?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*a - 165*a - 400 = 0. What is the greatest common divisor of a and 5400?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 922 + 1146. Let k = o - 38. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 9. Let d be f(4). Suppose -3*k = 4*g + 26, 16 + 15 = -3*k - d*g. Let y = k + 10. What is the smallest common multiple of y and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*u = -0*p + 926, -3*u = 2*p - 460. Find the third derivative of 8*w**2 - 233 + p + 11*w**5 - 2*w**2 wrt w.\nAnswer: 660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27)\/5 - (54\/(-10) - -4). Put -2\/15, 5\/7, r in descending order.\nAnswer: 5\/7, -2\/15, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7495 rounded to two dps?\nAnswer: -3.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2120 divided by 4353\nAnswer: 2120\/4353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008229 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-143*l + 253*l + 4121 - 112*l)*(3*l - 3*l - 4*l) to t + b*l + d*l**2 and give b.\nAnswer: -16484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 302563, 605147, 907731?\n\"Answer: 302584*l - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*q + 12*q + 2*q)*(-215*q + 798*q**2 - 794*q**2 - 207*q).\nAnswer: -116*q**3 + 12238*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 192028 bigger than 1920269\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 385, 3333, 11431, 27253, 53373, 92365?\nAnswer: 146803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 5) + 4 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (h + 9*h - 4*h)*(80*h - 49*h + 88*h) + 25*h - 44*h + 19*h - 32*h**2 as i + o*h + t*h**2 and give t.\nAnswer: 682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -1099 + 0*n**2 + 2*n**2 - 1105 + 2195. Let j(d) = -7*d**2. What is h(j(z))?\nAnswer: 98*z**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.26, -3, 0.123, 4, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3300*s - 193021 + 193021 as m + k*s and give k.\nAnswer: -3300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppgggbbpbbp. Give prob of sequence gbbg.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 8. Let j = -12 - -15. Suppose 4*g - j*g - 5 = 0. Sort w, g, -1 in increasing order.\nAnswer: -1, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -278.821 - -0.821. Let n = 281 + o. Which is the smallest value? (a) 1\/2 (b) -28 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, 4\/3, -0.1, -710 in decreasing order.\nAnswer: 4\/3, 0.1, 0, -0.1, -710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 19. Suppose 5*n - 32 = -q*n. Solve -2*w - 2 + n = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*f**4 + 2965*f**2 - 5*f - 1 - 2965*f**2 + 3*f in the form c*f**3 + z*f**2 + d + l*f**4 + q*f and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*(s\/(s**1\/s))\/s*s**6*s)\/((s\/(s\/(s\/s**(2\/13))))\/(s\/s**0)))**49)**14 assuming s is positive.\nAnswer: s**(81634\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6e346a (base 16) to base 9.\nAnswer: -14527214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1192 + -1101. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*s - 4*s + 2*s)*(-1 + 2 - 2) + 3*s + 4*s - 4*s)*(-389*s**3 + 7 - 13 + 5).\nAnswer: -3501*s**4 - 9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -69, -214, -387, -588?\n\"Answer: -14*c**2 - 103*c + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1946 by -2.\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-10)*(-30)\/(-60)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*p**2 + 35*p**2 - 69*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19e + -6?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -19. Suppose -m + 73 = 3*g, 0 = y*g - 5*m - 83 - 27. Let h = 110 + g. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2 = -a + 3*a, -5*p + 5*a + 20 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 10*m - 70. Let q be l(6). Put -5, q, 5 in descending order.\nAnswer: 5, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3400) - -5*(sqrt(3400) - sqrt(3400)*1 - sqrt(3400)) - sqrt(3400))\/(sqrt(14)\/(sqrt(700)*2 + sqrt(7) - sqrt(7))).\nAnswer: -1000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 43*d - 1037. What is s(60)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 7 = -2*b, 4*f - 20 = -3*b - 18 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*(81 + -81)*1\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/137 and 47\/4.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*k - 39*k = 156. Suppose 0*h + 2 = h. Suppose -b + 180 = h*b. Calculate the greatest common divisor of b and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*j = -89*j + 704 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 56\/2940*3*10\/(-8). What is the closest to c in 1, 5, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*r**4 - r**5 - 778 + 778 - 5*r**3 = 0. Calculate r.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhhuedheuuap. Give prob of picking 1 d and 1 h.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2532772 divided by 5.\nAnswer: -2532772\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 646*x - 40022. Give n(-57).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -299 + 302 + -1 + 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-4) + 2\/(-4). Let p be (m\/(-6))\/(10\/4). Let g = -22 - -22. Is g < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7 and -209.7.\nAnswer: -216.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -29510888 divided by 4873\nAnswer: -6056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 9*u**2 - u. Let b be m(1). Let p = b + 3. Calculate the remainder when 30 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -16*f - 19*f + 34*f + 1. Calculate t(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*r + 17, 564*r - 561*r + 11 = u. Which is the closest to 88\/9? (a) u (b) 1 (c) 5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -419 + 424. Which is the closest to 0.25? (a) 4 (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0896701 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330250 and 40.\nAnswer: 1321000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/40 of a hour?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14, 1\/3, 1970, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 782510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-5)\/((-15)\/9). Suppose -41*r + 43*r - 252 = 0. Suppose -u*b + 2*b = -r. Does 21 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 973, 612, -3, -884, -2043, -3492, -5243?\nAnswer: -7308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82 + -80. Differentiate 21 - 15*a + 9 - c + 2*a wrt a.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**12\/j)\/j*j*j**(-9)*j assuming j is positive.\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 449 + 71 - 918 - 180*c - 1146 - 486*c wrt c?\nAnswer: -666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 4:19 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05176*1.513.\nAnswer: -0.07831288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*(sqrt(143) + (-1*sqrt(143) + sqrt(143) - sqrt(143) - sqrt(143) - sqrt(143))*-1)\/(sqrt(11) + sqrt(55)\/sqrt(45)).\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v**2. Let b be 117\/45 + 4\/10. Let n(x) be the third derivative of 0*x**3 + 1\/30*x**5 + 0*x + 0 + b*x**2 + 0*x**4. Determine n(q(a)).\nAnswer: 50*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2194 divided by 38?\nAnswer: -1097\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -320*z + 333*z - 65. Let x(g) = -g**2 + g - 3. Let k be x(0). Put 3, k, 2, z in decreasing order.\nAnswer: z, 3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/11)\/t)**16*t**(-8\/9)*(t*t**(-4))\/t assuming t is positive.\nAnswer: t**(-1780\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*x - 5*k, -4*x - 2*k = -5*k + 18. Let t = 3 - x. Suppose 10*c - 386 + 26 = 0. Calculate the highest common factor of t and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6386141 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 264? (a) 1\/2 (b) 0.09 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -691, -1855, -3495, -5617, -8227, -11331, -14935?\nAnswer: -19045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0285 * -1.99\nAnswer: -0.056715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5533, -22428, -50851, -91018, -143145, -207448?\n\"Answer: -36*i**3 - 5548*i**2 + i + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -67.\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c + p - 603, 2*c + 5*p = 389. Does 19 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -800*n**2 + 0*n**3 + n**3 + n**3 + 1770*n**2 - 3.\nAnswer: 2*n**3 + 970*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = w + 108. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -33*x + 721. Calculate b(21).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*x - 60*x + 450 = 2*o, o - 225 = -3*x. Calculate the remainder when o is divided by 73.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6*u**3 - 9*u**2 + 9*u. Suppose -268*x + 1312 = 60*x. Let a(w) = -3*w**3 - 4*w**2 + 4*w. Calculate x*r(y) - 9*a(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 4 = -4. Let a(r) = r**3 - r. Let d(j) = -14*j**3 - j**2 + 3*j + 1. Let k(h) = c*d(h) + 4*a(h). Give k(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*y**4 + 6*y**4 - 12*y**4 + 6*y**3 - 4 + 4 + 11 with respect to y.\nAnswer: -64*y**3 + 18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1578.00000649 + 1578. Round o to seven decimal places.\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18463+311092\nAnswer: 329555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 2. Suppose 20*u - 8*u = -4*x + 61 + 71, 2*x = 5*u. Let z = 0.1 + -0.2. Sort z, u, b in increasing order.\nAnswer: z, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, -1\/3, 0.0574049, -5?\nAnswer: 0.0574049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1794552 by -1794552.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from heleeelpepqeqhpqeeee. Give prob of sequence lllq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 30 = 3*j, 16 = 99*j - 97*j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1407 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21791057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -577520 to the nearest 10000.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j\/(j\/((j**(-1\/4)*j)\/j))*j))\/j*j*j)\/j**0)\/(j*j*j**5*j**2) assuming j is positive.\nAnswer: j**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -455343 * 0.6.\nAnswer: -273205.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**2)\/(r**(-1\/6)*r))\/(r**4\/r**6) assuming r is positive.\nAnswer: r**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(6 - 180\/27) - 24\/15)\/1?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 617359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -33*d + 237. Determine y(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6977*k*x - 27546608*k - 696*x - 5 wrt x.\nAnswer: -6977*k - 696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -1, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 - 6*n**2 - 6. Let k be v(3). Let g be 1\/(-3) + 1 - 0\/k. What is the fourth biggest value in g, -0.5, -3, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 1544*d**3\/3 - 1159*d**2\/2 + 240. What is the second derivative of v(a) wrt a?\nAnswer: 3088","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1313822256 by -173832.\nAnswer: -7558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*f + 43*f + 43*f + 33*f + 33*f - 221*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11181.\nAnswer: 3, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*j - 107*j + 6 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * -0.15615205.\nAnswer: -0.012492164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/(-87)*(-6)\/68.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 503*r**3\/3 + 222*r**2 + 312. What is the second derivative of c(l) wrt l?\nAnswer: 1006","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30, 61, 92?\n\"Answer: 31*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 19 * -370\nAnswer: -7030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-4)*(-7888 - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l + 1253 - 1145 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/19, -2\/1009, -1, 22\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (186 + -209 + (-52 - 3) + 19)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -37.01?\nAnswer: 111.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 3*h + 1. Let b be f(-7). Let u = -29 - b. Sort -5, -3, u.\nAnswer: -5, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*t = 11*t + 18389. What is the greatest common divisor of t and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56026232 and 5356.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f + 0*f - 5*f - f - 3*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4447962158 less than 153?\nAnswer: 4447962311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9063 and 5625729.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.11 - -0.21. Let t = 5.9 + o. Let f = t - 5. What is the third smallest value in -1, -0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15191 or -15190?\nAnswer: -15190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in 0.1, 1\/2, -4, 175947?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28112544?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -25 (b) -5 (c) 21 (d) -54 (e) 0 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + d + 3, -6*d + 1 = y - d. Let l(k) = k**2 + 3*k - 2. Calculate l(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 591131 = 590871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 0*2\/(-2). Is t > -6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3237)\/(-2158)*(-2 - 33\/(-9))*(-8)\/(-450)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zglzzbzglaqaaba?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**5 + 1182645*o**4 - 17739231*o**3 + 91060695*o**2 - 195129378*o + 149007600 = 0. What is o?\nAnswer: 2, 3, 7, 394200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**4\/24 - k**3\/2 + 36*k**2 - 5*k. Calculate d(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15084096, -30168207, -45252318, -60336429, -75420540, -90504651?\n\"Answer: -15084111*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(-2 + 2*y + 2)*(815*y + 197*y + 203*y + 139*y).\nAnswer: 2708*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -820004 - 28?\nAnswer: -820033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 14) to base 12.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**2 + 19*b + 34. Let l(i) = -i**2 + 8*i + 4. Calculate the remainder when l(4) is divided by d(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1735 + -1699. What is the highest common factor of g and 4716?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-4 - (-5 - 1))\/6. What is the fourth biggest value in 2, -5, 15, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 557550?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 210.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26227.85 and 4.\nAnswer: 26231.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1715441?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 686*f**2 - 7*f - 2. Let s(x) = -1374*x**2 + 18*x + 5. What is 5*m(d) + 2*s(d)?\nAnswer: 682*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7\/18 + 5\/18. Are -21 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -457, -458, -459, -460, -461?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 + 10*h - 4. Let k be q(4). Put 1, 2, k, -5 in decreasing order.\nAnswer: k, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 9) to base 11.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(-1)*y)*y*y*y\/y**(4\/3)*(y**(-3\/10)\/y)\/y*y**(-1\/7)*y assuming y is positive.\nAnswer: y**(257\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1429, 1713, 1997, 2281, 2565, 2849?\nAnswer: 3133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**3 - 58*z**2 + 24*z - 41. Let i be m(-15). What is the highest common divisor of 133 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1 = 1. Let q be (-10)\/(-4) - (-3)\/(-6). Suppose v = -t + 5*z + 34, 3*t + q*z = 4*z + 76. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times -4\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxgggxbbxbbggggbbbxb. Give prob of picking 4 g.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -467 + 0?\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 916 is divided by 226.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - s**2 + 5. Let q be x(0). Calculate the remainder when ((-52)\/q)\/((-10)\/25) is divided by (-42)\/9*(-2 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppppppppbpppxpp. What is prob of sequence bp?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - (-250)\/(-15))*-1?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -10*n**3 + 2*n**2 - 12*n - 28. Calculate t(-3).\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (128\/7296)\/(18\/27)?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 30281635?\nAnswer: 30281635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**3 - 6*q**2 + 3*q + 3. Let f be y(4). Suppose 538 = 12*h - 7*h - 3*n, -3*h + 310 = -5*n. Which is greater: h or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 10, -22 in decreasing order.\nAnswer: 10, -2, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -18*l**2. Let q(u) = -3*u**2 + 82. What is q(p(i))?\nAnswer: -972*i**4 + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2 + 29*v - 24. Let z be p(7). Suppose 0 = -8*y + z*y. Which is the closest to -2\/5? (a) 8 (b) y (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3362298118.\nAnswer: 2, 67, 2347, 10691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -21002122111 (base 3) to base 14\nAnswer: -38cb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1501 - -1?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 19*q**4\/4 + 10*q + 15. Find the first derivative of v(i) wrt i.\nAnswer: 57*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**7\/420 - 7*m**5\/120 + 13*m**4\/12 + 6*m. Let r(z) be the third derivative of p(z). Differentiate r(h) with respect to h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 10*z**2 + 10*z + 466. What is the lowest common multiple of u(-12) and 667?\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-437.3\nAnswer: 437.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 4:19 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**3 - 2*m - 1. Let z(d) = -10*d**3 + 5*d + 3. Let p(c) = -5*t(c) - 2*z(c). Let f be p(-1). Solve -f = 2*y - 4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15b + 67?\nAnswer: 1c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 3. Let r be g - (-8)\/(1 - -1). Suppose i - 103 = -t - 4*t, 0 = -r*t - 2*i + 38. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/9 (b) -0.4 (c) 3452 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -485.737 plus 33?\nAnswer: -452.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -14382754.\nAnswer: 3\/14382754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.6, -3\/7.\nAnswer: -3\/7, 0.6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192 - (-241)\/(13496\/(-4928)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -662*i + 534. Let f be o(-14). What is the highest common divisor of 26 and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 8 (b) 233 (c) -2\/11 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -81.23 * 1\nAnswer: -81.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**6\/1440 + u**5\/160 + u**4\/24 - 4*u**3 - 7. Let y(g) be the third derivative of r(g). Determine n, given that y(n) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1369610 and -5?\nAnswer: -6848050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**3\/5 - 12*y**2\/5 + 3*y\/5 + 18\/5 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16686053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*d**4 - 17*d**4 - 25*d**4 - 4*d**2 + 4*d**2 + d**4 + (-5*d**2 + 4*d**4 + 5*d**2)*(0 - 3 + 2).\nAnswer: -30*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i - 2*i)*(0*i**2 + 0*i**2 + i**2) - 5*i**3 + 8 - 8 + (-3*i**2 + 0*i**2 + 4*i**2)*(-3*i + i + i).\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 7*w**3 + w**2 - 2*w + 5930. Let d(i) = -21*i**2 - 3*i + 2. Calculate 2*d(p) + 3*g(p).\nAnswer: 21*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 30*w + 27*w + 35*w - 83*w + 2.\nAnswer: 9*w - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-84))\/(120\/(-252)*8\/5).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5426700 to the nearest ten thousand.\nAnswer: -5430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 8:52 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -110011101101110101?\nAnswer: 110011101101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5395832 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 44 = 12*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21320 (base 4) to base 10.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 144 + 6*d**2 - 7*d**2 - 6*d**4 - 143 - 17*d**3 to f*d**4 + g*d + n*d**3 + y*d**2 + q and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -18. Let k be 4\/(-14) + (-52)\/14. Which is the closest to 0.1? (a) 0.1 (b) f (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21203223 (base 4) to base 11\nAnswer: 27459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 243 and 2124414?\nAnswer: 19119726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001515469262 to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l**2\/3 + 126032*l\/3 - 50416\/3 = 0. Calculate l.\nAnswer: -6302, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47366*u**2*v**3 + 5792*u**2*v**2 + 2*v**2 - 7 wrt v?\nAnswer: 284196*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.607 and -24945?\nAnswer: 24944.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 191380158 - 191378062.02202. Let o = m + -2096. Round o to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 658237 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**28*r**(-19\/4) assuming r is positive.\nAnswer: r**(93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*h**3*u**3 - 59*h**3 + 75*h**2*u**3 - 30*h**2*u**2 - 541*h*u**2 - 2*h - 27*u**3 wrt u?\nAnswer: 192*h**3 + 450*h**2 - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 204\/66 + 23868\/(-1188) - 104?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 15*k + 45. What is the second biggest value in 1, -4\/35, k?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 28 = -4*x, 5*a - 32 = -x - 2*x. Suppose -2*r + 7*g + 1271 = 10*g, 4*r - 2536 = -x*g. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-16)\/(-4) - 3)\/((-1)\/(-8147)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -3*m + 11. Let t = 25 - 15. What is the remainder when m is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -96, 0, 13 in increasing order.\nAnswer: -96, -5, 0, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 37\/888*(-8)\/(-6)*4\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 783*z. Let g(a) = 35*a - 15. Calculate y(g(o)).\nAnswer: 27405*o - 11745","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 246521.15 rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 10*m + 5. Let f be l(9). Let o be (-2)\/f*(-6)\/(-9). Let s be (-8)\/(-1)*(-114)\/(-456) - (-8)\/(-3). What is the smallest value in s, 1\/2, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627 is divided by 271?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1, -3, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 218503 + -79656. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - -3 - 3 - -4. Which is greater: 9 or f?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-27)*p)\/(p**(-23)*p) assuming p is positive.\nAnswer: p**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 1:16 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*u + 605*u + 14122 = -477*u - 15158 for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24352 and 544.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 384395867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/16 and 95\/140212256.\nAnswer: 140212256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.54026ug to kilograms.\nAnswer: 0.00000000254026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g - 10. Let n be x(3). Let v be (4\/(-44))\/(n\/(-26)). Let m = v - -24\/11. What is the biggest value in 0.1, 8, m?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5079752 (b) 0.1 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12005\/9 - -8053\/6. Find the common denominator of v and 103\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -141*s**2*x**2 - 5*s**2*x + 21*s*x wrt x.\nAnswer: -282*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 44 = 11*c. Suppose -4983 = 4*v + s - 21152, c*v - 2*s = 16178. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -299 - -313. What is the least common multiple of 22 and n?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 + 3*x**3 - 4*x**3)*(5*x + 9*x - 2*x)*(3*x - 4*x + 2*x).\nAnswer: -12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 13*p + 148 - 673 = 0. Let q be 182\/6 - (-3)\/(-9). What is the highest common divisor of p and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/12)\/(9\/(-78))*((-132741)\/(-294))\/301.\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 521079647 to the nearest integer?\nAnswer: 22827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*h = -2, s + 4*h = -2*s - 6. Let w be (-187)\/4 - s\/8. Let o be w\/(-7) - 10\/(-35). Solve i - o = -2*l, -3*l + 3*i - 5*i + 11 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/60 and -9\/236?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 10:35 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -724*f**5\/15 - 101*f**2 - f - 7. Let v(k) = -k**2. Determine v(j(s)).\nAnswer: -8386816*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299*q - 662*q + 9*q.\nAnswer: -952*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -70*q + 1. Let p be x(-1). Suppose p = 5*u - 44. Calculate the remainder when 67 is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.9456 in 0.4, -7\/3, -2, 0.2, -0.1?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.65908 weeks in hours?\nAnswer: 13886.72544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34945732579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -15\/64777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 9 = p. Suppose 5*u = p*u - 44. What are the prime factors of u\/33*(0 + 48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aivi when four letters picked without replacement from {a: 1, z: 1, v: 2, o: 1, u: 1, i: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28556914 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 2*y - 24 + 190)*(y + 3*y - 3*y).\nAnswer: y**2 + 166*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 4 - 7 - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 15*h - 20*h - 4*h + h**2 - 6. Calculate c(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8244, -16419, -24592, -32763, -40932, -49099, -57264?\nAnswer: -65427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/((-3)\/12) - -67 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - -5 - 2*-1. Let p be (y\/(-15))\/((-4)\/6). List the prime factors of ((-9)\/(-15) - p)*-5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*(-4 + sqrt(396)*2).\nAnswer: -12*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 139*z**2 - 1291*z - 33. Determine q(10).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 1. Let p be o(-8). Suppose 6*d = 7*d - p. Suppose 0 = -4*g + d*g - 24. Put 2, -3, g in descending order.\nAnswer: g, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_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 v = -90 + 136. Let l = 46.105 - v. What is l rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19244, -19237, -19230?\n\"Answer: 7*z - 19251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/1677 (b) 0 (c) -0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -543, -1083, -1639, -2205, -2775, -3343, -3903, -4449?\n\"Answer: q**3 - 14*q**2 - 505*q - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1353254, 1353260, 1353266?\nAnswer: 1353272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2505444 - -3943444. Round x to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(243\/(-6) + -4). Let s(c) = -c**2 + c + 19. Let z be s(0). Let g = z - y. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 88 in -6, 0.1153, 1, 0, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2*p + 17834*a**2 + 90*a*p wrt p.\nAnswer: a**2 + 90*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**3\/6 - y**2\/2 + 3*y - 37. Suppose 2*p + 2*p + 28 = 0. Determine d(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 2*f - 4*f)*((3 + f - 3)*(13 + 2 - 33) + (-5 + 5 + 2)*(4 - 4 - 2*f) + 3*f - 14*f - f).\nAnswer: 68*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, u: 3}. Give prob of picking 1 r and 1 u.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.053895 + -0.3.\nAnswer: -0.353895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nineteen quarters of a minute?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1090109318?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -34074*b + 545177. What is h(16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7872155?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o**2 - 2*o - 15. Let r(i) = -27*i**2 - 10*i - 65. Determine 2*r(n) - 11*y(n).\nAnswer: n**2 + 2*n + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3293*t - 85625. Calculate j(26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -7 - 1 - (-18 + (27 - 4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**5\/60 + q**4\/4 + q**3\/2 - 4*q**2. Let i be b(6). Solve 0 = 5*n - i + 28 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 10*v + 2. Let r be m(6). Calculate the greatest common divisor of 14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.895 in 2, 195, -0.3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 k when two letters picked without replacement from kakk?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1257*a**3*y + 6*a**2*y + 75*a wrt a.\nAnswer: 7542*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 35 = -6*o + o, 0 = 3*k - 2*o - 4. List the prime factors of (-5 - -9) + 510 + (-2)\/k.\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((20\/2)\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 12*t**2 - 2*t - 10. What is the remainder when b(-12) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/4 - (-2)\/8. Suppose -2*l + 1 = -9. Suppose l*d - 10 - 3 = 2*w, 5*d - 10 = 5*w. Which is bigger: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 - -2.1. Let h = y + 1.7. What is h rounded to 1 dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 805.984 - 806. Suppose -k + 2*i - 9 = -i, 4*k = 3*i - 9. What is the nearest to k in v, 2\/5, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/8 of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -271, 395, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 20 = 22 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 12:38 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -835.5 + 835. What is the second smallest value in 67, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 1171*f**4\/8 - 5*f**3 - 4*f**2. Let d be v(10). Round d to the nearest one thousand.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1 (b) -5 (c) 0.4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 569 = -6*l + 407. Let q be (-6)\/15 + l\/45 + 4. Solve 6*w - q*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1175, 1, 341?\nAnswer: -1175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 5*o. Let s be b(4). Suppose -2*g + s = -0*g. Suppose 29 - 44 = -3*z. Solve -19 = 5*t + 3*k, -t + 3*k + z = -g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -394904*j**3 - 2 + 394904*j**3 + 7166*j**4 + 4040*j**4 + 3780*j wrt j.\nAnswer: 134472*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16164 and 122526.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -89*h**2 - 4*h + 4. Let s(q) = -714*q**2 - 33*q + 33. Let w(f) = -4*s(f) + 33*v(f). Let u(a) = 12*a. Calculate u(w(i)).\nAnswer: -972*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -5307 = -5307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 divided by 5?\nAnswer: -108\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51 - 12977?\nAnswer: -12926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22.2328 + 22.2. Round v to three decimal places.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 101521?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 1, y: 2, t: 2, v: 1, i: 2}. What is prob of picking 1 f, 1 e, and 1 v?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32243681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 32 + (0 - 0) + (6575 - 6566)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -3*r - 1242, 3*r = 2*y - 2*r - 825. Suppose -15*n = -20*n - y. Let s = -38 - n. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggh when three letters picked without replacement from {g: 16, h: 4}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 30 = 6*i. Suppose -9*f + i*f - 2 = 0. What is the least common multiple of f and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1100 is divided by 140?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3633\/612121?\nAnswer: -3633\/612121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 3*a + 3*a)*(7 + 3 - 4)*(-1 - 2 + 5)*(4 - 1 - 2).\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y + 32*y - 516 = -35*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 900695.3ug?\nAnswer: 0.0009006953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.6161028 - -0.5059618. Let n = t + 2.11. What is n rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 7:14 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 9*s**2 + 12*s - 16. Let v be t(7). Let o(u) = -u**3 - 18*u**2 - 5*u + 9. Let z be o(-18). Let w = z - v. What are the prime factors of w?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4644 and 58152.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 238542?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnnmrnnnnnrnmrnmnrm. Give prob of sequence mmmr.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - -9 - 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122 - 86. Let p = -188229 - -188283. Calculate the lowest common multiple of a and p.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/19)*f*f*f**(-2\/107)*f)**(-5\/14))**(-8) assuming f is positive.\nAnswer: f**(123360\/14231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81\/(158760\/80)*21\/45.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60936?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*t + 2*k, 0 = -5*t + k + 7 + 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g - 4 + 9 + 3. Let j(r) be the first derivative of 2*r**3\/3 + 21248. Calculate j(u(b)).\nAnswer: 32*b**2 + 128*b + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + 31 - (-1 + -17 - -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -2 - (1 + -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aszzaaazszs.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11509)\/(-18279))\/((-8)\/216)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + ((3 + sqrt(605))*2 - 4*(sqrt(605) - (sqrt(605) + sqrt(605) + -3)))))**2 + 2.\nAnswer: -9504*sqrt(5) + 196598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 318920 to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -2131.\nAnswer: 3\/2131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 13*s - 1. Calculate w(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 9*g + 112. Let s(k) = 2*k**2 - 64*k + 491. Let o be s(14). Determine i(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2\/6 - 79*c\/6 + 13 = 0.\nAnswer: 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 195\/(-6) - 0\/2 and 119\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151018?\nAnswer: 2, 7, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 259944\/5 or 51989?\nAnswer: 51989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1784322 divided by 1719?\nAnswer: -1038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*r + 441, -r - 2*m + 754 = 4*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/3066 and 93\/16.\nAnswer: 24528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.04 + -0.96. What is the closest to g in 1\/4, 5, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 38*u - 803. What is the remainder when 847 is divided by m(54)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1882, 1852, 1822?\n\"Answer: -30*h + 1912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q + 36. Let n be b(-13). Let j = 909 + -904. Calculate the greatest common divisor of n and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/(-2))\/(-3))\/((-61)\/122)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3154 + -78?\nAnswer: 30a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/d**(1\/3))*d*d**(-7)\/d*d**(-2)*(d\/d**(-2\/9))\/d assuming d is positive.\nAnswer: d**(-76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 136\/(-6)*3 + 1. Let o be p*(0 - 1) + 3. Let r = o - 39. What are the prime factors of r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + 259\/5. Let d = 3.063 + -0.063. Sort j, d, -0.5 in increasing order.\nAnswer: -0.5, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*2241\nAnswer: 4482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29945 - -3?\nAnswer: -29942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2558*a - 47 + 95 - 48.\nAnswer: -2558*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*sqrt(1008))**2 - ((-1 + sqrt(112))**2 - (2*sqrt(63))**2).\nAnswer: 32*sqrt(7) + 1148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220471 is divided by 1352?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.226766 to 2 dps.\nAnswer: -52.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4 = -2*s. Let v be (4\/(-1))\/((-6)\/129). Suppose -v = -4*n - n - p, 16 = -4*p. What is the lowest common multiple of s and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(-165) - 10\/1815*11.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**2 + 6897*g - 6900 = 0. What is g?\nAnswer: -2300, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of k**6\/120 + 16*k**3 + 2*k + 164. Let x(i) be the third derivative of z(i). Let l(u) = 9*u + 11. Determine l(x(b)).\nAnswer: 27*b**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*b**3*i**2*x + 4*b**3*i + 68*b**3*x + 11*b**2*i**2 - 2*b**2 + 16*b*i**2*x + 2*b*i*x - 4*b*x wrt i?\nAnswer: -12*b**3*x + 22*b**2 + 32*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (36\/(-8))\/(-3) + (-79)\/(-2). Suppose -3*r - 3*l + 132 = 0, -2*r + v + 45 = 3*l. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000050409 to 7 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 - 3*q - 1. Let h(f) = 252*f**2 + 15*f + 5. Calculate -5*b(a) - h(a).\nAnswer: -242*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4695359\/8 - 586082. Let d = h + -839. Which is bigger: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 0*m**3 - 1\/36*m**5 + 0*m + 19*m**2 + 5\/72*m**4 + 0. Factor q(a).\nAnswer: -5*a*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -189 in decreasing order.\nAnswer: 1, -3, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcq when three letters picked without replacement from {q: 2, f: 9, m: 1, c: 6}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-4)*v)\/v**(-2\/5)*v**(2\/7)\/((v\/(v\/(v**(-1)*v)*v))\/v))**(18\/7))**(-1) assuming v is positive.\nAnswer: v**(-5472\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1855 and 35700.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6100 = 5*n - 20005. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 z when two letters picked without replacement from zxzi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02709003885 rounded to three dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 323855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (124 - 203 - (1 - -1)) + (4 - (-8 + 13)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b**5 + b**5 + 0*b**5)*(-2734 + 4330 - 2578).\nAnswer: 5892*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(10\/9)*n**(-1\/3)*n**(2\/15)*n*((n\/n**(-2\/17))\/n)\/n assuming n is positive.\nAnswer: n**(787\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2927, -3299, -3659, -4001, -4319, -4607, -4859?\n\"Answer: u**3 - 379*u - 2549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5 + 1 + 46*n - 45*n + 7. What is the least common multiple of b(-3) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -205, 1\/14, -4091?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48120.85 millilitres in litres?\nAnswer: 48.12085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 470 by 7.\nAnswer: 470\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 0*s - 3. Suppose -s*g + 12 = -0*g. Suppose 45 = -5*f - m - 4*m, -g*f = -m + 11. Which is smaller: -3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 7:09 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 2*a**2 - 3*a + 2. Let s be p(3). Let i = -4.2 + 12.7. Let n = i - 0.5. What is the third biggest value in s, n, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 80439 (b) 0.7 (c) 5 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (292\/657)\/((-4)\/18). Sort 4, c, 1, -11 in increasing order.\nAnswer: -11, c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -36*z - 4. Let c be v(-1). Let b be (-1)\/2*c\/916. Is 0 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/56 and (150\/(-2790))\/(1232\/198).\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 231, -5, 8, 0, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*n + 211*n = 0, 0 = 2*u + 3*n - 15082. List the prime factors of u.\nAnswer: 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5*u + 12 = 3*y, -u = -4*y + 16. Suppose 0 = -0*j + y*j - 120. Calculate the lowest common multiple of 14 and 2*(j\/(-4))\/(-5).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3\/5*s**5 + 666\/5*s**3 - 132*s**2 - 228\/5*s**4 + 219\/5*s + 0 = 0.\nAnswer: 0, 1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 384429 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -911, -1944, -2977, -4010?\nAnswer: -5043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/264)\/((-5)\/240*-8).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 5*a - 69 = 0, -30800*g - 7*a = -30804*g - 97 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + 2 - 2)*(3*d - 4 + 4)*(-4 + 1 + 1)*(d - 3*d - 2*d) as k*d + r*d**3 + j + x*d**2 and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j*n + 80*j + 25*n**2 + 2*n wrt n.\nAnswer: -2*j + 50*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5*r**(1\/2)\/r)\/((r*r**5)\/r)**(-1\/5) assuming r is positive.\nAnswer: r**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - 8 = 28 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/sqrt(144) + sqrt(17))*-4 - ((-1 + sqrt(833))**2 + sqrt(170)\/(sqrt(30)\/sqrt(3))).\nAnswer: -834 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 514 - 73 = 0. What is the highest common divisor of 14 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290674 a multiple of 493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r + 4*r - 2*r)*(73*r + 29*r**2 - 73*r) + (3*r - r**2 - 3*r)*(-2*r + 3*r + r).\nAnswer: 288*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - f + 18 = j, 0 = 2*j - 5*f + 6. What is the smallest common multiple of j and 5 - ((-9)\/(-3) - 2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0878919 rounded to 4 dps?\nAnswer: 0.0879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 + 267*g - 552*g + 285*g.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97805 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1997*j + 51898 - 51898)*(0*j**3 + j**3 + j - 2*j**3).\nAnswer: 1997*j**4 - 1997*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 5*f - 6, 8 = -2*n - 5*f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13568329, 13568330, 13568331, 13568332, 13568333?\nAnswer: 13568334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oob when three letters picked without replacement from {b: 2, o: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 102*d**2 - 316*d + 16. Give m(105).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 26 + 9 = 0. Suppose 2*x - 54 = -2*u - 3*u, -x + 57 = o*u. What is the tens digit of (344\/(-6))\/(0 + (-8)\/u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24*(-17)\/(-306)*9\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*m - 10*m. Suppose 4*j - 7 = 1. Sort 3, j, m.\nAnswer: m, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-20) + 3\/(-24)*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -3. Let y be (-4)\/q*3\/(-1). Solve y = -3*w + w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -1\/4 (c) 4 (d) -14\/59 (e) 0.654 (f) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -0*c - 15. Let h(i) = -3*i - c*i + i. Let u(s) be the second derivative of -s**4\/6 + 37*s. What is u(h(x))?\nAnswer: -50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(4*-1) + 26. Suppose -22 - f = -5*v. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2845488635?\nAnswer: 5, 11, 4703287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 + z**2 + 3*z + 1. Suppose 3*a + 51 - 6 = -6*b, 0 = -5*a + 5*b + 45. Let v(y) = -y - 1. Give a*s(u) + v(u).\nAnswer: 2*u**3 + u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19\/(-6) - (-3)\/18. List the prime factors of ((-6)\/u)\/(10\/115).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 7, n: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 194, 926, 2152, 3878, 6110, 8854, 12116?\n\"Answer: x**3 + 241*x**2 + 2*x - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-72)*34\/(14620\/90)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 0*t**2 + t - 1\/5*t**5 + 0*t**3 + 4 + 0*t**4. Differentiate s(i) with respect to i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52*k**6 + 65*k**6 + 845*k**2 - 777*k**2 + 33*k**5 - 26*k wrt k.\nAnswer: 1560*k**3 + 1980*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 336465 - 218095. What is u rounded to the nearest one thousand?\nAnswer: 118000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1800)*-4)\/sqrt(10) + (sqrt(15)*-2)\/sqrt(3) + 3*1*sqrt(5).\nAnswer: -23*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2. Let q(n) be the first derivative of 7*n**2\/2 + 62*n + 2986. What is q(v(f))?\nAnswer: 14*f**2 + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/4*64\/(-24). Let u(c) = 3*c**2 - c**2 + c**2 - c**i. Let v(b) = 3*b. Give v(u(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323982 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -2*l - 19, -l - 2*l + 2*l - 10 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 386.3261 days to milliseconds.\nAnswer: 33378575040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - s - 5, -165*a + s = -162*a - 1. Which is greater: a or -0.493?\nAnswer: -0.493","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1750 + -1746.036. Let s = 0.036 + f. Which is the closest to 1? (a) 0 (b) -16 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 - 1. Let p(u) = -2*u**2 - 39*u - 1. What is -2*i(h) - p(h)?\nAnswer: -2*h**2 + 39*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 118517 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3, -1, 11, 5, 19 in descending order.\nAnswer: 19, 11, 8, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769 is divided by (-2 - 2) + 31 + (6 - 11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -1100012?\nAnswer: 1100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m = 4*u - 117, -2*m + 54 = -2*u. Let x = m - 6. Suppose 0 = 3*n - 14 - x. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -46. Let s be 2\/3 - n\/75. Determine r, given that 0 + r**5 - 3\/5*r**4 + 3\/5*r**2 - 7\/5*r**3 + s*r = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.1 + -1.5. Let f = -1.425 - 0.025. Let o = l + f. What is o rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 451 in 1, 61, -0.9, 2\/7?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -49946628 - 3.97?\nAnswer: -49946631.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2 - 3 + 4 + 11*s - s**2 + 6. Let v be i(11). Solve -3 = v*r - 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1122343150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4144 by 28.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -1. Let u(r) be the third derivative of r**4\/2 - 2*r**3 + 6*r**2 - 62. Calculate 22*m(l) - 2*u(l).\nAnswer: -24*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p - 48. Let w be g(-16). Suppose w = -17*h + 79 + 176. Suppose -4*l = -l - 165. Calculate the remainder when l is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 5\/4084449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106747955 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 9*j**2 + j. Let z be v(-1). Suppose z*f = -6*f + 196. Solve -5*c + 10 = 0, -f = 4*b - 5*c + 6*c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 6*q + 14. Let t be v(-4). Solve 11*s + t = -5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 3*r**2 - 2*r**2)*(-849 + 849 + 123*r).\nAnswer: -246*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 8*i - 3. Let n(j) = 42*j - 756. Let o(f) = -f + 44. Let w(z) = -n(z) - 17*o(z). Determine -8*k(a) - 3*w(a).\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.903 - 5. Let h = c + 0.097244. Round h to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-4)*-1 - (-18)\/14\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 d when three letters picked without replacement from cjvcdjj.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*56\/((-28)\/4). Let w be 12\/(-42) + (-4)\/(-14). Let s be 19 - (w - -3 - 0). What is the greatest common factor of i and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ac (base 13) in base 10?\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/5 + 88\/5*b**2 - 84\/5*b = 0. What is b?\nAnswer: -1\/22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - c = 3200, -12*v - 1277 = -14*v + c. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 7 + 51 + (0 - 1 + 0)*(-4 + 0 + 2))*(-12 + 8*d + 12 - 3*d + 0*d + 2*d + (d - 2*d + 3*d)*(-3 - 2 + 3) + 4*d - 2*d + 0*d).\nAnswer: 190*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**3 + 6 - 7476*k**4 - 1603*k**2 - 1 + 7402*k**4 - 5 wrt k.\nAnswer: -1776*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10604080.\nAnswer: 2, 5, 83, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512340 is divided by 555?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 10\/((-40)\/21)) + 4077\/3020\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*w - 19 + 19)*(14 + 9*w - 7*w - 50 - 311).\nAnswer: 46*w**2 - 7981*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22\/7*m + 0 + 22\/7*m**3 - 1\/7*m**4 + 1\/7*m**2.\nAnswer: -m*(m - 22)*(m - 1)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 610 = -14*t + 3*m + 610, 0 = -3*m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 7 - 1. Let r be 1 - -3*n*1. Let h(f) = -10*f - 1232. Let d be h(-123). What is the closest to 0.1 in d, -4\/7, r?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1eb84c (base 15) in base 8?\nAnswer: 5577462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 6 = -16. Suppose -2*u - 4*t + 4 = 0, 2*t = 4*u - c*t + 4. List the prime factors of u - -4 - (-24 + 0).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d0d0 (base 15) in base 5?\nAnswer: -14122240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 = -5*t + 723. Calculate the highest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**2\/2 + 3242. Let q(w) be the second derivative of -w**3\/3 - 3*w**2\/2 + 3*w. Calculate q(g(j)).\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/345*-9)\/((-3)\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 22 = 5*v. Let g be ((-940)\/(-5))\/4 - v. What is the greatest common factor of 15 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-4)*r)**(-5\/4) assuming r is positive.\nAnswer: r**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**3 - t**5 + 32*t**2 - 36*t + 32*t**4 - 3*t**5 - 91*t**3 + 64*t**2 = 0. Calculate t.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818 is divided by 137?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 7 = -14*m. Which is the third biggest value? (a) 1 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 822412110 to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -9*l**2 - 5*l + 10. Let k(c) = -14*c**2 - 7*c + 15. Determine -5*k(i) + 7*v(i).\nAnswer: 7*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -9 + 9 + 5*p**2. Let v(w) be the third derivative of -w**5\/30 - 2*w**2. What is h(v(x))?\nAnswer: 20*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, t: 4, c: 9}. What is prob of picking 1 c and 1 t?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/5*2\/(-8). Let j = -37274 + 37264. Which is the biggest value? (a) 0 (b) g (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 8 = 3*d. Let q(c) = 2*c**2 - c - 2. Let j be q(d). Suppose -6*t + 42 = 12. Solve -j*k - 1 = -t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -55, 1\/14, -2\/3?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - ((7 - 16 - 17) + -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + 2*sqrt(847))*-2)**2.\nAnswer: 30492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 0*j - 12. Suppose -k = q - 6, 2*q = -3*k - 2*q + 18. Let r = j - k. Is 1\/4 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 6*i - 640 = 0. Calculate the remainder when 70 is divided by 8\/(-6)*(-24)\/i*12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - 0. Let l = 1.3 - 1. Let n = -765 + 766. What is the closest to 0.1 in l, u, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/28 of a week?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (302*q + 175*q**2 - 302*q)*(-1 + 2 + 0).\nAnswer: 175*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.23 - 0.23. Let k = 2 + 0. Sort k, -3, y in decreasing order.\nAnswer: k, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/436 and 43\/436?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1663, -1642, -1607, -1558, -1495?\n\"Answer: 7*z**2 - 1670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 19351 and 15674.9157.\nAnswer: 35025.9157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25\/72 - 2\/9. Let a = d - 55\/56. What is the nearest to 0 in -7, -1\/3, a?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 11*j**3 + j**2 - 7*j. Let f = 8 + 14. Let r(q) = q**2 + 42*q - 26*q + 10*q**3 - f*q. Calculate -6*n(p) + 7*r(p).\nAnswer: 4*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -2)*(-133 + 13 + -3 + 2). Calculate the highest common factor of k and 110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 7*l**2 + 6*l + 8. Let i be k(6). Let p = 3 - i. Let s = 8 + p. Solve -3*m + s*w = -12, 2*m = -3*m - w + 26 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1543437 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -11*r**3 + 130*r**2 - 34*r - 9. Let s(w) = 4*w**3 - 44*w**2 + 12*w + 3. Give -17*s(m) - 6*z(m).\nAnswer: -2*m**3 - 32*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 1. Let i(g) = 2*g**2 + 2. Let r(l) = i(l) - 3*t(l). Let h(x) = -x**3 - 2*x**2 - 1. What is h(k) - 2*r(k)?\nAnswer: -k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/189 - 6\/(-21). What is the smallest value in 5\/3, x, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286259171 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -99680 divided by 5?\nAnswer: -19936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 + -16 + -24 + 58 - 40?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 740239\/7 - 105749. Let o = -129\/44 - -11\/4. Which is the closest to -2\/9? (a) 2\/17 (b) i (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by (-202)\/(-18) - (-4)\/(-18).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 - -66. Let t = s - 49. Let q = -13 - t. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 113925 or 113933?\nAnswer: 113925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/30)\/(45\/250)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**5 - 621*t**2 - 73*t + 8 wrt t?\nAnswer: -20*t**3 - 1242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m**3 + 15*m**2 + 4*m - 13. Let b(p) = 3*p**3 + 8*p**2 + 2*p - 7. Let d(t) = -7*b(t) + 4*q(t). Give d(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 3*p + 0*p)*(-4 + 4 - 2)*(-4 + 4 + p**3).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhz when three letters picked without replacement from {h: 2, x: 2, z: 4, u: 2, l: 4}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 + 117b6?\nAnswer: 11803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 115 (b) -16\/5 (c) 1640\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 10*l + 3. Let g = 19 + -19. Let k be d(g). Solve -2*r - 7 = -k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2226955223 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 41 + 33 - 76 + p. What is x(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 121*w + 188 + 1506 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -637*j - 323*j + 134*j.\nAnswer: -826*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 20\/(-6)) + (23\/(-529) - 118538\/(-966))?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2263128 is divided by 1131540?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**2 + 594686*y - 594690 = 0. Calculate y.\nAnswer: -297345\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 78490671 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v**2 - 28*v - 12. Let k be s(-5). Suppose 5*w + k*y - 765 = 0, -4*w + 551 = 4*y - 69. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**3*c**2 + 10150*a**3*c + 2*a**3 + 13*a**2*c - 4*a*c**2 - 124*a + 2*c**2 wrt a.\nAnswer: 24*c**2 + 60900*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -10*c. Suppose c*l = -8*l. What is the second derivative of -p**4 - 9*p + l*p**4 + 24*p wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 6:03 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2448 divided by 6\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -146, -0.1, 7874?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + -5 + (2 - 18).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -52*b + 49. Is l(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -318?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*x - 0. Let u = x + 21. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*l + 27 = 0. Is (8\/(-6))\/(2\/l) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 97\/2 + -48. Let r(u) be the first derivative of o*u**4 + 0*u + 4\/3*u**3 + u**2 + 1. Let r(j) = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 27980, 27987, 27994?\n\"Answer: 7*z + 27973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 261 or 263?\nAnswer: 261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1*b*b**(3\/11))\/((b\/((b\/(b*(b\/b**1)\/b*b*b)*b)\/b))\/b)**(2\/25) assuming b is positive.\nAnswer: b**(603\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1439.544 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((-104)\/(-84))\/(8\/24).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 + -50. Let n be (-3633)\/(-105) - (-1 - i\/(-5)). Let w be -3 + (14\/n)\/((-1)\/(-10)). Solve -2*p + w + 1 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p - 4. What is the smallest common multiple of t(2) and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/40 and 27\/308.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 227*m**2 - 5994*m - 194918. Calculate f(-248).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8*s**2 + 12*s + 20. Let r be a(-8). Let i be r\/(-112) - (-1 + (-5)\/(-4)). Let g(x) = -4*x + 56. Let p be g(13). Is i >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*d + 0 + 4006\/15*d**3 + 1604\/15*d**2 - 2\/3*d**4.\nAnswer: -2*d**2*(d - 401)*(5*d + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, b: 11}. Give prob of sequence oob.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022 + 11?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 b when four letters picked without replacement from ybya.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i - 8. Suppose 3*f = -6*o + 8*o + 19, 6 = -3*o - 3*f. Give g(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -13\/21 (b) -2\/5 (c) 33 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**3 + 83741*b - 83741*b.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (-12 - (-6 + 3)). Suppose 48 + 36 = g*l. What is the tens digit of (-3458)\/(-49) + 2\/l*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -1050*c - 7. Let m be l(-4). Suppose -u = 6*u - m. Suppose -9*i + 544 = -u. List the prime factors of i.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*x**2 - 7 + 2*x**3 + 54*x**2 - 5 - 13 in the form f*x + g + t*x**3 + i*x**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 5*j - 9. Suppose -4*c - j*m + 221 = -3*c, -5*c = m - 1105. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 4 - (4 - 6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**4\/24 + x**3\/6 + 189*x**2 - x. Let f(t) = -t**2 + 2*t + 9. Let c be f(4). Let y(d) = -6*d - 8. Calculate c*y(v) + 10*q(v).\nAnswer: 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3156238, -3156253, -3156266, -3156277, -3156286, -3156293?\nAnswer: -3156298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -30 - -11 - -16 - (-10 + 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1150, 0.1, 0.2, -10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 1330085880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 - 6*a + 44. Let c(b) = 5*b**2 + 16*b - 137. Let f(w) = 3*c(w) + 8*r(w). Give f(0).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n**3 - 6*n**3 + 2*n**3 + 6*n**3 + 24*n**3 + 3*n**3 + (-3*n**2 + n**2 + 3*n**2)*(4*n + 2*n - 5*n) - 4*n**3 + 4*n**3 + n**3.\nAnswer: 36*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = i, 0 = -5*l + 3*i + 5. Let n be 91 + (4 - 2\/l). Let a = n - 63. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*b = -46*b - 54. Solve -10 = b*o - 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1600*q**2 + 2*q + 124. Let t be i(13). Suppose -t + 1288025 = 25*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + 3*n**2 - 3*n**2 + 0*n + 0*n + n**2 + 2*n**2 + 2*n**2 - 3*n**2 + n**2 - n**2 + n**2 + (n + 4 - 4)*(-n + 3*n - n) + 74*n - 21*n**2 + 72*n - 145*n.\nAnswer: -18*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -9900.6 to the nearest 10.\nAnswer: -9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y + 35184 = 2*s + 25*y, 0 = -3*s - 5*y + 52801. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/80 - (-3591)\/26600?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3485 plus 1308164037?\nAnswer: 1308164036.6515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(6\/(-14)) + 4002\/(-406). Put m, 5, 1\/4 in decreasing order.\nAnswer: 5, 1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1118469.\nAnswer: 3, 11, 33893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -11. Let s be (m - (-10)\/(-4))*-4. Suppose n = -2*d - 11 + 30, 34 = s*n + 5*d. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4 + 2*w**2 + 5 - 2. Let p be 18\/12 - 1\/(-2). Let h = 5 - p. Let x(z) = z**2 - 1. What is h*y(d) - 4*x(d)?\nAnswer: 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 9 = -3*q, 0*v = -2*q - 4*v - 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-189))\/((-76)\/532)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 1, t: 1}. What is prob of picking 1 b and 1 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*u - 101 = 0, -4*u - 35 = -2*w - u. What is the highest common factor of w and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*u + 6 = -81*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**4\/3 + u. Let r(l) = -l**2 + 2*l**2 + l**2. Determine g(r(d)).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 0*s**4 + 1\/60*s**6 + 7\/60*s**5 + 0*s + 0*s**3 + 0 + 4*s**2. What is the third derivative of a(q) wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7495 and 2759659?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1045689, 1045693, 1045699, 1045707, 1045717, 1045729?\nAnswer: 1045743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)*q\/(q*q\/q**(-2)))\/((q**(1\/4)*q)\/q)**(1\/46) assuming q is positive.\nAnswer: q**(-1657\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/53, 1, -146, 1375, -3, -4 in descending order.\nAnswer: 1375, 1, -2\/53, -3, -4, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29925 and 367325.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**5\/20 - 5*h**4\/4 - 17*h**3\/6 - 17*h**2\/2 + 18*h. Let m be u(-14). Calculate the highest common divisor of 10 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10724581 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**3\/3 + 9*x**2\/2 + 9*x - 2. Let m be u(10). Which is bigger: 0.4 or m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 159334 and 266.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 179725 and 30810?\nAnswer: 1078350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 6*q**2 - q + 7. Let n(y) be the third derivative of y**4\/24 + y**3\/2 + 3*y**2. Let l be n(-5). Let i be l*6\/(-4)*2. What is r(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -570243 or -1710731\/3?\nAnswer: -570243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5\/13 + 80\/39. Let m = 42 + -70. Let i = m - -28.3. Put q, i, 3 in decreasing order.\nAnswer: 3, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/18602 and 35\/3156.\nAnswer: 29353956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 6, 5, -4 in decreasing order.\nAnswer: 6, 5, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 9. Let y = r - 4. Suppose 6*q - y*q - 2 = 2*x, -x = -4*q + 11. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r. Let u(c) be the third derivative of -8633*c**4\/24 - 5364*c**2. Calculate u(w(i)).\nAnswer: 17266*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*x - 46*x = -82*x - 72 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**2 - 4*w - 31. Let t(x) = -2*x**2 - 3*x - 15. Let j(z) = -2*h(z) + 5*t(z). What is j(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*q - 264 = 81*q. Suppose -3*c = -4*d - 93, -4*c - 39 = 2*d - 7*c. What is the hundreds digit of (9\/d)\/(q\/(-642))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*x = 9 + 2, 5*x = 15. Suppose h - 2*j - 2 = 0, -3*j + 4*j + u = -5*h. Let z = 2 + h. What is the highest common factor of 6 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2979*i**2*m**3 - 18*i**2*m - 53*i**2 - 7*i - 52 wrt m?\nAnswer: 8937*i**2*m**2 - 18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 28*k - 60. List the prime factors of d(-13).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35435 + 300?\nAnswer: -35135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -529191961\/1181 + 448088. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/3))**(-11))**39 assuming f is positive.\nAnswer: f**(-286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w + 2. Let d(g) = 30*g - 46. Let n be d(2). Suppose n*v - 107 = 103. Let k(m) = 35*m + 15. Determine v*t(i) - 2*k(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 12*l**2 + 150*l + 802. Calculate s(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -2262?\nAnswer: 2266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b**3 + 10*b**2 - 22*b + 7. Let n be j(6). Let m = -445 - n. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 3*z. Let l(a) = 2*a**2 - 4*a. Let v be (3 - -2)\/(-1 + 0). Let j be v + 2*(-1 - -2). Let u(r) = j*l(r) + 4*b(r). Find p such that u(p) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3123*n + 351.\nAnswer: -3123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 47217*x + 21. Let n(q) = 3*q**2. Calculate u(n(k)).\nAnswer: 141651*k**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 1\/83 (b) -0.5 (c) 92230\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -503571 - -503570.9509951. Let k = x + 0.049. What is k rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-11) + (19485\/1650 - (-2)\/20).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 25 = -5*p, -2*p - 14 = 14*s - 18*s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -390*y + 1195. Give d(4).\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**2\/3 - 202106450*x\/3 + 10211754282900625\/3 = 0.\nAnswer: 101053225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 0*q**2 + 3*q + 3 - 12*q**3 - 3*q**2 + q**2 + 10*q**3 - q. Give l(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109988998091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-10\/9))\/m*m**(-1\/28)*m**(-1\/3)\/m*(m\/(m**(-22)\/m))\/m assuming m is positive.\nAnswer: m**(5983\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 124100 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -22*v**2 + 28*v - 22. Let l(d) = -7*d**2 + 9*d - 7. Let t(q) = -5*j(q) + 16*l(q). What is t(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**3\/3 + 32*r**2\/3 + 25*r\/3 - 62 = 0?\nAnswer: -31, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -636 = 27*w - 30*w. Suppose -f = 3*c - 202, -5*c + 2*c + w = -f. Let v = c + -32. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 3 + (-40 - (-6 - 7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30 + 146 + 138*p - 67 with respect to p.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -844 - -844.0003587. What is l rounded to five dps?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30.9 - 31. Let z(o) = -o**3 - 6*o**2 - 6*o - 8. Let i be z(-5). What is the nearest to 1 in i, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/4))\/m**(-2\/15))\/(m**3\/m)**(23\/3) assuming m is positive.\nAnswer: m**(-289\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-6 + -7 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -1a306855?\nAnswer: 1a306850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 710*n + 553. What is o(0)?\nAnswer: 553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194330, 194376, 194422, 194468, 194514?\nAnswer: 194560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -3 - (83 + -78)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 90132694?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 11:03 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*18\/1500*40\/90)\/((-6)\/(-15)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -40031112?\nAnswer: -40031122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 17*r**2 - 7*r - 2. Let i(h) = 9*h**2 - 4*h - 1. Let q(o) = 11*i(o) - 6*m(o). Let j be q(1). Let b = j + 8. Solve b = -2*u + 14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -159, -151, -139, -123, -103, -79?\n\"Answer: 2*s**2 + 2*s - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 339491 from 3.\nAnswer: -339488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76486*k - 1323 = -76535*k for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 3) to base 5\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41, 249, 603, 1103, 1749, 2541, 3479?\n\"Answer: 73*l**2 - 11*l - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millennium in decades?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*o + 688 = -121*o for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s + s + 2 - 2. Suppose -2*d + 5*m = 27 - 11, 3*d + 3 = -3*m. Let h be f(d). Solve 2*x = 5*g - 9, 4*x - 15 = -h*g + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111211 (base 3) to base 10\nAnswer: -373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**2 - 5*y + 60. Let p(j) = 3*j + 4. Give -4*p(f) - 3*w(f).\nAnswer: -6*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 + -48. Suppose 265 = 3*p + m*p. Let y = p - 42. Solve 3*h + y = -d, -1 + 8 = -2*d - h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 6*p**2 - 8*p - 15. Let u be b(-5). Find the common denominator of 10 and u + (-298)\/72 - 21\/84.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1, 259, 0.3, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 636 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**35*(r**0)**39*r*r\/(r\/((r**(-1\/7)*r)\/r)*r)*r*r\/(r\/(r**(-1\/2)*r))*(r**(-1\/3)\/r)**41 assuming r is positive.\nAnswer: r**(-3709\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (-7 + (-1 - -1) - (16 + 58 + -88))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 23596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 43 - 209a2?\nAnswer: -2095e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 5, c: 13}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 4 + 4)*(1 - 2 - 1) - 34681967*p + 34634970*p - 4 + 4.\nAnswer: -47001*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (14 - 9)) + -3 + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5931, -5936, -5941, -5946, -5951, -5956?\nAnswer: -5961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1027 - 623. List the prime factors of h.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93921015.5 rounded to the nearest one million?\nAnswer: 94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3464 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 747103\/18 + -39621. Let c = d + -1886. What is the common denominator of c and -9\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6 - ((-706)\/(-48) + -15).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -12*v - 10. Let r(g) = -g**2 + 6*g + 1. Let y be r(6). Suppose 39 = -4*n - y. Let i be h(n). What is i rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776697 is divided by 917.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 33071 (base 8) to base 15\nAnswer: 41a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - w)*(2*w - 1 + 1 + (-1 + 4 - 2)*(5*w - 34 + 34)).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3528.975578 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7302 divided by 606.\nAnswer: -1217\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -3 - 2) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -712535 (base 8) to base 2\nAnswer: -111001010101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**2*f*f\/(f**35\/f)*f*f*(f*f\/(f**4\/f)*f)**23 assuming f is positive.\nAnswer: f**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*f**3 + 221355*f**2 + 25320*f - 25300 = 0. What is f?\nAnswer: -2\/5, 2\/7, 1265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 17. Let i(z) = 2*z + 36. Let c(h) = -6*i(h) - 13*t(h). Let o(u) = -6*u**2. Determine o(c(k)).\nAnswer: -6*k**2 - 60*k - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -25*r**2 - 9760*r - 29268. Give j(-3).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (-5 + 4) - -4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-14)\/(-203))\/(8\/(-2)))\/(2\/8)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -1\/5, -32, -2, 3\/8, -4.4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11978 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: Let b(d) = 183*d. Let v be b(1). Let m be -1 + (1 - 2 - -132). Let o = v - m. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*x - 3*t - 5, 0 = -5*t + 10. Suppose 0 = -0*s - x*s. Let y = -226 + 222. Which is the third smallest value? (a) 4 (b) y (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2007 or -1754?\nAnswer: -1754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o - 198. Let u(k) = 2*k - 142. Determine s(u(p)).\nAnswer: -4*p + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 + -55. What is the second biggest value in z, -3, 1.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (10\/15)\/(2\/111)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 44\/7, -12, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 628 - 347. Suppose -o = 12*h - 953. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.7461 * -3.\nAnswer: -11.2383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.5, 1\/494 in increasing order.\nAnswer: -5, -0.5, 1\/494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 820 and 2640?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, o: 4, i: 1, z: 1, k: 5, s: 4}. Give prob of picking 1 i, 1 o, and 2 s.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37815080.\nAnswer: 2, 5, 945377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21199 - -28381. Is v a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*g - 17, -g = 5*i + g - 25. Suppose -11*w - 12 = -15*w. Solve -2*l + i = h, -3*h - h = -w*l - 17 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (81\/(-378))\/((-54)\/(-180)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101018 by 106.\nAnswer: -953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -54*h**2. Let d(p) = -p. Let u(k) = k. Let v = 38 - 35. Let m(s) = v*u(s) + 2*d(s). Calculate m(l(a)).\nAnswer: -54*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2263*w - 13377. Let z = 0 - -7. What is the lowest common multiple of j(-6) and z?\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 0 + 2*w + 6 - 6*w. Let m be z(5). Let b = m + 20. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 1, 10, 21, 34, 49, 66?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5842 divided by -20\nAnswer: -2921\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -1.88229, -4.\nAnswer: -19, -4, -1.88229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 61*y - 11. Let k(d) = 41*d - 7. Give -5*c(w) + 8*k(w).\nAnswer: 23*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-4 - 25) - -46?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 12, 365 = -4*j - 4*u + 1453. What are the prime factors of j?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 + w**2 - 4*w**2. Let d be n(0). Let u(r) = r + 15. What is the tens digit of u(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*j - 16*j - 3*y + 7, 0 = j - 47*y + 187 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and 775574?\nAnswer: 14735906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 84074 divided by 662?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3 = 4*z. Suppose -7 = -z*d - 1. Suppose 0 = -d*g + 4*g - 4. Solve -4*o - 7 - 12 = -3*j, -g*o = -j + 9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107794062?\nAnswer: 2, 3, 59, 101501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*t = 5*v + 405, -1038 = -5*t + 4*v. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127524 is divided by 42376?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3287\/4 + -23017\/28. Put l, 3, 0, 52 in decreasing order.\nAnswer: 52, 3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81304175 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13183504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/((s\/((s*s\/(s**(2\/7)*s))\/s))\/s))**(7\/3))**(1\/10)*(s\/(((s\/s**(-2\/5))\/s)\/s*s)*s)**(-3\/28)*(s**1\/s)**(-3\/37) assuming s is positive.\nAnswer: s**(8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -8968396.5 to the nearest 100000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 80. Let m be w(-32). Suppose -2*q + 4*c = -110, 0 = 5*q - 0*c + 2*c - 215. Let k = m - q. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 595 and 254.\nAnswer: 151130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 - 9*y + 3. Let h = -4 - -10. List the prime factors of n(h).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/110, 1\/5, -2\/3, 0.145, -76?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (14 - -4) + -32 + -4 - (8 - 2 - 3)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34471*a + 36166*a + 11*a**2 - 105110*a + a**3 + 34473*a.\nAnswer: a**3 + 11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000586566 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, y: 3, r: 2, u: 2}. Give prob of sequence oo.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 764 = 4*u, -2*h = 2*h + u - 1025. Calculate the remainder when h\/10 + (-4)\/(-10) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 64*p - 312. Give b(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4 + 44. Let c(a) = 2*a**3 + 4*a. Let d = 5 + -3. Let g be c(d). What is the greatest common divisor of g and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -5, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -34. What is the second smallest value in -2, o, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.55 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 321580 and 2297?\nAnswer: 321580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.56282 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -820 or -823?\nAnswer: -823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -3. What is the common denominator of l\/(-3)*(-3)\/8 and (-1589)\/42 - (-1)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47293, 94621, 141965, 189331, 236725, 284153?\nAnswer: 331621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13180 (base 10) in base 3?\nAnswer: 200002011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27168115980.00047 + -27168339013. Let l = -223035 - d. Let w = 2 + l. Round w to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4331389760 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*d = -5*q + 13, 4*q - 14 = -5*d. Let k(l) = 42*l**2 - 1. What is the remainder when k(q) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5 = -2*r, 4*a - 7 = -r + 6. Let j be 1*a\/(-6)*-6. Suppose 5*i + 4*y = 18, -j*y - 2 = -4*i - 0*y. Is i < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (57\/38)\/((-6)\/(-32)). Suppose 900 = -w*y + 12*y. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 9:23 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 2*h - 1. Let v = -22 - -23. Calculate the lowest common multiple of d(1) and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 9*u - 11 = 4*u, -1 = -4*s + u. Let o be (-2)\/(s + -1 - 4). Let i = -8 + 7. Which is the third smallest value? (a) i (b) o (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/8*4\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r. Let c(y) be the second derivative of -y**4\/4 + 73*y. What is c(n(m))?\nAnswer: -147*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*z + 34. Let b = 14 - z. Solve n - b*v - 9 = 0, 2*v + 18 = 4*n - v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.4, -530, 5, 1\/256, 2\/25, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - 1 = 10*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 20*z**4 + 5*z**2 - 1 + 0*z - 200\/3*z**3 + 1\/30*z**6 - 7\/5*z**5. Factor j(d).\nAnswer: 4*(d - 10)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -20*a + 40*a. Let t(i) be the second derivative of 0 + 7\/6*i**a + 5*i + 3\/2*i**2 + 5\/12*i**4 + 1\/20*i**5. Factor t(d).\nAnswer: (d + 1)**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2 - 273852. Let v(q) = -5*q. Determine d(v(n)).\nAnswer: 100*n**2 - 273852","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -8. Sort i, -4, 5.\nAnswer: i, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w**2\/w*w)))**(4\/3)\/(w**(-5\/8)\/w**36) assuming w is positive.\nAnswer: w**(943\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-1\/2)))**(-30)*v**(-8)*v*v*v\/(v**(-9)*v)*v*v*v)**29 assuming v is positive.\nAnswer: v**(-261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 54*a**2 + 554*a**3 - 96*a**2 + 48*a**2.\nAnswer: 554*a**3 + 6*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -11.2. Let k = -11.06 - h. Let v = -0.45 - k. Round v to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 at most -10816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09483 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17055 - 2*g + 17055.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.8262 - -0.1738. Let r = 3 - 5. Put -4, r, i, 3\/7 in decreasing order.\nAnswer: i, 3\/7, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + ((-108)\/(-144))\/(1\/(-6)))*-154. Calculate the highest common factor of 484 and w.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 667 and ((-6)\/9)\/(1*7\/(-1932)).\nAnswer: 5336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23777 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -857*r - 352 = -862*r + 131*o, 3*r - 48 = -3*o for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**2 - 17*z**2 + 16*z**2 + 37*z**3 - z to h*z**2 + d*z + m + k*z**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 4:21 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1727720 + 125?\nAnswer: 1730045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 36295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -5*y**3\/6 - 6*y. Let t(j) = 5*j. Determine c(t(q)).\nAnswer: -25*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 245*i**3 - 95*i**2 - 75*i**2 + 14*i**2 wrt i.\nAnswer: 1470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 212065967?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/7652 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**4 + 505*g**3 - 1942 wrt g?\nAnswer: 8*g**3 + 1515*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*k - 2*u, 2*u = k + 3*u + 8. Let i = -0.97 + -12.13. Let l = i + 13.2. Which is the nearest to l? (a) -5\/6 (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44.9? (a) 44 (b) 7 (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3917+-317.81\nAnswer: 3599.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -68? (a) 1\/2 (b) 5\/2 (c) 0.3 (d) -8\/9 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16615, -33366, -50181, -67030, -83883?\nAnswer: -100710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -663980012\/62205159 + 38786\/3621. Let t = l + -145871051\/1030740. Let i = t - -424\/3. Which is bigger: i or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - g - g)*(10 - 4*g - 10).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 768*h**3 - 4*h**2 - 18*h + 4. Let i(v) = -v**3 - v**2 - 4*v + 1. What is -a(o) + 4*i(o)?\nAnswer: -772*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1717.5892249 rounded to zero dps?\nAnswer: -1718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/225 and -62\/135.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-2) + -2 + -67. Find the common denominator of -2*(l\/132 + -1) and (-18)\/(-42) - (-481)\/(-28).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 82199?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -5*h**5 + 185*h**4\/4 - 470*h**3\/3 + 230*h**2 - 120*h - 37. Find w, given that v(w) = 0.\nAnswer: 2\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 6:28 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4*s**2 - 148163*s - 37041 = 0.\nAnswer: -1\/4, 37041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-25)\/(-350)*-4 - (-312)\/14. Suppose 0 = 2*o + 3 - 5, -u - 4*o = -6. Factor -5*g**3 + 35*g - 18*g - f*g + u - 20*g**2 + 28.\nAnswer: -5*(g - 1)*(g + 2)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*-1086912.\nAnswer: 21738240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35789052*l**2*z**3 + 205380*l**2*z - 2*l*z**2 - 7*l*z + 2*z**2 wrt z.\nAnswer: -214734312*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 200514 (base 6) in base 16?\nAnswer: 3d7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from yedyttde.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -6. Suppose -2*p + 4 = -0*p. Let b(a) = a**3 - a**2 - a - 2. Let g be b(p). Which is smaller: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and 19?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61552 and 43982751?\nAnswer: 3847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 13*i**2 - i - 12. Let k be a(-13). Let q be -1*((-2 - k) + -1). Solve -3*u + 7*u - 3*g = -7, -q*g = -4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27843869 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: b\"What is the sth term of 32153, 64300, 96443, 128582?\n\"Answer: -2*s**2 + 32153*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 3*k + 15. Suppose 10 = 3*x - 5*x + k*m, 2*x + 5*m = -10. Let a(y) = -y**3 - 6*y**2 - 4*y - 2. Give a(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.077246 nanograms to milligrams.\nAnswer: 0.000005077246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2980049132 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 335284690311.71 - -0.2\nAnswer: 335284690311.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8\/7 (b) -0.6 (c) 0 (d) 1\/5 (e) 2122\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -935 divided by 187.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 5) to base 9.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.13 + -1.87. Which is the second biggest value? (a) -0.5 (b) k (c) -5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -569 - -569.1. Which is the closest to q? (a) -4 (b) -9 (c) 15 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/13 + 44*c**2\/13 - 170*c\/13 - 500\/13 = 0. What is c?\nAnswer: -25, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -64, 9, 3 in descending order.\nAnswer: 9, 3, 2, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 4, o: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 1615 + 9584 = l, 4*w = 3*l + 11187. What are the prime factors of w?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 6*x - x. Let q(n) = -n**3 - 7*n**2 - 12*n - 22. Let z be q(x). Let g = z + -44. Calculate the highest common divisor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*k**3 + 23*k**3 + 73*k**3.\nAnswer: 68*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -3\/4, -0.22, -10600 in ascending order.\nAnswer: -10600, -3\/4, -0.4, -0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15249*j - 15676*j = -12810 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**3\/2 - 872315*u**2 - 15702400*u - 27915520 = 0 for u.\nAnswer: -16, -2, 348944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29 + 5*l**2 - 29)*(8*l + 3*l - 13*l) to i*l**2 + q*l**3 + k*l + n and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 14 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 3)\/((-4)\/16). Suppose k*g + 8 - 24 = 0. Let u(b) = b**3 - 5*b**2 + 6*b - 3. List the prime factors of u(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7953, 7944, 7921, 7878, 7809, 7708, 7569, 7386?\nAnswer: 7153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 9543.\nAnswer: 9534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(21\/9 - 1). Suppose -3*z - 2*x = -36, 2*z + 2*x = -x + 24. Calculate the lowest common multiple of 2 and (-9)\/z - 83\/y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1238*t + 185408 = 3059*t - 73542 - 16058 for t.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/28 - (-6)\/(-21). Let z = -76\/3 - -230\/9. Let j = -14.008 - -14.108. Which is the second smallest value? (a) j (b) u (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 15) to base 16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1075 = -4*o + 1087. Solve -6*r + o - 15 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - -5. Suppose 5*y - 3*j - m = 0, 0*y + j = y - 1. Let u = 17.4 + -17. Which is the third smallest value? (a) -2 (b) y (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-13 + -6 + 7 - (-7 + 1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + (-4 + 1 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 6*x + 3. Let v be 6\/9 + 14\/(-3). Let l(o) = -o + 1. Determine v*l(q) + c(q).\nAnswer: q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 89, 200, 355, 554, 797, 1084?\nAnswer: 1415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**2 - 2*l - 2. Let a be ((-4)\/18 + 6\/27)\/2. Suppose a = n + 3 - 1. Calculate f(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/63*105\/15\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 53, 213, 479, 851, 1329, 1913, 2603?\n\"Answer: 53*l**2 + l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -4, -114 in descending order.\nAnswer: -4, -11, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -213, -211, -209, -207, -205?\n\"Answer: 2*r - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.9 + 3. Let o be 4\/14 + (-19)\/(64904\/1403). Let q = -1 + -1. What is the nearest to d in 5, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 12*w - w - 8*w - w**2 - w**3. Determine t(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-44)\/(-2) + (85 - 89). What is the greatest common divisor of l and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132*0.27.\nAnswer: -35.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2673 to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -524, -1, 0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/12, -4, 2\/5, -46?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from vvvffffvffffffvffv.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 - b**2 - 10*b**2 + 3*b**2 - 4*b**2. Let l(s) = s**2 + 3*s + 6. Let w be l(-4). Let r(g) = w*g**2 + g + 3*g - 4*g. Give 6*j(c) + 5*r(c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 537bc93b - 2?\nAnswer: 537bc939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**7\/280 - i**5\/60 + i**3\/3 + i**2. Let q(x) be the first derivative of d(x). What is the second derivative of q(p) wrt p?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23640932432 + 4.\nAnswer: 23640932436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**3 - 92*u - 87*u + 179*u.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20625020 and 352820.\nAnswer: 5980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7316455 litres to millilitres.\nAnswer: 731.6455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 35*t + 100. Determine y(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/((-2255)\/6765)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*h - 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + (sqrt(88) - sqrt(88)*3) - sqrt(88))\/sqrt(8) - (sqrt(77)\/sqrt(7) + -2)**2)*4.\nAnswer: -60 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1573, -1965, -2351, -2731?\n\"Answer: 3*u**2 - 401*u - 1175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*sqrt(114) + sqrt(114)))\/sqrt(6) + -6*1*(0 + sqrt(19)) - (-3*sqrt(2299) + 3 + (1*sqrt(2299)*2 - sqrt(2299))).\nAnswer: -3 + 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 - 22*g**2 - g**2)*(-2 - 2 + 1) - 2*g**2 + 0*g**2 + 3*g**2.\nAnswer: 79*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 4*w - 2*w)*(0*w**2 - w**2 - w**2 + (-1 - 3 + 10)*(w**2 - w**2 + w**2)).\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015196372 to 7 dps.\nAnswer: -0.000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 10*f**2 + 13*f. Let i be z(-9). Let n be (-296)\/i - 4\/18. Let b(p) = 8*p - n*p + p**2. Let k(r) = -6*r**2. What is k(b(m))?\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-18)*p\/p**(-2) assuming p is positive.\nAnswer: p**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7538208891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2127, -9218, -21021, -37536?\nAnswer: -58763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-28)*(-8)\/((-28)\/(-7)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/5 - (-1274)\/(-30). Let n = -12973\/5 - -267893\/105. Let p = n - r. Which is the closest to 1\/4? (a) 1\/6 (b) p (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -14*m**2 + 1764*m + 31824. Calculate c(-16).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (12 - (-31 - -14)) + 27 + 3\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 8:04 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g**(1\/2)*g)\/g)**(6\/19)\/(g**2)**(-35) assuming g is positive.\nAnswer: g**(1345\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 822 and 213172?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfyy when four letters picked without replacement from {l: 3, f: 1, y: 13, x: 2}.\nAnswer: 13\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5432*g + 76748*g + 9034*g.\nAnswer: 80350*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -41\/12*z**4 - 3 - 3\/2*z**3 + 0*z**2 + z. Find the second derivative of a(p) wrt p.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -294186+-4561.814\nAnswer: -298747.814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208 - 67*h**2 - 56 - 50 - 49 - 53.\nAnswer: -67*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k - 35. Suppose -2*v - 18 = 2*i, -88*v + 91*v = -5*i - 41. Let b(j) = -4*j - 70. What is v*b(q) + 5*o(q)?\nAnswer: -2*q - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6201 and 901.\nAnswer: 105417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -26, 81?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1157\/1394 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -5 (c) -0.1 (d) -342\/653\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(4\/15)\/f)\/f**(1\/4))**(13\/5))**(-6) assuming f is positive.\nAnswer: f**(767\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3170151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6998 - 1184 = r. Does 20 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 23. Let r = -24 - g. Sort -1, 4, r in descending order.\nAnswer: 4, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4222*b**2*w + 351*b**2 + 4*b*w - 6*b + 2538*w + 2 wrt b.\nAnswer: -8444*w + 702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*s**4 + 30*s**3 - 383*s**2 wrt s?\nAnswer: -240*s + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t - 2*t - 3*t + (-7 + 11 + 7)*(-2*t + 4 - 4) + (5*t - 4*t + t)*(0 - 1 + 3) in the form l + c*t and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 20201220 (base 3) to base 9\nAnswer: 6656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/1218 and -1\/213150.\nAnswer: 213150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1964, -7842, -17644, -31376, -49044?\nAnswer: -70654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 783721, 783736, 783751?\nAnswer: 783766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 15. Suppose -4*d = l*d - 16. Suppose -d*z + 3*m = z - 189, 221 = 3*z + 5*m. What are the prime factors of z?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**8\/(o*o**(2\/25))*o**(-17)\/(o*o**23*o*o) assuming o is positive.\nAnswer: o**(-902\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + x + 1. Let z(c) = -c**3 - c**2 + c - 2. Let l be z(0). Let f be v(l). Let b = 2 - f. Round b to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 54909, 102948, 150987, 199026, 247065?\n\"Answer: 48039*g + 6870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 105*p**3*z - 120*p**3 wrt z.\nAnswer: 105*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(((-56)\/540)\/(-7)). Let v be d\/(-30)*16\/6. Solve l - v = -3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -30*(38\/5 - 0). Let x be (-84583)\/(-164) + ((-1)\/(-1))\/4. Let r = k + x. What is the highest common divisor of r and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.5 + 6.9. Which is the third biggest value? (a) 4 (b) 0.08 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 904077?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56480, 112582, 168684?\nAnswer: 224786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 17, 35, 61, 95, 137?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 13*o - 4. Let x be s(-3). Let c = x + 70. Suppose -5*w - 5*q = -38 - 17, -w + q = -19. What is the remainder when c is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 x when three letters picked without replacement from {x: 4, o: 5, j: 3, y: 7}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j - 6*j - 3*j + 25*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1596, 1596, 1594, 1590?\nAnswer: 1584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 21*b**2 + 17*b - 16. What is the tens digit of i(-22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11 and 45012647.\nAnswer: 45012636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -234*z**3 - 23*z?\nAnswer: -1404*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 21*u - 27. Let s = 2381 + -2403. Give m(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 11 - 2 = 0. Let j = v + 1. Solve -4*y + 3*t = 19, 0 = -5*y + t + j*t - 25 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/27 - 210\/27. Let k(l) = -l**2 - 9*l - 1. What is the smallest common multiple of 11 and k(g)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -41. Suppose b*x + 385 = 19*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14313557 at most 14313558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**5\/5 + 8793*s**4\/5 + 17598*s**3\/5 + 6*s**2\/5 - 3519*s - 8799\/5 = 0. Calculate s.\nAnswer: -1, 1, 2933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5226 and -140.\nAnswer: -213.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - d + 4, 89*r - 20 = 84*r - 5*d. Solve b + r + 5 = 4*z, 20 = -4*b + z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 0. Let t = 7 - 3. Let q be (-2)\/t*-3*2. Sort a, q, 5.\nAnswer: a, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206167335 a multiple of 511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*f + 33. Suppose -o + f = -2. Suppose -p - o = -3*x, 9 + 0 = -3*p. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 417328?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 4*j**3\/3 - 44*j. Let r(v) be the second derivative of -v**3\/6 + v. Determine a(r(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 66, 92, 120, 150?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 159669029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -215*d*m**2 + 273*d*m - 3*d + 2*m**2 + m - 4592 wrt m.\nAnswer: -430*d*m + 273*d + 4*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 9*t**2 - 15*t + 7. Let i be c(7). Solve 2*r - f + i = -7, -3*r + 2*f = 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -72.00006?\nAnswer: 7.200006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((-54)\/564)*(-1)\/(-7)*(-189)\/54?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**4*r**2 + 313*c**4 - 99*c**3*r**2 - 345*c**2*r**2 - 2*c**2*r - c*r**2 + r + 29 wrt c?\nAnswer: 72*c*r**2 + 7512*c - 594*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -26. What is the units digit of 6*(-1)\/l*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8595, 1799, -4, 1 in decreasing order.\nAnswer: 8595, 1799, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/((-14)\/4 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11379796 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 19, -0.016?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 446150417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8 + 6)*(1 - 0). Let p = -1 - -6. Suppose -5*b = -s + 30, -2*s + 2*b = -76 + 64. Sort t, p, s in ascending order.\nAnswer: t, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -227 (b) -1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 + 56. Let b be (s\/12 + 2)*4\/9. Let x = 2.93 + 0.07. What is the closest to -1\/3 in x, b, 2\/19?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10926?\nAnswer: 2, 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccbbikicciisb. What is prob of sequence bk?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*i**3 - i**3 - i**3 + (0*i**2 + i**2 - 2*i**2)*(-2*i + i + 2*i).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/11 + 12*s\/11 = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/43)\/v**44 assuming v is positive.\nAnswer: v**(-1890\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 - -5845.\nAnswer: 5845.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 60 = -5*s. What is the remainder when 149 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.0513832 centuries?\nAnswer: 0.513832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 163554 - a?\nAnswer: 163545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 207\/(-161)*20\/30?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 - 2*l + 1. Let c = 2 + 4. What is the remainder when p(2) is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-104))\/((-8)\/(-16)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1 + 0*a - 2*a**2 - 55 - 58*a. Let c be g(-28). Factor c*p + 3\/2 + 1\/2*p**2.\nAnswer: (p + 1)*(p + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*f**4*n - 4*f**4 + 150*f**2*n wrt f?\nAnswer: -336*f*n - 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2706 - 2700. Let r = -2 - -6. Which is the fourth smallest value? (a) -5 (b) 2\/9 (c) v (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -j. Let h = j - 4. Solve -k = 4*t + 18, 2*t + 11 = -h*k - t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9738.8 + -11280. Which is greater: h or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 150, 1, 2, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 8 = 47. Suppose 4*y - 76 = -0*y. Let r = y + t. What is the least common multiple of r and 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/135 and -68\/5265.\nAnswer: 5265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l + 0*l - 5*l)*(6 + 2 - 3)*(-3 + 7 + 1)*(2 - 1 + 2) as d*l + w and give d.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 497*l**3 - 3*l**4 - 18640*l**2 + 5*l - 1 + 18640*l**2 in the form w*l + r*l**2 + m + t*l**4 + k*l**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by 41?\nAnswer: -44\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 + -42. Let z(i) = -13 - i + i + h + 4*i. Let l(u) = 5*u - 2. Calculate 3*l(o) - 4*z(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*x = 3*g - 31, -5*g - 4*x + 59 = 0. Suppose -5*i - g*o + 7*o + 4997 = 0, 4*i - 2*o - 4008 = 0. What are the prime factors of i?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7078, 14148, 21212, 28270, 35322?\nAnswer: 42368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1084, 1960, 2642, 3124, 3400, 3464, 3310?\nAnswer: 2932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 282*1\/(-26) - (-16 - 60\/(-12))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 275\/70) + 4\/(-8).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 38 + 3*x**2 - 19 - 4*x**3)*(-16 + 8 + 80).\nAnswer: -288*x**3 + 216*x**2 + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**2 - 158*s - 6241 = 0.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)*1*-5)\/((1*sqrt(32))\/sqrt(8)))\/(-6*(6*-3*sqrt(196) + sqrt(196))).\nAnswer: -5*sqrt(13)\/714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*x**5 + 100*x**4 - 125*x**3 - 50*x**2 + 100*x + 40.\nAnswer: -5*(x - 2)**3*(2*x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*z + 1821 = -o, -3*z - 2749 = -2*o. Is z at least as big as -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k. Let g be a(-11). Let t = 14 + g. Suppose 4*r + 4*u = -1 - t, -4*r + 28 = -4*u. Solve 0*p - r = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f. Let u(c) = -59*c**2. What is v(u(t))?\nAnswer: 295*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 9:46 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4518\/7 - -22727\/28. Which is bigger: d or 166?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -9.4639?\nAnswer: 1.89278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueeuuueeee. What is prob of picking 2 u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, f: 2}. What is prob of sequence fd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.9 + 1.1. Let k = 0 - a. Suppose -4*g = 4 - 0. Put -3, g, k in ascending order.\nAnswer: k, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18550135*n**3*w**2 + n**2*w + 2*w**2 + 34657*w wrt n?\nAnswer: 111300810*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u = 4. Suppose 5*q - 5*o = 0, 3*q - 5*o + u = -2. Find the common denominator of 55\/18 and q\/2 + 255\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r**2 - 2 - 17*r**2 - 100*r**3 + 13*r**2 as c + i*r**3 + g*r**2 + j*r and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 - 18*m. Let c(z) = -6*z. What is c(v(f))?\nAnswer: -12*f**2 + 108*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -210563\/742022 + -231199936583\/21325712280. Let o be (-3)\/2 - 64659\/(-43110). Let a = o - m. Find the common denominator of -25\/6 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 305298897*r**2 + 466*r + 136091 wrt r.\nAnswer: 610597794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1008 (base 9) in base 12?\nAnswer: -515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38*j*v**2*w**3 + 72*j*v**2*w + 6*j + 23*v**2 + 1432*v*w**3 wrt j?\nAnswer: -38*v**2*w**3 + 72*v**2*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 70227.3157 to zero dps.\nAnswer: 70227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tftufufuuufuut. What is prob of sequence tf?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - a**3 + 12 - 5 + (0*a + 0*a - 8*a**2)*(0 + 0 - 1)*(0*a + 3*a - 5*a))*(2 - 1 - 4) to s*a**2 + q + c*a**3 + n*a and give c.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 308 by -154.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**7\/210 - 2*l**4\/3 - 5*l**3\/6 - 16*l. Let n(f) be the second derivative of z(f). Differentiate n(d) with respect to d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqququqqqqqqqquqqq. What is prob of picking 2 q?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 7*t**6\/20 - t**4\/24 + 5*t**3\/6 - 5*t**2 - t. What is the second derivative of z(c) wrt c?\nAnswer: 252*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from {g: 3, x: 1, t: 1, s: 5, j: 2}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409070 is divided by 617?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 0*f - 2*f)*(0 + 1 + 2) + (5 - 2 - 1)*(3*f - 9*f + 14*f).\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033543808 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(18)\/(6*(sqrt(225) + sqrt(9))) - (sqrt(50))**2*5*6).\nAnswer: -sqrt(2)\/6 + 9000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -247 + 118.5. Let m = s - -129. Let r be (1\/(-9))\/(1\/(-3)). Which is the closest to 0.1? (a) m (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011011 - -1011?\nAnswer: 100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajp when three letters picked without replacement from ufapdaudaadjauajujja?\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 7285, -12, 0, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2598730198?\nAnswer: 2, 43, 4201, 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 6:59 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1199\/10 - 235\/2. Which is smaller: v or 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*a - 79 = -19, 0 = 3*q - 3*a + 180. Let t be ((-16)\/(-10))\/((-24)\/q). Suppose f = -0*f + t*w + 761, -5*f + 3736 = 3*w. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 1342?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 211, 353, 457, 505, 479, 361, 133, -223?\n\"Answer: -3*x**3 - x**2 + 166*x + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 256078 (base 9) to base 8\nAnswer: 457324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1381 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 10 - (9 - (65 + -32) - 28)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**3 + 436*u**2 - 11624*u + 68640 = 0.\nAnswer: -132, 10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 15*j**3 - 13*j + 3. Let r(k) = -k - 1. Let u = 25 - 22. Let p(n) = u*r(n) + y(n). Find the second derivative of p(q) wrt q.\nAnswer: 90*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -15*b + 6. Let o be j(0). Let k be (-39)\/(-9) - (-4)\/o. Solve 2*z + 0*w + k*w = 4, 0 = -4*z + 4*w + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*g + 8, -3*v - 3*g + 3 = 6. What is the remainder when 17 + v*(1 + -2) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -757, -1512, -2267, -3022, -3777, -4532?\nAnswer: -5287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, a: 2, r: 1}. Give prob of picking 1 a and 1 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 101*b - 136. What is the remainder when a(3) is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l + 13*l + l**3 + 9*l - 29*l - 15*l**3.\nAnswer: -14*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) -647 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000050045 rounded to seven dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 273*q + 2. Let d be 6\/((-18)\/(-15)) - 4. Let y be h(d). Suppose -w = 4*w - y. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00137 rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*c + 2*c = 31, 4*c = 3*w + 7. Let q be 7 + -4 + (2 - (w + 0)). What is the second biggest value in q, -4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b1a (base 13) to base 15.\nAnswer: 1cd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14813417 is divided by 26739?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29876755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/4)\/(7 + 1012\/(-144)). Let p = r - 23. Suppose p*y - 38 = t - 3*t, -5*t = y - 59. Solve t = 5*g - 14 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2714.7 or 0?\nAnswer: 2714.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26420066, -26420069, -26420072, -26420075?\nAnswer: -26420078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.6549 times -6.156\nAnswer: -4.0315644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 498573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - -11011110?\nAnswer: 11010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-7)\/(35\/25). Suppose -u + 360 = s*v, -v - 8*u + 79 = -5*u. What are the prime factors of v?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 250*h - 1958. Give i(8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86096 - 42295. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.87 * -4883\nAnswer: -9131.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203891 is divided by 573?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 4\/3939?\nAnswer: 4\/3939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 3:59 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/(-50) - 2\/(-5). Suppose -7*t + i = -6*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 - 2*h**2 + h**2 + (6 - 2 - 1)*(2*h**2 + 3*h**2 + 3*h**2 + (1 - 1 - 2*h)*(3*h - h + 0*h)).\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 297\/712 - 26\/89. Which is the closest to -2\/5? (a) 2.8 (b) q (c) -5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v = 0. Suppose -2*a + a + 2 = v. Let c(i) = -1 - 3*i**3 - 2*i**3 + a*i**3. What is c(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 4*b - 72. Suppose 3*d = -d - 20, -4*q = -5*d - 313. What is the greatest common divisor of q and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226.0992mg to nanograms.\nAnswer: 226099200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -2335071.5.\nAnswer: -140104.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1587)\/18)\/((-37)\/222).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1053) - -1*sqrt(1053))*-3*2*3)**2.\nAnswer: -5458752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**2 + 16*b - 20. Determine u(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-6) - 16\/(-3). Let l(f) = f**3 - 9*f**2 + 6*f - 5. Let w be l(9). Suppose u*r - w = 5. What is the smallest common multiple of 11 and r?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5188cc (base 15) in base 5?\nAnswer: -1443021432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9473\/4 + 2368. Which is the third biggest value? (a) 3\/7 (b) 767 (c) -4 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 + -164. Let p = r - -57. Let f = p - -40.6. Round f to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.27371 - 28\nAnswer: -28.27371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, x: 5, y: 2, e: 1, z: 5, q: 2}. Give prob of sequence zxqq.\nAnswer: 5\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136*p**4 - 3176*p + 324*p - 10*p**3 - 1809*p wrt p.\nAnswer: 1632*p**2 - 60*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 5*t + 5*r - 15, 5*r = 15. Solve t*m - 4 = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -102\/7, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 - 6*g + 5. What is the units digit of i(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from {e: 2, g: 1, y: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2 - 7*g - g**2 + 2 + 3*g + 2*g**2. What is the remainder when 2\/1 - 30\/(-2) is divided by h(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/15)\/(2\/(-12)). Let t = 8900 + -8905. Put t, a, 2 in descending order.\nAnswer: 2, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 9*l + 14. Let h be m(-10). Suppose -4*u + 268 = h*q, -5*q + 5*u = 2*u - 295. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 225431 (base 7) to base 16\nAnswer: 9d9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -89*c - 17*c - 3508 + 752 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2803 - -4*20\/16. Suppose -2*a - 7*d + 1861 = -8*d, -4*d + y = 3*a. What are the prime factors of a?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2. Let l(f) be the first derivative of -3*f**4\/4 - f**2 + 39*f + 17. Let m(w) be the first derivative of l(w). What is h(m(o))?\nAnswer: -81*o**4 - 36*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/6007102 and 50\/3?\nAnswer: 18021306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*c = -46*c - 345653. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**5\/120 - s**3\/3 + 2*s**2. Let t(a) be the first derivative of p(a). Let w(j) = j**2. What is w(t(k))?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14\/5 + -8\/5. Let t be (42\/(-140))\/((-67)\/(-670)). Let a be 1\/3 + 10\/(-66). What is the third smallest value in l, a, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -33\/8 (c) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2.846754um?\nAnswer: 0.0002846754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 228 = -10*h. Let x = h - 25. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by 3?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4*39\/(-260)*45\/(-3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 22 = 5*o. Let b = 3 + o. Suppose -g - g = -b. Solve 0 = -g*c + 2*c + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h - 100 = -28. Let n be (-6 + 3)\/(1 - (-10)\/h). Let f(j) = j**3 - 2*j**2 + 2*j + 2. Determine f(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.124 - -0.051. Let x = k + -0.018. Let a = x - -0.0910041. What is a rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**4 - 50*j**3 + 115*j**2 + 1200*j - 2880.\nAnswer: -5*(j - 3)**2*(j + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 - 2*d**2 + 2*d**2 + (2*d + 3 - 3)*(-1 + 1 - 16*d**4) + d**5 - d**5 - 3*d**5.\nAnswer: -37*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/2 and 149\/4093440.\nAnswer: 4093440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2267289, -4534576, -6801863, -9069150, -11336437, -13603724?\nAnswer: -15871011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2011170 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uklv when four letters picked without replacement from kbuvkkkbtukbl.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -697*c - 2796. Give b(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 7 - (-10 + 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 209156040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36993881.\nAnswer: 31, 1193351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2538465.93 and 191.57?\nAnswer: 2538274.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 - -72. Suppose c*a - 4188 + 1180 = 0. List the prime factors of a.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/4197 + -25187\/20985. Let m = -0.2 + 0.1. Which is the second biggest value? (a) m (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 15)*(0 + 0 + 5*b) + 3*b - 3*b + b.\nAnswer: 81*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 324957 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2. Let h(a) = -2*a**2 + 3027. What is h(s(w))?\nAnswer: -8*w**4 + 3027","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256424 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**5\/2 + 93*j**4\/2 + 933*j**3\/2 + 2931*j**2\/2 - 468*j - 1512 = 0 for j.\nAnswer: -12, -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 11 (b) -1 (c) -2\/9 (d) 5 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1240\/9 - -1243\/9. What is the closest to t in -60, -0.3, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9416083 and -1725.288.\nAnswer: -9417808.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n = 2*n - 514 + 414 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5.36 and -0.2735468.\nAnswer: -5.6335468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 731314935 divided by 159.\nAnswer: 4599465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7*y**3 + 17*y**2 + 37*y - 21. Let u(m) = -3*m**3 + 8*m**2 + 18*m - 8. Let p(s) = 2*d(s) - 5*u(s). What is p(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -878016, -877833, -877528, -877101, -876552, -875881?\n\"Answer: 61*y**2 - 878077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -18)*(-4)\/30*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1395)\/(-63) + (-4 - 19).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 5:15 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 + 31?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5179, 5182, 5187, 5194, 5203, 5214?\nAnswer: 5227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4171909.\nAnswer: 7, 12163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5177)\/(-1736) - 8\/(-448).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -35*q - 3077. What is z(-89)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1573174?\nAnswer: 2, 786587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 69\/(-4) + (-27)\/36. Let d be (-4)\/h - 4\/18. Suppose -3*b + 4*b = 5*m - 383, -b - 3 = d. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -285677, -571356, -857035?\n\"Answer: -285679*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(6\/5)\/u**0*(((((u\/(u**(2\/11)*u)*u)\/u)\/u*u*u)\/u)\/u)\/(u\/u**(-5)))**(-10) assuming u is positive.\nAnswer: u**(658\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/9)\/((-8)\/6). Let o = 0.032 + -0.012. Let f = o + 2.98. What is the closest to f in 3, 2\/9, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -6. Let y be v\/(-5) - 2\/5. Which is the closest to 1? (a) y (b) 2\/15 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 386 - 26 = 0. What is the greatest common divisor of a and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -3*a + 6, -114*a - 48*a - 2*m = -164 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -114466*q**5\/75 - 14278*q**4\/15 - 2816*q**3\/15 - 16*q**2\/3 + 32*q\/15 - 591. Let c(h) = 0. Calculate h.\nAnswer: -2\/11, 2\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8*(-1)\/((-8)\/(-8)))\/(9\/612).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/19 in 1\/4, -9, 433?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g - 29. Let y be a(-8). Suppose -3*z = -s - 1, -y*z - 4*s + 15 - 19 = 0. Solve -1\/5*f**3 + 0 + z*f**2 + 1\/5*f = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -8, 1\/5, 6, -10, 5\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7300.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 8106 = -9*h - 14*h, 0 = -h - 2*w + 348. Calculate the highest common divisor of h and 8976.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 1. Suppose -5*p = -22 + m. Let n be (18 - 10) + (0 - p). Put -4, n, 4 in ascending order.\nAnswer: -4, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -7*p**2\/2 + 2. Let b(u) be the second derivative of 5*u**4\/12 - 8*u - 5. Give h(b(y)).\nAnswer: -35*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**3 - 1. Let i(b) = 4*b**2 + 2. Let c(r) = -5*r**2 - 3. Let q(u) = 2*c(u) + 3*i(u). Give l(q(h)).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1506 and 8534.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 - 12. Let z = n + -39. Let k = 0.03 - 0.43. What is the closest to 0 in 3, k, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110218 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: 1000201101 (base 3) to base 2\nAnswer: 100111011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.8 + -17. What is the biggest value in -2, t, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x**2. Let j(c) = 12*c + 45. Let s(z) = -30*z - 108. Let t(k) = 12*j(k) + 5*s(k). Give h(t(f)).\nAnswer: 288*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 247*l**3*p**3 + 2*l**3*p**2 - 2*l**2*p**2 + 8*l*p**2 wrt p?\nAnswer: 1482*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70514706*a**2 - 5219178*a + 2?\nAnswer: -141029412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 277135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*x + 2*j, -j = -x + 2*j + 18. Solve 4 = 2*l - 5*c - x, -4*l - 2*c + 2 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**4 - 202*v**3 - 411*v**2 + 24*v.\nAnswer: 72*v - 1212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395612 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 679, 2742, 8337, 19228, 37179?\nAnswer: 63954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.6, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + 6*y + 3*y)*(-3 + 2 - 1)*(-4*y - 2 + 2) to n*y**2 + r + l*y and give n.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4684731767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -5*u**2\/2 - 6*u + 1. Let b(m) = -3*m - 2. Let j be b(1). What is the tens digit of z(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s - 5. Let u(z) = 4*z - 9. Let b be u(4). Calculate the least common multiple of 15 and i(b).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 8:41 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 109253\/(-6870) + 3. Let x = 2\/687 + b. What is the common denominator of x and 42\/11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99620 is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d - 8*d**2 - 3*d**2 + 1 + 0*d in the form t*d + c + w*d**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 4*w - 42, 144*x - 2*w = 149*x + 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**5\/60 + 5*n**3\/2 - n**2. Let j be h(0). Suppose -2*l = 3*l - j. Solve -4*x = -l*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + -2 + -1 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000910604609 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/33 in 1\/7, 4, 43, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/14)\/((j**16\/j)\/j) assuming j is positive.\nAnswer: j**(-195\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -489, -652, -815?\nAnswer: -978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -88*g**4*w**3 + 21333*g**2*w**3 + 275*w**3 + 12496*w**2 wrt g.\nAnswer: -352*g**3*w**3 + 42666*g*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -768680 = 4*c + 2*m, 2865*c - 2869*c = 5*m + 768674. What is c rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Let y = 32 - 94\/3. Let k = -6 - -1. Which is the nearest to y? (a) k (b) h (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37502*q**2 + 12584*q**2 - 4875*q**2.\nAnswer: 45211*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 69.3 (b) -1 (c) -95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -7*c**2 + 567*c**3 + 2 - 568*c**3 + 15. Determine n(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5228813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21\/4 - 6. What is the closest to 1\/4 in k, -5, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.872535 rounded to 2 dps?\nAnswer: 86.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ennxndnexndstnxnn. What is prob of sequence xtt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 60553.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5))**5 assuming a is positive.\nAnswer: a**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 8 = -5. Let w = 0 - r. Factor p**2 - 2*p**2 + p**w + 4*p - 4*p.\nAnswer: p**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 + 2*p + 2. Let s(n) = -n**2 + 30*n - 60. Let c be s(28). Let z(h) = -2*h**2 - 3*h - 1. Determine c*d(l) - 3*z(l).\nAnswer: -2*l**2 + l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.08 - -3.08. Suppose 4*b + 52 + 12 = 3*q, 0 = 3*q. Let s(i) = i + 14. Let y be s(b). Which is bigger: z or y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, i: 4, p: 6}. What is prob of sequence ii?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 17830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) + (sqrt(22) - (2*sqrt(22) - sqrt(22))))\/sqrt(2) + (sqrt(704) - (sqrt(704) + -2*sqrt(704))))**2.\nAnswer: 3179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 4*i = -3*t - 139, 5*t + i + 227 = 0. Let b be (-51 - t)\/(1\/(-1) + -1). Solve -4*m + 2*m**3 - m**3 + b*m - 3*m = 0 for m.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - (sqrt(66) + -1*-1*sqrt(66)))\/(sqrt(12)\/sqrt(64)))\/((sqrt(242)\/(sqrt(44)\/sqrt(4)))\/(sqrt(22)\/(sqrt(2)*-1))).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -10. Suppose c*h - 12 = -2*h. Solve h = 4*f - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 714.9 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5 + 5 = 0. Let j = 1 - s. Let r(l) = 3*l - 3. What is the units digit of r(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + z. Let r(i) = 2*i**2 - 4*i + 10. Let n(a) = -3*q(a) + r(a). Suppose -l - 45 = -43, 3*l = 4*b + 30. Determine n(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 1\/60*g**5 + 1\/6*g**3 + 3*g**2 - 2*g + 0*g**4 + 0. Let w(o) be the first derivative of r(o). What is w(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/9, 17\/4, -0.065?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-2) - -1)*-2. Let x = -4.3 - -4. What is the nearest to 0.1 in x, q, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -8*w**3 - 22*w**2 - 11*w - 371. Let u(o) = 8*o**3 + 24*o**2 + 12*o + 372. Determine -12*s(t) - 11*u(t).\nAnswer: 8*t**3 + 360","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22000 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**5\/20 + r**4\/12 - r**3\/2 + 2*r**2 + r. Let g(c) = 256*c - 5123. Let l be g(20). What is y(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r - 5*r - 2*r**3 + (-2*r + 0 + 0)*(0 + 2*r**2 + 0) - 3*r**3 + 0*r**3 + 2*r**3 + 0*r**3 + 0*r**3 - r**3 - 95*r**2 + 95*r**2 - 2*r**3.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -110, -111, -112, -113?\n\"Answer: -q - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*i**2 + 1)*(3 - 1 + 3).\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2423.5 and 45.\nAnswer: 109057.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 4, 1, 18, -3, -2 in decreasing order.\nAnswer: 18, 13, 4, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38912 and 7806976?\nAnswer: 2048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78302 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5128 and 27256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172361 = 53*s - 43*s - 320609. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -35 + (8 - 16 - (-3 - 12)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-124 + 52 - -56) + (-10 - -1).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from doddbobdddbobbbob?\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*v - 2220 = -7*v. Sort 0, 2, -3, v in decreasing order.\nAnswer: 2, 0, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d + 5*b - 35 = 0, b = 5. Let a(n) = -14*n - 5. Let l(f) = -3*f - 1. Calculate d*a(m) - 11*l(m).\nAnswer: 5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.508 - 382.092. What is x rounded to the nearest ten?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - f. Let g(n) = -9*n**3 - 12*n - 8. Let c(w) = g(w) - 6*h(w). Let i(l) be the first derivative of c(l). Differentiate i(a) wrt a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 174*y - 561. Let w be q(5). Calculate the highest common divisor of w and 1751.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 17*s**2 + 8*s - 10. Let l(f) = 51*f**2 + 23*f - 28. Let z(q) = -11*j(q) + 4*l(q). Calculate the remainder when 94 is divided by z(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 614939 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 6*u**2 - 6*u. Let m be 57\/9 - 5\/15. Let i(v) = 2*v - 12. Let p be i(m). Suppose p = 6*g - 0*g + 30. Calculate z(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 29 + 5 = -3*b, -b = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 966 - 356. Let v = l - 627. Which is the fourth smallest value? (a) 3\/4 (b) -0.3 (c) -0.4 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-21))\/((-113)\/((-5537)\/(-84))).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18370, -36726, -55090, -73468, -91866?\n\"Answer: -x**3 + 2*x**2 - 18355*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17005661 and -5.473.\nAnswer: 17005655.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.875107 millennia to centuries.\nAnswer: 18.75107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 14, k: 5}. What is prob of picking 3 w and 1 k?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -137 + 137.0118. What is a rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6606 and 3711471.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 8 = -3*y - 4*v, y = -4*v. Suppose -39*o + 22*o = 25*o. Suppose y*g + g - 378 = o. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -4. Suppose 10 = 5*s, 3*n - 4*s + 0 - 1 = b. Factor -47*p**n - 5*p - 4 - p + 49*p**3.\nAnswer: 2*(p - 2)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 9:55 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -34, 5, -14, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-8058986)\/(-126) - 74\/(-333)) + 84\/(-196).\nAnswer: 2, 3, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.46 - 0.06. Let h = 28 - 54. Let j = h + 23. Which is the third smallest value? (a) i (b) j (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 61, 84, 107, 130, 153?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 136, -5, 0, 5 in descending order.\nAnswer: 136, 5, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 493 - 501. Sort 4\/5, 1, 2\/3, m in descending order.\nAnswer: 1, 4\/5, 2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 218.\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -418.4 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -4)*4\/2. Let j be h - -4*3\/(-3). Let d be -2*(j\/(-4) - -1). Sort d, 3, 1.\nAnswer: d, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29784 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssollbsebslsluubeuul. Give prob of sequence sbl.\nAnswer: 5\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t**(-1\/2))**(1\/11)\/(t**(1\/4)\/((t**(-1\/4)\/t)\/t)) assuming t is positive.\nAnswer: t**(-25\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -1720?\nAnswer: -1725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1175964 to the nearest integer?\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -3 (c) -4 (d) -9583 (e) 0 (f) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 7:16 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 1:36 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 390 and 494?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 5*s**2 + 4*s + 8. Let p be l(-4). Solve -z + 2*y + p = 0, 3*z - 6 = 2*z + y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26264523.\nAnswer: 3, 89, 98369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 478 = l, -3*q = 4*l - l - 714. Suppose 4*j - v + 20 = q, -5*v = j - 34. Let n = -31 + j. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 175286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 624443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33203301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**5\/z*z**(1\/7))\/(z**(2\/7)*z**(-19)))**(-28) assuming z is positive.\nAnswer: z**(-640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 - 41\/(-5))*5\/3. Let z = -35 + 42. Let y(r) = r**3 - 6*r**2 - 6*r - 5. Let w be y(z). Which is the nearest to j? (a) 9 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4545 - 4543. Solve -f - 3*c = -d, -4*c = 3*f - c - 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 15. Is a less than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*p + 525 = 0, -5*y + 3*p + 93 = 952. Let g = 210 + y. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5 + 4*d**2 - 2 + 7 - 4*d**3.\nAnswer: -4*d**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 14*h + 15. Let t be 1\/(-1)*-2*(-26)\/(-4). Calculate m(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -176\/3 - -54. Is -6 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*c - 42 = -46*c. Suppose 3*y = 2*i, -10*i - 8 = -c*i - 4*y. Let r(l) = 6*l + 6. Calculate r(i).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-260))\/(18\/(-45)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2287627 and 0.1?\nAnswer: 228762.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 51 = 56*k - 61*k, 0 = -k + 2*j - 15. Let c(z) = -2*z + 9. Let w be c(7). Sort k, -6, 1, w.\nAnswer: -6, w, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((4 + (sqrt(320)*2 + sqrt(320))**2 + -3 + -4)*-1 + 1)*-6.\nAnswer: 86280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2275?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*x + p, 8 + 10 = -2*x - 4*p. Let m(r) = -r**2 - r + 1. Let g(y) be the first derivative of y**2 + 2*y + 132. What is x*g(q) - m(q)?\nAnswer: q**2 - q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.1 (b) -1\/89 (c) -0.3 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -3872?\nAnswer: 3871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3704237855 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 605*o - 27307. Calculate s(46).\nAnswer: 523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 32*g - 1. Let q(v) = v + 13. Let u be q(-12). What are the prime factors of x(u)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**5\/7 + 2304*a**4\/7 + 906576*a**3\/7 + 150158720*a**2\/7 + 1285815648*a.\nAnswer: 2*a*(a + 202)**3*(a + 546)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*m = -3*k + 14, k - 16 = -2*m. Let j be 3\/(k\/(-2))*-2. Let u(z) = -11*z**3. Give u(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -139 and 8783?\nAnswer: 8922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-2 + 1 - -2)) + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*y = 9 + 127, 5*c - 134 = -4*y. Suppose -4 = -z + 3*i + c, 220 = 5*z - 5*i. What is the remainder when z is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/5*(-16)\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4\/2 + 77*b**3 + 6347*b**2\/2 - 580842*b - 5425218 = 0. Calculate b.\nAnswer: -81, -9, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1762721625?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 2) + (1 + -4)*21. Let o = 68 + t. Solve -w - 4 = -o*d, -w - 16 = 3*w + 3*d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 96*t**3 - 439*t**2 + 453*t - 13. Give p(1).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*a**2 - 31*a + 31*a)*(3 - 5*a**2 + 3 - 4).\nAnswer: -80*a**4 + 32*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 z when four letters picked without replacement from zbbbbbzbb.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(5) + -4 - sqrt(5)) + ((sqrt(5) - sqrt(20)) + -3)**2.\nAnswer: 11 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j. Let o be c(3). Let p = -3 - o. Solve 0 = 5*a + 15, 4*y + 5*a + 4 - 1 = p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6415624?\nAnswer: 2, 787, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68349 is divided by 62492?\nAnswer: 5857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1431411 (base 6) to base 8\nAnswer: -240137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13578 is divided by 121.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 45*a + 260. Let h be q(50). What is the highest common divisor of h and 1415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -1818604, -2.\nAnswer: -1818604, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -83606*u**3 + 42*u**2 - 25*u + 262910672.\nAnswer: -250818*u**2 + 84*u - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -92662219.2 rounded to the nearest one million?\nAnswer: -93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3\/13 - 1178*c**2\/13 + 30292*c\/13 + 31472\/13 = 0. Calculate c.\nAnswer: -1, 28, 562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*u = -416*u + 10496. Let s(m) = 16*m - 233. Calculate s(u).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - -402 - (80 - 73) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -133855 + 133857. What is v in -15\/7*v - 18\/7*v**d + 36\/7 - 3\/7*v**3 = 0?\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.07 (c) 12 (d) 0.5 (e) 57.67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 266824964 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 8*q**2 - 5*q - 17. Calculate w(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**2 - 13529875*u - 54119580 = 0. What is u?\nAnswer: -4, 2705979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5\/4 (b) 1 (c) -4 (d) 9\/5 (e) 81 (f) 48 (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-3) - (-7)\/21. Let z = -4 + k. Find the third derivative of -4*o**2 + o**z + o**2 - o**3 - 2*o**5 wrt o.\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 10*t. Let s be c(6). Calculate the greatest common factor of s and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3016 is divided by 1576?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + (-1 + sqrt(104)\/(sqrt(8)*3))**2 + 5 + 3 + (sqrt(13) + sqrt(39)\/(sqrt(3)*-1))**2).\nAnswer: -4*sqrt(13) + 134\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*i + 18748484 = -22149648. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10)\/(-16))\/1)\/(25900\/4144).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayuuaeyuayu. Give prob of sequence uuuy.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**3\/3 - 3554*j**2\/3 + 1185*j = 0.\nAnswer: -3555, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/4)\/((-3)\/32). Let g = a - 25. Solve -2*s + g = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(204) + sqrt(204)*-2) + sqrt(204))\/sqrt(12).\nAnswer: 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 412 - 5682 = 0. Factor -16*w + v - 1111 + 557 - 4*w**2.\nAnswer: -4*w*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*(4873*x + 251*x + 95 - 95).\nAnswer: -5124*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -430*c**2 + 4*c - 5665. Let w(s) = -439*s**2 + 6*s - 5664. Let l(d) = -3*u(d) + 2*w(d). Find the first derivative of l(m) wrt m.\nAnswer: 824*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 53778, 215080, 483814, 859896, 1343242, 1933768, 2631390, 3436024?\n\"Answer: -14*z**3 + 53800*z**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + -21. Let h be (-3)\/4 - s\/8. Differentiate 7 - 2*u**h + 4*u**4 - 9*u**4 wrt u.\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b**3 - 11*b**2 + 11*b + 5. Suppose 42 - 154 - 28 = 35*h. What is u(h)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 3*j + 8 + 1, -5*j - 15 = 0. Suppose t = -c + 1 - 0, 3*c = -5*t + 9. What is the second biggest value in 1\/3, c, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7094054?\nAnswer: 2, 11, 43, 7499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (168\/36)\/((-28)\/126).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -293517 or -293425?\nAnswer: -293425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 3:44 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13491, -26975, -40459?\nAnswer: -53943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u + 0 + 0)*(3*u - 2*u - 3*u) + 2*u - 2*u + u**2 - 2*u**2 + u**2 - 8*u**2 + 4*u**2 - 1 + 1 to the form i + p*u + m*u**2 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -60670, -121361, -182042, -242713, -303374, -364025, -424666?\n\"Answer: 5*g**2 - 60706*g + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/5327?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000287 rounded to seven decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3839 - -3841. Let w(x) be the second derivative of 3\/2*x**m + 0 + 2*x + 1\/6*x**3. Calculate w(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 10:03 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2084338 to the nearest integer?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/(-152))\/((-2)\/(4*1))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmaaafmawaammawfm. What is prob of picking 1 m and 1 f?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 7*g**2 - 10*g. What are the prime factors of m(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, e: 6, m: 4, s: 1}. Give prob of picking 2 e, 1 s, and 1 h.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 11*d - 15. Determine f(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -28348*q - 4. Let w(l) = -12*l. What is j(w(c))?\nAnswer: 340176*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/15)*y**5*y*y**(-1\/3)*((y**(-4\/9)\/y)\/y)\/y)\/(((y\/(y\/y**(2\/25)*y))\/y*y)\/(y\/y**(-9)))**(-6) assuming y is positive.\nAnswer: y**(-14272\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 921, 920, 919, 918?\n\"Answer: -z + 922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112.92 - 117. Let a = 0.26 - 0.34. Let c = t - a. What is the second smallest value in -2\/7, c, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-four fifths of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -696 by -58.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 5*x**2 - x - 3. Let p be b(3). Let t = 14 - p. What is the biggest value in -4, t, 1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 j when two letters picked without replacement from {g: 2, r: 1, m: 4, l: 1, j: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 + -307. Let c = t - -395. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 0 + y**2 + 1 - 8 + 0*y**2. Let f(v) = -24*v. What is j(f(p))?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 1:17 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3014331*g*z**3 + 2*g*z**2 - 18864*g*z - 99*g + 2*z wrt z?\nAnswer: -18085986*g*z + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -232*z**2 - 4 - 237*z**2 - 5*z**3 - 218*z**2 - 2*z**4 + 697*z**2 + 0*z**3 + 2*z to the form f*z + x + n*z**4 + v*z**2 + y*z**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n + 2. Let v(j) = -3*j - 3. Let b(g) = 8*c(g) + 5*v(g). Let l be (591\/(-6))\/(10\/(-20)). Let k = 191 - l. What is b(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 1. Suppose 0 = 8*u - 13*u + 10. Let x(r) = -r + 7. Let d(k) = k - 5. Let c(j) = -4*d(j) - 3*x(j). Let a(g) = g + 1. Calculate n*c(f) + u*a(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 2 + 0\/(-1). Suppose 4*d = 5*p + 5 - 31, p + 6 = -2*d. Let w = b - d. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645567 is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1076?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 139564 equal to 837385\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**(2\/3)*i))\/i)**(-9)\/(i**0)**(-1\/7))\/(i**(3\/7)*i**(-4))**(-1\/5) assuming i is positive.\nAnswer: i**(100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24913, 39427, 53941, 68455, 82969, 97483?\nAnswer: 111997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3101330 - 200?\nAnswer: 3101130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 9:43 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 > 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -40. Suppose -2*g - 2 - 3 = -5*v, 5*g - r = -v. Suppose 4*j + 0*t - 10 = -5*t, -13 = -v*j - t. Solve 4*k + 1 = -x, 3*x = -2*x - j*k + 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 894.3026 meters to centimeters.\nAnswer: 89430.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*(-536)\/201?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2553185\/49136 - 52 - (-2)\/32?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3\/4 (b) 7 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 167686949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**2 + 175462064*p + 1924183493946256 = 0. Calculate p.\nAnswer: -21932758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1181778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, o: 1, q: 1, b: 5, p: 3, i: 2}. What is prob of sequence tp?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, m: 3}. What is prob of picking 2 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434*c + 5974 + 3140 = 0 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309130?\nAnswer: 2, 5, 19, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 9*t**2 - 16*t - 14. Let g be l(-7). Suppose -3*u = 12, 4*u = -3*b - 14 - 35. Let p = g - b. Calculate the remainder when p is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1208219 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) -2\/19 (b) 4 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-6) - (-3)\/3. Let p = 0.3 + -1.3. Let s = -92 + 96. Which is the closest to p? (a) r (b) s (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 + -0.3. Let o = 46 - 50. What is the third biggest value in o, 2, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -12*i - 34. Let v be y(-22). Let o = -226 + v. Solve -12 = k - 4*u, 0 = -5*k - u - 1 + o for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -2*b - 2*b - 2, -14 = 2*b + 4*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(85)*-1*3)\/(sqrt(20)*3 + sqrt(5)) + 6*(sqrt(17) + (-1*sqrt(17))**2 + 4 - sqrt(17)) + (sqrt(17) - (sqrt(68) + 2))*5.\nAnswer: -38*sqrt(17)\/7 + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**7\/42 + 139*t**6\/30 + t**4\/12 + 22*t**3\/3 + 146*t - 2. What is the third derivative of s(a) wrt a?\nAnswer: 60*a**2 + 3336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5aa + -9c44?\nAnswer: -9667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**2 - 10*i + 7. Let u(g) = -g**2 - 3*g + 2. Let x(y) = 2*l(y) - 7*u(y). Let t be x(-2). Solve 28 = 5*p - 4*h, 3*p + t*h + 3*h = 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2131 (b) -2 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -56 + 0*3\/(-9). Let b = h + 40. What is the common denominator of -91\/2 and 12 - (-2)\/b*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -180 + 181. Which is the closest to 1\/4? (a) k (b) -74 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and 0.5347.\nAnswer: 0.005347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 19, 38, 65?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 6*b - b + 44, -42*b + 44*b - 11 = -u for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110001 (base 2) to base 7.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100 + 71.6. Let q = l + 31. Let x = 0.6 - q. Sort -0.4, x, 2 in increasing order.\nAnswer: x, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, 23, 69, 133, 215?\n\"Answer: 9*t**2 + t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2*j - 183 = -176, 0 = -m - 4*j + 35 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*m = -20 - 48, -5*x - m + 236 = 0. Suppose -x = -12*u + 9*u. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, y: 6, n: 2, c: 5, j: 2}. Give prob of sequence nn.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-5\/4)\/s**11*(s*s**22*s)\/(s\/(s**(-1\/5)\/s*s*s)) assuming s is positive.\nAnswer: s**(231\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019645863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 67, 124, 165, 184?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 1)\/(0 - 2\/52). Suppose -j = 2*g - 74. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 2*m = -2*q - 29, -5*m = -4*q + 43. Let b = q - -64. What are the prime factors of b?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/3 - 9733*q\/3 - 923738\/3.\nAnswer: (q - 9827)*(q + 94)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091861371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 2. Suppose 3*f - 3*u - 71 = -2*f, 0 = 2*f - r*u - 20. Suppose -2*g - g + 240 = 0. Calculate the greatest common factor of g and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 444 + 88*l + 85*l - 15*l**2 - 173*l in the form q*l + x + v*l**2 and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9.415244 weeks?\nAnswer: 5694339571.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-g + 2*g**3 + g) + (0*g - g + 2*g)*(0*g**2 - g**2 + 3*g**2) + 8*g**3 + 0*g**3 - 4*g**3 + g + g**3 - g.\nAnswer: 11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0032856789 to 5 decimal places.\nAnswer: 0.00329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (25 - (8 + 0 + -5 + 6))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a decade in years?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 11. Let j(g) = 1. Let k(n) = -3*j(n) + r(n). Let s be k(6). Let p(m) = 1 + 7*m**2 - 5*m**2 + 5*m**s. Determine p(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -136*h**4 + 8*h**2 - 5680*h wrt h?\nAnswer: -1632*h**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*r = -949*r + 78*r - 200*r + 61536 for r.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -53700*t + 5316310. Give p(99).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 32 = -5*y + 58, -5*y = 5*o - 130. Suppose 5*h = 23 + y. Calculate the highest common divisor of 81 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 8*y + 8. Let m be l(6). Let z(i) = i**3 + 5*i**2 + 4*i. Let r be z(m). Solve -s + 0*d + 2*d - 9 = r, 4*d = -3*s - 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**2 - 90*d - 11. What is the units digit of w(52)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 15*i**2)*(-1 - 2 + 4)*(52*i - 17 + 17)*(0*i + 3*i + 0*i) to the form z*i**2 + n*i**3 + g + b*i + d*i**4 and give d.\nAnswer: -2340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2. Let o(x) be the third derivative of 311*x**5\/5 + 147*x**2 - 2*x - 1. Give v(o(l)).\nAnswer: -27855648*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j + 24 = 0. Suppose j*k = 5*k. Suppose -3*v - 25 = -2*m, k*m + v = -3*m + 21. Calculate the remainder when 15 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 111697614 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q + 2524*q**2 + 2518*q**2 - 5043*q**2. Let f(a) = a - 1. Give -2*f(k) - l(k).\nAnswer: k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -4\/9 (b) -1.8 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 6 = -4*n. Suppose 0 = s + 5*v + 72, -n*s - 2*v + 0*v - 190 = 0. Let q = -30 - s. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -238481.677 rounded to the nearest ten?\nAnswer: -238480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1670836 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**3 - 4*t**2 + 11641*t + 3*t**2 + t**2 - 2211*t.\nAnswer: -7*t**3 + 9430*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 752*c - 99*c - 12465*c.\nAnswer: -11812*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136677 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 226, 108, 0, -92, -162, -204, -212, -180?\n\"Answer: i**3 - i**2 - 122*i + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, 65, -7\/41 in ascending order.\nAnswer: -1, -7\/41, 6, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 1674.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10785 - -1888.6697?\nAnswer: -8896.3303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 9*s - 44. Let l be j(5). What is the remainder when (-4 - 2)*l*(-91)\/14 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p - 5*p**2 + 3*p + (3*p + 5*p - 4*p)*(1 + 2*p - 1) - 4*p**2 + 4*p**2 + p**2 + 4*p + p**2 - 4*p + (0 + 0 + 2*p**2)*(0 - 3 + 4).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1483 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -14084, -8.7?\nAnswer: -8.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**13)**(-16\/5)\/(i**(-9))**29)**(4\/15) assuming i is positive.\nAnswer: i**(4388\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(13) + (sqrt(13) - (sqrt(13) + sqrt(208) + sqrt(13) + 2)) - (sqrt(52)*-6 - sqrt(13))))**2.\nAnswer: -1296*sqrt(13) + 38052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**3 - 5*g**2 + g + 5 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkkk when four letters picked without replacement from {n: 5, k: 13}.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 4*n - 23, 3*b = b - n - 17. Let w be 51\/15 - (-6)\/(-15) - b. Let i = w + 62. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -j - 2*j - s, -2*j - s + 9 = 0. Suppose 1391 + 677 = j*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 41 + 26 = 0. Let b(g) = -g - 1. Let j be b(-2). Which is bigger: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 1.3. Let j = -19.3 - -15. Let k = j + 4.6. What is the second biggest value in -0.2, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1778822 and -0.03.\nAnswer: 1778821.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-375)\/(-945) - (-3)\/(-27).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 28 = -2*c + 7*c, 0 = -3*c + 5*y + 4. Let g(z) = 2*z**2 + 4*z + 3. Let j be g(c). Suppose -117 - j = -5*w. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -9*g. Let a(j) = -18*j**2 - 5*j. Let t(d) = 18*d**2 + 6*d. Let o(n) = 6*a(n) + 5*t(n). Give r(o(v)).\nAnswer: 162*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1165076 + 381*w**3 + 1165076.\nAnswer: 381*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**4\/12 - n**2. Let b(d) = -14*d + 3. Let j = 102 - 104. Let z(r) = -13*r + 2. Let v(t) = j*b(t) + 3*z(t). What is v(y(g))?\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 221214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (5 + 1 + -7) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*j + 52*j - 228 = -2*w, 0 = -3*w - 4*j - 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/105*1)\/(1\/(-5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1970 - 18423 = 1326*y + 11545 + 2500 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12361948.\nAnswer: 2, 23, 134369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 3:24 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 99*b - 25600. What is w(-118)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) 2 (c) 65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1202760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2. Suppose 16*f + 10 = 42. Suppose -5*m + 4*t = 40 - 1127, m + 2*t - 223 = 0. Let c(y) = 2*y**f + 29*y - m + 219. Determine c(d(q)).\nAnswer: 2*q**4 + 29*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4 + 13164*g**3 - 367416*g**2 + 2569168*g.\nAnswer: -2*g*(g - 6554)*(g - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -837871 - -7.87.\nAnswer: -837863.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**2*j*k**2 + 236*c**2*j*k + 28*c + 2*j*k**2 wrt c?\nAnswer: -2*j*k**2 + 472*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 115854 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*s, -3*j - 26 = -6*j - 5*s. What is the third biggest value in 0, j, -2, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 not equal to -1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 10 - 0. Suppose l*v = 2*v + u + 434, -3*v + 431 = -4*u. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.6 + -0.4. Suppose -4*t + 0 = -4. Suppose -9 = -4*v - t. Which is the nearest to v? (a) g (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*x - 20 = 47*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 2 - (12\/3 + -11).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.31 * 38\nAnswer: 11.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 4.2289.\nAnswer: -1.69156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101100101 + 1?\nAnswer: -1101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2c (base 14) to base 2\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8807.2 + -8807. What is the fourth smallest value in 0.9, 0.6, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/88, 1, 1\/5.\nAnswer: -1\/88, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.085 - 0.415. Which is the closest to 2\/5? (a) -0.1 (b) k (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 506.7 - 506.6996732. What is w rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -12*b**2. Let l(q) = 77*q - 14. Let g(m) = 27*m - 5. Let c(d) = 14*g(d) - 5*l(d). Determine r(c(y)).\nAnswer: -588*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 2:43 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 11*a**2 - 26*a + 287. Determine c(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/6205271 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 - 16*b**2 - 90*b + 8. Let a be n(-4). Is -115 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a micrometer in nanometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/10 + (-136)\/110. Let o = 256\/143 + g. Let m = 265\/6 + -44. What is the closest to 0.1 in -0.1, o, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(-3*i - 4*i - 2*i)*(-2*i**3 + 5*i**3 + 2*i**3 + 4*i**3 + 3*i**3 - 4*i**3 + (-1 - 2 + 0)*(4 + 6*i**3 - 4)).\nAnswer: -180*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p + 51. Let z(o) = 2*o - 34. Let u(h) = -5*v(h) - 8*z(h). Let q be u(8). Let r = -2 + q. Calculate the highest common divisor of r and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155548675?\nAnswer: 5, 439, 14173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g + 20. What is f(10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - (-434)\/48 - -16?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.116, 1\/2, -964, -5, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*a + 2*a + 587 = 0, -3*d - 4*a = -599. Let b = d + -3347\/17. Let h = 9 + -14. What is the smallest value in h, b, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 4*h + 3*h)*(-303 - 110*h + 303).\nAnswer: -440*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from {m: 7, h: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 0. Suppose 2*g = 2*t - 4*t + 4, h*g = -2*t + 6. Suppose 5*l = 2*f + 28, l + f + g*f = 9. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/2)\/1)\/((-280)\/(-224))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**8*x)\/((x\/(x\/(x\/(((x\/(x*x**2))\/x)\/x)*x)))\/x) assuming x is positive.\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -288248 by 263.\nAnswer: -1096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 4) in base 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -1829*l**8\/336 + 779*l**4\/24 + 2637*l**2. What is the second derivative of v(p) wrt p?\nAnswer: -36580*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*x - 1410 = -7286 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -62 > -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -104) + (-32 - (-123 - -101))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 252814821 to the nearest integer?\nAnswer: 15900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 31*y + 7. Let z be r(5). Let d = z - 103. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1727 = -158*l + l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4)*p)\/(p\/(p\/p**6)*p))\/(p**1)**8 assuming p is positive.\nAnswer: p**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7124516*n**4 + n**3 + 2*n**2 + 533*n + 69298 wrt n.\nAnswer: 85494192*n**2 + 6*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/35 - 640\/140. Let i(x) = -x**3 - 5*x**2 - 3*x - 8. What is i(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 3*q - 16. Let h be t(5). List the prime factors of (-3)\/(117\/h) + 5526\/78.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 804369730 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 18 + 2 = k, 58 = 49*x - 51*x - 5*k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5*w = 0, -26 = 5*m + 21*w - 20*w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 5*f - 4, 0 = y + f + 11 - 3. Let o be y\/(6\/(2 + 1)). Let t be 0\/o*(-4)\/(-4). Solve -2*w + m + 3 = 0, m = 4*w - 1 - t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, e: 6, j: 2, g: 1}. What is prob of picking 1 j, 1 g, and 1 e?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6818.278 kilograms to tonnes.\nAnswer: 6.818278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 12*m**2 - 21*m - 22. List the prime factors of x(-13).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**1)**39\/(i*(i*i**(3\/5)*i)\/i*i**2) assuming i is positive.\nAnswer: i**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3 = d - 2, 4*d + f = 20. Suppose -d*n + 12 = -8*n. Let z(b) = b**2 + b + 3. Is z(n) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 144*f + 20*f - 16*f in the form h + k*f and give k.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 0 + 4*q + 2\/21*q**3 + 0*q**2 + 1\/42*q**4. Determine a so that d(a) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d + 3*d - 41 - 4*d. Let o(t) = -t + 14. Let s(l) = -4*k(l) - 11*o(l). What is the units digit of s(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -0.02 (c) -4 (d) 109\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 249\/(-15) + (-6)\/(-10). Let a be (18\/124)\/((-3)\/k). Let c = a - -3071\/558. Find the common denominator of c and -31\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*i = -56*i - 2. Let j be (2\/7 + 6\/(-21))\/i. Solve 4*p + t = 4*t + 19, 3*t + 3 = j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-7 + 7 + 18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -26 + 21 - 21?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20 or -101.2?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 7*i**2 - i + 10. Give j(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1850, 3, -1\/3, -6, -12.\nAnswer: -1850, -12, -6, -1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**6\/120 + y**5\/15 + y**2. Suppose 26 = 4*u + 14. Determine h(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 397839955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/(-20))\/(1\/(-5)). Calculate the least common multiple of (y\/(-10))\/((-2)\/(-10)) and ((-16)\/10)\/(4\/(-20)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/157)\/s*s**(-1\/17))\/(s*s**(-16\/9))**(2\/17) assuming s is positive.\nAnswer: s**(-22930\/24021)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.71 less than -524471343?\nAnswer: -524471343.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1 + (2 + 3 - 3)*(-3 - 2 + 3) - 3 + 0 + 1)*(-35*h - h - 63*h) to the form i*h + u and give i.\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 6*m - l = 4, -5*m - 5*l - 20 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiieiiiiiee. What is prob of sequence ie?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 6*m**2 - 3*m + 1. Let u be b(-6). Solve 4*q - 5*a + u = 0, -5*q + 2*a = a + 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206 - 94 = 101*h + 1829 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*h**2 + 107*h**2 - 27 + 291 - 218*h**2.\nAnswer: h**2 + 264","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j**3 - 516*j - j**2 + j**3 + 512*j to the form x + d*j**3 + u*j**2 + k*j and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1244?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/910 and 87\/22?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 7\/4, 0.07, -56\/15, -6, 0.4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = -26*j + 6855. Is j a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3964332971.\nAnswer: 36571, 108401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2*n = 0, -3*n - 10 = 3*k + 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 0, 4 in descending order.\nAnswer: 4, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 245 - bbbcb?\nAnswer: -bb986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 16*x + 50 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 1. Let s(i) = 1. Let g(t) = -t**3 + 2*t**2 - 2*t + 2. Let n be g(2). Let p(l) = n*v(l) - 3*s(l). Let m be (21\/14)\/((-6)\/(-8)). Determine p(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4787, -5134, -6069, -7886, -10879?\nAnswer: -15342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.830189791 rounded to 3 decimal places?\nAnswer: -4.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 10\/9*g**4 + 64\/3*g**2 + 56\/9*g + 14*g**3 = 0.\nAnswer: -1, -2\/5, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-60)\/(-50))\/(8\/20). Solve 5 = 2*n - 3*l, -z*l + 5*l - 15 = 5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1129 = 8*x - 1263. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.9 - 0.1. Let z = t + 17. Let b = -9.96 + z. What is b rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108480 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 9 + p - p. Let q be s(5). Find the second derivative of 3 - 3 + b - b**q wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 3*v**4\/4 - 2*v**3\/3 + v + 1. Suppose -3*o + 19 = 4*h, -5*h + 86 = -o + 67. Calculate s(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-6)*c*c)\/c**23)\/(((c\/(c*c**(1\/3)))\/c)\/c*c**(-3\/26)))**(-40) assuming c is positive.\nAnswer: c**(36740\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1925*v**2 + 0*v - 8*v + 19*v.\nAnswer: 1925*v**2 + 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 6:15 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28539a (base 11) to base 10.\nAnswer: -446357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 368 and ((-1258)\/(-153))\/((-4)\/(-36)) - 5*1?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 9*n - 10. Let x(b) = 2*b**2 - 17*b - 19. Let t(v) = -5*f(v) + 3*x(v). Suppose -d = -83 + 76. Let i be t(d). Solve i*c = c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-2 - (3 - 3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -29. Suppose o - 10 = -3*g. Let m(p) = p - 7. Let x(a) = 1. Let q(c) = -4. Let l(w) = 2*q(w) + 9*x(w). What is g*m(z) + 6*l(z)?\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * -0.332868.\nAnswer: 0.02662944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - -12 - 7 - (1 - 0).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**5\/60 + 7*d**4\/24 + 4*d**3\/3 + 4*d**2. Let y = -4 - 2. Calculate a(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + f = -18, 4*f - f + 44 = 5*h. Suppose -t - t = h. Let p(c) = 3*c - 8. Let s(m) = 2*m - 6. Let n(k) = 3*p(k) - 4*s(k). Give n(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478 take away -3.8?\nAnswer: 481.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2*(-2)\/(-380)). Let b = 135 - 126. Suppose b + 29 = 2*r. What is the greatest common factor of y and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 - (2 - (57581 - -12)). Round r to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 1 - 36 - 23 + 16)*(-41*u**2 - 6592 + 6592).\nAnswer: 3198*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5809\/1548 - -1\/387. Which is the closest to 0.1? (a) m (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + -8d?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 5*m = -15, 3*o + 1599 = -2*m + 1590 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 357 divided by -119.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-12))\/(4\/18). Suppose -19 = -8*u - p. Let x = 29\/70 + -3\/14. Which is the biggest value? (a) x (b) 4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - -0.1. Let c = -195043\/11610 - 1\/2322. Let n = c + 17. What is the closest to 1 in d, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 42, 273, 662, 1215, 1938, 2837?\n\"Answer: s**3 + 73*s**2 + 5*s - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 6646052 and 6646052 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j + 5. What is z(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 26*z = 2. Let n(o) be the first derivative of 2 + 2\/9*o**3 + 5\/12*o**4 - 2\/3*o - 5\/6*o**z. Find a, given that n(a) = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3323*z + 6 + z**2 - 3366*z + 1 - 6*z**2 + 7*z**2 to the form l*z + f*z**2 + r and give l.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 3, 45, 2, 104 in descending order.\nAnswer: 104, 45, 4, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 9*w - 9. Let i be d(7). Suppose f + 7 = -2*r, -3*f - f - 23 = 3*r. Sort 3, r, i in increasing order.\nAnswer: r, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1031, 2116\/5, -14 in increasing order.\nAnswer: -14, 2116\/5, 1031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3635*n**2 - 72707*n - 36. Determine c(-20).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 - 2460 = -11*z. Suppose -z = -3*r + 95. What is the greatest common divisor of 81 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/1)\/(1 + -2). Suppose -w + s = 2*w. What is the highest common factor of w and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522 = 162*q + 1918 + 1456 + 1846 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/7, 2, -5, 2\/5 in descending order.\nAnswer: 2, 2\/5, 2\/7, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20320 and 254.\nAnswer: 20320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 + 167*p**4 - 45*p**4 + 107*p**4 + 78*p**4 - 808*p wrt p?\nAnswer: 3684*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1331.446 + 1.554. Let w = o - 1324.53. What is w rounded to 1 dp?\nAnswer: 8.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 4:11 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -929 - -7b?\nAnswer: -8ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1354 + -1496. Let z be (-706 + -7)\/(0 + 5). Let r = t - z. Sort 0.2, -0.1, 0.3, r in ascending order.\nAnswer: -0.1, 0.2, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 24*r - 722. Calculate m(32).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/2 + 45\/(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3848*f**2 + 51640825 - 51640825.\nAnswer: -3848*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 142, 6, -0.06, 0, -0.5, -5, -1\/29?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -173288 not equal to -175311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1208.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 z when three letters picked without replacement from izziizzz?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 3*y**2 - 8*y - 13. Let a be x(-5). Let g = a + 21. Does 9 divide 4 + 38*-1*g + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -10, 0.01, -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 3*u**2 + 8*u - 7. What is c(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 + 355 + 40 - 135.\nAnswer: -d**3 + 260","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-15)*-1*5\/(-9).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 + 5*n - 48. Give u(6).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 0*g - g)*(2 - 2*g**2 + 3 + 9*g - 4).\nAnswer: 10*g**3 - 45*g**2 - 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 39.3. Let u = k + -41.3. Is u not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(6 + 5))\/((-1546)\/(-86) - 18)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -0.361750928\nAnswer: 3.638249072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 10*l**2 + 7*l + 11. Suppose 79*u - 84*u - 46 = -2*p, -u - 5*p = 20. Give r(u).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 4:32 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -82*n + 168. Let k be s(2). Let b(a) = 4*a**2 + 1. Let y be b(-1). Suppose -2*u = d - 372, 4*u + 195 = y*u - k*d. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 + 38. Suppose n*v + 4*k = 3*k + 9, -v - 9 = 4*k. What is the smallest value in 12, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 169, -2, -1, 5, 4 in decreasing order.\nAnswer: 169, 5, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from ddyyydy.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18\/17*t + 16\/17 + 2\/17*t**2 = 0. What is t?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 23*f + 29. Let m be 0\/(20\/5) - -5. What are the prime factors of v(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**4\/48 - 11*z**3\/3 - 87*z**2\/8 - 49*z - 1. Factor c(q).\nAnswer: -(q + 1)*(q + 87)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 1 + 0)*(-3 + 1 + 0) - 340 - 557 - 558)*(2 + 4*z - 1 - z) to the form w + a*z and give a.\nAnswer: -4377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 201924 and 269232?\nAnswer: 807696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + r - 7. Let j(m) = -5*m**2 - 6*m + 36. Let t(h) = -2*j(h) - 11*v(h). Give t(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -42997, -172021, -387075, -688159, -1075273?\n\"Answer: -43015*y**2 + 21*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/24)\/(1782\/(-1056))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r**2 + r + 2. Let x be i(-2). Let b = x - -120. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*r - 133*r. Let u(o) = o**3 - 2*o + 5. What is u(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*u - 1, 2*k = -k + u. Let y(b) = 2*b**3 - 4*b**2 + 8*b + 6. Let n(q) = -q**3 + q**2 - 2*q - 1. Let z(g) = k*y(g) + 3*n(g). Determine z(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 3) to base 10\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 112211\/6 - 8981287\/480. Let p = r - 39\/32. What is the common denominator of 61\/10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 50*l**2 + 81*l - 751. Give j(-48).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2244*t - 22414. What is s(-10)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3753669029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/6*7\/((-42)\/(-45)). Let x be ((-16)\/(-30))\/(20\/n). Factor -x + 2\/3*y + 2\/3*y**2.\nAnswer: 2*(y - 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 20*t**4\/7 - 1088*t**3\/7 + 2224*t**2\/7 + 14720*t\/7 - 29952\/7 = 0.\nAnswer: -18\/5, 2, 4, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from orihih. What is prob of picking 2 i and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 311535.8463 to the nearest one hundred.\nAnswer: 311500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*m**5 + 5*m**5 - 38*m**5 + (0*m**4 + 25*m**4 + 2*m**4)*(-2*m + 3*m - 3*m).\nAnswer: -71*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/5 in 722, 50, -0.037?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22588.608s to minutes.\nAnswer: 376.4768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.486809nm in centimeters?\nAnswer: 0.0000003486809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + (17 - 11))*1. Solve -5*i - y = 2*k - i, 0 = 5*k + i + 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-7)\/(-2)*(-8)\/(-56)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + k = -3*k + 25926, k + 103636 = 4*o. List the prime factors of o.\nAnswer: 2, 5, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 1\/9, -806.1 in descending order.\nAnswer: 1\/9, -11, -806.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f + 10. Let l(t) be the second derivative of t**2\/2 - 259*t. What is -i(n) + 3*l(n)?\nAnswer: 2*n - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*g + 79*g - 174. Suppose -3*y - 5*j + 23 = 0, 3*y - g*j = 27 - 12. Solve -y*i + 3*i = 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/6*6 + 1. Suppose k*j + 4 - 13 = 0. Solve 0*u**5 - 6*u**5 + u**5 + 2*u**5 + 3*u**4 - 3*u**2 + j*u**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1647310325 to the power of 1\/3, to the nearest integer?\nAnswer: 1181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 - 8*p - 6. Let k(b) = b**2 - 4*b - 3. Let z(a) = 5*k(a) - 3*r(a). Let f be z(4). Suppose 6*o - 24 = f*o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -252 + 429. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 36 = m, 0*m - 4*m = -2*u + 24. Suppose 11*b = 7*b + u. Let d(w) = -w + 2*w**3 + 0*w**3 - 4*w**b + 9 + 3*w**3. Calculate d(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 100 - 58. Suppose c + 6*c = x. Solve m = -m - c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 0*h + 16119 + 17485 - 7*h.\nAnswer: -6*h + 33604","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004839 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*z + 17 = c, 5*c = z - 24. Let k = 7 + c. Let i = 25 + -23. Solve 8 = -4*r, i*w + k*r - 3 - 3 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -495 + 472. Let i = 258 - m. List the prime factors of i.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 10 - 169\/(-52)*-4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1289 or 1291?\nAnswer: 1289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51 * -0.6.\nAnswer: 30.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 0 + 2*h**2 + 3\/2*h**3 + 0*h + 1\/24*h**4. Let s be n(-9). Do 2 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3768, 3764, 3760?\nAnswer: 3756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + l. Let o(h) = h**3 + 2*h + 1. Give -3*o(b) + 2*z(b).\nAnswer: -b**3 - 4*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 145684768*h**3*q**3 + 4*h**3*q**2 + 3*h**3*q + 9*h**2*q**2 - 194*h*q + 160*q wrt q.\nAnswer: 874108608*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**5\/12 + 5*z**4\/8 + 332*z**2. Factor f(g).\nAnswer: -5*g*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/5, -5, 2\/3 in ascending order.\nAnswer: -5, -3, 1\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-70)\/(-4)))\/(240\/280)*10434\/94?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1141 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7\/3 (b) -1.7 (c) -3\/2 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 13*t - 19. Let r be q(8). Let s = 24 - r. Let c(k) = k**2 + 12*k**3 - 1 - 4*k**s - 10*k**3. Calculate c(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**4 + 5*f**4 - 8*f - 3*f**4 - f**3 - 4*f**4 in the form z*f**3 + r + o*f**2 + q*f + n*f**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 12*i - 21. Let z(p) = 2*p - 6. Let h(x) = m(x) - 5*z(x). Let u(a) = -a**2 + 3*a. Let n be u(5). Give h(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -17, 1, 18, -127, 9.\nAnswer: -127, -17, 1, 2, 9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 96?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -376*f - 34. Let c be b(-29). Is (-14)\/(6502\/c - 12\/20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78 - -94. Suppose -9*k = -u - 20. Suppose -2*g - 3*w + 216 = -28, w - k = 0. List the prime factors of g.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*u + 175. Let h be -24 - (-5)\/10*2. Let b = h - u. Solve -15 = w - 3*a, -3*a = w - 3 - b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 5*n - 3. Let j be l(2). Find the first derivative of -5 - y**j - 4*y**3 + 3*y**3 wrt y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cfhhfghpchhhgvvvfvc. What is prob of picking 3 h and 1 v?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 11*c - 4. Let f be p(-11). Let j = f + 6. Which is smaller: -2\/9 or j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 645248 * 0.071.\nAnswer: 45812.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 6*d + 18 = 2*a, 0 = -3*d - 3*a + 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*p + 18648 + 47808. What is the remainder when p is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from rqqqqrrqqrqrqqqq.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (306\/60)\/(24\/32)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2746.2 - 2750.2. What is the second biggest value in q, 3, 2, -3, -447?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 9, -1\/180513 in decreasing order.\nAnswer: 9, 1\/4, -1\/180513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/6*2\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.8 * -33425.\nAnswer: -327565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38862*o**2 - 35231*o?\nAnswer: -77724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2. Let f(i) = 155*i. Suppose 2*j + g - 10 = 0, -j - 5*g - 22 = -3*j. Let t(k) = 11*k. Let y(d) = j*f(d) - 85*t(d). Give w(y(l)).\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t - 5*u = -23730, 14233 = 3*t + 2*u. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43877 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/12)\/((-2)\/(-9)). Is 6 a factor of (y\/(-4))\/((-2)\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -1351?\nAnswer: -1349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10161 + 10141. What is the biggest value in 2\/11, 1, f, 1\/4, -0.06?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*d**2 + 0 - 2\/7*d.\nAnswer: 2*d*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-3))\/(2\/(-30)). Suppose -c + 23 = d. Suppose -5*w - 2 = c. Let r(u) = -u**2 - 6*u - 5. Give r(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 169*t**2 + 4077*t + 18185. Determine q(-141).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 18 = -0*x + q, -2 = 4*x - q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 7*f + 2. Let x = -3 + -3. Let t be y(x). Let l(k) = -8*k - 1. Is l(t) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 3, 5, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-2*q**2 + 2 - 2) + q**2 + 2*q**2 - q**2 - 3.\nAnswer: 4*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lttllttlttllllllll. What is prob of sequence ll?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4774 is divided by 169.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98248.19nm to centimeters.\nAnswer: 0.009824819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -54947.02 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 47 + -3b7a?\nAnswer: -3b33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94966 or 94961?\nAnswer: 94961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -299378, -598763, -898146, -1197527?\nAnswer: -1496906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20a5 + 6?\nAnswer: -209c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16824 is divided by 107?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -93795 divided by 31265?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 - 5678018*l\/3.\nAnswer: -l*(l + 5678018)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 732 divide 54927933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -8\/9, -1, -551?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30675.3 rounded to the nearest 1000?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6096109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3608072 divided by -13\nAnswer: -277544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/2)\/5)\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1960 and 210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 0.3 (b) 2 (c) -1 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 4*u - 1. Let a = -430 + 429. What is t(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.289316 to four dps.\nAnswer: 0.2893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -246, -23, -1, -5, 5 in increasing order.\nAnswer: -246, -23, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 4) in base 11?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -9*q**5\/2 - 10098*q**4 - 3891497*q**3\/2 + 1960341*q**2 + 864778*q - 869268 = 0.\nAnswer: -2031, -214, -2\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.57934 rounded to one dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 0*c + 18*c - 3*c. Let f(v) = 2*v**2 - 3*v**2 - 613 + 613. Give j(f(p)).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -655.99999539 - -656. What is h rounded to seven decimal places?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 5. Let z be a\/(-2) + 105\/6. Suppose -z = -2*r + 5*p, -3*r - 5*p + 36 = -2*p. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 2*n**2 + 2. Give c(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2. Suppose -2*l = 3*u - 14505, u = -5*l - 4*u + 36265. Let w(c) = 512*c - 7254 + l. Determine k(w(x)).\nAnswer: 524288*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 51 (base 10) to base 11\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 8:19 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5063395, 5063358, 5063297, 5063212, 5063103, 5062970, 5062813?\nAnswer: 5062632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -12. Suppose 5 - 25 = -z*l. Solve -1\/3*m**5 + 0*m**l + 0 + 0*m + 2\/3*m**4 - 1\/3*m**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*l**4 + 174*l**4 - 3434 + 3435 + 2*l**3 in the form i*l**4 + f*l**3 + n + u*l + q*l**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 2*o - 43. Let a be f(7). Suppose 0 = -6*y + 2*y + 28. Suppose 0 = -g + y*g + 42. Which is smaller: a or g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 18*c**2 - 44*c + 9. Let y be k(-15). Let s(u) be the third derivative of u**5\/60 + u**4\/4 + 5*u**3\/6 - 2*u**2. Give s(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*n = -26*n + 82 + 89 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from {c: 5, p: 2, l: 2, w: 2, o: 1, e: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -37*q + 42*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 - -34. Is z a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121.251 - -2.118?\nAnswer: -119.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 15*a + 33. Give g(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -165976 divided by -20747\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*10*15280\/23875?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2\/15 (b) 0.4 (c) 0.93 (d) 0 (e) -4 (f) 2 (g) -1.22\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 6*h**2 - h - 5. Let r be w(-5). Suppose j + 10 = r. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/23 (b) -2\/11 (c) 2\/9 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7441? (a) 2\/11 (b) -57 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.26 * 39.3.\nAnswer: 10.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730859.\nAnswer: 503, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smmsmsssmmmss. Give prob of sequence mmms.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**5\/100 - n**4\/20 - n**3\/10 + 11*n**2. Suppose p(g) = 0. What is g?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2613190 minus 0.48?\nAnswer: 2613189.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, 3, -7708 in decreasing order.\nAnswer: 9, 3, -3, -7708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1788 and 97\/36?\nAnswer: 5364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87276 and 325612?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 - -152. Let l = -82 + d. Suppose l*t - 28 = 10*t. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(-9) - 18\/27.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49751 = 1213*r - 34864 - 1375 - 14689 for r.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 5*s + 1. What is g(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1395*s + 2885*s - 1506*s.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**3 + 10*d**2\/9 + 112*d\/9 + 8\/3 = 0. Calculate d.\nAnswer: -3\/2, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g**3 - 13*g**2 - 19*g - 129. Let w be o(-8). What is the third biggest value in 0.3, w, 3\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 20 = -4*w. Let j be ((-231)\/(-6) - 4)*(-16)\/w. Calculate the lowest common multiple of (j\/30*-3)\/(4\/(-10)) and 6.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 384 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 6:36 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 25 = 4*r + 27, 669 = 5*g + 2*r + 635 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -10*q - 61. Determine j(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1384 + 741 - 2011*q**2 + 643 to g*q**2 + b*q + a and give g.\nAnswer: -2011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 1)*(57*q - 17*q - 10*q)*(-1 + 3*q - 2 + 1).\nAnswer: 270*q**2 - 180*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - 46. Suppose -4*x = -m - 17, -t*x + 4*m + 11 = -13. Solve x*q - 2 = 6*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8372598917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5762.\nAnswer: 2, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5409454345 to the power of 1\/3, to the nearest integer?\nAnswer: 1755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1140 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -50, 0.3, 299?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3924*p - 1364.\nAnswer: 3924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.8, -0.5, 3, -14016?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4176)\/32)\/29*(-4)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10501 (base 6) in base 13?\nAnswer: -898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.8 + 0.2. Let y = n + 13.5. Let s = y + -2.9. Put s, -0.1, -3 in ascending order.\nAnswer: -3, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 o, and 1 p when four letters picked without replacement from {p: 1, o: 3, y: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f - 3696*f**2 + 3695*f**2 - 3*f + 5 - f. Determine k(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -47, 4, 0.02.\nAnswer: -47, -1, 0.02, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**3 + 3*n**3 - 64*n + 20*n**2 - 45*n - 43*n + 149*n in the form v*n**3 + s*n + u*n**2 + o and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/1329150 and 61\/282.\nAnswer: 62470050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3\/5 + 164*s**2\/5 + 224*s + 2112\/5.\nAnswer: 4*(s + 4)**2*(s + 33)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -36 + (-8)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 46 = -5*k, -4*k + k + q + 28 = 0. Suppose 0*n = 3*n + k. Sort n, 0.3, 3, -4 in increasing order.\nAnswer: -4, n, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11404 + -7944. Suppose 26*n = 36*n - x. What are the prime factors of n?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 - 29*i + 18. Calculate d(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + l + 3*n = 2, -5*n = -2*l + 3. Is l at most as big as -18\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 25.945. Let o = b + -1.015. Let g = -0.04 + o. Put 2, g, -1\/6 in increasing order.\nAnswer: g, -1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -1\/4, 68, 1.44?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 262238623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.09679 to three decimal places.\nAnswer: -0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*7956\/2496*(-48)\/(-18)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105*r - 73*r + 24*r)*(3*r + 0*r - r)*(-7*r - 8*r + 4*r).\nAnswer: 3388*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204274 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**3 - t**2 - 2*t + 9. Let b be v(5). Let d = b - -4408\/11. Suppose -2*u = u. Which is smaller: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 3. Let x(j) = -j**2 + 3*j + 16. Let q be x(d). What is the third derivative of w**6 - w**6 - 8*w**q + w**2 + 4*w**6 wrt w?\nAnswer: -480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*a - 6570 = -106*a. Solve -a*g - 9 = -2187*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-4)*(-860)\/(-15). Let k = b - -133. List the prime factors of k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000519694 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43829 and 1025?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(4032)*-2 - sqrt(4032))*4 + sqrt(4032))\/(sqrt(324) + (sqrt(324) + sqrt(324) + -2*sqrt(324) + sqrt(324))*-2).\nAnswer: 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/46 - 510\/(-3128).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -216, -5, -3\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 14\/182 + (-77)\/(-13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 6*j**2 + 2*j + 5. Suppose 0 = 5*a + 99 - 4. Let g = a + 13. What is u(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3)*x)**7*x**(-2\/5)\/((x\/(x*x**7\/x))\/x) assuming x is positive.\nAnswer: x**(274\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 - -82. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/227 - 3855\/454. Suppose -206 + 1190 = -4*o. Find the common denominator of l and (-1 + 2)\/((-84)\/o).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/5915 and -59\/273.\nAnswer: 17745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (7890\/35505)\/((-4)\/(6*66))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 5) in base 8?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -14*((-3)\/30 + (-222)\/(-1020))\/(-2). Factor x*w + 12\/17 + 2\/17*w**2.\nAnswer: 2*(w + 1)*(w + 6)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + -1320?\nAnswer: -1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 0, -6*n = 5*o - 3*n - 20. Suppose 5*t - o*d = -2, d + d - 10 = -2*t. Factor 0 + 0*c**t + 2\/9*c**3 + 2\/9*c**4 + 0*c.\nAnswer: 2*c**3*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1202617, -0.4, -6?\nAnswer: -1202617","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + (-1 + 0 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 23*n**2 + (-n - n + n)*(-2*n + 2 - 2))*(5*n + 2 - 3*n - 3*n) to the form j*n**2 + i*n**3 + m*n + g and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*y - 6756, 6*n - 2*n = 5*y - 8451. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 5*y + 37, -312*y - 13 = -299*y + 4*n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2015857 is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -620 - 12*x + 620.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 363691295 to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-6))\/(-2) - 7750\/930.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 114 + -98. What is the greatest common divisor of 32 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2383*j**3*k**2 + 1791*j**3*k wrt k?\nAnswer: 4766*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5\/2)\/(t**(2\/13)*t))**(2\/9)\/((t**(-1\/2))**20\/(t**(1\/3)\/t)**(2\/19)) assuming t is positive.\nAnswer: t**(20269\/2223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3721 by 5.\nAnswer: 3721\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 - -72. Let j(t) = -t - 2. Let z be (3\/((-3)\/5))\/1. Let v(l) = -1. Determine u*j(o) + z*v(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 155, 2\/3, 5 in decreasing order.\nAnswer: 155, 5, 2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wii when three letters picked without replacement from {w: 2, p: 1, i: 4, f: 2, y: 2, t: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 21 - 5. Let h = p - -17. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102.7 + 1155.2.\nAnswer: 1052.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 = 84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 37 + 1\/((-2)\/38).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6*d - 2*d + 1 + (d - 3*d + 0*d)*(0 - 1 + 6))*(-2 + 6 - 1).\nAnswer: -18*d + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -3815448?\nAnswer: 1\/953862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 take away 144198937363.6?\nAnswer: -144198937364.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45181*q - 91853 = -37721 + 126592 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9728088 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**4 - 257816683*l**3 - 1411758*l**2 + 4*l + 1.\nAnswer: 48*l - 1546900098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 9 = -4*k, -4*g + k + 18 = 0. Suppose 8*b = 2*b. Solve 0 = 3*w + m - 3 - 4, b = g*w - m - 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**6\/720 - l**5\/60 + l**4\/6 - l. Let m(t) be the third derivative of o(t). Determine m(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -12. Which is smaller: h or 0.9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 653 + -417. Let f = x - -589. Does 33 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 8:00 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.3236289 rounded to 2 decimal places?\nAnswer: 126.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 17.4. Let z = 1.6 + f. Let n = 745 + -749. Sort 3, 0.2, z, n in ascending order.\nAnswer: n, z, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnfnmnnnwiwncmcn. Give prob of sequence cf.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -6 - (36 - -11 - 58)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 + 51*m - 136. Let o be k(22). Solve 0 = -o*w - 28 - 44 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-5 - -5) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 341 - 285. Which is bigger: x or 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -588, 2\/7 in decreasing order.\nAnswer: 2\/7, 2\/9, -588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27394, -29113, -30832?\nAnswer: -32551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2253652 - 2253671.99994. Let d = -20.101 - -0.101. Let v = d - g. What is v rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 14*j**2 + 154*j - 52. Is q(-33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 53*l**5\/6 + 7*l**4\/2 - l**3 - 433*l**2. Find the second derivative of z(f) wrt f.\nAnswer: 1060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2237, 0.07, -1.14, 2, -0.3, 5 in increasing order.\nAnswer: -2237, -1.14, -0.3, 0.07, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3958956 divided by -439884?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/21)\/((g\/(g**(9\/10)*g))\/g))\/((g**38\/g)\/(g**(3\/17)\/g)))**(1\/28) assuming g is positive.\nAnswer: g**(-128587\/99960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -414312 divided by 3?\nAnswer: -138104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**5\/60 + a**4\/24 + 5*a**3\/6 - a**2. Let o be u(0). Let f = o + -3. Solve -f*t + 10 = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 2 - 4. Suppose -k + 35 = -g, -l*k - 2*k = 3*g - 183. Calculate the greatest common factor of k and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 45*a - 431. Let l be w(-17). Solve -l = -19*o + 28*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s + s**2 + 152 - 4*s - 156. Suppose -4*r - 18 = -2*r. Is v(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 51*h + 2. Let a be o(2). Find z, given that -12*z**3 + 3*z**4 - 12*z + 30*z**3 + 27*z**2 + 68 - a = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - (-66 + 7 - (-216 + 150))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -44348484?\nAnswer: -1\/3695707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12.85, -9, 0.4.\nAnswer: -9, -5, 0.4, 12.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a minute in milliseconds?\nAnswer: 16800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2 = -14. Let n(l) = 5*l**2 + 2*l + 6. Let j be n(f). Round j to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7523711 divided by -86\nAnswer: 7523711\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30*n**4 + 23*n**4 + 37 - 14*n**4 + 35*n**4 wrt n?\nAnswer: 296*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4277.9 - -4278. Which is the nearest to -9? (a) i (b) 4 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h - 3. Let f be -3*5\/(-30)*-8. Calculate r(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -432914, -432917, -432920, -432923, -432926, -432929?\n\"Answer: -3*y - 432911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/6)\/(-6))\/(5\/20).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*1\/(-4)*6. Suppose 3*k - 4*l = -k + 84, -l = -5*k + 125. Solve -2*u = -5*w - k, 2*w + 2*u + 14 = -i*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/72 and -5\/2344.\nAnswer: 21096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 87*u. Let x(r) be the first derivative of r**3\/3 - 952. Give x(n(t)).\nAnswer: 7569*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133 or -131?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 185 (c) -4 (d) 4 (e) -2 (f) -0.01 (g) -101\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*-1)\/sqrt(5)*-5)\/(sqrt(175) + 5*2*sqrt(175)).\nAnswer: sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 84*a - 146*a + 41*a + 37*a.\nAnswer: 16*a + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 + 3*l**4 + 0*l**4 + (-7*l + 7*l - 4*l**3)*(-2*l - 4 + 4) + 0*l**4 + 2*l**4 - 2*l + 174 - 171 - 5*l**2.\nAnswer: 11*l**4 - 5*l**2 - 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 353122.1 rounded to the nearest 100?\nAnswer: 353100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 423.3385 to the nearest ten.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/3 and -59\/375.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1713\/(-2)*20\/(-30). Suppose 4*c + 4*s = c + u, -s = -4. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 5*k - 3*o - 5, 0 = 5*k + 5*o - 5. What is the remainder when k is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584218106 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in 4\/3, 0.5, -0.17, 1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1312912756?\nAnswer: 2, 328228189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -334, -2647, -8912, -21103, -41194, -71159, -112972, -168607?\n\"Answer: -329*n**3 - 2*n**2 - 4*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 5*d**8\/336 - d**7\/7 - d**6\/6 + 9*d**5\/2 - 75*d**4\/8 - 161*d**2 + 17. Suppose p(q) = 0. What is q?\nAnswer: -3, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -242608*h**2 - 314*h - 615 wrt h.\nAnswer: -485216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 16*q**2 + 28*q + 41. Calculate l(-14).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180642, -361278, -541914, -722550, -903186?\nAnswer: -1083822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 10) to base 7.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2100 and 190050.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 8:53 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 8 = -3*d. Let o(u) = 9*u**3 - 4*u**2 - u. Let z(k) = -k**2 - 3*k**3 + k**2 + 0*k**3 + k**2. Give d*o(t) + 7*z(t).\nAnswer: -3*t**3 - t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193562*c - 193518*c = 2287 - 615 for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280378.\nAnswer: 2, 7, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cofocfoo. What is prob of sequence fo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, j: 1, w: 1}. What is prob of sequence jw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 175797536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2266 + -1285. What are the prime factors of o?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -948, -1010, -838, -432, 208, 1082?\nAnswer: 2190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5308 rounded to two dps?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241880?\nAnswer: 2, 5, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.091, -1\/3.\nAnswer: -1\/3, -0.091, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7253 + 13018. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-592)\/(-222))\/(-2)*(-2)\/(-30)*140\/(-8).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-117)\/(-6) + (-1)\/(-2). Suppose -6*i = -i + p. Suppose -5*m + 2*c - 7*c = -45, -4*m = -4*c - 4. Sort m, i, -3.\nAnswer: i, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 3. Let w(q) = 4*q**2 - 3*q + 2. Let t(f) = -5*f**2 + 4*f - 3. Let m = 727 + -722. Determine m*t(b) + n*w(b).\nAnswer: -b**2 + 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*c - 2*l + 24, 0 = -c + 2*l - 13. Let h = 0.211 + -0.511. Put h, c, 2, 0.1 in decreasing order.\nAnswer: 2, 0.1, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6534013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 a factor of 104524260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + sqrt(119) + (2*sqrt(119) + sqrt(119) - sqrt(119))*-5)\/(sqrt(7) - 3*sqrt(7)*3).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a decade?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1099 + 1094. Put l, 396, -4, 5 in increasing order.\nAnswer: l, -4, 5, 396","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -23427*y + 70728. Calculate k(3).\nAnswer: 447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7038 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*i**2 - 21*i**2 - 46*i + 9*i**2)*(-15*i**2 + 27*i**2 - 38*i**2) to u*i**4 + j + d*i + v*i**3 + p*i**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggsggggsgsg. Give prob of sequence sgg.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -27. Let y = -2 - -2.1. Let g = y + -0.3. Which is the third biggest value? (a) 2\/23 (b) t (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 121, 179?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 13. Let r be (-92)\/10 + (-28)\/35. Let c be d(r). Suppose 5*u - u - 29 = -c*x, -23 = -x + 2*u. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a kilogram in grams?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 1, 2.2, -3 in ascending order.\nAnswer: -42, -3, 1, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -19846 * 0.1\nAnswer: -1984.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7372 - 0.6372. What is the closest to n in 15, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*o + 17*o - 33. Let l(h) = -2*h**3 - 6*h + 5. Let i(t) = -6*t**3 - 17*t + 14. Give o*l(d) - 4*i(d).\nAnswer: 2*d**3 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -0.1 (c) 233\/67 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -31, 4\/7, -16.6, -1\/2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 29*w + 721. Let j be d(45). Sort j, 5, 21, -5, 2 in decreasing order.\nAnswer: 21, 5, 2, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -166*y - 7897. What is h(-47)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 15, -1, -5, -7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 6) to base 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-8)*-2*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 169*f**4 + 48*f**2 + 4. Let r(q) = q**4 - q**2 - 1. Let g(u) = 4*r(u) + z(u). Find the third derivative of g(y) wrt y.\nAnswer: 4152*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836 is divided by 108.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60720758 + u**2 - 48*u + 30360393 + 30360365.\nAnswer: u**2 - 48*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -14*s - 2. Let v(l) = 15*l + 2. Let p = -10360 + 10357. What is p*v(g) - 2*j(g)?\nAnswer: -17*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34717070?\nAnswer: 2, 5, 857, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 + 12*q - 12*q - 4*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4777 times 0.04?\nAnswer: -191.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 9*s**2 + s + 5. Let f be u(-9). Let w = 5 - 8. Put w, 0, f in descending order.\nAnswer: 0, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 2*s + 28 - 10, -2*q = -4*s - 6. Suppose q*m - 53 = 3*m + 3*n, 0 = 3*m - 3*n - 81. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = -6*j + 83. Let t(b) = -4 - 3*b**j - 24*b + 3*b**2 - b**2 - 34. Let k be t(-22). Solve -4*n = 2*s - 2*n + k, 0 = s - 3*n - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4197 * -0.4.\nAnswer: 1678.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1045 and -77\/855.\nAnswer: 9405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69720 - 5*u**3 + u + 69720 - 2*u**2 to o*u**2 + x*u**3 + s + n*u and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*d = 197, 2*k + d = -3*k + 270. Let c = 12 - k. Let i = c + 62. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34746 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/24, -12, 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**5\/3 - 17*i**3\/3 + 12*i**2 - 20*i\/3 = 0.\nAnswer: -5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2232791*k**2 + 2353911 wrt k?\nAnswer: 4465582*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*w + 96*w - 212*w - 121*w**3.\nAnswer: -121*w**3 - 16*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -1.125531.\nAnswer: -5.125531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -19*n**3 + 115*n**2 - 7*n + 4. What is d(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 15*n**2 - 8*n - 5. What is the least common multiple of a(-1) and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - o = 8, 3*b - 4*o = 4 + 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 + 2*d - 2 + 5*d**4 - 4*d**4 + 2*d**2 - 4*d in the form o*d**3 + w*d**4 + y*d + i*d**2 + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 2:07 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -77*i + 5438 - 664. Solve -48*g + 17*g = i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 27376*j**3 + 4*j**2 - j + 47. Let b be r(7). Suppose 0 = 3*h - z + b + 8519801, -5*h - 2*z = 29849990. What is h rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 20 = 2*w, 5*q + 50 = -94*w + 112*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 91*m**3 - 16202867*m**2 - 8368532*m - 1068324 = 0.\nAnswer: -2\/7, -3\/13, 178054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -218, -352, -486, -620?\nAnswer: -754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28747331 is divided by 110143.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 divided by 908.\nAnswer: 21\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -5, 7, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 852 or 859?\nAnswer: 852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d = -35. Let l(y) = 15*y**2 - 5. Let p(h) be the first derivative of 22*h**3\/3 - 7*h + 11. What is d*l(j) - 5*p(j)?\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -444168 or -2\/161?\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -283888 by 4.\nAnswer: -70972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -8, -1 in decreasing order.\nAnswer: 4, 2, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + sqrt(44) - (-4 + sqrt(44)\/sqrt(4))).\nAnswer: 3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 + -5.94. Let i = q + 4. Let p = -1.2 - i. Sort -2\/5, 0.4, p.\nAnswer: -2\/5, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 97 = 3*t. What is the remainder when t\/(-10)*60\/(-7) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d - 20. Let n be o(-8). Suppose -2*h = -n*s + 2*h + 72, -4*s - 2*h = -90. Suppose -6*b + 267 = s. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 7:06 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281291230.\nAnswer: 2, 5, 11, 107, 23899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1691.360625 to 1 decimal place.\nAnswer: 1691.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6289, 13\/6 in decreasing order.\nAnswer: 6289, 13\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -613\/6 + 102. What is the nearest to 2\/5 in -2\/7, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 4504183.\nAnswer: 16\/4504183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*m**4*v - 60*m**4 - m**3*v + 2*m**2*v - m**2 - 488*m*v - 3 wrt m?\nAnswer: -96*m*v - 1440*m - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - w = w + 13, 3*h = -3*w + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*w + 23*w**4 + 12*w - 10*w**4 - 2 - 12*w**4 - 2*w**2 to h*w**4 + g*w**3 + o*w + k + z*w**2 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*d + 5 = 0. Let r(a) = 8*a**2 + a. Let s be r(d). Let g(w) = w**2 - 8*w + 1. Calculate g(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2652 + 2940. What is the highest common factor of t and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 3*d**2 - d**2)*(-d + 0*d + 4*d)*(-21 + 54 - 21).\nAnswer: 108*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = 4*k - 120 - 108. Let h(m) = -6*m + 12. Calculate h(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2 - 89*z - 757. Is 38 a factor of v(-48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 294508 and 136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2368905 divided by 2695\nAnswer: -879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**0*b**4*(b*b\/b**8)\/b*b\/(b*b**(8\/3)) assuming b is positive.\nAnswer: b**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/44)\/(4*(-6)\/(-48))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 6. Solve -q*n = -9*n - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2\/3)\/l*l\/(l\/l**(-2\/3)))\/(l**0*l**(-6)*l) assuming l is positive.\nAnswer: l**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s = 4*z - 26, -5*z - 3*s - 20 = -16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1649891090 + 0.1.\nAnswer: -1649891089.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1278 + -25037995.\nAnswer: -25039273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from {k: 2, z: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -491 + 488.11. Let r = o - -3. Let g = r + -0.1117. What is g rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -40*z + 73. Does 13 divide i(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -368.2 - -283. Let c = 79 + n. Let v = 6.19979 + c. Round v to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1973, 4121, 6219, 8243, 10169?\nAnswer: 11973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 27626736?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-9))\/(11\/(-99)). Suppose -10 = -5*h, 0 = n - 4*n + 4*h + 7. What is the fourth smallest value in n, f, 0.4, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 24. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 94893 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000240354 to seven dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + -2 - ((-20)\/(-8))\/5. Put -0.01, 0.2, u, 0.5 in decreasing order.\nAnswer: 0.5, 0.2, -0.01, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 837.402078 and 75.\nAnswer: 912.402078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/13)*z**(-3\/4))\/(z**(2\/7))**(11\/3) assuming z is positive.\nAnswer: z**(-1879\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71213 and 891973?\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -38. What is the nearest to -1 in -0.2, 4, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o**3 + 6*o**2 - 21*o - 30. Let f(p) = -2*p**3 + 4*p**2 - 12*p - 15. What is -7*f(u) + 4*t(u)?\nAnswer: -6*u**3 - 4*u**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*(sqrt(21)\/sqrt(3))**2 + -3*(sqrt(7) - (sqrt(21)\/sqrt(3))**2) + -4*(sqrt(168)\/(-2*sqrt(12)))\/sqrt(2).\nAnswer: -sqrt(7) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s - 5 + 2 + 13*s.\nAnswer: 6*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*h + 12, -4*y - y + 3 = h. Suppose 31 = 2*c - y*s + 3*s, 26 = c + 5*s. Suppose -3*q - 3*u - 2*u = -54, q - c = -4*u. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -32, -3, 2 in ascending order.\nAnswer: -32, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 4\/213 (c) -0.1 (d) 0.029 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2\/9 - 14840*t\/9 + 647768 = 0.\nAnswer: -7794, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + 9 - 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**3 + 2*v**2 + 4*v - 4. Let p(z) be the second derivative of -5\/2*z**2 + 0 + 1\/6*z**4 - z + 5\/6*z**3 + 3\/10*z**5. What is -5*j(q) + 4*p(q)?\nAnswer: -q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -108*l - 46*l**3 - 1 + 199*l + 1 + 43*l as m + w*l**3 + h*l + a*l**2 and give w.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = d + 13 + 3, -12 = -3*i. Let u = 0 + d. Differentiate 0*s**4 + 2 + s**4 + u with respect to s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 0.7. Let t = j + -0.2. Let b = -5 + 6. What is the nearest to t in -1\/9, -3\/4, b?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 2173\/3572?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 921482101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -36246 divided by -2568\nAnswer: 6041\/428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 15 + -3 - 4 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 6)*(10*a**2 - 6*a**2 + 3*a**2) to the form i*a + v*a**2 + y and give v.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 241827893 and 458?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4458207 (base 11) in base 5?\nAnswer: 4000031200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 5\/2, 2\/15, -2 in decreasing order.\nAnswer: 5\/2, 2\/15, -4\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 75*d**2 - 13*d - 29. Let j(k) = 34*k**2 - 6*k - 15. What is 11*j(s) - 5*q(s)?\nAnswer: -s**2 - s - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-6*(sqrt(475) + 0)**2 + sqrt(475)).\nAnswer: -5700 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*c + 4*c, 2*c - 7 = 3*s. Let i(q) = q**3 + q**2 + 3. Let d be i(0). Suppose 2*z - m = 7*z - 21, d*m - 7 = -z. Sort z, 2, s in ascending order.\nAnswer: s, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/5 + 13536*h**2\/5 - 22780602*h\/5 - 414448164\/5.\nAnswer: -2*(h - 3393)**2*(h + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -22222001?\nAnswer: 22221222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*(2*sqrt(19))**2*1 + 4 - (sqrt(1900) - 1*(-2 + sqrt(1900)) - -6*(sqrt(1900) + 2))**2.\nAnswer: -69808 - 1680*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*(-18)\/27)\/24?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 26*m**3 + m. What is the remainder when 1413\/27 - ((-16)\/3)\/(-4) is divided by p(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 208541 and 2454934.14?\nAnswer: 2246393.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 46*r**3 - r**2 - 3*r + 6. Let k be w(2). Suppose 0*d + k = 4*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-1))\/(12451\/186765)\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16334792?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p. Let s(x) = 4061320*x**2. Calculate s(a(y)).\nAnswer: 16245280*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -30*o - 12. Suppose -11*i = 108 + 101. Let l be q(i). Suppose 159 = 3*x - l. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -554424 - 1?\nAnswer: -554425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 6*j + 2. Calculate the remainder when p(-7) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/12*(-80)\/30)\/((-2)\/3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 717229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 11*n + 27. Let b be g(10). Let k = 37 - b. Calculate the remainder when 1245\/12 - (-5)\/k is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 - 17523*p + 0 + 17523*p + 0 + 23*p**3.\nAnswer: 26*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*p - 137 = -438. Let m(r) = -45*r - 307. Calculate the smallest common multiple of m(p) and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 - -38. Let g be 531*((-1)\/t + 0). Let r = g - 122. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -1. Let v(m) = -m**2 + 20*m + 20. Let o be v(h). Let w(x) = x**3 + 2*x**2 + x. Let k be w(o). Solve -c + 0*c + 1 = k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u\/(u\/((u*u**(-2\/37))\/u*u)))\/u*u*u)\/u*u\/((u*((u**(-11\/3)*u*u*u)\/u)\/u)\/u))**(-4\/11))**(6\/13) assuming u is positive.\nAnswer: u**(-4984\/5291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 9:48 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -431358354.13 minus -788?\nAnswer: -431357566.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -270 + 274. Let n be 6 + (0\/1 - -2). Let c be 5\/2 + 4\/n. Do i and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -249 + 376. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -8. Let p be (0 - -1)\/(g\/2). What is the units digit of (p\/(-5))\/((-1)\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 17. Suppose c*z = z - 5. Let q(v) = -8*v + 2. Let b(k) = -105*k + 27. Let a(u) = 2*b(u) - 27*q(u). Give a(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -292585170*0.3\nAnswer: -87775551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*x + 358*x - 5346 = 180*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-16))\/((-1302678)\/(-963384)) + 4\/38?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14368663.\nAnswer: 73, 196831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**5\/5 - b**4\/4 - 3*b. What is the third derivative of o(x) wrt x?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d + 20*d**2 - 3 - 21*d**2 - d**3 + 2 + 6*d**4 - d as q*d**4 + t*d**2 + r + k*d**3 + s*d and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -2) + -8 + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a + 11. Let x(j) = 2*j + 11. Let v(y) = 4*x(y) - 3*z(y). Let i be v(5). Solve 4*o - 3*b - 2 = -i*b, 3*b = -3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/3 and 34\/261?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + (-5 - (11 - -1 - (6 + 12))).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -162 + 428. Let c = u - 155. What is the greatest common factor of c and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cuuccuuu. What is prob of picking 4 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08 from 286131.\nAnswer: 286131.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1319, -1906, -2483, -3044, -3583?\n\"Answer: o**3 - o**2 - 591*o - 728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19\/45 - -571\/855. Put -2, -1\/4, f in descending order.\nAnswer: f, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25085 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*o + 21*o + 4*g - 8, g = -4*o - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, m: 1, a: 3, d: 1, e: 3}. What is prob of picking 3 e and 1 a?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -c + 25, -13*c + 16*c - 66 = 3*r. What is the remainder when 94 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 + 622*x**4 + 2*x + 214*x**4 + 2*x**3 - 164*x**4 to the form v*x**3 + q*x**4 + y*x + p + i*x**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11759 (base 14) in base 4?\nAnswer: -22121303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**5\/20 - a**4\/3 - 7*a**3\/6 + 2*a**2 - a. Let m = -35 - -40. Give r(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otoj when four letters picked without replacement from ctooeatajatooatataeo?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7*i + 169. Let b be o(23). Calculate the greatest common factor of 24 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*k**3 - k**2 - 4 + 176*k**3 + 187*k**3 + 81*k**3 to u*k**3 + h*k**2 + w*k + d and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 159608609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-44)*(41899\/879)\/(8\/6)\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 8 = 28. Let l(h) = 2*h - 1. Suppose -2 + 14 = 3*q. Let g be l(q). Solve 5 = -d*z - g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -64 - 38 + 42 - 20*q - 22 - 49. Let g be w(-7). Solve 3*i + 4*l - 9 = -0*l, g = 3*i - 4*l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 6 + (-4 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -26, -49, -72, -95, -118, -141?\n\"Answer: -23*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/2 + 2321*t\/2 + 1161.\nAnswer: -(t - 2322)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5*8\/40*(-164)\/4\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 161443 and 2?\nAnswer: 322886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 19*a**2. Let i(r) = -r + 10 - r**2 - 12 + 0. Let q(x) = -3*x**2 - 4*x - 8. Let v(o) = 4*i(o) - q(o). Calculate v(t(w)).\nAnswer: -361*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2128187 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + 0*a**2 + 14*a**2)*(-3*a - a + a)*(1 + 9 - 3).\nAnswer: -336*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 185964.\nAnswer: 1\/61988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -60.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/6)\/((-3)\/12). Suppose -2*w - 16 = 3*g, -4*w = g - 11 + 33. Which is the nearest to 0? (a) z (b) 0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.99 - 1.66. Let t = s - 0.84. Let w = t + -0.4899765. What is w rounded to six decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 + -57. Suppose -3*j = -5*k - 20, -5*j = 9*k - 7*k - 23. Solve -h*u - j*i = 30, -2*i - 12 = i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3*(sqrt(108) + -1) - (-1 + sqrt(108)*-1))*-6)**2.\nAnswer: -13824*sqrt(3) + 64512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/430004 and -44\/5983.\nAnswer: 13330124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 4*i + 20 = -4*x, 16 = -4*x + 3*i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 94\/(-893) + (0 + 2)\/((-1197)\/(-6))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.481? (a) -3\/4 (b) -0.5 (c) 3 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -275038, -1100255, -2475618, -4401127, -6876782, -9902583?\n\"Answer: -275073*z**2 + 2*z + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*x = 83*x + 1287 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4200)\/(-225)*6\/(-8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 6:45 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + sqrt(80)*-1 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - f - 19 = -6*f, 3*f = 5*g + 25 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 9:12 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8 - 15) + 18 - ((16 - 3) + -4)) + 16.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f - 13. Let l be z(3). Find the third derivative of 19*v**2 + v**2 - v**l - 22*v**3 wrt v.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.606 + -8.1. Let g = k - -5.5. What is g rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76835?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least as big as -1642\/273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -114 and -23?\nAnswer: 2622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*i + 49*i + 1512 = 0 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**5\/3 + 169*l**4 + 3664*l**3 + 50852*l**2\/3 - 28784*l - 42240 = 0. What is l?\nAnswer: -12, -10, -1, 2, 528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-1.32.\nAnswer: 5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 240138 - -2381862. Round j to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -550 (base 7) in base 13?\nAnswer: -187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.6559 + 0.6559. Sort 0.3, f, 232\/7, 2\/3, -0.5.\nAnswer: f, -0.5, 0.3, 2\/3, 232\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qqqqqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 1. Suppose 0 = 2*h - y*u + 13, h = -3*u + 6*u - 11. Let j(f) be the third derivative of f**4\/12 - f**3\/6 + 22*f**2. Give j(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570358 is divided by 291.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 - (99 + (-110 - -74)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -4)*6\/48. Let q = -68\/77 + 5\/11. Which is the closest to -1\/5? (a) -5 (b) g (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -16695, -5, -64 in descending order.\nAnswer: 8, -5, -64, -16695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 341 in 3\/4, 5, -3\/4, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (7 - (0 + -6 + 10))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000265 to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591 a factor of 12849018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6*-2)\/(-19*(-6)\/1368).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*l - 18. What is the units digit of ((-3)\/(-5))\/(l\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p**2 - p + 27 + 5*p - 6*p + p**3. Suppose 0 = -2*a + 4*a - 8. What is the remainder when h(7) is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -2*j + 3*j. Let r be 1\/((-1)\/7 - 0). Let l(q) = -q**2 - 11*q - 9. What is the remainder when j is divided by l(r)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 14*t + 10*t + 11, -4*r - 3*t + 16 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4999156 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) 3 (c) 9\/3304 (d) 2\/11 (e) -4\/9 (f) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*z - 209*z + 28972 + 8144 = 0. Calculate the remainder when z is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 21 - 9. Let z(f) = -2 + h + 6 - f**3 - 19*f**2. Calculate the remainder when 39 is divided by z(-19).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436548471.\nAnswer: 3, 89, 1635013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -300407.16684 + -2.83316. Let u = -300407.9999991 - o. Let s = u - 2. What is s rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(9) - sqrt(27)\/sqrt(3)))\/((sqrt(108)\/sqrt(4))\/sqrt(9)))**2*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence moom when four letters picked without replacement from {o: 5, m: 9}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -50\/219, 2\/9, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -79, 5, 2, 3, -3, 4 in descending order.\nAnswer: 19, 5, 4, 3, 2, -3, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3722?\nAnswer: 2, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/1195 + -192\/239. Which is the nearest to 0? (a) -1 (b) -0.02 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004211 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*sqrt(70))\/(sqrt(20)\/(sqrt(2) + sqrt(72))).\nAnswer: 140*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18, -2, 61111.\nAnswer: -2, -0.18, 61111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29163, 233276, 787283, 1866132, 3644771?\nAnswer: 6298148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -72*d**2 - 10*d*q + 2*q + 63 wrt d?\nAnswer: -144*d - 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 59, 2\/9, 5, 0.4, 308, 8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c + 100*c**3 - 70*c**3 - 87*c**4 - 30*c**3 + 1 to n*c**2 + y + t*c + m*c**4 + h*c**3 and give m.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 37, 32, 25, 16, 5, -8?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 570, 568, 566, 564, 562, 560?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 51354?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 56\/(-10) - (-6)\/(-15). Let v = y + 5. Let h be (-7 + -2)*v\/3. What is the greatest common divisor of h and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/153 and 53\/27.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -4722.\nAnswer: -5\/1574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580 is divided by 117.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6 + 3 + z + 1. Let x(n) = -3*n + 4. Let a(u) = -u**3 + u**2 + 5. Let l be a(0). Let s(t) = -t + 7. Let i be s(5). Calculate i*x(f) + l*o(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -224 - -222.89. Let n = u + 0.91. Let i = -1 - -0.5. Sort i, 0.1, 3\/5, n in increasing order.\nAnswer: i, n, 0.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002948289 rounded to seven dps?\nAnswer: 0.0002948","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*q + 13, -5*q = -s - 0 - 11. Suppose 2*u = -q*u. Solve 0 = 5*g + 4*d + 6, 2*g + 0*d - d - 8 = u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 0*r - r)*(-6*r + 0*r + r + 2 - 2 + r + (-1 + 1 - 2)*(-2 - r + 2) + r + 2*r + r).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1408689 and 387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 1. Let t(f) = 2*f**2 - 9*f - 6. Determine -5*q(g) - t(g).\nAnswer: -2*g**2 + 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 338*h**2 + 3*h + 2. Is f(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12121*l**5 - 2*l**3 + 286*l**2 + 8*l - 14 wrt l?\nAnswer: -727260*l**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -19*q - 516. What is n(-32)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {y: 5, k: 2, a: 12}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1*sqrt(900))\/(sqrt(294)\/sqrt(2) + sqrt(3)))**2.\nAnswer: 15*sqrt(3)\/2 + 219\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4325 and -0.6?\nAnswer: 4324.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**3\/6 - 2*g**2. Let l be (-1 + (0 - -2))\/(29\/(-26651)). Let h = l - -920. Let z(p) = -3*p - 4. Determine h*z(y) - 4*k(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3ea (base 16) to base 15\nAnswer: 46c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**4 + 31179*u**3 - 3821157*u**2 + 11182941*u = 0. What is u?\nAnswer: 0, 3, 121, 10269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-28)\/21)\/((-2)\/12). Find the second derivative of -4*k - 16*k**2 + 13*k - n + 8 wrt k.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4735, -4730, -4725, -4720, -4715, -4710?\nAnswer: -4705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 15 + 540 = 0. Suppose t - n = -2*t + 3*g, 0 = 2*t - 4*g - 80. Suppose -f + y = f - t, -y = 5*f - 78. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2050, -2\/7, 4, 0.9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.35 - -0.05. Let x be 4\/8*2 - (-8)\/(-5). What is the second smallest value in -1, w, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) -0.5 (b) -81 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 711624*j**2 - 355780*j**2 - 355844*j**2 + 2*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -6*k**3 - 8*k**2 + 7. Let s(t) = 12*t**3 + 15*t**2 - 13. Calculate 11*m(a) + 6*s(a).\nAnswer: 6*a**3 + 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a + 22. Let i be y(6). Let w(b) = -35*b**2 + 4*b - 6. Let x(k) = k**2 - k - 1. Let h(m) = i*x(m) + w(m). Differentiate h(f) with respect to f.\nAnswer: -62*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1\/7, -25, -0.04, -294 in ascending order.\nAnswer: -294, -25, -0.3, -0.04, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from ggeggppeeep.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 250\/125*10\/4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -12. Suppose -2*k = -k - 112. Calculate the highest common factor of z and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 282 - 275. Solve -11 = 2*w - x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1092\/558 + -2)*((-51)\/12 + 5)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -132\/103 - 7702\/1545. Calculate the common denominator of q and -31\/69.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9920.7464 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -150, -142, -136, -132, -130, -130?\n\"Answer: -k**2 + 11*k - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/252 + (-503874)\/(-4536)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2329\/((-10549)\/77) - 1*22.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 500 = -9*t. Suppose -5*g = 2*o - 7, -3*o - 2*o + t = -4*g. Suppose 3*h + 30 = 150. What is the greatest common factor of h and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, q: 3, n: 2, g: 6}. What is prob of picking 2 g, 1 i, and 1 q?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0860521 to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 64735307?\nAnswer: -64735307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 283*m**3 - 2077*m**2 wrt m.\nAnswer: 1698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 1:28 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-3\/7))\/y)**(3\/5)\/(y\/y**(-4)*y\/(y*y*y**(-1\/6)*y)))**40 assuming y is positive.\nAnswer: y**(-2444\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + -56. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 3*s. Let c(l) = -3*l**3 + 11*l**2 - 8*l + 7. Let z(g) = 2*g**3 - 8*g**2 + 5*g - 5. Let y(d) = 5*c(d) + 7*z(d). Calculate 5*n(m) - 3*y(m).\nAnswer: -2*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i. Let p(t) = -2*t + 2*t - 1320*t**2 + 1337*t**2. What is l(p(h))?\nAnswer: -119*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -98*q - 764. Let m be f(-8). Solve -5*j + m = 0, 2*l + 8 = 6*j - 3*j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 51773840 and -6.2?\nAnswer: 51773846.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -668 + 199850?\nAnswer: 199193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6167129, -6167130, -6167131, -6167132?\n\"Answer: -y - 6167128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 9) to base 6.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 7*z**2 + 7*z - 4. Let x be i(6). Suppose -2*w + 5*b = 15, 2*w + 2 = 4*b - 10. Suppose w = x*u + u - 24. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 917856.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21323333 (base 4) to base 16.\nAnswer: -9eff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 310 + 0.3.\nAnswer: 310.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27216 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -0.1, -2, 27, 4\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101.8 + -102. Let t = -57 - -34. What is the biggest value in t, q, -3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 17*y - 8. Let t(g) = g**2 - 17*g + 8. Let w(p) = -6*q(p) - 7*t(p). Let h be w(17). Put 1, h, -3, 5 in increasing order.\nAnswer: h, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -306010, -306001, -305990, -305977, -305962?\n\"Answer: f**2 + 6*f - 306017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 11:04 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u + 5*u - 2 + 3 - 2*u. Determine k(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -6*r + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8406.712 weeks?\nAnswer: 84739656.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1711 in -0.0643, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, 0, -1, 58, -2\/13 in descending order.\nAnswer: 58, 0, -2\/13, -1, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + h**2 + 3. Let a be p(0). Suppose 3*d - a = 6. Calculate the highest common factor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 4*h - 3. Let v be c(2). Let r be v - (2 + 8) - 1. Let p = 24 + r. Calculate the smallest common multiple of p and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2\/5 - 26*k - 1188\/5 = 0. Calculate k.\nAnswer: -54, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j + 2 + j**2 - 3*j - 3*j. Suppose 3*i - 1 = 2. Suppose -s - i = -5. Give o(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-7\/2)*k**(2\/5))\/(k*k**(1\/3))**(-9) assuming k is positive.\nAnswer: k**(169\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((1050\/40)\/(-3) - -9) + (-20718)\/(-8)?\nAnswer: 2, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7*13 - (-1)\/(-7)*7?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 4*t**2 + 0*t**2 - 13*t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2798725644 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.384 - -10.614. Round m to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 2*c**7\/7 + 19*c**3\/3 - 52*c**2. Differentiate z(v) wrt v.\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*z - 202 - 51 = 733 for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 7:05 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2810 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2135 - 2138. Let j = -2 + -7. What is the second smallest value in -3\/5, j, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/15*(-40)\/32.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*v + 512, -5*v + 3*g = g - 853. Let c be v\/(-36) - 3\/(-4). Let h = c - -7. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + w - 19 = 0, 0 = -4*z + w + w + 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9193.91 * 5\nAnswer: 45969.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 8 - 24 = 0. Suppose t + u*h - 15 = 5*h, 5*t - 3*h - 85 = 0. Suppose 50 = 2*r - 92. Calculate the remainder when r is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 239572908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -13. Let n = 1 + -0.8. Let z = 1.98 + 0.02. Which is the nearest to z? (a) -3 (b) p (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + -4*((sqrt(343) + sqrt(343) + 1)**2 + sqrt(343)) + ((-1 + sqrt(343))*-3 - (-5 + sqrt(343) + sqrt(343) + -1))**2) + 4.\nAnswer: -3850*sqrt(7) + 15839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123495 is divided by 41150.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/7*(-3)\/(15\/5).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202788 is divided by 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4 - 1. Suppose 0 = -3*n + h*d + 9, 0*d = -3*d. Let k(u) = u**2 + 30*u + 225. Let r be k(-17). Solve -r*z - z + 10 = -5*x, 4*z = n*x + 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1685 + -1205. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a microgram in nanograms?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 163749*v**3 + 3*v**2 - 3*v + 2. Let f be d(2). What is f rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30437 is divided by 104?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -6*p + i + 564, 0 = -4*p - 5*i + 564. Suppose 10*l - 7*l - p = 0. Is 25 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -209 - -329. Let h be t\/(-9)*9\/(-6). Let p = 33 - h. What is the remainder when p is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s = -9*s + 14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c**3 + 69*c**2 + 33*c - 400. Give k(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148570 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i - 114 = 0. Suppose -5*v + 8*v = -27. Let d be (-6 - v)\/((-9)\/i). Solve 6 = 5*a - d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 153 + (-3 - -1) + -3. Suppose 4*n = -t + 432. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520120 rounded to the nearest ten thousand?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -12*g**5 - 3104*g**4 - 216204*g**3 - 1955144*g**2 + 821376*g + 1353088 = 0.\nAnswer: -124, -11, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2748*-96.2\nAnswer: -264357.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 10*k**2 - k - 7. Let v be w(-10). Solve f - v = -0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -14, 10.\nAnswer: -14, -5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**5\/10 - b**4\/2 - 3*b**3 - 5*b**2 - 233*b - 268. Let c(i) be the first derivative of w(i). Factor c(v).\nAnswer: 2*(v - 5)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -4 (b) -121209 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 176 - 176 - 18*k**3 + (2*k**2 + 1 - 1)*(2*k + 1 - 1).\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 10*y + 20. Let i be g(-10). Calculate the highest common divisor of i and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a98 - -23a?\nAnswer: -85a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -202050 (base 6) in base 10?\nAnswer: -16014","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, 2\/15, -1\/2 in decreasing order.\nAnswer: 8, 2\/15, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 37.\nAnswer: -7\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from xyxxyxxy.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40770614 a multiple of 1402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -141343 rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13282 + -13282.00019254. Round q to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 14.6238653.\nAnswer: 14.2238653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 11804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*d = -22, -d - 11 + 2 = -5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5844245 is divided by 323?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28, -60, -112, -190, -300, -448?\n\"Answer: -y**3 - 4*y**2 - 13*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(1 - 3 - -2)*-1. Let b be (((-16)\/(-6) - 3)*k)\/2. Are b and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*a - 11. Let z be (-131)\/(-6) + (-1)\/a. Suppose z = -2*y + 4*y. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 7:43 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 25639*-1131\nAnswer: -28997709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -8. Suppose 0 = 3*t - 12, f*d + 3*t - 32 = -2*t. Suppose 25 + 23 = d*w. Calculate the highest common divisor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 z when four letters picked without replacement from {p: 4, q: 4, z: 8}?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*x + l, 5*l - 40 = -4*x + l. What is the highest common factor of x and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-6)*176\/2904.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (28\/(-8))\/((-3)\/24). Suppose 5*a - 37 - y = 0. Factor 12*l**2 + 2 - a*l**2 + 5*l - 6*l.\nAnswer: -(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46108 - 3*b**3 + 46108.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16152415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/144720 and 101\/3230070.\nAnswer: 232565040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3166 is divided by 879?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - s**2 + s + 2. Let j be w(0). Let x be j - ((-25)\/5 - -4). Factor 1\/3*u**2 + 0 - 1\/3*u**4 - 1\/3*u + 1\/3*u**x.\nAnswer: -u*(u - 1)**2*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*a - x - 3*x, -x = 2. Let v(m) = 9*m - m**3 - 8 - m**2 + 2*m**2 + 5*m**2. Let y be v(a). Round y to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 9. Let g be (-144)\/(-15) - 6\/10. Let s = x + g. Calculate the smallest common multiple of s and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -170 - -174. What is the highest common divisor of m and 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h. Give w(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 2*u - 6. Let b(g) = -2*g**2 - 3*g + 7. Let k(q) = -2*b(q) - 3*s(q). Differentiate k(y) wrt y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 j when two letters picked without replacement from {j: 10, p: 5, u: 1, f: 1}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/5)*c**(-5\/4)*c assuming c is positive.\nAnswer: c**(-17\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 (base 6) in base 13?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 201 = -4*q + 5*r, -5*q + 195 = -5*r. Let l = q - 57. Is l*(21\/(-12) - 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -2, -5, -11 in ascending order.\nAnswer: -11, -5, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31912674?\nAnswer: 2, 3, 5318779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*z - 1442, 3*z + 4351 = 3*s + 2*z. Does 6 divide s\/32 - (-9)\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 7 - 4\/13*z - 32\/13*z**3 - 23\/26*z**4 - 27\/13*z**2. Solve d(m) = 0 for m.\nAnswer: -1, -2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**3 - 16*t**2 - 14*t + 11. Determine v(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4 - j + 7 + 2 + 5. Let o(m) = 7*m**2. What is h(o(c))?\nAnswer: -7*c**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 317669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4759 = -4*u + 68*r - 73*r, -4*u = r - 4763. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n**2 + 50963*n + 254935. Calculate x(-5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 625773823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from {s: 5, b: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 0*f**2 + 4 + 32\/3*f**3 - 17*f - 1\/3*f**4. Determine q so that b(q) = 0.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -176 + 255. Let d(h) = h**3 + 4*h**2 + h + 3. Calculate the remainder when g is divided by d(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004003 to seven dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 20*z**2 - 6. Let m = 20 + -34. Let c(i) = 7*i**2 - 2. Let w(d) = m*c(d) + 5*s(d). Factor w(x).\nAnswer: 2*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000742331048 to seven dps.\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 89466 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 591 - 218. List the prime factors of o.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -21 (c) 54.2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(5824\/1716))\/(9\/(-96)*-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 2*x**2 - 4*x**2)*(2*x**2 - 2*x**2 + x**2) + 11477*x**2 - 26*x - 11477*x**2 + 2*x**4 + 4*x**4 + 0*x**4 - 6*x**4.\nAnswer: x**4 - 26*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*u - 1672 = 303*u - 635*u for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15, -36, -57?\n\"Answer: -21*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddxxxwuuxxxxxwwxxcxx. What is prob of sequence dc?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 11:50 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/2 + (-27)\/(-18). Let c(m) = -m + 3. Calculate c(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208949205 to the power of 1\/3, to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 0.2118\nAnswer: -0.1059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-528)\/(-264)*65\/5?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -39*j + 1249. Give y(32).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -43*x + 7\/2*x**3 + 0 + 15*x**2. Differentiate y(l) wrt l.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -1620049890984?\nAnswer: 1620049890983.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -361, -621, -775, -817, -741, -541?\n\"Answer: r**3 + 47*r**2 - 408*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26514, 26509, 26500, 26487, 26470, 26449?\nAnswer: 26424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i + 3. Suppose -2*r + 0*r + 52 = -3*y, 0 = -4*y - 2*r - 46. List the prime factors of w(y).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8641*c**4 + 4*c**3 - 140*c**2 + 21635402*c wrt c?\nAnswer: -103692*c**2 + 24*c - 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 1.5, 2650, 1\/2, 1.\nAnswer: -0.07, 1\/2, 1, 1.5, 2650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16293.16 rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 o when three letters picked without replacement from {g: 4, o: 10}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -9 + -123 + 134.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4657745 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 38*v**2 + 52*v + 676. Give n(37).\nAnswer: 1231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2030)\/(-80) + 9\/(-24). Solve 24 = -d + c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (-1 - (-4 + 1)). Suppose q = -0*b + b. Solve 4*c = 0, -8 = -4*y - b*c - 2*c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 318139757 to the nearest ten thousand.\nAnswer: 318140000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 585210803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -1*(8 - 2). Is q\/(-15) - (-166)\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 1. Let u = 0 - o. Let w be ((-56)\/(-2) - u)*1. Solve -15 = 3*z, -2*y + 4*y = 4*z + w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -7a7?\nAnswer: 7a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**3*s**3 - 71*g**3 + 6*g**2*s**3 + 2*g**2*s**2 + 2787*g**2 + 161*g*s - 47063*s**3 wrt s?\nAnswer: -6*g**3 + 36*g**2 - 282378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 157543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 10:23 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-11)*k*(k\/(k\/k**(2\/47))*k)\/k assuming k is positive.\nAnswer: k**(-468\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5987 = -3*y, -5*y - 10001 = -10*y - 4*f. Find i, given that y*i**2 - 1995*i**2 + 18 - 14*i - 6*i = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 487\/5 + -98. Which is the third biggest value? (a) h (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 times -11\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*t + b, -4*b = -2*t - 2*t. Solve -t*j + 4*h - 4 = 0, j + j - 2 = -2*h for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*j*l*r**2 - 84*j*l*r + 2*j*l + j*r**2 + 2*j*r - 3*l*r**2 + 9*r**2 wrt r?\nAnswer: -24*j*l + 2*j - 6*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4527 = 131*g - 854 + 257 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -4053?\nAnswer: 2\/1351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 130 - -1438. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40350 is divided by 194.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39671.\nAnswer: 39671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2249, 4508, 6767, 9026, 11285, 13544?\nAnswer: 15803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 586695838*n**5 - 75274*n**2 - 5*n + 348 wrt n?\nAnswer: 35201750280*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1596 = 4*o + 540. Does 33 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -474*g**2*q - 2*g**2 + 67*g*q**2*r + 68971*g*r - 2*q**2 + 1 wrt q.\nAnswer: -474*g**2 + 134*g*q*r - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 10*n - 3*n)*(0 + 1 + 2)*(2 - 5 + 2)*(-7557 + 198*n + 7557) in the form l*n + a + v*n**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -1603.7 - -1698.4. What is m rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 - 5*j - 4. Let a be m(-3). Let k = -5 - a. Suppose 5*x + b = k*x + 31, -5*x = b - 53. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 702 and 1599.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -4635.6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12637446063363 + -0.3.\nAnswer: -12637446063363.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 35 + -10 - (-17 - -81)) + -1 + 0.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-299)\/(-115)*18\/117)\/((-1)\/185)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 3600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12390000 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-2) - 3\/(-15). Let c be 99\/105 - (-4)\/(-28). Factor -2\/5 + c*z + g*z**2.\nAnswer: 2*(z + 1)*(3*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12196 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -7, 26.\nAnswer: -7, 2, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1056 and 616.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkkkoowwwkw. What is prob of picking 1 o and 3 w?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**3 - 2. Let b(u) = u**2. Let l = -21 + 1. Let d be ((-8)\/l)\/(2\/(-10)). Let x(q) = -q - 10. Let o be x(-9). What is d*b(g) + o*a(g)?\nAnswer: -2*g**3 - 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74469801\/4 or -18617450?\nAnswer: -74469801\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1002883, 1002892, 1002907, 1002928, 1002955?\nAnswer: 1002988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 3*o = 455. Calculate the highest common divisor of o and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34.4, 15, -2\/3, 6\/19 in increasing order.\nAnswer: -2\/3, 6\/19, 15, 34.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 4*v + 9*s + 26, -4*v + s = 17. Let i(l) = -2*l**3 + 4*l**2 - 2*l. Let k be i(v). What is the highest common divisor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.569 - 0.669. Suppose 0 = 5*h + s + 9, -3*h = h - s. Which is the fourth biggest value? (a) z (b) 0.5 (c) h (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8248065.\nAnswer: 3, 5, 7, 78553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2\/9*d**3 - 646\/9*d**2 + 5832 - 5760*d = 0.\nAnswer: -162, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -6 - 6) + 12 + -7 + 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/((-3*sqrt(45))\/sqrt(5)) - sqrt(130)\/((sqrt(50)*3)\/sqrt(5)))**2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0044346731 rounded to six dps?\nAnswer: 0.004435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/4 and (3 - 140\/49)\/((-12)\/(-1498))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + 5 + -1 - (1670 - 1686)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2\/3 + 374*w\/3 + 2890\/3.\nAnswer: 2*(w + 85)*(2*w + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1209*a + 1213*a = -12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2218301 (base 9) in base 15?\nAnswer: 1889e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22249?\nAnswer: 19, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 + 2*p**4 - 3*p**4 + 0*p**4 - 5*p**4 + 4*p**4 + (3 + 2*p**3 - 3)*(-2*p + 0 + 0).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21695.0000148912 - -21695. Round v to 7 dps.\nAnswer: -0.0000149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*w - 46*w = -2*u + 538, 0 = 5*w + 5*u - 685. Calculate the smallest common multiple of 242 and w.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110346785 divided by 5?\nAnswer: -222069357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 4*b**2 + 2*b - 2. Give k(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (32\/336)\/(((-140)\/(-45))\/(-7))\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10129.\nAnswer: 7, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a - 6. Let c be y(-3). Let l(s) be the first derivative of 2*s - 2 - 2\/3*s**3 + c*s**2. What is the first derivative of l(r) wrt r?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7981 - 471*f**3 + 7981 + 466*f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 5 - 4. Suppose -s*m - i = -m - 444, 2*m - 3*i = 436. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39532082 + 78332082. Round n to the nearest 1000000.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*2\/(-6) - 5\/7. Let b = 9.11 - 0.11. Which is smaller: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -200*j**2 - 2*j + 964 with respect to j.\nAnswer: -400*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53591 is divided by 319.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7097 - -7099. Calculate the lowest common multiple of 3088 and i.\nAnswer: 3088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/6308874 and 50\/2580903?\nAnswer: 56779866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21\/17 - -59\/34. Let b(z) be the second derivative of 0 - 1\/20*z**5 + r*z**2 + 1\/6*z**3 - 28*z + 1\/4*z**4. Calculate b(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101001 - -1111100?\nAnswer: -111101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19525 and 10940?\nAnswer: 42720700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -168418, 1, 2, 26?\nAnswer: -168418","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 37*s + 152. Let p be a(39). Calculate the highest common divisor of 74 and p.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 15\/4 of a second?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - y - 6 - 4 = 0, 0 = 5*v + 2*y - 16. What is the third derivative of -3050*k**5 - 4*k**3 + 2937*k**5 - 4 + 2*k**3 - 72*k**2 + v wrt k?\nAnswer: -6780*k**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1106, -2158, -3196, -4214, -5206?\nAnswer: -6166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 2976?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + a. Let u = 21 + -18. Suppose u*s = x - 4 - 0, 6 = x - 5*s. Let d be -3 - (2 - (x + 0)). Calculate k(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**9\/3780 + c**7\/630 + c**4\/4 - 4*c. Let h(k) be the third derivative of r(k). Find the third derivative of h(t) wrt t.\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7661, -7653, -7645, -7637, -7629?\nAnswer: -7621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2555955 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 4*p = 13*a - 12*a - 9, 2*a = -2*p - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3650 is divided by 262.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -25. Let r be 4\/144 + 2\/n. Let o = -7.833 - -11.833. Which is the closest to 1? (a) 0 (b) o (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 532 divided by -1\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g**2 + 6*g**2 + 4*g**2)*(-98*g - 39*g + 29*g + (0 + 1 - 2)*(4*g - 3*g + 0*g)) in the form m*g**3 + t*g**2 + l*g + j and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -10.904278259\nAnswer: 11.904278259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 211 and 232733?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vav when three letters picked without replacement from {t: 3, v: 3, y: 3, a: 1, o: 1, n: 4}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j. Suppose 3*i + 1 = -2*n - 3, 3*n + 17 = i. Solve 4*a - i*t + 8 = -5*t, -4*a - 4*t - 12 = j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58031696 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 j(x) = -802*x**3 + 5*x**2 + 3*x - 1. Let d be j(-1). Suppose -347 - d = -5*w. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from {e: 4, x: 1, u: 1, y: 3, s: 2, t: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -21099.95 rounded to the nearest 10?\nAnswer: -21100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -464*v + 566*v - 1603848. List the prime factors of v.\nAnswer: 2, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -763, -3216, -7307, -13036?\n\"Answer: -819*h**2 + 4*h + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*h*w + 162*h - 648*w wrt h?\nAnswer: -7*w + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -134, 22, -8, 0.005, -0.2, -0.5?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-6))\/((-1)\/(12\/(-18))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {g: 2, a: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 19 = 3*n, 5*n + 2*r - 29 = -0*n. Find the second derivative of 0*u - u + 5*u**5 - 6*u**n wrt u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.7913 rounded to one dp?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*g + 69*g + 9752 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 543*w - 47 + 559*w + 554*w - 1642*w.\nAnswer: 14*w - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -501559954*k + 250779975*k + 250779979*k + 2*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1000 = -79*b + 74*b. Suppose 290 = 5*f + 90. What is the highest common factor of b and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -1548, 4\/31, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 522? (a) -4 (b) 4 (c) -0.3 (d) 6 (e) 2\/173 (f) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1216) - 2*sqrt(1216)*3 - (5 + sqrt(1216)*3)))**2.\nAnswer: 77824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10344770879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -6. Let t = q - -2\/3. Let o = -2 + 1. Which is the nearest to o? (a) 0.4 (b) t (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 53600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*p - 2*t = -225*p - 2, -201 + 199 = -14*p - 2*t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8976)\/(-85))\/((-464)\/(-290)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 2*k - 5*c - 23, 2*c = -3*k - 13. Let m(d) = 14*d**2 + 5*d + 3. Calculate the lowest common multiple of m(k) and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4964232 is divided by 37.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 174031 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 14. Let r(b) = -3*b + 42. Let v(a) = 17*i(a) + 6*r(a). Let j be (3 - 6) + 2 + 5. Suppose j*d = -s - d, -d = -s. Determine v(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -8*q + 15. Solve q*l + 4 = 2*g, 6*g - 4*g + 3*l = -20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o + o = -11664. Let f = -647 - o. Solve 3*k - 2*k = f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193283 times 2?\nAnswer: -386566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 605 is divided by 542.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**2 - 24*r - 1. Let m(d) = -7*d**2 - 67*d - 3. Determine 11*g(o) - 4*m(o).\nAnswer: -16*o**2 + 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l**2*m**2 + 86*l**2*m - 3*l**2 - 34489*l + 35*m**2 - 58*m + 10 wrt m.\nAnswer: 2*l**2*m + 86*l**2 + 70*m - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 9*n**2 - 11*n + 37. Determine t(9).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11906703?\nAnswer: 3, 440989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6162315 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3698807044.\nAnswer: 2, 103, 8977687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/((g\/(g**(-1\/4)*g))\/g)))\/g)**(4\/11)*(g*g*g**(-1\/6)\/g*g)\/g**(-3)*(g**3\/(g*g\/(g*g**7)))\/((g**(-3\/7)*g)\/(g*g**(-8))) assuming g is positive.\nAnswer: g**(2767\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105 + -175. Let p = w - -75. Which is the third smallest value? (a) p (b) 0 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/9*(-12)\/8. Let z(k) = -2*k**2 + 8*k + 3. Let s be z(6). Let n = 39 - 40. Sort y, s, n in descending order.\nAnswer: y, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39111211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10881\/279*(-64)\/(-96).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2585546 to the power of 1\/2, to the nearest integer?\nAnswer: 1608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 8*a**2 - 9*a + 16. Let n be f(7). Is (n\/6)\/((-25734)\/(-8577) - 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 611, 1137, 1663, 2189, 2715?\n\"Answer: 526*f + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 12 = 0, 2*s + 64 = 2*t + 7*s. Let b(n) = n**3 - 21*n**2 + 15*n - 27. Is b(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 7*o + o - 4*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1*1)\/((-14)\/(-14)). Let x be (-324)\/(-110) + 4\/(-10) - 3. Which is greater: d or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35833.903 days to weeks.\nAnswer: 5119.129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 6\/9*-6. Does 18 divide (262\/6 - l)*90\/60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + -1 + 20125\/21070 and 27\/7.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88496.52l in millilitres?\nAnswer: 88496520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, -66.592, 193?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 + 105. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46 and 288952?\nAnswer: 6645896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -82 - 2. Let s = z + 45. Calculate the remainder when (11\/(-2))\/((-1)\/2) is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnonn. What is prob of sequence ndnn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1187917 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -48 (base 9) to base 6\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-5)\/((-15)\/6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t - 5. Let a(q) = -15*q - 11. Let l(h) = 6*a(h) - 13*c(h). Let o(w) = -3. Let s(k) = 2*l(k) - o(k). Differentiate s(z) wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -578*r**3\/3 + 628*r**2 - 995*r. What is the derivative of x(q) wrt q?\nAnswer: -1156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -118 - -108. Let o be ((200\/(-6))\/5)\/(z\/45). Calculate the highest common factor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 14\/13, -1\/26, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69391 and 1724?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 = 6*l - 929. Calculate the highest common divisor of l and 1480.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**3 + 449229642*d**2 + 898459293*d + 449229648 = 0. Calculate d.\nAnswer: -1, 149743216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 2 (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -43*v - 1021. What is u(-23)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5}. What is prob of picking 4 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 912680982 and 0.98.\nAnswer: 912680982.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.2, -4\/3, 1014\/5 in descending order.\nAnswer: 1014\/5, 0.2, -0.2, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6960607127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-6)\/(-9))\/(38\/171)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/4)\/((-33)\/176). Let o be 6\/h*(-8)\/(-24). Which is the closest to o? (a) 2 (b) -4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**4\/8 - 525*t**3\/8 + 19761*t**2\/8 - 19239*t\/8 = 0?\nAnswer: 0, 1, 53, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91268933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -1 (b) 121738 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 1\/9*d**3 - 1\/18*d**4 + 5*d + 0 + 1\/3*d**2 - 1\/30*d**5. Factor w(k).\nAnswer: -2*(k - 1)*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3 - (-6813)\/(-11016). Let z = -1\/153 + s. Does z = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 230208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -74, -242, -570, -1112?\n\"Answer: -9*h**3 + h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(24\/(-8))*2\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 16542, 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -9 + -8 + 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nny when three letters picked without replacement from nnyyyncnyynyc.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-9))\/(3\/(-54))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 65910253 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**4 - 2574*h**3 - 32996*h**2 + 162936*h - 173264 = 0. Calculate h.\nAnswer: -1274, -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from jjjqdqjjqqqjq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-216)\/(-30))*(1 - (1 + -15))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 231 and 63.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9983641, 19967290, 29950937, 39934582, 49918225, 59901866, 69885505?\nAnswer: 79869142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 11:33 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 - 31*f + 6. Let v(a) = a**2 - 1. Let m(z) = r(z) - v(z). Determine m(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 11470500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 313?\nAnswer: -5\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 c when three letters picked without replacement from {c: 3, p: 2, t: 12}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + o**2 + o**2)*(-1 - 112*o + 54*o + 51*o).\nAnswer: -14*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n - 5*n + 2*n)*(1 - 25*n - 172*n**2 - 2*n + 171*n**2) as o + t*n**3 + u*n**2 + x*n and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d, -34*j + 38*j + 2*d - 20 = 0. Sort -2, j, -4, -375, 2 in increasing order.\nAnswer: -375, -4, -2, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 + (-2 - (0 + 2)) + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 5 (b) -1255 (c) -0.5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/13 in -5, -0.2, 5, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*l**3 - 3018*l**2 + 11481*l + 4860.\nAnswer: -3*(l - 4)*(l + 81)*(13*l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-78)\/4)\/(5\/(-50)). Suppose -4*i = -5*f + g, f - 6*i = -i + 60. Suppose -4*y + 208 = z, y + 4*z = f + 17. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q - 7. Calculate r(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-6))\/((3*-1)\/90). Suppose -11*p = -p - z. Which is smaller: -3 or p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (300\/85)\/4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120897 rounded to the nearest ten thousand?\nAnswer: 1120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 368 and 270.33.\nAnswer: 99481.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15543 is divided by 43?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -19. Let o = 16 - w. Let t = -7 - o. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i + 3. Let d(f) = 4*f - 3. Suppose 16 + 17 = -3*w - 3*o, 25 = -5*o. Let x(n) = w*d(n) - 7*b(n). What is the derivative of x(h) wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, v: 1, z: 7, t: 3, y: 2}. What is prob of sequence tzzd?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1122, -4311, -9636, -17097, -26694?\nAnswer: -38427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.019 + 5.019. Sort i, 5\/3, 5\/12 in decreasing order.\nAnswer: i, 5\/3, 5\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*l**2 - 105*l**2 + 51*l**2 + (-2 - 1 + 2)*(-l**2 - 2*l + 2*l) + (3 - l - 3)*(-2*l + 3*l + l) as p + n*l**2 + g*l and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7229\/28035 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 6 = 10. Let j(n) = 3*n**2 - 4*n - 6. Let f(i) = -i**2. Let r(t) = 2*f(t) + j(t). Is r(c) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - -5) + -2 - 0. Suppose -10*y + 8*y + n = 0. Let v(g) = 1 + 0*g**3 - 3*g**2 - 2*g + 0*g**y + g**2 + 2*g**3. Determine v(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -74 and 775?\nAnswer: -57350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o**2 + 11*o + 53. What is w(-3)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 11*m + 8. Let q be a(11). Suppose 6*s - 2*s = q. What are the prime factors of (s\/3)\/(2\/87)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/26 (b) -3\/2 (c) 4 (d) 0.06724\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p**(-3\/7)))*p**(-1))**(-39\/5) assuming p is positive.\nAnswer: p**(117\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - 1. Do 0 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w\/((w\/(w*w\/w**2))\/w)*w*w*w)\/w)**(-3\/2)*w**(-1)\/w**(-1\/3) assuming w is positive.\nAnswer: w**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - h - 4. Let s be k(4). Let f(y) = y**3 + 26*y**2 - 356*y - 39. Let r be f(10). Sort 5, r, s in decreasing order.\nAnswer: s, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.075477 or -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-2)*3*(-1)\/(-9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1902 divided by -3?\nAnswer: -634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 66507827501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1204 to 3 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 110 divided by 3685506\nAnswer: 5\/167523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*c - 5*c + 330. Let z be c - -45 - 1*3. Let b = z - 61. Solve -2*y + 3 = -b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2703745795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**3 - 31*h**2 - 37*h - 259. Determine w(-15).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -0.091 (b) -7.461 (c) 4 (d) -0.5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7159 - 7155. Let j(r) = 11*r + 10. Let b be j(-6). Is b greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -h + 5*g, h - 3*g + 0*g + 3 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6\/251 + -604\/4267. Which is the third smallest value? (a) -1 (b) 2\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 87\nAnswer: 8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.224997cm to millimeters.\nAnswer: 72.24997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**2 - 12*d**3 + 2*d**2 + 41*d**3 + (-3*d + 4*d + 0*d)*(3*d**2 - 2*d**2 + d**2).\nAnswer: 31*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -26495.144 * 3\nAnswer: -79485.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7449*u - 11351.\nAnswer: -7449","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1712 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**2 - 765661*o + 765660 = 0.\nAnswer: 1, 765660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.7 + -15. Let x = n + 5. Suppose -52*r = -169 - 91. Which is the second smallest value? (a) -2\/19 (b) x (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 267 - 266. Let w(k) = -5*k. Let s(z) = 3*z + 31. Let t(b) = p*s(b) + w(b). Determine t(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (38\/15295)\/((-3)\/5). Let r = m + 1612\/483. Suppose -2\/3*n**2 - 2*n**5 + 2\/3*n**4 + 0 - 4\/3*n + r*n**3 = 0. Calculate n.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -34, 448, 16 in decreasing order.\nAnswer: 448, 16, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -130553 + 130582. Let r = 65 - -50. What is the remainder when r is divided by p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**3 + 14369635*q**2 - 14369570*q - 172435560 = 0. Calculate q.\nAnswer: -3, 4, 2873926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + c - 1. Let d = -1 + 2. Let z(k) = -4*k**2 + 8*k. Let r(j) = d*z(j) - 3*s(j). What are the prime factors of r(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5439139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-5)*q\/(q**(3\/2)\/q*q))\/((q*q\/(q*q**(-8)))\/q**4))\/((q*q**(-2))**43\/(q*(q\/(q\/(q\/(q*q**(2\/3)))))\/q*q**3)) assuming q is positive.\nAnswer: q**(275\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31, 140, 321, 574, 899?\n\"Answer: 36*i**2 + i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/((i\/(i\/((i*i**17)\/i))*i)\/i))\/i*i**(-7\/4) assuming i is positive.\nAnswer: i**(-71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*b - 108 - 609 = 0, -f + 360 = 3*b. Suppose 0*c - 3*c = -f. Calculate the highest common factor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 2324 (c) 0.2 (d) -2\/37 (e) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 14) to base 12.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**2 + 32*x**3 - 2 - 33*x**3 - 2*x + 4. Let n be k(3). Suppose -2*w = -n*w. Solve -3*v + 7 = 2*c, 5*c + w = 2*v - 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -28*j**2. Let w(c) be the third derivative of -c**5\/20 + 10*c**2 + 2. Calculate w(x(r)).\nAnswer: -2352*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x. Let a = x - -1. What are the prime factors of (-4 + a)\/((-1)\/2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 6)*(-3*f + 4*f + 0*f) + 27*f + 9*f + 18*f.\nAnswer: 51*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -11*a**3 + a**2 + 6*a. Let m be l(-2). What is the greatest common factor of m and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31373581.\nAnswer: 31, 47, 61, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169577578.\nAnswer: 2, 2309, 36721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 3*x - 11. List the prime factors of u(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 7*j**5\/12 - 74*j**2. Let w(k) = 7*k**2. Calculate 3*p(x) - 14*w(x).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p**6*p)*p)*p**11\/p)\/(p**(1\/10)\/(p\/(p\/(p\/(p\/((p\/(p**(2\/53)*p))\/p*p)))))))**(-10\/11) assuming p is positive.\nAnswer: p**(-8407\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**3\/2 + 180273061*t**2 - 32498376522309721*t\/2 = 0?\nAnswer: 0, 180273061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/462 and -115\/994?\nAnswer: 32802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 13*f + 1. Let d be h(13). Suppose -s - k - d = 2*k, -5*s + 15 = 5*k. Solve 0 = 4*t - 5*g + g + 4, s*g - 21 = -3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8051360 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*2*-1 - sqrt(130)) + sqrt(130) - sqrt(130))\/sqrt(10)*-6 + (sqrt(208) + sqrt(208) + sqrt(208)*4 - sqrt(117)*-3).\nAnswer: 51*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 221 and 48252763.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 0*o + 15*o - 3*o + 12*o**2 + 3*o**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*a**4 - 51*a**3 - 25*a**5 + 17*a**2 + 10*a**4 - 89*a**3 + 23*a**2.\nAnswer: -5*a**2*(a - 2)**2*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1694 and 260442?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*s**2 - 29*s**2 + 42*s - 42*s.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 8*z**2 - 8*z - 1. Let m be y(-7). Let c be m\/4*(-448)\/(-21). Let h = c + -4. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 473311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 5:19 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1285 + 97 + 557 - 321)*(-3*i + i + i).\nAnswer: -1618*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346535383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -38489.7, -2, -5, -1\/11 in ascending order.\nAnswer: -38489.7, -5, -2, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57599, 115539, 173479, 231419, 289359?\nAnswer: 347299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3*v = -6*h + 4*h - v + 20, 8*v = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10315 rounded to the nearest 100?\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 8:41 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 2*o - 87, 4024 = -4*r + 10*o + 4102 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 309 and 193125.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(f - 3*f + f)*(81*f**4 + 544*f**4 - 44*f**4).\nAnswer: 1162*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 1. Let h(w) = 12*w + 96. Let k(z) = -h(z) + 2*v(z). Let u be k(-25). Calculate the greatest common factor of u and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x + 3. Let w be t(0). Which is the closest to -0.1? (a) w (b) -0.3 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -28, -0.5, 2.\nAnswer: -28, -0.5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 77 = 4*z - 23, 3*z + 185 = -5*n. Find the common denominator of (-12)\/16*496\/n and -91\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-424)\/(-12) + -20)\/((-4)\/6). Which is smaller: y or -3\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/3)\/d**(-1))\/(d**(1\/2)\/d**(-5)) assuming d is positive.\nAnswer: d**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -636 greater than or equal to -159996\/251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3999991 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 7 - -16 - 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4572*g**2 + 3*g - 3. Suppose 11 - 17 = -3*a. Let d be t(a). Let n = d - 329375\/18. Find the common denominator of 19\/130 and n.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**4\/4 + g**3\/3 + g + 15. Let z(v) = 7*v**3 - 4*v**2 - 6. What is 6*l(q) + z(q)?\nAnswer: q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5725131ml in litres?\nAnswer: 0.0005725131","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59004642*h*o - 89750434*o wrt h?\nAnswer: 59004642*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -15, -20, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, -5, -75, -1340 in ascending order.\nAnswer: -1340, -75, -65, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1162 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/4 (b) -3260\/3 (c) 0.5 (d) 3\/7 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13340 and 4599632.\nAnswer: 2668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 19*n - n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26\/3? (a) 5 (b) 0.5 (c) -354\/19 (d) -5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -103217 < -103212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.33 and 12.9?\nAnswer: -4.257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) 2 (c) 3898\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3*f + 11 = 0, 2*g = g - 2*f - 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*g + 6*g**4 + g**4 + 4*g**4 wrt g?\nAnswer: 132*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*s + 0 - 2 = 0, -5*s + 11 = 2*i. Let o(t) = 0 - t - t - i. Let d(m) = m + 2. Calculate 4*d(u) + 3*o(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-3) + (-3)\/(-9). Let l(f) = -3*f + t - f + 2*f - 6*f. Give l(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3406*q + 10207*q - 3401*q - 3401*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19931251830*q**2 + 19931251830*q**2 - 3*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19\/2 (b) -3.06 (c) -0.5 (d) -0.0049\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-90)\/(-150))\/(6\/50)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/9 and (26352\/(-330))\/(-9) + -9.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -176*o**2 - 936*o + 931. What is g(1)?\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2354 and 31566260.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*a - 1306, -3*l - 1299 = -5*a + 2*a. List the prime factors of a.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6331 and 4458363.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {p: 10, x: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10944 and 1254?\nAnswer: 120384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + 2c?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -2.9?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -25.46*0.09\nAnswer: -2.2914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2052 rounded to one dp?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q**5 + 2*q**5 - 4*q**5)*(7 - 2 + 6).\nAnswer: 55*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -532814705 minus -11.1497?\nAnswer: -532814693.8503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2313 + -8?\nAnswer: 2305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171564 and 612.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8*n + 12. Let o be h(-2). What is the tens digit of (-6)\/o + 749\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -37 (b) -0.1 (c) 17\/2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 243*s**2 - 2*s. Let f(y) = 1423*y**2 - 1420*y**2 + 4 - 4. What is x(f(d))?\nAnswer: 2187*d**4 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/6 and 43\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 9*q + 13 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/4 of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - d = 0, 0 = 4*g - d - 19 + 7. Let i(r) = -3*r + 6*r - r - 3*r + 7. What is the units digit of i(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y + 31. Let d be m(-3). Suppose -3*l + 3*i + 0 = -21, 2*i - 2 = -2*l. Solve -2*a + d = -5*z + 4, 2*a + 6 = -l*z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*1*sqrt(105) - sqrt(105)) + sqrt(105))\/(2*sqrt(847) + sqrt(847)))\/(5*-3*sqrt(2187)).\nAnswer: 2*sqrt(5)\/4455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1040 - -1180. What is the highest common divisor of l and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1042*o - 100122 = 633*o - 2033*o for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 n when four letters picked without replacement from {n: 10, v: 1, d: 9}.\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(4\/6) + -79. Let a = 179 + v. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 10*k**2 + 318*k - 3198. Determine r(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(2 + 9\/(-6)). Let w be (30\/5)\/(-18) + (-393)\/(-1161). Let h = w + 371\/3096. What is the closest to 0.1 in c, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5875*f + 4 - 4 + 1184*f - 1096*f.\nAnswer: -5787*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 104\/6*(-3)\/(-2). Suppose -b - 6 + l = 0. Let i = 11 - -1. Calculate the least common multiple of i and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 16 = 4*w, 0*w + x = 2*w + 14. Let t be (-14 - w)*2\/(-4). Let d(i) = -5 + t - 3*i + 2*i. Calculate d(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21.65 - 22. Let o = 0.05 + s. Let t(q) = -q - 5. Let k be t(-5). Which is the second biggest value? (a) k (b) o (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g - 13*g + 1 - 7 to k*g + x and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -708*(-12 - (-116)\/12).\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 29*a**2 + a. Let n(g) = 27083*g. Give n(d(l)).\nAnswer: 785407*l**2 + 27083*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 45200373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 668 a factor of 821856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 2. Let x be (-1 - -1) + -9 + 0. Let s(m) = -2*m - 678 + 1312 - 630. Determine x*y(j) + 4*s(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - 8 = 3*k, 2 = -u + k + 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 786003 and 21971?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1232647769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80800?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12992, 26804, 40616, 54428?\nAnswer: 68240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -456, -1823, -4110, -7323, -11468, -16551, -22578, -29555?\nAnswer: -37488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-8 + -5) - (-1 + -26 + -69).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**5 - 47500*a**4 + 2290615*a**3 - 8639830*a**2 + 10597840*a - 4201120 = 0. What is a?\nAnswer: -9548, 1, 2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5123051233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 336 and 16?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 15 - 0 - (17 - 17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/128355 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 174874 and 8?\nAnswer: 699496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + k + 3*k + (-4*k + 2*k + k)*(1 + 4 - 3) + k - k - k)*(3 + 3 - 1)*(-3*k - k + 2*k).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - z - 5. Let y be r(4). Let k = y + -21. Suppose -c = -k*c + 96. What is the highest common factor of c and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 4*q + 38, -13*q = 2*i - 16*q + 48 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(45)\/(sqrt(36)\/sqrt(4)).\nAnswer: -2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -21010101 (base 4) to base 8\nAnswer: -110421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -436694*g**3 + 14158809*g**2?\nAnswer: -2620164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/5)*p)\/p*p*p**8*(p**(-1\/3)\/p)\/((p**3\/p)\/p)*(((p\/(p*p**(2\/29))*p)\/p)\/p**8)\/(p**(-1\/4)*p**1) assuming p is positive.\nAnswer: p**(-4441\/1740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y = -85. Suppose 0 = 4*t - y - 19. Is 13 a factor of 78\/t*3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b + 1508*b**2 + 1498*b**2 + 1519*b**2 - 4698*b**2 + 8*b.\nAnswer: -173*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.158 + 15.942. Let j = k - 16. Let t = 1 + 1. Which is the closest to j? (a) 0 (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m - m - 4*m)*(-4 + 4 + m)*(799 - 380 - 386) as h + f*m**2 + z*m and give f.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 22*s - 3. Let b(m) = 21*m - 4. Let r = -11 - -9. Let j(y) = r*b(y) + 3*g(y). Is j(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 10*m**2 + 5*m - 43. What is the remainder when g(-8) is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2. Let b(j) = -390*j. Give t(b(r)).\nAnswer: 152100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-2) - 2) + (-8)\/(-2). Solve 1\/2*d**3 - h*d - 1\/2*d**2 + 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -5. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15908*a - 13061.\nAnswer: -15908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + z + z + 500 = 0, d + 4*z - 122 = 0. Let i = d + -52. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92484 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84226 and 2?\nAnswer: 84226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(((d\/(d\/(d**(-2\/3)\/d)))\/d)\/d*d*d)*d)\/(d\/(d**(-1\/19)*d)) assuming d is positive.\nAnswer: d**(206\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 205, 251, 333, 451, 605?\n\"Answer: 18*z**2 - 8*z + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 5*b**2 + 7*b - 7. Let w be k(3). Let g be ((-18)\/w + -4)*4. Put -3, 0, g in descending order.\nAnswer: g, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -54*a**2 - 3*a + 2. Let z(q) = 26*q**2 + q - 1. Give -2*n(f) - 5*z(f).\nAnswer: -22*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 less than -17.725?\nAnswer: 1.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00045609 to 6 dps.\nAnswer: 0.000456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -6*r**2 - 9*r + 11\/6*r**3 + 1\/20*r**5 + 0 - 3\/4*r**4. What is the units digit of u(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - 4*r**2 + 2*r**2)*((2*r - 4*r + r)*(-3 + 2 + 0) + 2*r - 1 + 1 - 3*r - 2*r + 3*r + 4*r - r + 0*r).\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*l - 635 + 110 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -613230*g**3 - 5*g**2 - 49400*g.\nAnswer: -3679380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 8*r + 4. Let g be p(8). Suppose g*a = -4*c + 140, 2*a = -3*c - 0*a + 100. What is the greatest common factor of c and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -4, 0.1, 0.4 in decreasing order.\nAnswer: 0.4, 0.1, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -1 + 0 + -2 + 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3167092, -6334191, -9501300, -12668419, -15835548, -19002687?\n\"Answer: -5*j**2 - 3167084*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 7 = 26. Suppose o - 4*g + 5 = 0, o + 4*g - r = -0*g. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - -6. Let n(m) = 2*m + 1. Let j be n(1). Suppose 13 = -j*d + 28. What is the remainder when i is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 304 = -5*x. What is the remainder when (x\/(-5))\/((-2)\/5) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487244121 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -202, -208, -216, -226, -238, -252, -268?\n\"Answer: -u**2 - 3*u - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*sqrt(5) + 0.\nAnswer: -5 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.821 or 1?\nAnswer: -0.821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 10:01 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -20*q. What is l(-3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23222102 (base 5) to base 9.\nAnswer: -351265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 84*q**2 + 921*q - 920. What is n(1)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/(-3) - 3\/9. Suppose 0 = 2*a - j*a. Suppose -5*h = -2*s - 18, -24 = -5*h - 4*s - a*s. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4100664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/33, 0.5.\nAnswer: -0.4, 1\/33, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n - 3*n + 2*n)*(-3 + 3 - 1)*(-1 - 1 + 3) + (4 - 5 - 35)*(0*n + 2*n - 9*n).\nAnswer: 247*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*h - 6, 6 = -0*v + 4*v + 3*h. Solve v = 4*u - 6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 99 in -36, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9946*n - 7981*n = -3388*n - 654255 for n.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 8*v + 11. Let c be z(-7). Suppose c*i - 507 = 3*m + 2*i, 15 = 5*i. Let j = -30 - m. What are the prime factors of j?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-23514)\/(-2) - (-515 - -518)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 0, 23, 58, 111, 188?\n\"Answer: w**3 + 16*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -288, -5, 0, 3 in decreasing order.\nAnswer: 3, 0, -5, -288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - (-2*sqrt(242) + -1)) + -1 + (sqrt(242)*-2 - sqrt(242)))*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4037 and -50.9.\nAnswer: 3986.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 + 26*h + 2. Let i be g(13). Let b(q) = -1. Let p(t) = 0 - 2*t**2 + t**2 - 1. Give i*b(o) - 2*p(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) - (-4*sqrt(200) + sqrt(200)))*3 - sqrt(200)) + -3 + (6*(0 + sqrt(200)) + sqrt(200) - -6*sqrt(200)*2) + -5 + -2)**2.\nAnswer: -6000*sqrt(2) + 180100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.106162 to four dps.\nAnswer: -0.1062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*f**2*l*o - f**2*o*t + f*l*o*t + f*l*o + 95*f*l*t wrt f?\nAnswer: -30*l*o - 2*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -4 + 3 + -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -28 in increasing order.\nAnswer: -28, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -239018 - -4.\nAnswer: -239014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8100 and 15.\nAnswer: -8085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-56)\/(-35)*4\/((-8)\/(-15)) and 52?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/14 - 32\/(-14). Let p(u) = u**3 - 2*u + 3. What is the units digit of p(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 759453220 > 759453221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11001000100001110010 (base 2) to base 12\nAnswer: 3373aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k**3 + 891*k**2 + 224*k - 1779. Determine a(223).\nAnswer: -1556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-1)*w*w))**(-2\/39)\/((w*(w\/w**(-3\/4))\/w*w)\/w*w**(-4))*((w*w**5)\/w*w**(-5))\/(w**(-4)\/(w*w**(-3\/2))) assuming w is positive.\nAnswer: w**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/sqrt(192) + sqrt(7)*-1*-6.\nAnswer: 25*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30 + -2 + -1 - -2. Let h be (-1)\/((-1)\/11) - -3. Suppose -27 = -j - 5*q, -5*j + o = 2*q - h. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 3, -2, 1074 in descending order.\nAnswer: 1074, 4, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -380326, -760651, -1140976, -1521301, -1901626, -2281951?\n\"Answer: -380325*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66 - 193*n**2 + 34 + 25 to f*n**2 + l*n + w and give f.\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and -2.5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.04 (b) 3\/2 (c) 5\/6 (d) -3 (e) -96\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 658054 divided by -310\nAnswer: -329027\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -35 in increasing order.\nAnswer: -35, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1943 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/(-3) + (-3 - 0). Let y(z) be the first derivative of 0*z**2 - p*z**3 - 3 + 0*z. Let f(i) = -2*i. Give f(y(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 0.6. Let y be (-334)\/(-240) - 28\/(-70). Let h = -5\/3 + y. What is the second smallest value in h, 4\/9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 56 = a, 168 = -3*a - 0*a - 5*g. Let b be 111994\/8 - 42\/a. What is b rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 + -1 - (-225 - (236 - 435)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 + 5*p**2 - 2. Let v be j(2). Solve 0 = -v*q + b, -b + 3*b = -q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -70*w - 15. Calculate k(-1).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**5 - 50*b**4 - 65*b**3 + 160*b**2 + 340*b + 160 = 0. What is b?\nAnswer: -8, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1.1024 + 1238\nAnswer: 1236.8976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1934833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - a = -6*a + 10, 5*q + 3*a - 6 = 0. Solve 5*n - n + 4 = q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -8835*b - 310. Let t(m) = -256*m - 9. Let y(n) = 9*j(n) - 310*t(n). Let v(a) = -18*a. Determine y(v(c)).\nAnswer: 2790*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 106 + -106.3. Which is the closest to 1? (a) 2 (b) -16 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(-h - h + 3*h)*(-60*h - 23*h - 5*h).\nAnswer: -176*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 2*s**2 - 4*s**3 + 0*s - 3*s**3 + 3*s**3. Let v be u(1). Which is the nearest to -0.1? (a) 3\/5 (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2 - 16*x + 13 + 0. Let f(c) = 3*c - 2. Let t be ((-11)\/3)\/((-2)\/6). Let w(m) = t*f(m) + 2*y(m). What is w(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/3 and 7\/473?\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 11:05 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4184, -4185, -4186?\n\"Answer: -x - 4183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27805, 27797, 27789, 27781?\n\"Answer: -8*g + 27813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52920 in 5, 0.03, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from {j: 3, d: 13}.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1221*r = -2623 - 49880 for r.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 408503 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 7. Let y = -72166 - -72161. Put y, n, 11 in decreasing order.\nAnswer: 11, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from xpsirprissxsssi.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 - 4 + 4 + (4 + 0 - 3)*(0*s**2 - s**2 - 2*s**2).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3779*v**3 - 3 + 3782*v**3 - 7479*v**3 + 3.\nAnswer: 82*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*z - 12 = 0, -z - 2*z + 7 = 2*h. Solve -h*b - 3*b - 10 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 316 and 1027492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 22*b**3 + 0*b + b.\nAnswer: -22*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20518?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1)*u)**(5\/12))**(3\/7) assuming u is positive.\nAnswer: u**(5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v. Let p(s) = -8048172*s. Calculate o(p(l)).\nAnswer: 32192688*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2491901557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2475?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from mcmmc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*d - 8 = -5*d, t - 2 = -d. Suppose 3*s - 1 = -4*p, -t = p - 2*s - 20. Sort 0, p, -1 in decreasing order.\nAnswer: p, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(32\/4)\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8, 6, 5 in decreasing order.\nAnswer: 6, 5, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923734278.\nAnswer: 2, 3, 227, 331, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 + l**5 + l**5 + 3*l**5)*(-5 - 4 + 4)*(-6 + 3 + 1 + (-5 - 1 + 5)*(-1 + 4 - 2) + 5 - 1 - 2 + 5 - 2 - 4 + 6 - 3 - 2).\nAnswer: 25*l**5 + 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 8*h**3 - 2*h**3 - 6*h - 152*h**4 - 150 + 9*h - 128. Let d(q) = -150*q**4 + 4*q**3 + 2*q - 277. Let m(r) = 3*d(r) - 2*z(r). Differentiate m(a) wrt a.\nAnswer: -584*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3367 to the nearest one hundred.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 367 - -1130. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*j**4 - 1105*j**3 - 2670*j**2 + 3285*j + 4860 = 0. What is j?\nAnswer: -108, -3, -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) -297 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4926 is divided by 2456.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*m - 8 + 70, -3*b + 2*m = -36. Let p be (16\/(-90))\/(-4)*b. Factor -p*k + 2\/9 + 2\/9*k**2.\nAnswer: 2*(k - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 10. Let g be 0\/2 - (x + 2). Suppose g*j = 27 + 5. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 25 = -f. Suppose -4*v + f*v = 12. Let i = v + -9. What is the nearest to -1 in -3, i, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -11*y**2 - 3. Let o(h) = -18*h**2 - 5. Let x(k) = 5*a(k) - 3*o(k). Let v(u) = 319*u**2. Determine v(x(n)).\nAnswer: 319*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 57029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1714 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fshshfssssff. What is prob of sequence fhhs?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3\/7 - 760*h**2\/7 + 40658*h\/7 - 184040\/7 = 0.\nAnswer: -428, 5, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 19 + l + 0*l + 9*l. Calculate the remainder when v(4) is divided by (15 + (-560)\/32)*124\/(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -11. Which is smaller: v or -9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m = -4*j + 51, -118596*j + 118591*j + 55 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10aa + 8023?\nAnswer: 9122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q - 96. What is the remainder when g(27) is divided by 56?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 28 - 79. Let x = w - 15. Let v(z) = -x*z + 2*z - z. Let n(p) = 5*p**2. Give v(n(a)).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45.2673 + -9.2589. Let j = -36 + i. What is j rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-62)\/(-1085))\/((-2)\/(-20))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4 = 0, -7 = 5*d - 3*s + 5. Let z = d - -5. Solve 3*j = 4*j + z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 792256486 minus 0.088?\nAnswer: 792256485.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14145 divided by -115\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/24 - (-34)\/(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/4 and ((-15)\/10)\/(1\/32).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -51*j + 43*j. Suppose -607*n = -611*n + 272. Calculate the lowest common multiple of j and n.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -580318*n**6 - 92293*n**2 + 2*n?\nAnswer: -69638160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39976*h + 40009*h + 132 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 24*u**2 - 3*u + 2. Let l be s(1). What is the greatest common divisor of l and 138?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -12. What is the second derivative of x - 4*x + 5*x + 3*x**b + x wrt x?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2. Let t(w) be the third derivative of -1\/60*w**5 + 4*w**2 + 0*w**3 + 0*w**4 + 0 + 0*w. Give t(q(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1596216*u. Let w(c) = 8*c - 2. Determine w(a(b)).\nAnswer: -12769728*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 11. Let n(q) = -2*q - 34. Let h(z) = -20*k(z) - 6*n(z). Suppose y = -3*m - 58 + 42, 2*m - 6 = y. What are the prime factors of h(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5167 and 1.0753.\nAnswer: 5168.0753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 28.79842ms?\nAnswer: 28798420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*q + 462 = -403 - 665 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 256390 to the power of 1\/2, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 2*x**2 + x**2)*(x**3 + 0*x**3 + x**3) + 2*x**5 - 3*x**2 + 3*x**2 - 2*x**5 - 7*x**5 + 2*x**5.\nAnswer: -3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 16*b**3 - 6*b**2 + 5*b - 16 + 15*b**3 + 8*b**3 - 40*b**3. Let p be c(-7). What is the nearest to -14\/11 in 0.5, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.196.\nAnswer: 0.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -5. Let r = 73 + -71. What is the nearest to s in -1\/7, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(-2*x**5 - 742755*x**2 - 85 + 742755*x**2).\nAnswer: -4*x**5 - 170","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12.2 or 11652.155?\nAnswer: 11652.155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/238 and -77*8\/31280*5*1.\nAnswer: 5474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50422199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 4*m**3\/3 - 13*m**2\/2 - 7*m. What is the first derivative of d(p) wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 8, 1, -10, -25?\n\"Answer: -2*v**2 + 3*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10, 13, 10, 1, -14?\n\"Answer: -3*r**2 + 12*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, 31, 103, 245, 481?\n\"Answer: 4*f**3 - f**2 + f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/18)\/(2\/(-6)). Suppose -5*h - 3*l = 13 - v, -16 = -3*h + 4*l. Suppose h*a + 4*a = -5*u - 10, -2*a + u = -2. Which is smaller: a or 1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776357913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-240)\/(-50) - (-2)\/10. Let x(p) = -p**2 - 9*p**3 + 1 + 4*p**3 + u*p**3 + 6*p**3. Give x(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(204)\/sqrt(108))**2.\nAnswer: 2*sqrt(17) + 98\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2236 = 2*q, 3*m = -q + 2*m + 1118. Suppose 0 = 18*g - 5*g - q. What are the prime factors of g?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13282, 50841, 113440, 201079, 313758, 451477?\n\"Answer: 12520*d**2 - d + 763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from dmmpmcmdtmmmmdmmmcm.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/36 < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45446350753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -15\/52, -5, 4, -4\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 784361 (base 9) to base 11.\nAnswer: 2a0445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-12)*20\/200.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/50 and -11\/14.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.671411ns in microseconds?\nAnswer: 0.005671411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 0, -s + 7*u = 4*u - 78. Calculate the greatest common divisor of s and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 570 (base 12) to base 6.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48827239\/140 - -1737758\/5. Let y = j + 1214. Let u = -3627 - -21709\/6. What is the common denominator of u and y?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.97 + -0.03. Let l(h) = -2*h**3 - 14*h**2 - 5*h. Let c be l(-7). Let f be 13\/(c\/(-7) + 4). What is the second biggest value in -1, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/90290 or 0?\nAnswer: -1\/90290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 416*r**2 - 71232*r - 1370.\nAnswer: 2*(4*r - 685)*(52*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -7\/20*v**5 - 10*v + 5\/12*v**4 + 2 + 1\/2*v**2 - 1\/2*v**3. What is the second derivative of m(w) wrt w?\nAnswer: -42*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5084949806 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -11\/5, -1\/45, 6 in decreasing order.\nAnswer: 6, 0, -1\/45, -11\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*x + 59*x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuu when three letters picked without replacement from suuuuxucsuvuxt.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-8))\/((-4)\/(-72)). Let j(w) = -w**3 + 10*w**2 - 9*w + 7. What is the remainder when j(o) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)\/z)**(3\/28)\/(((z\/((z\/((z\/(z**(-1\/12)\/z))\/z))\/z*z))\/z)\/((z**(1\/5)\/z)\/z)) assuming z is positive.\nAnswer: z**(-881\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-18) + (-12 - -9).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1201*v - 40716 = 2192*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 15, 36, 67?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*r + 29009984 = 2*f, 0 = r + 4. Round f to the nearest one hundred thousand.\nAnswer: -9700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*u - 35. Suppose 0 = -3*c - u + 16. Suppose 0 = -c*v - 5*d + 3*d + 96, -5*v + 3*d + 141 = 0. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 14111?\nAnswer: -14113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 27711 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.84 + -0.66. Which is the closest to -1? (a) i (b) 0.4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/6)\/((-4)\/(-24)). Suppose -t - 133953 - 378045 = g*o, -o = -t + 128002. Round o to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5\/15 + 292*n**4\/15 + 170*n**3\/3 - 1144*n**2\/15 = 0.\nAnswer: -143, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 5 - 9 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18112*k + 18105*k = -14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -21*d**3 - 51*d**2 + 18*d. Let j(i) = -5*i**3 - 13*i**2 + 4*i. Let h be ((-161)\/(-21) - 7)*-3. Let g(n) = h*s(n) + 9*j(n). Solve g(v) = 0 for v.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 69*u + 575. Calculate h(-49).\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2880786 divided by -30\nAnswer: -480131\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1175 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(891) + 5 + 2)**2.\nAnswer: 126*sqrt(11) + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18b41 (base 14) in base 7?\nAnswer: -350311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*f + 0)*(2*f**2 - 3 + 3) - 34*f + 34*f - 3*f**3 - 12.\nAnswer: -7*f**3 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2\/5 (b) 3.2 (c) 18922\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + w = -5*m - 10, -32 = -4*m - 4*w. Let z be 172\/10 - m\/15. Suppose s = -2 + z. What is the remainder when 43 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1515 by -5.\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101000011011 (base 2) in base 14?\nAnswer: -2615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q**3 + 3*q**2 + 7*q + 4. Is w(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28731352, -57462704, -86194056, -114925408, -143656760, -172388112?\nAnswer: -201119464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2.8. Suppose -2*v + 6 = -4*v. Which is the closest to s? (a) -2 (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-2 + 0) - (-3 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -35 - -1b1?\nAnswer: 17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2543634088 to the nearest integer?\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - (sqrt(28) + 3 + sqrt(7)) - (sqrt(70)\/(sqrt(20)\/sqrt(2)))**2.\nAnswer: -10 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -114, -457, -1032, -1839, -2878?\n\"Answer: -116*u**2 + 5*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -653\/5 - -45047\/345. Is -1 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73601?\nAnswer: 11, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**4\/12 - 7*m**3\/2 + 41*m**2 + 2. Calculate b(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 5:28 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j. Let u(v) = 1771*v + 197. Calculate u(k(g)).\nAnswer: 10626*g + 197","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/24 - 9\/(-2). Let o be 14\/n + (-4)\/8. Solve o*r + 10 = -5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0389 - -0.7389. Which is the fourth biggest value? (a) p (b) 4 (c) 0.5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*l, 1 = -2*w + l - 1. Let u be (-23)\/(-2 - -4 - w). Let k = u - -16. Round k to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*c - 11, w = -2*c + 3 + 13. Let p(f) = f - 3. Let y be p(5). Suppose 0 = -3*m - y*m + 140. What is the highest common factor of w and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30 - -72?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72407 = -6162*h - 132031 - 394029 - 54705 for h.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -0.22299.\nAnswer: -4.22299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 21?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.9 - -11.6. Let d = -1.7 - -2. Sort d, u, 4 in decreasing order.\nAnswer: 4, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 6, -2, 312 in decreasing order.\nAnswer: 312, 6, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/9)\/n**(-8))\/(n**(1\/8)*n*n\/(((n**(3\/8)*n)\/n)\/n)) assuming n is positive.\nAnswer: n**(173\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59319 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-3)\/9 - (-9114)\/9112. Let c = 2943163\/59228 + k. Let p = 5623\/104 - c. Find the common denominator of 77\/4 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.16 bigger than -385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 22532\/(-262)*(-2)\/(-24)*3*2?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/10 + 0 + -10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2. Let b(i) = -i**3 - 4*i**2 - 3*i. Let d be b(-3). Let f(t) = t + d*t - t - t**2. Determine k(f(z)).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 133398 and 44466?\nAnswer: 133398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*m + 214*m - l - 10 = 0, -28 = -3*m + 5*l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 12*h = t - 7*h - 26, 2*h = 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*(-5 + (-2*sqrt(3072)*-6 - (-4 + sqrt(3072) + 1)) + -2)**2.\nAnswer: -45056*sqrt(3) + 5947648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, a: 1, i: 7}. What is prob of sequence rria?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 - -53. Let l = -115.0094 + z. Round l to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001099 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: Collect the terms in -18*i + 18*i - 14849*i**2.\nAnswer: -14849*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 10*d + 201 = -9*d, -45 = -p - 2*d. Calculate the remainder when 150 is divided by p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 36 = -0. Let q = x - -9. Sort -7, q, 1 in descending order.\nAnswer: 1, q, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 1\/5*h**4 - 21\/5*h**2 + 4\/5*h + 4\/5*h**3 + 28\/5 = 0.\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -11 + 3 + 2 + -1. Let h be (1 + c)\/(6\/(-111)). Suppose 0*t + h = 3*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 639482, 639488, 639508, 639548, 639614, 639712?\n\"Answer: w**3 + w**2 - 4*w + 639484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-9) + 100\/6. Let y(z) = z**2 + 2*z - 2. Let t be y(2). Let v = 10 - t. Solve 4*b - s = u, -v*u - 4*b - 2 = 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-4))\/(j*j**(2\/3)\/j)*j**(3\/8)*j*j**(-2\/11) assuming j is positive.\nAnswer: j**(-653\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 6*o**2 - 3*o - 6. Let k = 13 + -8. Suppose 0 = k*m + 17 - 187. What is the remainder when m is divided by b(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 260*z. Let n(c) = 29*c. Let m(f) = -26*n(f) + 3*w(f). Let g(y) = 2*y**2. Determine g(m(a)).\nAnswer: 1352*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + sqrt(110) + sqrt(110)*-1 + sqrt(110) + sqrt(110))\/sqrt(10)*-5 - ((2*sqrt(1100) - sqrt(1100))**2 + 2).\nAnswer: -1102 - 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4877403875 and -0.4.\nAnswer: 0.0877403875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/7 (b) 3\/4 (c) 2\/17 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 2) + (-1)\/1. Let z(m) = -m**3 + 3*m**2 + 6*m - 6. Calculate the remainder when z(h) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -r + 14, -2*r - 7*y = -2*y + 7. Let t(n) = -n - 6. Let m be t(-10). Suppose 24 = -m*z + 36. Solve 3*v = r + z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 930\/20*4\/6. Let i = z + -29. Let y be (-8)\/i + (-80)\/(-4). Solve -q + y = -5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -449 + 454. Suppose -87 = -o + 4*h, -88 = -3*o - b*h + 88. What is the highest common factor of 938 and o?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 33*f - 132. Let r be o(4). Solve t + 10*q - 5*q = -29, r = 4*q + 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 16*t + 132. Determine k(7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (315\/14 - -3)\/((-1)\/2). Which is smaller: -49 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39 (base 15) to base 13.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22055.1*-0.02\nAnswer: 441.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 - -51. Let n(z) = 5 + 0*z + 4 + z. Let m be n(-9). Solve m = 3*p - d + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y - 3. Let b(i) = -10*i**2 - 11*i**2 - 15*i**2 + 41*i**2. Determine b(a(g)).\nAnswer: 20*g**2 + 60*g + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2202 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: Let x(r) = 3*r. Let g = -4 - -8. Calculate the least common multiple of g and x(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10a756 + 7?\nAnswer: 10a761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -3. Let f = -6 + 9. Let a be 2\/(-4) + 0\/f. Which is bigger: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-81)\/(-28))\/(-27))\/((198\/(-12))\/(-11)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 197.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*s - 13*s - 20. Solve 0 = r - 5, -2*l + 11 + 6 = s*r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*2 + 5*(-3737)\/(-505)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 = -5*u + 301. Let n(t) = -14*t**2 + 225*t + 12. What is the remainder when u is divided by n(16)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -13, -39, 2\/15, -75, -11 in decreasing order.\nAnswer: 2\/15, 0, -11, -13, -39, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13649, -22311, -30971, -39629, -48285, -56939, -65591?\nAnswer: -74241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/43 or 247\/1929?\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o**5 + 8695*o**4 + 100350*o**3 + 575*o**2 - 256780*o + 147180 = 0 for o.\nAnswer: -11, -2, 3\/4, 1, 446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6507, 13015, 19523, 26031?\nAnswer: 32539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -459135, -918334, -1377533, -1836732, -2295931, -2755130?\nAnswer: -3214329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by -96807?\nAnswer: 32\/96807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -46*y**8\/7 + 4*y**5\/15 + 5*y**4\/24 + 7*y**3\/6 - 34*y**2 + 30*y. What is the third derivative of g(d) wrt d?\nAnswer: -132480*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*c + 17 = 0, -2*c - 20 = 3*c. Let q(g) = 3*g**2 + g - 8*g**2 + 1 - 2*g**2. What is q(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - k**2 - 3*k**2)*(-35 - 8*k + 35) + 0 + 2 + 394*k**3 - 330*k**3.\nAnswer: 80*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*z + 16, 3*z = 4*l - 27. Suppose 44 = -l*s + 14*s. Which is the closest to 2? (a) 4\/3 (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 + 2*t - 2. Let l be 20\/15*(-27)\/(-12). Suppose 0 = i - l + 5. Calculate the smallest common multiple of x(i) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.6 (c) 1\/26 (d) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2600 (base 8) to base 9.\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or 91687?\nAnswer: 91687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304 = -1003*f + 1006*f - 11*s, 49 = 4*f + s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 48, 34, 2, -54, -140?\n\"Answer: -w**3 - 3*w**2 + 2*w + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011111101 - -100?\nAnswer: 1100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 919.4888l?\nAnswer: 919488.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00023886151 to seven decimal places.\nAnswer: -0.0002389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5 - 7*j + 2*j + 9*j**2 - 39*j**2 + 13*j**2. What is u(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12665832899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 6 - 6)*((-1 - 4 + 4)*(-2*o + 3*o - 2*o) - 1 + o + 1).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14488 + 2?\nAnswer: 14501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/268969, -0.33 in ascending order.\nAnswer: -2, -0.33, 2\/268969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42606 and 39996?\nAnswer: 94670532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.7+708.7356551\nAnswer: 709.4356551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u = 18 - 54 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 4:11 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from ggt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 61762 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 819399 greater than 819399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16654 = -4*k - 3*d, -41*k = -44*k + 3*d + 12480. List the prime factors of k.\nAnswer: 2, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*2 - (-36108)\/10458) + -6 + (-414)\/(-63).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -24. Suppose -l*t = -10 + 20, 4*t = 5*a - 1605. What are the prime factors of a?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233 equal to 1227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.075024ml?\nAnswer: 0.009075024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-45))\/((-3)\/30). Suppose 2*g = -3*h + 94, -w*g - 10*h = -9*h - 94. Which is smaller: g or 49?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 58*j - 1760 = 0. What is the highest common divisor of j and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28595 - -31592. Put -2\/11, f, -0.4, -0.3 in descending order.\nAnswer: f, -2\/11, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 302 + -123. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 smaller than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -615 - -618. Suppose 2*k - c = 1744, f*k - 88 = 2*c + 2530. Calculate the remainder when k is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**4\/2 + 838*b**3 - 526683*b**2 + 147120118*b + 3105. Factor k(v).\nAnswer: -2*(v - 419)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/32*5\/(35445\/(-2)). Let l = y - -165372187\/70890. Factor -576\/5*t**2 + 0 + 3888\/5*t**3 - l*t**4 + 32\/5*t + 13122\/5*t**5.\nAnswer: 2*t*(9*t - 2)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*s - 12373 = 174847. Calculate the lowest common multiple of 2530 and s.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71100?\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-7))\/(x*x**(-4\/11))*((x*x*x*x**(-1\/3)*x*x)\/x)\/x**(1\/5) assuming x is positive.\nAnswer: x**(-523\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 9*a + 9. Let b be z(7). Let c be 1\/2 - b\/(-2). Suppose 53 = -12*d + 53. Put 5, d, c in increasing order.\nAnswer: c, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27.764 + 0.064. Let o = 28 + q. What is the second biggest value in 4, o, -1\/25?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 9 = 3*n, -3*t - 2*t = -5*n - 15. Suppose 5*u - 4435 = -5*h, t = 5*h - h + 8. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -3*c**5\/35 + c**4\/7 - c**3\/21 + 5. Factor p(v).\nAnswer: -v**2*(v - 1)*(3*v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j = -25*j + 66147. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 9 + -24 + (15 - 11) + 6.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10319534*g**4 + 19399114 wrt g?\nAnswer: -41278136*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2484, -2634, -3118, -4104, -5760, -8254, -11754?\n\"Answer: -28*c**3 + c**2 + 43*c - 2500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 76*w.\nAnswer: 4*w*(w + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 122, 277, 416, 533, 622, 677, 692, 661?\n\"Answer: -n**3 - 2*n**2 + 168*n - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 6:28 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8705911 take away 26?\nAnswer: 8705885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**3 - 39*m**2 + 215*m - 16. Let z be v(15). What is the highest common factor of z and 291?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 + 11*k**2 + 5*k + 11. Let w be h(6). Let z be (-4)\/1 + 5\/(5\/97). Let u = -92 + z. Solve -b - w = -u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2285*p**2 - 15978*p + 123. Give k(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 3. What is the remainder when c\/(-2 - -1)*-5 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -64*t**3 + 2*t**2 + t. Let k(i) = -i**3 + i**2 + i. Let g(s) = k(s) - q(s). Find the third derivative of g(b) wrt b.\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -24. Let m(v) = -2*v + 1 + 2*v + v. Calculate m(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 629?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4.9 * -8201546\nAnswer: -40187575.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122412.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 3.1. Suppose -j + 4 = -2*j. Let n be 4\/(-14) + 69\/168. Which is the nearest to f? (a) n (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 5*f + p, -4*p - 16 = 4*f + 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 8*z**2 - z - 5. Let w be p(3). Is -4*((-21)\/12)\/7*w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*g, -2*v = -0*g - 3*g - 44. Suppose 5*n + 4*c - 18 = 3*n, 2*c = -2*n + v. Solve -7 = 5*d + r, 7*d = 5*d + r - n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 + -21. What are the prime factors of r?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 459 times -151\nAnswer: -69309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001596118787 rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 103523681 to the power of 1\/2, to the nearest integer?\nAnswer: 10175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -56676347.31 to the nearest 1000000.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -843 by -281.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n - 2*v - 210 = 17*n, -6 = -2*v. What is the least common multiple of 126 and n?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3128.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(76) + 0 + 0 + -2*sqrt(76) + -5 + sqrt(76)))**2 - ((1*sqrt(2736))**2 + 2 - (sqrt(38)\/sqrt(2) + sqrt(19) + 0)*4).\nAnswer: -2638 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116275056?\nAnswer: 2, 3, 887, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 10692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10465957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnncc. Give prob of sequence cc.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -1 - -3)*(9 + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + -1 + (1 + sqrt(405) + 0)*4*1))**2 + 0.\nAnswer: 14400*sqrt(5) + 163600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 1040 = 950 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 85552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 34 (c) -2 (d) 48 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392995162?\nAnswer: 2, 7, 28071083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 3*t**2 - 4*t - 2. What is v(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 862 - 859. Let g(p) = -2*p**3 + 3*p**2 - p + 2. What is g(o)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 5185*o**3 - 30762*o**3 + 2.\nAnswer: -35947*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/11257497 and 103\/111168.\nAnswer: 720479808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**10\/(h**(-8)*h)*h**(-9)*h**(-2\/43) assuming h is positive.\nAnswer: h**(342\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 5. Let o be l(5). Let r = 104957\/40 - 2624. Is r < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272 and 1003.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 0. Let c be (7 - 1) + (-84)\/15. What is the closest to c in -9, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -239246 divided by -23\nAnswer: 10402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22349924.\nAnswer: 2, 37, 151013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of ((-23)\/(-2))\/((-77)\/(-70) - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 790 + 1428. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -45160 + 413?\nAnswer: -44545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 - 10*k**3 + 2*k**3 - 84.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + a**2 + 2*a + 5. Let v be j(0). Suppose 2*o - 29 = -v*w, -2*w = 3*o - w - 11. Let q(t) = 97*t - 1. List the prime factors of q(o).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 139355.\nAnswer: -4\/139355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/2)\/(12\/8). Let z(g) = -306*g**3 - g. Let f be z(n). Suppose 2*r = b + f, 0 = -3*b + 6*b + 9. Calculate the greatest common divisor of r and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0*d = 5*d - 275, 2*z + 3*d - 113 = 0. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q + 22*q - 372 = -16*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -824\/21 + 3425\/84. Let m = -406\/3480165 - 14969910889\/9111071970. Let w = 2\/6545 + m. Find the common denominator of f and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.2 (c) 132 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3*w - 2\/15*w**2 + 14\/5.\nAnswer: -2*(w - 21)*(w + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 2*o - 2*o)*(1 - 4 + 5) - o - o**2 + o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 532?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.053604334 to 5 dps.\nAnswer: -0.0536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 145 - 142. What is the smallest common multiple of j and 26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.495347092 to 3 dps.\nAnswer: 0.495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8608547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -11 + (-1)\/((-6)\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o - 3*x + 9*x - 87 = 13*o, -12*x + 13*x - 10 = 3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3590368*h**2 - h - 1795159*h**2 - 1795184*h**2 + h.\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214666.\nAnswer: 2, 181, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1482 + 1422 = 10*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {u: 2, h: 2, p: 3, w: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**4\/7 - 936*z**3\/7 - 9963*z**2\/7 + 2630976*z\/7 + 8653824 = 0. Calculate z.\nAnswer: -32, 63, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, d: 2, a: 1, p: 4}. Give prob of picking 1 s and 1 a.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1107 at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1842786.\nAnswer: 2, 3, 11, 41, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125801 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 3*s - 1. Let m(n) = 6*n**2 + 118*n - 3. Calculate -m(q) + 3*v(q).\nAnswer: -3*q**2 - 127*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-192)\/(-20))\/(-2)*(114\/12)\/19\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/760 and 93\/16.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((345\/(-90))\/23)\/2.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, g: 1, s: 2, v: 1, x: 4, l: 4}. What is prob of picking 1 v and 1 l?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.216*-1\nAnswer: 0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02366 and -15.1?\nAnswer: -0.357266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 951390 by 18.\nAnswer: 52855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j = 5*s - 2499996, 3*s = 2*j + 1500008. Round s to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/35)*(((q*(q*q**(-1\/3)*q)\/q)\/q*q*q)\/q)\/q*q**(1\/2)*q*q*q*q**(-1\/5) assuming q is positive.\nAnswer: q**(821\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f - 2*f + f)*((2*f - f + f)*(2 + 1 - 5) - f - 5*f + 5*f - 5*f + 0*f + 4*f) to the form t*f + i + y*f**2 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -522, -850, -1060, -1146, -1102, -922?\n\"Answer: c**3 + 53*c**2 - 494*c - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 978054383 to the power of 1\/2, to the nearest integer?\nAnswer: 31274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -x**3 + x**2\/2 + 12*x. Let s(j) = 2*j - 1. Let q be s(-3). Is v(q) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85150 take away -21547503?\nAnswer: 21462353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4824 and 2211.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 243321721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 2. Let q be 18\/4 - (-15)\/10. Let i(u) = 2 + 7 - q. Determine 2*i(m) + 3*p(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695 is divided by 230.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/5)\/c**2 assuming c is positive.\nAnswer: c**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**4\/5 - 954*j**3\/5 + 23406*j**2 - 154630*j = 0 for j.\nAnswer: 0, 7, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 15. Let i be 6\/8 - r\/(-20). Solve i*f + 4*l + 8 = -2*f, 0 = 5*l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2330523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191811900.\nAnswer: 2, 3, 5, 7, 241, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(99) + sqrt(55)\/(-4*sqrt(5)))**2.\nAnswer: 11*sqrt(11)\/2 + 1347\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2960, 4524, 6086, 7646?\n\"Answer: -p**2 + 1567*p + 1394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f - 22. Let h(g) = 1. Let s(b) = -2*h(b) - i(b). Let w be s(-5). What is q in 0*q**3 - 37*q**5 + w*q**3 - 10*q**4 + 10*q**2 - 5*q + 42*q**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**14\/(n*n**(-2\/21)))\/((n\/(n\/n**(-10)))\/n**(1\/6)) assuming n is positive.\nAnswer: n**(977\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 350795909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.25, 10, 3\/2977?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -26 - 70. Suppose 0*p = -8*p + u. Solve -f - p*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 7*a - 96, 31*i + 36 = -2*a + 28*i + 98 + 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -21. Do u and -22 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, 8338, 5.\nAnswer: -1.2, 5, 8338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1433183?\nAnswer: 5\/1433183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = 55 - 27 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 - 5*o - 6. Let l be j(4). Suppose -l*c - 13 = -751. Calculate the least common multiple of c and 27.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 - 26590*a**2 - 175769088*a + 13152924576.\nAnswer: -(a - 74)*(a + 13332)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*4*1\/(-1). Let c be (6\/l)\/(2\/8). Let n(h) = h**2 + h + 3. Let b be n(c). Solve -4*j + 4*w - 2*w + 10 = 0, -2*j + 5*w = -b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000101000110111 - 10001000001111?\nAnswer: 1110100000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1159 is divided by (-120)\/(1*-3)*4104\/285.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b5 - -132?\nAnswer: 7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4)*0*-1. Suppose 0 = -a*w + 4*w - 52. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 17173.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -a7a99?\nAnswer: -a7aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1281 (base 10) in base 7?\nAnswer: -3510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1562*a + 25194 = -376*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 4*t + 10. Let q be f(5). Let j(w) = -w**2 + 18*w - 13. What is the tens digit of j(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116579310 divided by -83.\nAnswer: 1404570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 236895 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3.01. Let t = -0.11 + g. Let n = 5 + -1. Which is the third biggest value? (a) 5 (b) t (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6)\/f**(-6) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 11*y + p = 9*y + 255, -3*p = 6*y + 132 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144960?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fefffeffefeffffffff. Give prob of picking 1 f and 3 e.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -59*d**4\/24 + d**3\/3 - 4*d**2. Let y be a(-2). Suppose 0 = z - 4*z + y. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3709308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 142 = -w. What are the prime factors of w?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695370?\nAnswer: 2, 3, 5, 13, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 773077599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30274987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0991 - 0.4009. Sort -41\/16, v, 3.\nAnswer: -41\/16, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 7:01 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 71*j**2 + 77*j + 138. What is the thousands digit of h(-41)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b = 30*b - 10. Suppose b*g = -g. Solve g = -4*t - 3 + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((294\/(-539))\/(8\/(-22)))\/((-70)\/20)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 5, -2, -4, -1, 16, -3 in decreasing order.\nAnswer: 16, 5, -1, -2, -3, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 880560 or 880558?\nAnswer: 880560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*b - 4 = 1, 3*b = -12. Let z = v - -9. Calculate the greatest common factor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*q - 102 = 0, 5*s + q - 26 = 4*s. Suppose -4*f + s - 8 = 0. Let u be ((-8)\/10)\/((-2)\/f). What is the third biggest value in 5\/2, u, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*g + 303*g = -3*h + 23, -5*h - 3*g + 61 = 0 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21203342 - 211?\nAnswer: 21203131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h**2 + 25*h + 79. Calculate y(-3).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 7*f**2 + 5*f + 5. Suppose 30 = -14*q + 16*q. Let v(u) = u + 1. Let p(z) = q*v(z) - 3*x(z). Let d(l) = l. Give d(p(g)).\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -58, -87, -138, -217, -330, -483, -682?\nAnswer: -933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 4:03 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 59\/8 greater than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/88)\/(((-2610)\/24)\/87)\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**2 - 3*h**2 + 2*h**2)*(4 - 4 + 2*h) - h**3 + 3 - 10871747*h + 192*h**2 + 3*h**3 + 10871746*h in the form x + l*h**3 + v*h + t*h**2 and give t.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**4 + 8*u. Let m(k) be the first derivative of -k**5\/5 + k**2\/2 + 1. Let o(n) = -5*m(n) + v(n). Find the second derivative of o(w) wrt w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -12. Find the common denominator of p\/50*94\/6 and -101\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424767046381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.53554415 and 0.06.\nAnswer: -0.032132649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ottpzttzizok. Give prob of sequence kip.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 24 = -51. Let m be ((-2)\/(-4))\/(3\/24). Suppose m*f = -f + v. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 11:50 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 175374252358 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -471 divided by -56\nAnswer: 471\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -35, -1\/6, -0.038, 2\/7, 22?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1232 and -59\/7183904?\nAnswer: 79022944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 0*x - 5, 0 = -2*t + 3*x - 19. Suppose 6 = -4*q - 2. Is t <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 2*d**2 + d + 2. Let h be g(-1). Solve h*n = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1892282394 plus -23711?\nAnswer: -23711.1892282394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3) - (-1)\/(-2). Suppose 3*v = -5*n + 5, 0 = -3*n - 5*v - 0*v + 3. Let x = -168 + 163. What is the third biggest value in x, q, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k = 15. Suppose -8*l - 533 = -141. Let m be (k + -2 - l)\/(-1). Round m to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d + 14. Give q(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 5*n + 3. Let f be h(-6). Let a(s) = -3*s + f*s - s**2 + 1 - 6. Determine a(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 14 = -22*d. Let s(m) = -7*m. Give s(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71 + -215\/3. Let n(x) = x + 9. Let z be n(-5). Let d = -0.039 - 2.361. What is the closest to 1 in g, z, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 41.5.\nAnswer: 39.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 4 = 26. Suppose 2*c + 16 = -2*c. Let x be (n - -150) + (-2 - c). Calculate the highest common factor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, 215, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*y**2 - 10*y**2 - 11*y**2)*(-2*y**2 + 2*y - 2*y) to the form x*y**2 + g*y**3 + a*y + i + c*y**4 and give c.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/3)\/((-1)\/3). Let j(h) = -2 + 6724*h**3 - 13461*h**3 + 6732*h**3 - 2*h. Let d(z) = -6*z**3 - 2*z - 3. Give f*d(i) + 5*j(i).\nAnswer: -i**3 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.121266 litres in millilitres?\nAnswer: 2121.266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 divided by -5076.\nAnswer: 119\/5076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*h - 42*h - 1006. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 4*n + 8 = 24*v, 5*v - 18 = -n. Solve -2*q + 4*p = -12, -v*q + 5*p + 16 = -2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 68*k**2 + 13804*k + 20. Calculate q(-203).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(-28)*u**8*u\/(u**(-6)\/u)*((u**(-1\/6)\/u)**(-5\/7))**18 assuming u is positive.\nAnswer: u**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115708317 to the nearest integer?\nAnswer: 10757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283593511?\nAnswer: 283593511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 708 - 728. Find the common denominator of j and 79\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u - 69. Calculate the remainder when 402 is divided by q(25).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*s = 4*l - 1022, -1010 = -4*l - 5*s. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - (-31)\/3)*(-7 - -10). Suppose -4*s + 5*r + p + 1 = 0, 2*s = 2*r + 14. Is s smaller than 10\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -141*k**4\/4 + 13*k**3\/3 + 41*k**2. Let f be n(-8). Suppose -3*g = -4*o + f - 558, 3*o - 5*g - 4677 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*j**2 - 2*j**4 - 20*j**5 - 22*j**2 - 2*j**3 + j - j + j**5 + (2*j + 0*j - j)*(-4*j**4 + 6*j**4 + 0*j**4).\nAnswer: -17*j**5 - 2*j**4 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*t**3 - 50*t**3 + 279*t**3.\nAnswer: 458*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f*g*u - 18*f*g + f*u + f - 2*u**2 with respect to u.\nAnswer: 3*f*g + f - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 7:26 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5067 - 41?\nAnswer: 5026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110001100000011 (base 2) in base 13?\nAnswer: -205b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97903098647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 14*s + 4. Let v be i(-14). List the prime factors of 1\/v - 1085\/(-28).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 956392.6 litres?\nAnswer: 956392600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -26b09d (base 15) to base 13\nAnswer: -501676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 6490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence usf when three letters picked without replacement from {u: 3, i: 7, f: 2, h: 3, s: 3}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-754)\/52*5\/((-10)\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 376923273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 7:58 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 87*d**2 - 151*d**2 - 229*d**2 + (4*d + 2*d**2 - 4*d)*(-5 + 6 + 3)*(2 - 1 + 3).\nAnswer: -261*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -3, 3 in decreasing order.\nAnswer: 3, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/13)*u*u)\/u**10)**(15\/4) assuming u is positive.\nAnswer: u**(-1575\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 11000000 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 107874 (base 9) to base 3\nAnswer: 10021222111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1425 + 52.\nAnswer: -1373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6898*t + 3427*t + 3442*t. Let p(s) = 15*s**2. Calculate f(p(u)).\nAnswer: -435*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 + -53. Let b be (6 + (-371)\/14)\/(3\/o). Is 41 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 0 + 0*i**5 - 1\/42*i**7 + 0*i**2 - 163*i + 0*i**3 - 173\/12*i**4 - 1\/10*i**6. Find the third derivative of t(b) wrt b.\nAnswer: -60*b**2 - 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.9 (b) 3 (c) 4\/169 (d) 6.5 (e) -4 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m. Let f(k) be the third derivative of 0*k + 3*k**2 - 1\/2*k**4 + 0 + 11\/6*k**3. Let t(p) = -p + 1. Let v(z) = 2*f(z) - 22*t(z). Determine w(v(x)).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + -21. Let a = w + 26. What is the closest to -0.1 in 0, a, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 8*n**2 - 5*n - 104. Let q(h) = -10*h**2 + 6*h + 105. Determine -3*q(s) - 4*z(s).\nAnswer: -2*s**2 + 2*s + 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1775 + 1776. Let x = 1.8 - -7.2. What is the nearest to 0 in -4, h, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*u - 6 = 0. Suppose u*i + 32 = 4*i. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 23 = -2*k - 3, -2*k + 20*v - 90 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*l**2 - 71*l**2 + 2047*l - 2047*l - 1)*(-40*l - 18*l + 11*l) as r*l**2 + p*l**3 + d*l + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**5\/7 - 1085*o**4 - 14454987*o**3\/7 - 128449945*o**2\/7 + 1956611464*o\/7 = 0.\nAnswer: -3793, -17, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 2\/5 (b) 0 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 22*a**5\/9 - 6010*a**4\/9 + 316*a**3\/3 + 39124*a**2\/9 + 51254*a\/9 + 6370\/3 = 0.\nAnswer: -1, 35\/11, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 421093690 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 - (-52)\/(-7) - 2\/(-3) and 131\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7.5477ug?\nAnswer: 0.0000000075477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 190?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723*j + 432 = 507*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 0*o**2 - 5 + 2*o**2 + 5. Let m(t) be the second derivative of -t**3\/3 - t. Calculate m(d(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 81*j + 427. Let l be v(-5). Calculate the greatest common factor of l and 539.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = u - 1, -2*u + 2 = -0*t + 4*t. Suppose t*h + 70 = 2*h. Does 24 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 579 = 173. Let o be (1296\/(-2))\/(-4) - 4. Suppose -5*y - 2*k + w = -98, o = 5*y + k. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/36)\/3 + (-6)\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 20*j + 27. Let q(n) = 56*n + 83. Calculate -11*l(h) + 4*q(h).\nAnswer: 4*h + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001586012423 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 332 - 0?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3825 and 250.\nAnswer: 38250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7220 and 2432.\nAnswer: 231040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1505001um to centimeters.\nAnswer: 0.00001505001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -219 - 7*y**2 + 16*y**2 + 219 to the form g + s*y + c*y**2 and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 678 = -74. Suppose 0 = -3*f + j + 119. What is the highest common factor of f and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = 4*w - j, 9*w - 226 = 4*w - 4*j. List the prime factors of w.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 0, 15, 46, 93?\n\"Answer: 8*t**2 - 9*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137 + -135. Solve -3*o + 4 = -m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**4\/12 - h**3\/2 + 5*h**2\/2 + 3*h. Let d be o(4). Solve 3*c + 0 + d = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -19, -1169917 in increasing order.\nAnswer: -1169917, -19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 98481024 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -17*o**3 - o**2 + 5*o + 6. Let x be u(-2). What is the highest common factor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - ((-95)\/15 - -7). Let o(m) be the second derivative of 0*m**2 - 1\/12*m**4 + 0 + 6*m - z*m**3. Let o(n) = 0. Calculate n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -1. Let y(s) = -s**2 + 2*s - 8. Let v(d) = -y(d) - 2*z(d). Let q be v(-5). Suppose -48*b + q*b = -315. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 23*a. Let x be o(5). Suppose -n + x = -310. Suppose -i + n = 4*i. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17460)\/140 + (-4)\/14. Sort 5, t, -1 in descending order.\nAnswer: 5, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.269 + -0.329. Let i = 0.06 + r. Let v = i - 7. Which is smaller: v or 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33 + 1 - -5) + 18 + (100 - 100)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -31. Suppose -3*o + 8*o - k = g, 4*g + 10 = 5*o. Suppose -c + 2 + 23 = g. What is the greatest common factor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*t = 4*t + 28, -4*t = 5*k + 136. Let i = 20 + k. What is the units digit of (-193)\/i + 2\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*p - 2288, 685 - 2941 = -w + 3*p. Let r = -1473 + w. List the prime factors of r.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 + -4)\/((-1)\/2). Let q be 0\/(2\/((-2)\/1)). Suppose q*m = -2*m. Put m, o, -1 in increasing order.\nAnswer: o, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1850472 or -1850471?\nAnswer: -1850471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 12\/5)*(-20)\/12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -f + 20. Let z be 28\/f + 5 + -2. Which is bigger: 11 or z?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 236*l - 1793. Determine p(-8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 13*y**2 + 2*y - 13. Let z(h) = -7*h**2 - h + 7. Let l(d) = -6*o(d) - 11*z(d). What is l(4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - ((-3 - 0) + 0)) + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 332731978 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**4 - 3*m**3 - m + 2. Let f(c) = 2*c**4 + 18*c**3 - 3*c**2 + 516*c - 12. Let o(q) = f(q) + 6*w(q). What is the second derivative of o(d) wrt d?\nAnswer: 96*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 8. Sort 1, x, 0.\nAnswer: x, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9328 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/420 - 14\/35)*(-2 + 3)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*k**3 - k**2 + 147*k**3 + k**2.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + (-11 - 2 - -8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1002342 - -312210?\nAnswer: -140132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 3*o + 26, 4*o - 35 = -3*p - 13. Let t be (-183)\/(-15) - 2\/p. Let j = -3 - -6. Solve 29 = -3*s - 4*h, -j*h - t = -5*s + 4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 11 = 3*v, -26*v - 20 = -u - 21*v. Solve x - 4*x + 5*n = -10, -5*x + 30 = u*n for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*w, 5*u + 5*w + 18 = -22 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.381 * -0.13\nAnswer: -0.04953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-7 + -48) - 2*102\/(-420)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 95 + 25 = 0. Let q = 4 - r. Let l = 6 + q. What is the highest common factor of l and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1739.04 + 1735. What is p rounded to 1 decimal place?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -39, -1, -2, 9 in increasing order.\nAnswer: -39, -2, -1, 0, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2\/191, 0.1, -2640 in descending order.\nAnswer: 0.1, 2\/191, -0.2, -2640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2734*h + 157773 + 188092 + 284275 = 10126*h for h.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 0*f**2 - 21\/80*f**5 + 44 + 1\/168*f**7 - 1\/3*f**3 - f + 1\/24*f**6 + 23\/48*f**4. Let o(x) = 0. Calculate x.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 1. Let v be q(1). Suppose 2*u + 3*u + 99399969 = -v*a, 5*u - 248500010 = 5*a. Let l be a + (-15)\/(-10)*-2. Round l to the nearest one million.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 37693980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3963937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -663\/101 or -12\/5?\nAnswer: -663\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 10089.39t?\nAnswer: 10089390000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-48)\/(-36)*(-3)\/14. Which is the biggest value? (a) 2 (b) 1\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1274099468 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1509 - 1485. Calculate the highest common factor of 56 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*6\/6)\/(-5)*1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -217\/2 - -111. Let s = -7621 + 7635. Put 0.4, x, s in decreasing order.\nAnswer: s, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - 18)*(-4)\/(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416051365 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3767 = 62*q - 3425. What is the lowest common multiple of q and 4?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3819013, 7638029, 11457045?\nAnswer: 15276061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -q + 28, 4*q + 3*t - 82 = t. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 u when three letters picked without replacement from paapapyauu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(6*1\/2). Solve -r + 7 = 2*r + 5*a, c = 3*r - 3*a + 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -3a6?\nAnswer: 3a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v + 1. Let l be k(-1). Suppose 5*i = -l*z + 15, 5*i = -z + 6*z + 15. Suppose -i*o = -3*c + 41 + 25, -2*o - 18 = -c. Is 26 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -146 - -240. What is the remainder when m is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91521492379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 2*c - 21 + 20. Let w be o(15). Let b = w + -12. Solve i - 4*i = -b*f - 15, -i = -5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccbbcccccbycccbb. Give prob of picking 1 y and 1 c.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -23 + 8. Calculate the greatest common divisor of p and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 4:16 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 2\/33 (c) -1\/7 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + g + 4 + (0*g - 6*g + 5*g)*(-2 + 1 + 0) - 5*g + 3*g + 4*g)*(-39*g - 48*g + g) - 4*g**2 + 7*g**2 - 4*g**2 + (2 + 2 - 5)*(4*g - 2*g**2 - 4*g).\nAnswer: -343*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -5*c**3\/2 - 2*c. Let r(i) = -9*i - 7. Let h(x) = 4*x + 3. Let w = 10 - 7. Let y(l) = w*r(l) + 7*h(l). Determine y(a(o)).\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z**2 - 45*z - 222. Determine p(-7).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(2 + (-33)\/3). Let g = -5 - -4.5. Sort g, -3, z in decreasing order.\nAnswer: z, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + j)*(4 + 3 - 5) + 0*j - 2*j + 5*j + (3 - 2 + 1)*(52*j - 28*j + 33*j) + 0*j + 3*j - 6*j to the form v*j + i and give v.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69165235 is divided by 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 92*p**2 - 456*p + 2819. Calculate o(-97).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 430 and 40?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/276 and -5\/2096.\nAnswer: 144624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-2)\/24*-3))\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 79\/1837580?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2285 = 6*d. Let u = -284 - d. Is 19 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x - 3*x**4 - x**3 - 2*x**2 - 41182 + 41189 - 2*x**4 to h*x**2 + k*x + g*x**4 + c*x**3 + s and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113126791 is divided by 1213.\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 713647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18047 + 25082. Is v a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1110*g - 97*g**2 - 1110*g - 685*g**2.\nAnswer: -782*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 4:27 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53.8 - 497.2. Let m = -545.38 - d. Let o = m - 5. Round o to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25 - 1 + 18*n**4 - n**4 + 2*n**4 wrt n.\nAnswer: 76*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/686 and 18.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 52149049 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 7 = -h + 4*p, 3*h - 3*p + 15 = 0. Solve 9 = -9*f - h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/6*((-21)\/(-10))\/7*(-1408)\/792.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/1181 in 2\/19, 29, -2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000029836022 rounded to six decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5354 * 1152.\nAnswer: -616.7808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**4*m - 1090951*c**4 + 2*c**3*m + 16*c**2*m + 35*c**2 - 3*c*m - 3*c - m wrt c.\nAnswer: -24*c*m - 26182824*c + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**2\/(j**(1\/7)*j)*(j*j*j**(-2\/3)*j)**(-3\/2) assuming j is positive.\nAnswer: j**(-37\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -623831 at most -623828?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**2\/7 - 27977616*q\/7 + 27977612\/7 = 0. What is q?\nAnswer: 1, 6994403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -69. Suppose -5*c + 45 = -5*a, -2*a + 0*c = -5*c + v. Let o be ((-2)\/(-5))\/((-4)\/(-80)*a). Sort 5, -5, o in descending order.\nAnswer: 5, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*u + 316 - 3724. Calculate the greatest common factor of u and 496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 7928\/2 - (-34)\/((-476)\/(-70))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -239\/12. Let f = -1290653 + 15502001\/12. Let y = -1178 + f. What is the common denominator of g and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 4:14 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 24. Let s = 15 - m. Solve 2*r - 3*r = -s*h + 17, -h + 13 = 3*r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + sqrt(6) + (-4*(sqrt(6) + sqrt(150) + sqrt(6)) - sqrt(6)))\/((sqrt(32) - sqrt(128)\/sqrt(4)) + sqrt(32)).\nAnswer: -27*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**2 - 22073*k - 82031 wrt k.\nAnswer: -2*k - 22073","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/2328 and 23\/18.\nAnswer: 6984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2 - 364*c + 27348 = 0 for c.\nAnswer: 106, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1722643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/7, 1\/4, -1\/5, 0.2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -j + 5*j - 53, -2*v + 63 = 5*j. Let m = 30 + -26. Suppose -m*a = -3*o + 3 + 2, -2*a = -8. What is the lowest common multiple of j and o?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 22134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n**2 + 9*n + 5. Let y(p) = -4514*p. Give y(l(z)).\nAnswer: 27084*z**2 - 40626*z - 22570","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 754914?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*f - 7 = -5*f, 0 = -4*w + 3*f + 23. Suppose -8 = 3*u - w*u. Solve 2*m - 5 - 9 = -4*h, 0 = u*m + 4*h - 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 + 230 = 26*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -70*o - 61*o - 23*o + 12 - 95. Is s(-36) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 23*c + 146. What is u(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 - 64*p + 118. Let l(j) = -12*j**2 - 416*j + 768. Let c(u) = -5*l(u) + 32*n(u). Factor c(i).\nAnswer: -4*(i - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 113 or 114?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.2 - 3. Let r be (-1)\/(2\/33*-3). Let h = r + -23\/4. Which is the nearest to 1? (a) h (b) -0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0 = 12. Suppose -m*s = -2*s + 3. Are -4 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 16*t**2 - 39*t - 126. Let s be d(-9). Put 1, -3\/4, s in descending order.\nAnswer: 1, -3\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31)\/93)\/((4\/(-4))\/(-132)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5d9 - 8?\nAnswer: 5d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 1 (c) -56 (d) 1.5 (e) 140 (f) 3 (g) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -102583, -102607, -102647, -102703, -102775, -102863, -102967?\n\"Answer: -8*t**2 - 102575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6462\/(-504) - ((-1)\/(-2))\/1. Let x = v - 33\/28. Calculate the common denominator of x and -91\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1603274 to the power of 1\/2, to the nearest integer?\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 + -0.6. Let t = b - -3. Let n(o) = -30*o + 56. Let f be n(2). What is the third smallest value in t, f, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3910 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1060278?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 6. Let t = x - 7.5. Let p = t - -1.9. Put p, -0.5, -2\/7 in ascending order.\nAnswer: -0.5, -2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 5)*(0 + 0 - 5*q) - 3 + 3 - 4*q)*(6*q**2 + 0*q**2 - 4*q**2).\nAnswer: -48*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -63, -89, -115, -141?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 9*d - 3. Let o(r) = -14*r + 7. What is 6*o(s) + 11*v(s)?\nAnswer: 15*s + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3087837, -6175671, -9263503, -12351333, -15439161, -18526987?\nAnswer: -21614811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 2105, 26 in decreasing order.\nAnswer: 2105, 26, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -38*j - 2199. Let n be a(-58). Let h(f) be the second derivative of 1\/3*f**3 - 3\/10*f**n - 2\/15*f**6 + 0*f**2 + 0*f**4 - 2*f + 0. Factor h(v).\nAnswer: -2*v*(v + 1)**2*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 138*l + 556. Give u(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3933 = -499*i + 62*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7*(18245\/178 - 99)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/100 and -117\/70.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78 - -82. Suppose w - 186 = -4*a, -b*a + 17 - 437 = -2*w. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*n - 96*n - 245*n + 2056 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*t**2 + 125 - 167 - 698*t**3 - 2 + 5*t**5 wrt t?\nAnswer: 300*t**2 - 4188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 3:03 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1787 - 1780. What is the remainder when (0 - (-27)\/2)*2 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131395046.\nAnswer: 2, 3, 137, 1376393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9439.865l in millilitres?\nAnswer: 9439865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354901291?\nAnswer: 354901291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.06 and 5666.\nAnswer: 5666.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 717490.6l in millilitres?\nAnswer: 717490600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + -60. Which is the nearest to 1? (a) -3\/2 (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v**2. Let r(p) = 13175289*p. What is m(r(d))?\nAnswer: 1388705921868168*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/80, 0.1, -53, -5, -5\/3, 1\/8 in descending order.\nAnswer: 1\/8, 0.1, -1\/80, -5\/3, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5177439 centuries in months?\nAnswer: 621.29268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139369?\nAnswer: 139369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 61888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 1)*-3*11\/66. Let b = -126 + 1135\/9. Put 1, f, b in decreasing order.\nAnswer: 1, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -137\/5. What is the closest to d in 1\/3, 2, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2*v - 16 - 12 = 0, 3*v = 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2 + 2*z**3 - 1 + 3 + 5*z - 4*z. Let v be q(-2). What is the remainder when 13 is divided by (-10 - -14) + (-1 - v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 173 + -292. Let k be 2\/(-5) - l\/35. Suppose -k*d + 57 + 79 = -5*r, -4*d + 204 = -r. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 16 = 3*b, 16 = 5*b - 2*y - 0*y. Let w = 250\/159 + 5\/53. Suppose w*f - 10\/3*f**2 + 1\/3*f**5 - 1\/3 + 10\/3*f**3 - 5\/3*f**b = 0. Calculate f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**3 + 97*r**2 + 324*r + 95. Give q(-3).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**7\/1260 - 3*i**4\/8 + 2*i**3\/3 + 20*i**2 - 3. Let c(v) be the second derivative of d(v). Let q(x) = -89*x. Give q(c(r)).\nAnswer: -178*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m - 114 = 0. Let z = m - -71. Let l(y) = 2*y**2 + 5*y - 3. Let p be l(-5). What is the highest common factor of p and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7854\/5712*1\/33\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 792\/56 + 2\/(-14). Let i be (-3)\/((81\/(-6))\/9). Suppose 3*w + 3*q + 2 = -1, 6 = -w - i*q. Solve -6 - h = w*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-126 - 1)*(-3 + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.011 - -25.589. Let g = 374 - 400. Let l = y + g. What is the biggest value in -3, l, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i - 2. Suppose 0 = 3*o + 17 - 20. Suppose 4 = 5*j - o. Which is smaller: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(456)\/(sqrt(48)\/(sqrt(12)\/sqrt(3)))*-5)\/(((sqrt(90) - sqrt(10))*6 + sqrt(10))\/(sqrt(90)\/sqrt(2))).\nAnswer: -15*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -1168414*b. Let m(x) = 19*x**2. Give m(n(g)).\nAnswer: 25938634232524*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -461 (base 15) in base 2?\nAnswer: -1111011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001777764 to six dps.\nAnswer: 0.001778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -6. Let m be x\/4 + (-135)\/(-10). Solve 5*z - m = 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 1 - (27 + (-5 - -21)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 8*k - 6 + 4)*(525*k - 237*k + 0*k).\nAnswer: -2304*k**2 + 576*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by 122\nAnswer: -21\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 648263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94\/105 - 3019\/420. What is the common denominator of -121\/1176 and x?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 53.1.\nAnswer: -1.593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 12*x - 26. Let o be q(-9). Suppose i + 84 = 3*i. Differentiate -11*p**4 - i*p**3 - o + 42*p**3 with respect to p.\nAnswer: -44*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x + 1. Let a be z(-8). Let f = a - -39. Suppose 4*i + 4*h + 7 = -h, -4*h - f = -2*i. What is the lowest common multiple of 7 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/14)\/(6\/(-112)). Suppose -4*c + 0 = -h - 8, a = 4*h. Solve x = -c, -3*w - 27 = 5*x - x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 50 (b) 0.05 (c) 2 (d) 0.3 (e) 2\/523\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -1765.4818284.\nAnswer: -1773.4818284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Round 34375.1096 to the nearest 100.\nAnswer: 34400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95 and 40869?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + 32 + 30 + 0*w - 68 - w. Let x be d(0). Let b(j) = 2*j**2 + 4. Let i(g) = -4*g**2 - 7. Determine x*i(l) - 11*b(l).\nAnswer: 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 471?\nAnswer: 3297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 8686 (b) -1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 150787 - 150798.3259. What is w rounded to 0 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4087466 less than 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 9:38 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 31107.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10, 64, 270, 674, 1342?\n\"Answer: 11*x**3 - 3*x - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j - 4 = -2*l, -3 = j - 5*l. Suppose 0 = -0*n - n + j. Which is the third smallest value? (a) -2\/5 (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 8*b**2 - 3*b + 19. What is s(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 118794119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8862 + 9033 = 19*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003 less than -684513773?\nAnswer: -684513773.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 + 6*z + 53)*(1 + 0 - 3) + (-3 + 5 - 4)*(1 + z - 1).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 85*k + 1460. What is b(-24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 7. Let f be c(-3). Calculate the common denominator of 13\/9 and ((-15)\/f)\/((-72)\/272).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**6\/24 - v**3\/3 - 17*v**2. Let y(q) = 21*q**3 - 9. Give 9*i(p) - 2*y(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 682039031?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8224*w**3*z**3 - 6*w**3*z**2 - 1662*w**3*z - 2*w**2*z**2 + 15*w*z**4 + 3 wrt z.\nAnswer: 49344*w**3 + 360*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2544269?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -71364006, -71364008, -71364010, -71364012, -71364014, -71364016?\n\"Answer: -2*g - 71364004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -286413 - -2008207\/7. Let q = 474 - v. Which is the nearest to q? (a) 22 (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180\/(-630) + ((-6126)\/(-273) - 2\/13)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xiwiejx. What is prob of sequence xiij?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/8090 and -63\/1618.\nAnswer: 8090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 11:56 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67 and 8509.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13813 (base 9) to base 2.\nAnswer: -10010011000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7343, 14619, 21833, 28985, 36075?\n\"Answer: -31*z**2 + 7369*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-175)*(-135)\/54.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o + 360 = 22*o. Calculate the remainder when 183 is divided by 1\/1 - (-22 + o).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**2\/2 - 7*y - 99. What is the remainder when p(-16) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 8*w**3 - 13*w**2 + 21*w - 13. Let l be y(4). Calculate the greatest common divisor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 252 + -74. Suppose 3*c - k = 4*u, -u - 15 = -3*c + 160. Suppose -6*s + c + 140 = 0. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6 + (-29)\/(-3). Let j(i) = i**3 - 19*i**2 + 6*i - 19. Let x be j(19). Let o = x + -92. Solve -r - o*m = -4, -6 = 3*r - 5*m + l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**3\/2 + 309*j**2\/2 - 3192*j - 42336 = 0. Calculate j.\nAnswer: -9, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -5*z**8\/336 + 13*z**7\/42 - 67*z**6\/24 + 57*z**5\/4 - 45*z**4 + 90*z**3 - 30*z**2. Determine u, given that f(u) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 72, 66, 58, 48, 36?\n\"Answer: -l**2 - 3*l + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81030 and 7441255?\nAnswer: 44647530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*1\/(-1)*(-39 - -38)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8808.079295 - 8808. Let j = 99.057705 + w. Let t = j + -99. Round t to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3446093 by -7.\nAnswer: 492299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3\/5 + 2*h**2 + 101*h\/5 - 126 = 0.\nAnswer: -9, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*z = -0*k + 31, 3*k + 3*z - 24 = 0. Solve -5*g = -5*o - 35, k*o = -10 - 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/46 + (-10)\/(-575)*126505 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*w - 9, w - 1 = -5*n + 6. Suppose -5*d - 5*a + 95 = 0, 3*d - a - 17 = n*d. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226147699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v. Suppose 2*n = 5*n - 6. Let u(j) = -2*j**2 + 2*j + n*j - 4*j. Calculate s(u(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + 1 + sqrt(75) - sqrt(75)) + sqrt(75) + 1 + -5)*4 + 2)**2.\nAnswer: -1200*sqrt(3) + 2100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103102 (base 4) to base 14.\nAnswer: -642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15.4, -565, -5, 4, 1, 1.8 in descending order.\nAnswer: 4, 1.8, 1, -5, -15.4, -565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -328, 5 in ascending order.\nAnswer: -328, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q - 57. Let s be 759\/55 - (-2)\/10. Calculate the remainder when 125 is divided by j(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55514550 divided by 350\nAnswer: 158613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99374 and 922086?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*j**3*u**2 - 261*j**3 + 29*j*u**4 + 2 wrt u?\nAnswer: -6*j**3*u + 116*j*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010100110010 + 1?\nAnswer: 10010100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 226 - 451\/2. Let n = -2 - -3. Let b = 1.3 - n. Put u, b, 0.4 in descending order.\nAnswer: u, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 282686524 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 368781 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -80283 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y + 5*y - 6*y + 1 + y**2. What is the remainder when s(-10) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/13, 30\/11, 0.3, 0.02, -5\/2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*d - 2*o, 3*o = -d. Suppose 3*c - 4*c - 6 = d. Let n be 6\/4*(-8)\/c. Solve -j = 4*g - 8, j = 3*j + 2*g + n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - w - 23, -2*w + 0 = -2*h - 2. Let j be (6 - 2)\/2 - h. Let d be (-6)\/j + (-47)\/(-52). Which is the closest to 4? (a) d (b) -0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139756644.\nAnswer: 2, 3, 613, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 2\/3, 0, 4\/13, -948?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 504\nAnswer: -4032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*p - 0*f - 6, 0 = -p + 4*f + 21. Suppose -b - 92 = -2*s, 0 = -p*s - 4*b + 37 + 193. Is 37 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1230\/1 + (-9 - -24) + -12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12 and -1785457565982?\nAnswer: 1785457565970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/(((-28)\/(-3))\/14).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -117993998.\nAnswer: -1\/58996999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18.6, -156\/25, -16?\nAnswer: -18.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 228 - 226. Let v = 0 - -3. Let m be v\/9 - (-1 - -1). What is the nearest to 0 in -0.1, m, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 5:52 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 219 + 46*b**3 - 219 + (-2*b**2 - b**2 + 0*b**2)*(-b + 2*b + 0*b).\nAnswer: 43*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 h, and 1 b when three letters picked without replacement from {w: 1, i: 4, b: 1, y: 1, h: 5}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1519802?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 + 0*o - 4\/5*o**2 + 0.\nAnswer: -2*o**2*(5*o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 12*s - 12*s + 2*s**2. Let v(a) be the third derivative of a**7\/280 + a**5\/60 + 2*a**2. Let t(w) be the third derivative of v(w). Give t(i(n)).\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37344037*s**6 - 238052*s**2 - 162.\nAnswer: 4481284440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 + 33*i**2 - 69*i - 4. Determine z(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**7\/840 + n**6\/240 + 19*n**4\/24 + 14*n**2. Let u(q) be the second derivative of r(q). Factor u(d).\nAnswer: 3*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l + 3*n = 13*l - 14, 5*l = 2*n + 15. What is the fourth biggest value in 5, l, 2\/5, 8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 23\/8 of a micrometer?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-25)*(-1)\/((-2)\/2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/5 + 72*y**3 - 14502*y**2\/5 - 16352*y = 0. What is y?\nAnswer: -5, 0, 73, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -d + 12. Let j = -9 - d. Let m(b) = -b**2 - 12*b + 14. Let y be m(j). Solve 3*r + 1 = -y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -13853262*2.3\nAnswer: -31862502.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6706747?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-2) + (1 - -5). Let a(l) = -3*l**2 + 15*l - 8. Let c be a(4). Suppose -7*j + 9*j + c = 0. Is i <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-27)*(-20 - -11). Determine m, given that 0 - 2\/3*m**f + 0*m**3 + 2\/3*m**4 + 0*m = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -0.4 (c) -0.2 (d) 56\/3 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.4017361 rounded to 1 dp?\nAnswer: -57.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22755118*m**5 - 8*m - 1073225 wrt m?\nAnswer: 455102360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(65))\/sqrt(5))**2*5.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.032 times 2015532\nAnswer: -64497.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001011 - -101010110000011?\nAnswer: 101010001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**4 + r**3 + r**2 - r. Let w(t) = 38*t**5 + 5*t**4 + 5*t**3 + 18*t**2 - 5*t. Let g(o) = 5*q(o) - w(o). Find the third derivative of g(f) wrt f.\nAnswer: -2280*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/6)\/((-9)\/(-72)) + 0. Suppose 2*y - 11453 = 5*a, 7*a - s*a = -25. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2516)\/10)\/((-12)\/(-115)). Let g = m - -2424. What is the common denominator of g and (-46)\/15*10\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11011010111100 (base 2) to base 8\nAnswer: -33274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -854 - -1628. Suppose -5*t = 4*j + 1510, 3*j + h = -4*t - 433. Let l = -141 - t. What are the prime factors of l?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-1 + 3 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-6) - (-53)\/(-2). Let t = f - -19. Let m = -1 - t. Calculate the lowest common multiple of m and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -2)\/(2 + -1). Let m(y) = 4*y**2 + 2*y + 0*y**2 + 1 + g. Calculate the remainder when m(-3) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 1. Let r(t) = -2*t**3 + 7*t**2 - 7*t + 5. Determine -r(c) + 5*y(c).\nAnswer: 2*c**3 - 2*c**2 + 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2506 in 2, -2.68, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 - 24. Suppose -z = 3*v + 4*y, -2*v = -3*y + 6*y + 17. Let x be (-1500)\/(15\/12 + v). What is x rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3559243839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -444, -895, -1344, -1791, -2236, -2679?\n\"Answer: q**2 - 454*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 229288.492 rounded to the nearest 100?\nAnswer: 229300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -257008*x**2 + 3 + 280318*x**2 - 3 as z*x + d*x**2 + n and give d.\nAnswer: 23310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5900000*j**2 - 2*j - 2. Let f be -2 - (-3 - 9)\/2. Let p be 1\/f*-2*2. Let x be z(p). What is x rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 10*k + 24. Let v be n(-4). Is v greater than 325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 i when three letters picked without replacement from uifuufiui?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(32\/(-12))*-2)\/(4*(-4)\/96).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 133830 and 1449825?\nAnswer: 8698950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157813.\nAnswer: 157813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from {v: 4, h: 5, l: 1, f: 3, j: 1, e: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1368, -1369, -1370, -1371, -1372?\n\"Answer: -s - 1367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggagnpxxpxxa. Give prob of sequence px.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101102010202232 + 0?\nAnswer: -101102010202232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 1, 5 in descending order.\nAnswer: 5, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 10 = -3*g. Let w(z) = z**2 + 7*z + 5. Let r be w(g). Let x(p) = -p**3 - 5*p**2 - 9*p - 3. What is the units digit of x(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**3 - 9*g**2 - 20*g - 50. What is p(8)?\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9242 + 9242.070889. Let l = f + -0.071. Round l to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24*(351\/12)\/9 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5465709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -522390 + 522393.9999872. Let n = -0.35 - -4.35. Let s = n - m. What is s rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*i - 24. Sort -22, i, 4.\nAnswer: -22, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 11:12 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 208410.8 + -198111.13. Let q = 10014 - o. Let a = 284 + q. Round a to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/(b\/b**11)))\/b)\/b)**(-7\/8)*(b*b**(-4\/3))**(-8\/7) assuming b is positive.\nAnswer: b**(457\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8642.\nAnswer: 2, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40.97883151 + -41.246475. Let o = -2.73235635 + c. Let i = o - -3. What is i rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111 (base 3) to base 16\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1115179\/86898 + -2\/14483. Let x = 458\/17 - 11379\/476. What is the common denominator of v and x?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**3 + 2*j**2 - 4*j - 8. Let u(i) = -11*i**3 - 6*i**2 + 11*i + 23. Let l(n) = 3*u(n) + 8*z(n). Is l(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-1 + 12 + -24 + 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l - 38. Let w be 4 + (22\/2)\/(-1). Let a be k(w). Solve 3 = -a*v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 85*a**2 + 82*a - 397. Give u(-86).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -186 - -190. Let x be (1 + 0)*-1*-5. Let t = j + x. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -j, 3*g = -3*j - 1 + 4. Suppose -j*n + 49 + 13 = 0. Let h = -22 + n. What is the lowest common multiple of 11 and h?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11506, 22925, 34346, 45769, 57194, 68621?\nAnswer: 80050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -31. Suppose 4*f - 92 = -32. Let m = s + f. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*l + 7*l**2 - 28*l - 2*l**2 + 2*l**2 + 3.\nAnswer: 7*l**2 - 65*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -636 in -0.3, 2, -72, -0.5?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 13. Suppose 3*y + h - 16 = 0. Suppose n = -4*n + 3*p + 261, -y*n = p - 202. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/8 + -1 - 600\/(-4800).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182998515.\nAnswer: 3, 5, 7, 1742843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1720, 1736, 1766, 1816, 1892, 2000?\nAnswer: 2146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventy-four fifths of a hour?\nAnswer: 53280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 10*v**2 - 1. Suppose 0*h + 3*h - 3 = 0. Let t be c(h). Find the third derivative of -11*a**5 + 3*a**2 + 0*a**2 + t*a**5 wrt a.\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 171*y - 1970. Calculate s(12).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3333491 to the nearest integer?\nAnswer: 1826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*j + 79 + 26 = 59*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -3024\/491?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 50*c - 5. Give s(2).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555162 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00038505 rounded to five decimal places?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*y - 0*y + 11, -i + 4 = y. Calculate the greatest common divisor of y and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15800310 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3844\/21080 + (-3)\/10?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/42)\/((-42)\/(-252))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -31017.2 and 188.65152?\nAnswer: 31205.85152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-2 - (-6 + 2)) - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from dszbbz?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288785?\nAnswer: 5, 7, 37, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(325)*4 + 0)*2 - (-5 + (sqrt(325)*3*6 - sqrt(325) - sqrt(325))*5))**2.\nAnswer: -5200*sqrt(13) + 3515225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 271907 and 508?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 19*g + 3. Let p be (-18)\/4 - (-3)\/(-6). Let h be f(p). Let d = h - -134. What is the remainder when d is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11928 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 6*u**2 + 3*u - 7. Suppose -3*v + v = 22. Let p(k) = -k - 5. Let d be p(v). Let r be s(d). Calculate the greatest common factor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 29\/76 (b) -3 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 1 + 1984 + 3. Suppose -5*c - 329 = -f. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1112*g**2 - 17*g + 11. Let l be t(1). Calculate the greatest common factor of 70 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - i + 0)*(2061*i - 391*i + 18006*i - 1292*i + 8411*i).\nAnswer: -26795*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 35.70703um?\nAnswer: 0.03570703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 260123504?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03446 - 0.36554. Put -1\/14, l, -36, 4 in ascending order.\nAnswer: -36, l, -1\/14, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m\/(m\/(m*m*m\/(m\/((m\/m**(-2))\/m))))*m*m*m)\/m))\/m)**(9\/2)\/(m\/m**(-3\/7)*m*(m\/m**2)\/m)*(m**(2\/7))**11\/(m*m**3*m**7) assuming m is positive.\nAnswer: m**(-557\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 718054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-3\/5)*a\/a**(-1\/3))\/(a**(-6)\/(a\/(a*a*a\/((a*a\/(a\/((a*a\/(a*a\/(a\/((a**(-6)\/a)\/a))))\/a))*a)\/a))))*((a**(-2))**36)**33 assuming a is positive.\nAnswer: a**(-35401\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*x + 8. Let w(g) = -983*g**3 + 5*g**2 - 3*g - 4. Let j be w(x). Round j to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87327066*q**2*t**5 - q**2*t + 1278947*q*t**2 + 8*q*t wrt t.\nAnswer: 5239623960*q**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -186945, -186952, -186963, -186978, -186997, -187020, -187047?\n\"Answer: -2*u**2 - u - 186942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-4)*((-1)\/3 - 1). Let p be ((-28)\/21 - b)*(-3)\/(-1). Put -7, 5, p in descending order.\nAnswer: 5, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35\/24 + 17\/24. Let d = 5 + -1. What is the smallest value in d, y, -1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and -0.14226919?\nAnswer: -0.0099588433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 50, 66, 48, -16, -138?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (505\/2727)\/((-10)\/(-6)). Factor -i*q**3 + 5\/9 + 1\/3*q**2 + q.\nAnswer: -(q - 5)*(q + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9326.9874183 - 9327. Round f to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 8. Let f = t - 1. Which is greater: f or -2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3384694?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9004*b + 21 = 9009*b - n, 25 = b + 5*n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 1:59 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v - 12. Let o be d(12). Let y = 70 - o. Let z(k) = -2*k - y*k + 5*k. Let i(q) = -3*q. What is z(i(u))?\nAnswer: 21*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -9*r**4\/4 - 11*r**2\/2 + 6*r - 434. Let q(p) = p**3 + p - 1. Determine 6*q(t) + z(t).\nAnswer: -3*t**3 - 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 7, 100, 2, 5.\nAnswer: -4, -1, 2, 5, 7, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 404441258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-588)*-4764)\/(-2) - 10\/(-14)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.2 - -0.8. Let h = 0.42 + -0.32. What is the closest to -1 in h, 0.3, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -401, -3, -1066, 0, -4?\nAnswer: -401","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/31467 + 58245419\/62934. Let y = m - 945. Find the common denominator of 109\/18 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -94\/165 and 31\/3267?\nAnswer: 16335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1370816 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*b - 29*b - 33*b + 9*b as m + w*b and give w.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.8237 to the nearest integer.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 969 is divided by 162?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 18*t**3 + 2*t - 2. Let b be m(1). Let x = b + -26. Is ((-1217)\/(-4))\/(x\/(-32)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 2*s**2 - s + 19. Let r be y(0). Suppose -198 = -r*l + l. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -3\/100*f**5 + 12*f + 1\/10*f**3 + 0 + 0*f**2 + 0*f**4. Factor k(d).\nAnswer: -3*d*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4614*b**3*d - 2*b**3 + 11*b*d - 152*b wrt b?\nAnswer: -27684*b*d - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8218 a factor of 2030634928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -119*x + 43*x + 304. Put -4, x, 135 in decreasing order.\nAnswer: 135, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -145040110 + -1?\nAnswer: -145040111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4 + 7 - 31*k - 8 + 6 - 3. What is b(2)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*62\/(-8))\/(75\/300).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9372225 a multiple of 276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/219 and -43\/10.\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 477645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**4)\/(m*m*m**5\/m*m)*(m**(-1\/2))**(1\/12)*(m*m*m**(2\/5))\/m*m*m**(-1\/5)*m\/m**(-2\/7)*m\/(m*m**(-3\/7)) assuming m is positive.\nAnswer: m**(-5147\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 21304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2779713 is divided by 126348?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 6769 + 29*i - 178*i - 49*i - 6760 - 3*i**2 + i**2 in the form s*i**2 + j*i + h and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-58)\/7 + 6\/21. Let u = t + 8. Put -3, -5, u in ascending order.\nAnswer: -5, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56624333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 88.\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -8*u**2 + 6 + 4*u**2 + 5*u**2. Let l be 0 + (1 - 1)*-1. Calculate the smallest common multiple of 2 and q(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3264625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*d**3)*(-450 + 78*d**2 + 450).\nAnswer: -156*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 574763698*u**3 - 85*u**2 - 7*u - 91016.\nAnswer: 3448582188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*m + m - 5, -2*m - 18 = -2*l. Let s be 6 - 0 - 1*4. Suppose 11*p - s = 10*p. Solve g - 8 = l*a, -3*a = -0*g - 2*g + p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57*q**2 + 17*q**2 - 28*q**2 + (3*q - 4*q + 5*q)*(2*q + 2*q - 3*q).\nAnswer: 50*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95.53 + 16.17. Round c to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -430*p**2\/17 - 7734*p\/17 + 108\/17.\nAnswer: -2*(p + 18)*(215*p - 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-10)*(3 + -3) + 11. Differentiate 0*g - 7 - 4*g + p*g - 33 wrt g.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.47 less than 2.1?\nAnswer: 25.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n - 12*n + 2*n**2 - 2 - 4*n. Is y(6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 122 - -3023171?\nAnswer: 3023313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 516 = -2*m + 134, -5*m - 955 = -2*i. Does -192 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -3)\/((-8)\/4). Suppose i - 3*g + 5 + b = 0, 2*g + 2 = 0. Which is smaller: i or -7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1822? (a) 3\/7 (b) 1\/2 (c) 18.66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + 221. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.69 + -519.69. Let j = -515.9 - f. Let g be -4*1 - (0 - 1). What is the nearest to j in 5, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 33 - 24 = 0. Let m be 144\/40*5*(-2)\/3. Calculate the remainder when w is divided by 3 + (-8)\/12*m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -23 + 8. Suppose 4 = 2*a + 4*x, -a + x - 2 - 2 = 0. Sort 5, z, a.\nAnswer: z, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 4*k - 4, -32 = -3*v - 2*k - 4. Let b(s) be the first derivative of -s**2 + 6*s - 2. What is b(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -691 - -750. Which is the biggest value? (a) 0 (b) 0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 296, 290, 272, 236, 176, 86, -40?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**9)**42)**(-25))**(-16))**(2\/37) assuming v is positive.\nAnswer: v**(302400\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*y**4 + 11*y**4 + y - 37 + 2*y wrt y?\nAnswer: -24*y**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 7*k**4\/12 - k**3\/3 - k**2\/2 - k + 11. Give t(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 13*w**2 - w + 16. Let r be p(13). Suppose r*b + 36 = 9*b. Suppose b*s - s - 165 = 0. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3252*k**2 + 412*k - 55501480 with respect to k.\nAnswer: -6504*k + 412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 5*v - 20, -i + 30 = -5*v. Let d(b) = -3*b + i*b - b. Let g(u) = -8*u**2. Calculate d(g(r)).\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -476022 + 984622. Round w to the nearest ten thousand.\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkkkkkkklkkk. What is prob of sequence kk?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 + 1347*w - 36932.\nAnswer: -(w - 1319)*(w - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**5\/5 - n**2\/2 + 4*n + 2. Let h(v) be the first derivative of m(v). What is the derivative of h(t) wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 31*m**2 - 5*m + 4. Let z be i(2). Suppose 9*b + z = 11*b. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*h**2 + 36387655*h - 36387655*h.\nAnswer: -89*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (8 + -10 + 9 + 7 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 730 and 43640.\nAnswer: 3185720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*p**3\/3 + 332*p**2\/3 + 835*p - 378.\nAnswer: -(p - 54)*(p + 7)*(7*p - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 45 = f + f, -4*f - 53 = 5*l. Suppose 2*v = -4*n - 6 - 26, 38 = -2*v - 2*n. Let m = l - v. What is the greatest common divisor of 90 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -41506, -82915, -124322, -165727, -207130, -248531?\n\"Answer: g**2 - 41412*g - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**5\/3 - 2*m**4 + 2*m**3\/3 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(88)*2 - -6*sqrt(88)*-2)*4)\/(-5*(sqrt(288) + -1*sqrt(288) + sqrt(288) + sqrt(288))*-1) + 1.\nAnswer: -8*sqrt(11)\/15 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8594 divide 1312696132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 329*f**2 + f - 12. Let j(k) = k**3 - 4. Calculate 3*j(i) - s(i).\nAnswer: 4*i**3 + 329*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0476 or 0.9?\nAnswer: -0.0476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.599426 hours to milliseconds.\nAnswer: 2157933.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 50 - 29 - 34 - 10 + 2*s - 16. Let b(a) = -16*a. Calculate b(h(z)).\nAnswer: -32*z + 624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/545? (a) 22 (b) 5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1515\/2436499?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide (-216)\/63*(-70)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -3080.15\nAnswer: 3080.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**8\/24 - 24*g**4 - 598*g**2. What is the second derivative of l(v) wrt v?\nAnswer: -280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.7884 + -0.78835. Let h = x - 4. Round h to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/13, 0, 2\/11 in ascending order.\nAnswer: -1\/13, 0, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 331 + -5629\/17. Sort s, -1, -0.4 in increasing order.\nAnswer: -1, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**4\/4 - h**3\/3 - h**2\/2 - 114*h + 7. Let o be r(0). Let n be -4 - o*4772\/2. What is n rounded to the nearest ten thousand?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7 - 6 + 1 + u + 9. Let r be a(-9). Let d be (1 - -1)*1\/r. Let m(p) = p**2 + p - 1. Let l(f) = 3*f**2 + 3*f - 2. What is d*l(s) - 2*m(s)?\nAnswer: s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5416?\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**3 + l**2 + l + 1. Let f(h) = 1546*h**4 - 4*h**3 - 2*h**2 - 2*h + 445. Let g(j) = f(j) + 2*p(j). What is the first derivative of g(d) wrt d?\nAnswer: 6184*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/sqrt(5))**2*-2 + sqrt(13) + sqrt(1872) + 2 + sqrt(1872).\nAnswer: -24 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -6) + 6 - (-18 - -2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 9246939?\nAnswer: 138704085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 92490.32 nanometers in micrometers?\nAnswer: 92.49032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3821024591*b. Let c(n) = -2*n. Determine c(f(x)).\nAnswer: -7642049182*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 u when two letters picked without replacement from zzllozqzqtqzlu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 12*a**2 + 48*a - 1116. What is the units digit of q(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 719*m**2 + 488*m**2 - 74*m**2.\nAnswer: 1133*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (352\/56)\/(-11) - (-10)\/(-56)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*d**4 + 2*d**3*v**3 - d*v**3 + 2*v**3 + 24*v**2 wrt d?\nAnswer: 60*d**3 + 6*d**2*v**3 - v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 9*q**2 + 20*q - 11. Let o be i(-10). Let j be 9\/6 + 892\/8. Let b = j + o. Solve 3*n = -2*n + s - 26, -b*n + 5*s = 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**4\/11 + 4*a**3\/11 - 42*a**2\/11 - 4*a + 80\/11 = 0.\nAnswer: -5, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -27, -15, 15?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52527577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3300*h**3 - 8*h. Let f(c) = 14850*c**3 - 36*c. Determine 40*d(i) - 9*f(i).\nAnswer: -1650*i**3 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2019631819?\nAnswer: 41201, 49019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*l - 3*u + 22, -u + 16 = 2*l. Suppose 0 = -2*s + 14 - l, -m - 4*s = -16. Solve -5*w + w + 12 = m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 + 2248*t**3 - 46560*t**2.\nAnswer: 4*t**2*(t - 20)*(t + 582)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 19\/(-2)*(-6)\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10134 - 9502. What is the remainder when l is divided by 161?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 37*b**2 - b. Is 18 a factor of r(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzf when three letters picked without replacement from nnftzftftt?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/22)\/(786\/(-60) - (-325)\/25)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 24 = 2. Let t = p - -30. Suppose -2*r - 362 = -t*x, -2*x - 3*x - 2*r = -439. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1346*v + 48484 = 80*v for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 10166*k + 696. Let y be j(44). What is y rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-9825)\/225*1\/202 and 94\/165.\nAnswer: 33330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/(-27))\/(-4) + 1070\/45. Suppose z = 3*y + 21. Let j = -10 + 21. Calculate the smallest common multiple of j and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 639343*r + 2 - 639347*r + 128*r**2 as c*r**2 + h*r + y and give c.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*q = 25, 0*g + 3*q = 2*g + 15. Suppose -7 = 5*l - 22. Let y = l - g. Solve y*j = -2*c - 11, -2*c + 5 = j + 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q + 1420 = -164*q - 260 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7534.102g in milligrams?\nAnswer: 7534102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*m**3 + 29*m**3 - 1440 + 1440.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (41 - -2)\/(4\/(-8) - -1).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 496 and 196320.\nAnswer: 6085920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**4\/2 - 15*q**3\/2 + 21*q**2\/2 - 58*q. Factor v(g).\nAnswer: 3*(g - 7)*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m - 30. Determine q(-15).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 3*u - 3*j + 17, -3*j + 28 = 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/14 and 79\/378402908?\nAnswer: 2648820356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.24 + 0.86. Let y = a - 1.6. Let x = 0.96 - -0.04. What is the nearest to -2 in 2\/9, x, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**3\/5 - 7347*z**2\/5 + 38227356*z\/5 + 7646940 = 0.\nAnswer: -4998, -1, 2550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 80*j**2 + 1586*j + 56. What is a(-44)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 6) to base 2.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50519830979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 25*x**3 - 2*x**2 + 6*x - 5. Let b be p(3). What is b rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x**3 - 20*x**2 + 4*x + 7. Let t be (-25 + 29)*-2*(-10)\/(-16). List the prime factors of w(t).\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1420 and 3190?\nAnswer: 452980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.5065 to 1 dp.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -9.43.\nAnswer: -47.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34 or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5994\/(-72))\/(-37)*(-8)\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/(-21)*(-28)\/8. Suppose -3*r - 5*c + 35 = 0, -r = 3*c - t - 5. What is the remainder when r is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2306.\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 515.8 + -515.90908. Let i = 0.29 - 0.4. Let o = i - f. What is o rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/82686 and -71\/358306.\nAnswer: 1074918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -42 + (2 - (-1 + 1)). Let p = -21 - r. Let d = p + -10. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 16859*x**3 + 16862*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * -4051.\nAnswer: 162.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 261, 1, -4 in decreasing order.\nAnswer: 261, 14, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 + 9*w - 4 - 2 - 12*w**3 - 9*w**2 + 3.\nAnswer: -12*w**3 - 9*w**2 + 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -a - 2*w, 4*a + 57*w = 56*w - 17. Let l(k) = 7*k**3 - 2*k**2 + 4. Let v(s) = -6*s**3 + s**2 - 3. Let d(o) = -5*l(o) - 6*v(o). Determine d(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 11520*d**2 + 46140*d + 46160.\nAnswer: -5*(d - 2308)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -935*c + 92668. What is i(99)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Suppose 4*b = 3*t + 2*b + 6776, 0 = -5*t - 4*b - 11308. What is t rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 32870 = -4*a + a, -2*r + 21940 = 2*a. Is a a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g + 1. Let s(d) = 4*d + 3. Suppose -r = -5*r - 20. Give r*k(z) + 2*s(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19441 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 540765 and 47871?\nAnswer: 14600655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a gram in milligrams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -14. Suppose y*i + 1 = 17. Suppose -4*r + 4*p + i + 60 = 0, -3*p - 37 = -2*r. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 472 - 245 + 737.\nAnswer: -q + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-2)\/(-12)) + 77*34\/(-357)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377) + (0 + sqrt(1377) + sqrt(1377) - sqrt(1377) - sqrt(1377)) - sqrt(1377)) + sqrt(1377))**2 - sqrt(1377)) + 4.\nAnswer: -9*sqrt(17) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29202 and 186?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 6 + 15*o**3 - 2.\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2153541.107 - -2153551.40700077. Let v = w + -10.3. Round v to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/27 (b) -3562 (c) 0.5 (d) -2\/61 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - w + 25. Let a(i) = i**2 - i + 23. Calculate -5*a(l) + 4*j(l).\nAnswer: -l**2 + l - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 2*h - 2. Let i(l) = l**2 - l + 1. Suppose 20 = 4*s + s. Let o(d) = -d**3 + 3*d**2 + 6*d - 5. Let b be o(s). What is b*u(m) + 6*i(m)?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8*k + 62. Let h be 2\/(-10) + 39\/(-5) + 2. What is the tens digit of n(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2178) - 1*-2*sqrt(2178)))\/(4*-2*(sqrt(6) + sqrt(96))*2).\nAnswer: 99*sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6*k + 8. Let o(y) = 14*y + 3. Let w be o(-5). Let u = -45 - w. What is the remainder when u is divided by d(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**6\/96 - 5*w**4\/96 - 16*w**2 + 6*w + 1. Let c(q) be the first derivative of l(q). Factor c(o).\nAnswer: 5*o*(o - 1)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8118 divided by -6\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -24\/13 (b) 1 (c) 862 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 + 60. Calculate the remainder when 2 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9597911, 9597910, 9597909, 9597908?\nAnswer: 9597907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 188 + -48. Suppose -80 = -2*c - 4*s + 60, 4*s = 2*c - u. Let m = 15 + c. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 49280\/11 + 13 - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147\/30 - (4 - (-328)\/(-80))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*-1*(2 - 1). Suppose 5*o = l - 136, o - 1 - 4 = v. What are the prime factors of l?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 8:13 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -406*-0.11\nAnswer: 44.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o - 403. Give d(45).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.3 (c) 455 (d) -0.06 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -6.5204?\nAnswer: 19.5612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4737 - 73?\nAnswer: -47aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 2*b**2 + b - 3. What is the units digit of v(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/(1353\/44)*-5*6\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -28. Let y = 9 + a. What is t in -2*t + 4*t - 2 + 2*t**y + t**3 - 3*t = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065.00825us in days?\nAnswer: 0.000000012326484375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1350 + -54. Let x be 8 + (-979)\/(-121) + (-10)\/110. What is the greatest common divisor of g and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -4555 (b) 2\/19 (c) -0.7 (d) 4.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -11.6, -3, 1.5, -2\/23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1369*i - 1410*i = -164 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1108.1 - -1108. Put -535, 1\/9, w in decreasing order.\nAnswer: 1\/9, w, -535","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 0*m**2 - 2*m**2 - 3*m)*(-7 + 7 + 1).\nAnswer: -2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 584 - 576. Factor -8 - 4*y + x*y**2 - 40*y**3 + 84*y**3 - 40*y**3.\nAnswer: 4*(y - 1)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 723 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3 - 123*o**3 - 2*o**2 - 2 + 6. Let d be i(-1). Let u = d + 69. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o = 13*o + 39092 + 66160. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 1:17 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 35704 + 180110 = -2*g, 4*z + 3*g = 144421. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 648 + -290. Let r = -354 + z. Solve -y + 0*y = r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21139*s + 21122*s - 13 - 42280*s + (1 - 4 + 1)*(1 - 1 - s) + 0*s + 3*s - 4*s as c + z*s and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218353147?\nAnswer: 73, 2991139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 87.02836um?\nAnswer: 0.00008702836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18977754 is divided by 7702.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmrfvrvmrffmfmvmf. Give prob of sequence vvm.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 6. Let v(a) = 4*a + 25. Let c(m) = -2*v(m) + 9*w(m). Let l be c(1). Suppose -l*x = -6 - 19. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 + 10 = 399*n - 406*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1182991.4 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**3 + 2*x**4 + 0*x**3 + (0 - 5 + 1)*(-x**3 + x**3 - x**4 + (x + 2*x - x)*(0*x**3 + x**3 - 2*x**3) - x**3 + x**3 - 2*x**4).\nAnswer: 22*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 4 - 3*u + 0*u + 8*u. Suppose 4*f + 12 + 28 = 0. Let r be (-1 + 0)\/((-2)\/f). What is v(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0, 0.3, -4, 0.02, -0.17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75307, 150617, 225923, 301225, 376523, 451817?\nAnswer: 527107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1220468 - -0.122. Round j to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9163460837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -15196, -736, -3 in ascending order.\nAnswer: -15196, -736, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122840375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -237*c**2 + 261171*c + 3300. Give u(1102).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.08 - -7. Let x = 24.08 + -23. Let u = j + x. Which is greater: 5\/2 or u?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -281 - -280.8664. Round d to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 8*r + 17. Calculate y(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2810978*m**2*s**6 + 10744*m**2*s**2 + m**2 - s**2 - 4*s wrt s.\nAnswer: 337317360*m**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -3*j - 33 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2418, 5203, 7976, 10731, 13462, 16163?\nAnswer: 18828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220579 is divided by 44114.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*o = -38*o + 5*j + 1637, 0 = -5*o + 5*j + 8245. List the prime factors of o.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 1:55 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**3 - 315*s**2 + 225*s + 70875 = 0.\nAnswer: -315, -15, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 4*t + 5. Let z be y(4). Suppose 86 = z*r + 16. Suppose r = 3*a - 19. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -22*y**3 - 50*y**2 - 66*y - 20. Let x(j) = -7*j**3 - 17*j**2 - 22*j - 7. Let p(a) = -5*v(a) + 16*x(a). Does 8 divide p(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {v: 4, d: 1, e: 2, y: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -227721139\/819 - -278048. Let x = a + 1\/91. Put -0.4, 1, x in increasing order.\nAnswer: -0.4, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 + 116*o + 9*o**2 - 232*o + 4*o**2 + 130*o wrt o.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2776962*a + 1 - 2776962*a - 32*a**4 + 7*a**3)*(-1 - 3 + 3)*(-1 - 2 + 6).\nAnswer: 96*a**4 - 21*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4840 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*(6*(sqrt(76) - -1*sqrt(76)*1))\/(-2*sqrt(16) - sqrt(4) - (sqrt(256) - (2*sqrt(256) - sqrt(256)))).\nAnswer: -5 + 36*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 375 and 94800.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.708889 rounded to two decimal places?\nAnswer: -79.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/(l*((l*l*l**(-10))\/l)\/l))*l)\/(l\/(l\/l**(-2\/19))))**(2\/11)*l\/l**(-1\/5)*l*l**(-4\/7)*l*(l*l**(-2\/7))\/(l\/l**(3\/4)) assuming l is positive.\nAnswer: l**(43177\/29260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 56*r. Let d(n) = -4 + 6 + 13*n**2 + 12*n - 10*n - 12*n**2. Let f(x) = -x - 1. Let l(y) = -d(y) - 2*f(y). Calculate l(p(g)).\nAnswer: -3136*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.7 + 5.78. What is m rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 - (-20 + 42 - 13 - 15)) + (2 - 10)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zq when two letters picked without replacement from bzkqc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103 + 85. What is the hundreds digit of -402*(-3 - 48\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 648 - -22.\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 4 - 6)*(-4*v**4 - 3*v**5 + 4*v**4).\nAnswer: -18*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -12*i. Let q(j) be the first derivative of -j**2 - 5. Calculate q(w(s)).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 1 = 7*p - 9*p, 0 = 4*o + 5*p - 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + 0.2. Let k = 1087.3 + -1087. What is the second biggest value in q, -2, k, 3\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-130)\/(-8) - -5)\/((-8)\/(-128)*10)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/70930 and -29\/63837?\nAnswer: 638370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + 59*y - 159. Determine m(-32).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 87754, 175359, 262812, 350113, 437262?\n\"Answer: -76*d**2 + 87833*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3 + 4764*s**2 + 348326*s = 0 for s.\nAnswer: -71, 0, 2453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 8*k**2 - 8*k - 13. Let v be d(9). Let g be (v\/14)\/((-9)\/21). Which is the closest to g? (a) -1 (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 313001020 (base 4) to base 12\nAnswer: aa4b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1224 is divided by 137?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from faffaffaffaaaaaa. What is prob of picking 2 f and 2 a?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 4 + 20. Let y(h) = -h + 1. Let m(w) = -4*w - 4. Let i(k) = -m(k) + 3*y(k). Let x be i(j). Solve -t = -x*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/27426 and -13\/27426.\nAnswer: 27426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3087 + -3087. Which is the closest to -0.2? (a) -6\/11 (b) -2 (c) m (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 84*p**5\/5 + 472*p**4\/5 - 181004*p**3\/5 - 3632784*p**2\/5 - 2196688*p\/5 - 335296\/5 = 0.\nAnswer: -31, -26, -1\/3, -2\/7, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/5*((-570)\/(-12))\/(-19)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -223112?\nAnswer: -223102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 49 = z, -4*z + 244 = 4*k - 0. Suppose z = -81*v + 89*v. Solve a = 5*a + v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.0177 + 1.0177. Put -17, 2, g in descending order.\nAnswer: 2, -17, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from {g: 5, i: 1, o: 1, j: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 240411 - -225?\nAnswer: 240636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**5\/7 + 24343*s**4\/7 - 146197423*s**3\/7 - 23710934279*s**2\/7 - 133814242720*s + 960556806400\/7 = 0.\nAnswer: -80, 1, 12251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*t - 9*t + 1 - 2 as i*t + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4 (b) 80 (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -43907, -175611, -395125, -702455, -1097607?\n\"Answer: -n**3 - 43899*n**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 2*g**3 + 26 - 60.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 5*y + y**2 - 2*y**2 + 8. What is the units digit of i(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/42*14\/(-40). What is the biggest value in 4, v, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/21))**(2\/7) assuming x is positive.\nAnswer: x**(46\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2400 and 4.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88083024.\nAnswer: 2, 3, 61, 67, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 174080 a multiple of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12965155 to the nearest integer?\nAnswer: 3601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7*q**2 - 124*q + 90. Let a be j(-10). What is the greatest common factor of 350 and a?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105665443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(((-3)\/15)\/(2\/(-10)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86405191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5673886 a multiple of 272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1023 * -0.7.\nAnswer: -716.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4690409.600007 - -4690412. Let y = 0.09 + -2.49. Let j = y + s. What is j rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, u: 3}. What is prob of picking 2 u and 1 i?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84 (base 9) to base 7.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**6\/360 - c**5\/30 - c**4\/4 - 5*c**3\/6 - 13*c. Let g(v) be the second derivative of x(v). Determine g(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 129 + 63. Calculate the greatest common factor of s and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x - 11 - 22 - x**2 + 23 + x**3 - 5*x**2. Let u(b) = 7*b**2 - 1. Let q be u(-1). Let g be n(q). Solve -3*z - g*z = 4*o + 20, 0 = -3*z - 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(18)\/(sqrt(2) + sqrt(2)*1)) + -1 - (3 + sqrt(720) + 2*sqrt(720))**2*-4.\nAnswer: 866*sqrt(5) + 25955","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1499800 rounded to the nearest 10000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a - 23. Let v be y(12). Let c = -0.24 - -0.25. Let s = 0.41 - c. What is the biggest value in s, v, -1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 6\/35, 0.7, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -748101 and 28.6847?\nAnswer: 748129.6847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 29, 41, 73, 131, 221, 349?\n\"Answer: t**3 + 4*t**2 - 7*t + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 108.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1915 and 1532.\nAnswer: 7660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11524, -23249, -34962, -46663, -58352, -70029?\n\"Answer: 6*a**2 - 11743*a + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*r + 6. Let m be (-3)\/(-3)*26 + -1. What is the highest common divisor of r and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.47 + 2.47. What is the nearest to w in 0.5, -0.3, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -223 + 240. Let d(h) = -4*h**2 - 6*h. Let c(m) = -11*m**2 - 17*m. Give l*d(b) - 6*c(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1752474 is divided by 6937?\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, x: 2, m: 6, b: 2, e: 6}. What is prob of picking 2 m and 1 x?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2556473747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68624480 and 800?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) 22 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1013, -5539, -17839, -41801, -81313, -140263, -222539?\nAnswer: -332029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.76 take away -0.5?\nAnswer: 84.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and 1.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 4*k + 50, -6*p - k = -p - 75. Suppose 4*s = p + 18. Suppose -3*a = -s*a + 115. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 3 - 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 + 14*n**2 + 99*n + 102. Give x(-6).\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 x when two letters picked without replacement from {c: 5, g: 3, y: 4, x: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2\/48*14 + 7\/(-28)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 + 137 + (2 - (4 - (28 - 2)))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 61 (b) -339924.2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (12\/16)\/3*6\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17326664?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 8*a**2 - a + 4. Let n = -21 + 31. Let t(z) = z - 2. Let v be t(n). Let s be b(v). Let i(j) = -j**3 - 6*j**2 - 6*j - 2. Determine i(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m + 0 + 0)*(-2 + 5 - 7) to z*m + s and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eycm when four letters picked without replacement from eehhmehcchyyhhhec.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7387 * -2\nAnswer: 14774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1020466, -1020605, -1020838, -1021165, -1021586, -1022101?\nAnswer: -1022710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -45828, -1, 4\/9 in decreasing order.\nAnswer: 4\/9, -1, -12, -45828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1839 + 25731\/14. Let z be -10 - -3 - (-2)\/(-4)*0. Calculate the common denominator of r and -2 - 16\/z - (-265)\/(-70).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 - 85 = 2*c. Let n = c + 113. Factor -19*k**3 + 8*k**2 - 21*k**2 - 4 - 17*k - 5*k**n - 14*k**2.\nAnswer: -(k + 1)**3*(5*k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(1\/15))*(n\/(n\/((n\/(n\/(n\/n**(-2\/25))*n*n)*n)\/n)))\/n)\/(((n\/(n*(n*((n\/n**19*n)\/n)\/n)\/n)*n)\/n)\/n**9))**(2\/17) assuming n is positive.\nAnswer: n**(-1798\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(((-320)\/(-224))\/5)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**5\/570 - 25*v**3\/57 + 121*v**2\/2 - 89*v. Let p(y) be the first derivative of w(y). Determine x so that p(x) = 0.\nAnswer: -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17183136?\nAnswer: 2, 3, 71, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 + 2*p**2 + 3*p**2)*(-2 - 147*p - 94*p + 0).\nAnswer: -241*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -440 to the nearest ten.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**2 + m + 3. Let t be u(0). Suppose 0 = 4*o + 2*p + 5 + 13, -t*o - 5*p = 24. Sort -7, -5, o.\nAnswer: -7, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(170) - sqrt(170))*-6)\/(sqrt(70)\/(sqrt(7) + sqrt(21)\/sqrt(3))) + 5.\nAnswer: -24*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 1. Let h be q(1). Suppose -t + 2 = -h*t. Suppose 3*f - 13 = -t*u + 4*f, f = -5*u + 15. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77 (base 10) to base 11\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*c - 108, -5*c - i = 4*i - 135. Is c less than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, y: 1, v: 13}. Give prob of sequence ovo.\nAnswer: 13\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 9*g**2 - 7*g - 17. Let n be p(-4). Let b = 71 + n. Suppose -2*i - 7510 = -b*j, -7510 = -2*j + i - 6*i. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11180 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 228 and 304?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 8 - 0, 3*c + 18 = -3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1747 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120 + -2?\nAnswer: -2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1596, 1570, 1526, 1464?\nAnswer: 1384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*u - 69 = 0. Let i be 2*(u + 5 + -1). Let r = i - -57. Calculate the remainder when 75 is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275000237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -1, 11, -2, -313 in increasing order.\nAnswer: -313, -5, -2, -1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -528840, -62, 9.\nAnswer: -528840, -62, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1715) - (sqrt(1715) - sqrt(1715)*-3)))\/(-1*sqrt(700)*3).\nAnswer: 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k + 4*k + k - 4*k - 8*k + 0*k + (2 - 4 + 0)*(-2*k + 0*k + k))*(-2*k**3 + 6*k**3 - 5*k**3) to i*k**2 + o + d*k**3 + x*k + z*k**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.05 (b) -2\/5 (c) 2601486 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34397 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 11 (b) -3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2. Let q(y) = -8 + 10*y**2 + 3 - 5. Let a(k) = 15*m(k) - q(k). What is the first derivative of a(c) wrt c?\nAnswer: 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88530 divided by -3405.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*l + 116*l + 0 + 0.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1771805?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 12*y. Let p(v) = 166847*v. Give h(p(r)).\nAnswer: 2002164*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -3*f + 17661 - 17679, 3*r = 5*f + 74 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116335 (base 8) to base 2.\nAnswer: -1001110011011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 5 + (-1588)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**2\/6 + 5279*i\/2 - 7919\/3 = 0.\nAnswer: -15838, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30027280573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l. Suppose 0 = -5*m + 32 - 7. Suppose 0 = r - m*r + 8. Let v(n) = 2*n**2 - 6*n**2 + 2*n**r. Calculate v(o(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/72 and 49\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 13, b: 3, y: 4}?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 331915.2 nanometers?\nAnswer: 0.0003319152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 34*u + 1. Let w(o) = -1251*o - 36. Let t(a) = 36*j(a) + w(a). Let y(f) = 151*f. Calculate y(t(i)).\nAnswer: -4077*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**1)**3*(y*y*y**(-1\/4)*y*y)\/(y**4*y))**(-25))**(-18\/7) assuming y is positive.\nAnswer: y**(4275\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (6 - 7) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2367 minus -91986630823?\nAnswer: 91986630822.7633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 183 - 234. Sort -2, -5, c in descending order.\nAnswer: -2, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*w + 5*h, -2*w + 5*h + 18 = 3*h. Suppose 13*j - 2 = w*j. Let i(d) = 193*d - 2. Is i(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4963, -4975, -4965, -4921, -4831?\nAnswer: -4683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -3*j**2 - 171*j + 246. Find the first derivative of l(z) wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16 + -10 - 3\/1. Suppose -14*s = -2*l - 19*s - 17, -l = -j*s - 19. Sort 1, -3, l in descending order.\nAnswer: l, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15760)\/97515)\/(2\/(-9))?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 39.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 w when two letters picked without replacement from osoooskokksssowksko.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26626 is divided by 1212.\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 351*n - 725*n + 24 = -364*n, 0 = 3*x - 11*n + 28 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-507 + 507 + 65*c)*(-2*c + 2 + 5*c - c).\nAnswer: 130*c**2 + 130*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/106416 and 139\/24.\nAnswer: 106416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/49 - -24\/49. Which is the closest to -0.03? (a) -0.2 (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 8*f**2 - 11*f + 16. Let b be l(11). Does 10 divide 4\/3*b\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 5:33 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12450 and 19090?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2. Let g(q) = -92*q**2. Let x(f) = 23*f**2. Let j(n) = 2*g(n) + 9*x(n). Give j(l(u)).\nAnswer: 23*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*(-3*sqrt(112) + sqrt(28)*-2) - (5*sqrt(147)\/sqrt(3))\/(sqrt(700)*-1))**2.\nAnswer: 176967\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 16) to base 11.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5914*n**3*v**3*y**2 - 2*n**3*v*y**2 - n**2*v**3*y - 5*n**2*v**3 - 489*n**2*y**2 + v**2*y**2 wrt n?\nAnswer: -35484*v**3*y**2 - 12*v*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/((-120)\/21))\/(45\/90)*5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 - 43. Suppose -72 = -4*o - f*o. Solve -5*r - 2 = -o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2 + 22 = 0. Suppose 3*v = v + h. Solve a - 20 = -5*b, -v*a - 1 = -5*b + 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - 34*y - 14. Calculate k(18).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*a = 0. Is a less than or equal to -6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 25 = -3. Suppose b = -2*d + 350, 3*b - 2*d - 422 - 604 = 0. Let t be (-2)\/a - b\/(-28). Solve -4*x = -4*y + t, 2*y - 2 = -2*x + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 1 + 1)*(-3241 + 3242 + 3645).\nAnswer: 18230*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 200\/393, -3\/5, -2\/9?\nAnswer: 200\/393","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 27 = 5*h, 0 = 5*h - 2*q + 35 - 12. Sort 0, h, 28.\nAnswer: h, 0, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (96\/(-64))\/(2\/(-8))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2887057631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21054 - 8957. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d + 0*d + 2*d)*(0 - 2*d + 0) + 3*d**2 - 2*d**2 + 3*d**2 - d**2 - 2 + 2 + (-7*d + 10*d - 10*d)*(5*d - 4*d + d) as o + u*d + r*d**2 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a hour in minutes?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 7*x - 8. Suppose 4*l = x*z - 3*z + 12, -4*z = 2*l - 6. Find the third derivative of l*q**2 - 63*q**5 - 5*q**2 + 69*q**5 wrt q.\nAnswer: 360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0841 and -0.61.\nAnswer: -0.051301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**2 + 30 - 3*h**4 + 2*h - 79 + 24 - 3*h**2 + 30 - h**3 in the form c*h**2 + g*h + j + i*h**4 + x*h**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/180 and -133\/54?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 15) to base 2.\nAnswer: -11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 341501204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b - 56 = 38 - 16 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**(-13)*u)\/(((u\/u**12)\/u)\/u))**(-6\/7))**15)**11 assuming u is positive.\nAnswer: u**(-3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*a = 65*a - 108. What is the smallest common multiple of 27 and a?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.14 + 3.04. Let w = h - 2.7. Which is the nearest to -1? (a) -3 (b) -2\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2\/8 - 304*g + 18015\/2 = 0.\nAnswer: 30, 2402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10132113201 (base 4) to base 14.\nAnswer: 22766d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + -1 + 7 + 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 13*u - 11. Suppose 0 = -5*q + 3*q - 20. Calculate the remainder when 55 is divided by h(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 562*b + 457*b - 5628 - 15291 = -82*b for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -3\/2, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-34))\/(1048\/(-2227))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (948\/(-16))\/((-18)\/120) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(242) + -3)**2 - sqrt(4)\/(sqrt(2)*4*-6).\nAnswer: -1506 + 9505*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 + 0 + 2 - 3 - 7*k - k**2 - 2*k**4 + 9*k to q*k + c*k**3 + t*k**2 + w*k**4 + a and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (5 - (3 + 0)). Let b(a) = 25*a**2 + a + 1. Let l be b(p). Let v = -18 + l. Calculate the remainder when 43 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(3\/2)*k*k)\/k*k\/k**0 assuming k is positive.\nAnswer: k**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16201690*0.2.\nAnswer: -3240338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, z: 2, x: 1, i: 11}. What is prob of picking 2 z and 1 i?\nAnswer: 11\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -2. Let l be 1\/(-3) + (-74)\/c. What is the greatest common divisor of l and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d5b + 2?\nAnswer: d5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 15, -4*j - 6*z - 2 = -4*z. Suppose j*g = -3*g - 25. What is the units digit of ((-2)\/g)\/(2\/50)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0053 * -12.781\nAnswer: 0.0677393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 8) + 4 + (4 - 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/2 + 41\/8 and -15*(-4)\/48 - 22\/(-10).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 22*f**2 - 36*f + 62. What are the prime factors of y(18)?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/731, -0.05 in decreasing order.\nAnswer: -1\/731, -0.05, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**0\/a*a)\/a*a)\/a)\/a**(-2\/9) assuming a is positive.\nAnswer: a**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-4212)*-13)\/(3\/((-81)\/87)).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 5, -23, -1 in descending order.\nAnswer: 5, -1, -11, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 59695793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -334 divided by 575?\nAnswer: -334\/575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 536, 565, 580, 575, 544, 481, 380?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**2\/2 + 2*u + 1. Let k(f) = 2*f**3 - 3*f**2 - 2. Calculate the remainder when k(3) is divided by y(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 1, t: 1, m: 2, q: 14}. Give prob of sequence tm.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 470*s + 2391. Calculate the remainder when 6517 is divided by n(-5).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -299 - -493. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21683\/20 - 4893\/4. Let a(x) = -x**3 - 3*x**2 + 7*x - 8. Let h be a(-7). Let i = h + g. Does -1 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 14*r + 6 = -w, 4*r = -3*w - 2. Let t(p) = -1 - p + 32*p**2 + 2*p + 4*p**2. Does 9 divide t(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(77)*-2*4 - sqrt(77)))\/(1*sqrt(11)*2*6).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11235, -11140, -11009, -10842?\n\"Answer: 18*f**2 + 41*f - 11294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 434720 by 5.\nAnswer: 86944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 8. Let p = -5 - -2. Let g = 3 - p. Let k = -1 - g. Let d(b) = b + 7. Determine k*d(o) - 6*n(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008205 rounded to six dps?\nAnswer: 0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8924*t**4 + 18341*t**2 wrt t.\nAnswer: -214176*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + -9. Let z = 45 + -45.5. Which is the closest to 0? (a) z (b) h (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v + v**2 + 7*v - v. Let i be q(-8). Suppose -4*g + 9 + 11 = 0. Solve 0 = n - i*k - 5*k - 7, -3*n + 11 = -g*k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3*x + 547, -3*h + 409 = -0*x - 2*x. Calculate the greatest common divisor of h and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**2 - 4*h - 2. Let r(u) = u**2 + u. Let p(g) = -6*r(g) - 3*w(g). Let c be p(-4). What is the highest common divisor of 12 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/39802 and 93\/102711904.\nAnswer: 718983328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4327, 4340, 4371, 4426, 4511, 4632, 4795?\nAnswer: 5006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 781a6 + 0?\nAnswer: 781a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 - ((23 - 13) + -11 - 7 - -8).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 - 6*f**2 - 4*f + 1. Let s(g) = -g**2 + 2*g + 1. Let m be s(3). Let z be m\/6 + (-22)\/6. Is l(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59847035 to the power of 1\/4, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.5 (b) 4 (c) -3\/4 (d) 0.54 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 624?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 174, 623, 1346, 2343?\n\"Answer: 137*b**2 + 38*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 4. Determine y(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19449594 rounded to 3 decimal places?\nAnswer: -0.194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32299 - -34400.9. Let z = 1627 - r. What is z rounded to the nearest ten?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1781 and 2740?\nAnswer: 35620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 523*n**2 - 939*n + 3. Let t(s) = -2093*s**2 + 3748*s - 11. Let i(g) = -3*t(g) - 11*u(g). What is the second derivative of i(r) wrt r?\nAnswer: 1052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 - 5*x**4 + 2*x**4 + x**4 + (-x**4 + 1 - 1)*(0*x - 3*x + x) + x**5 + 0*x**5 + 0*x**5 - x**5 + x**5 + x**5 + 0*x**3 - x**5 + 0*x**3.\nAnswer: x**5 - 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 5*n + 698 = 661, p - 2*n = -16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/13 + 582*w\/13.\nAnswer: 2*w*(w + 291)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 12*v + 53 - 57. Sort v, 0.2, -0.4, 4, -9 in descending order.\nAnswer: 4, v, 0.2, -0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 226.00475 from -8.\nAnswer: -234.00475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**2 - 4. Let z = -4 + 4. Let q(s) = -5 - 2*s**2 - 2*s**2 + 0*s**3 - s**3 + z*s**2. Suppose -3*x - 6 = -0*x. What is x*q(t) + 3*c(t)?\nAnswer: 2*t**3 - t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -4*w + 5*d, -4*w - 3*d + 41 = -127. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 9 (b) 2\/3 (c) 43 (d) -0.11 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.952743mm to meters.\nAnswer: 0.008952743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3668066240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117820 is divided by 293?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -339.183 - -0.483. Let r = 339 + v. Sort -5, -2\/23, r, -6\/13.\nAnswer: -5, -6\/13, -2\/23, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * -0.05743\nAnswer: -0.0034458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 286*u**2 + 18*u - 2. Let s(p) = 858*p**2 + 64*p - 7. Let v(n) = 7*a(n) - 2*s(n). Let z(b) = 2*b. Determine v(z(o)).\nAnswer: 1144*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6215*i**3 - 2203*i**3 + 972*i**3.\nAnswer: -7446*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 32, 48, 64?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-4)*v*v)\/v)**(-13\/3) assuming v is positive.\nAnswer: v**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1107139, 2214216, 3321233, 4428190, 5535087?\nAnswer: 6641924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*d**2 - 2)*(4*d**2 - d**2 - 6*d**2)*(1 - 1 + 2*d).\nAnswer: 12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4596 = -859*i - 429*i - 732 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3186 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**3 - 16*z**2 - 7*z - 7. Let d be q(-5). Suppose 4*v + 5*k - 9 = d, 0 = 3*v - 2*k - 9. Solve 5 = c, -v*t - 3*c = 2*c - 19 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 12*m**2 + 11*m - 7. Is y(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-12) - 44\/(-112)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2 = 4*z + 7, 0 = -4*c + z + 4. Let y be 2*-137 + (-4 - -3). Let a = -1928\/7 - y. Sort a, c, -0.3.\nAnswer: a, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (0 - (-3 + 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*z**5 - 24*z**4 + 17*z**3 + 14806*z**2 + z wrt z.\nAnswer: 540*z**2 - 576*z + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 197275?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r**3 - 150*r**2 - 451*r + 1116. What is l(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a - 4. Suppose 2*k - 2*j = 20, -5*j - 2 = 3. Suppose 0 = -3*s + 6*s + k. Give i(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**3 - 2*j**2 - j + 2. Let i be u(2). Let n = i - 14. Solve 0*a + n*a + 4 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 34. Suppose 0*g = q*g - 12. Which is smaller: 4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 10*d**2 + 3*d + 3. Let q be y(-9). Let z = q - 34. What are the prime factors of z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -140736553\/3 less than -46912183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-1\/11)*v))\/v)\/v*v*v*v**(-1) assuming v is positive.\nAnswer: v**(-23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/2 + 41*r**3\/2 + 447*r**2 - 1512*r.\nAnswer: -r*(r - 56)*(r - 3)*(r + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3*k*o + 10912*a**3*o**3 - 27*a**3*o - 19*a**2*o + 3*a**2 - 643*k*o**3 - k*o**2 wrt a.\nAnswer: 12*k*o + 65472*o**3 - 162*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 7*x - 9. Let m be b(-6). Let g = m + 14. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54035 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-6 + 4 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*i**4 - 1161*i + 1 - 10*i**3 + i**2 + 1161*i to the form y*i + t*i**3 + c*i**2 + m*i**4 + l and give m.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.71615 to two dps.\nAnswer: 3.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 12:48 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1512 (base 12) to base 10.\nAnswer: -2462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v - 48. Let u = -10 + v. Find c such that 1\/4*c - c**4 + 1\/4*c**5 + 0 + 3\/2*c**3 - c**u = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (6 - (7 + -5 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - s + 1. Let v(x) = -30*x**3 + 2*x**2 + 2*x - 2. Calculate -2*m(l) - v(l).\nAnswer: 28*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -43.15032 and -15.\nAnswer: -58.15032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3804105 millilitres in litres?\nAnswer: 0.0003804105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzzb when four letters picked without replacement from bzbbybzybybyzbbbzbbb.\nAnswer: 22\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 12 = -3*i, 11*o + 8*i = 16*o + 3*i + 50 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78910513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4132102 divided by 317854?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -286, -457, -740, -1135, -1642, -2261?\n\"Answer: -56*h**2 - 3*h - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -1146. Calculate the common denominator of 109\/18 and g\/(-715)*(-10)\/8.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.3 + -18.7. Let a = -35 - -76. Let h = a + d. Which is bigger: h or 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -1, -2\/1837, 2\/69, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(7) + (1*sqrt(112) - sqrt(112)) + -2*1*sqrt(7))**2 + 5 + (sqrt(175)*1)**2 + 0 + 4.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.6 - 3.6. Let y = -3481 - -3485. Which is the fourth biggest value? (a) y (b) t (c) 0 (d) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 28. What is the smallest common multiple of q and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 9 (b) 2\/3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 q when two letters picked without replacement from {j: 5, z: 2, q: 12}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - q + 1. Let f(c) = 2*c**3 - 3*c**2 + 3*c - 3. Suppose 0*y + 4*y + 156 = 4*s, 3*s + 177 = -4*y. Let k = -39 - y. Calculate k*d(n) + f(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 - 231?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -182, -379, -666, -1049, -1534?\nAnswer: -2127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*u - 8. Suppose 5*m + l = 789, u*l = 4*l + 4. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -219, 2, 31, 3 in descending order.\nAnswer: 31, 3, 2, -3, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(88\/(-16) - -6)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + 14 + (-12 - -2) + -2?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 317771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1468 * 5\nAnswer: 7340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1109, -4401, -9895, -17597, -27513, -39649, -54011?\nAnswer: -70605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -2\/7 (c) 0 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136477489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 1.3, 3, -1\/5, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 135\/118 - 38\/59. Which is the closest to -1? (a) 0 (b) z (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4356 and 188100?\nAnswer: 2069100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000010100100010100101 (base 2) in base 11?\nAnswer: -4867772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 494157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27447407 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t. Suppose -b = q - 5, -34 = -2*b - 1032*q + 1036*q. Let d(g) be the first derivative of -b - 14\/3*g**3 + 0*g**2 + 0*g. Determine w(d(y)).\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-3))\/(1\/9) + -1. Let s(h) = -c*h - h - h**2 - 4 + 4. Suppose 0 = x - 5*m - 21, 6*x = 4*x + 2*m + 2. Determine s(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4))**(11\/2)\/((x\/(x**(1\/11)\/x))\/(x*x*x**(-1\/12)*x)) assuming x is positive.\nAnswer: x**(-2771\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**2 + 2*i + 8. Suppose -19 + 17 = z. Let l be 3 - (0 - -6) - z - -7. Calculate d(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 68052 = -5*t, 0 = -j + 13*t - 9*t + 17055. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3b460a8 (base 12) to base 13\nAnswer: -2599991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 406675449*a**2 + 1169056890?\nAnswer: 813350898*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, o: 13}. Give prob of sequence ooy.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**7\/7 + 295*m**6 - 28*m**3\/3 + 32*m**2 - 3152. What is the third derivative of q(w) wrt w?\nAnswer: -120*w**3 + 106200*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -440525 and 4.\nAnswer: -1762100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -28*a + 10\/3*a**3 + 0 - 10*a**2. Let j(x) = 7*x - 7. Give 17*j(r) - 6*s(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -367296 or -367290?\nAnswer: -367296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 443*n - 218*n - 219*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 210*l**2*z**3 - 40*l*z**3 - 3*l*z**2 + 2*z wrt l?\nAnswer: 420*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7918.505745 - 7699.5033. Let h = z - 219. What is h rounded to four dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234634 is divided by 1564.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -2. Suppose 4*n = -0*n + 5*p + 45, -l*n = -4*p - 35. Solve 0 = d - n*d - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 575 = 3*v, 3*v + 3*f - 402 = 168. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 7*x - 7. Let c be d(4). Suppose c*k - 15 = 2*k. Find the second derivative of -4*h**k + 3*h + 4*h - h wrt h.\nAnswer: -80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 991, 988, 983, 976, 967?\n\"Answer: -t**2 + 992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - 3*(1*sqrt(10) - sqrt(10)))\/sqrt(5).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 279989*v*z**2 + 3*z**2 - 13331 wrt v.\nAnswer: 279989*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.289*2143\nAnswer: -619.327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 4\/2105, -1\/3?\nAnswer: 4\/2105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 - 40581812*i + 20291056*i + 20290756*i.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 9 + 3. Let l be f\/2 + 42\/7 + -9. Solve 0 = -u - 2*j - 5, -3 = l*u - u - 3*j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 614*q - 618*q - 6064 = -5*i, -3*i - 2*q + 3656 = 0. Calculate the greatest common factor of i and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -590b (base 12) in base 2?\nAnswer: -10011011011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -10?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 32*u + 275. Determine q(-22).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**3 + 3*o**3 + 3*o**3 + 4886 - 2*o**3.\nAnswer: -2*o**3 + 4886","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4038831753 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (-15)\/7)*-1. Let w = -31 + 31.27. Let h = -0.07 + w. Which is the second biggest value? (a) h (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 7*p**2 - 20*p + 23. Let m be o(9). Find the third derivative of -105*v**2 - 2488*v**3 + 1243*v**3 + m*v**5 + 1251*v**3 wrt v.\nAnswer: 300*v**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 3*w - 2. Let y be t(-5). Let q = y + -5. Solve 3 + 3 = -q*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + -28)*(-1)\/3. Suppose 14 = 2*z - 5*q, 0 = -3*z - 0*z + 2*q + a. Suppose -4*c - 5 = 15, -2 = -2*r - 2*c. Solve r + 0 = z*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -179, -1984, -5409, -10454, -17119, -25404?\n\"Answer: -810*u**2 + 625*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 24*a + 256\/5 - 4\/5*a**2 = 0?\nAnswer: -2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54214497 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-50)*-2*2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52480 by 256.\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 962133 is divided by 1497.\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u. Let o(a) = 30261*a. What is n(o(l))?\nAnswer: -60522*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28428590 and 15050430.\nAnswer: 255857310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**6\/120 + p**5\/10 - p**4\/2 + 7*p**3\/6 - 6*p. Let n(c) be the second derivative of d(c). Factor n(z).\nAnswer: -3*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00043009 rounded to 5 decimal places?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -49. Let f = o + -26. Calculate the greatest common factor of f and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-5) - 1)\/(108\/120)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/2 + (12 - (-147)\/(-14)). Let r(d) = -130*d + 58. What is the units digit of r(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 2*k + 40. Let f be n(-5). List the prime factors of (-6162)\/(-65)*f\/2.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 23\/(-4) - 9\/36. Let v be (2 + 10)\/(4\/p). What is the units digit of 6\/(-21) - v\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 0, -5 in decreasing order.\nAnswer: 32, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.2 - 4.2. Sort -6\/7, 1\/4, n in descending order.\nAnswer: n, 1\/4, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33 - -4?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -4*v - 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o = 721 + 500. Calculate the greatest common divisor of 45 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193.5503 rounded to 0 decimal places?\nAnswer: -194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176540 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0000174 - 0. What is y rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2932 and 26539?\nAnswer: -77812348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*j + 4*v, -3*j + 5*v - 81 + 107 = 0. Factor 4\/7*p**5 + 8\/7*p**j - 4\/7*p + 0*p**3 - 8\/7*p**4 + 0.\nAnswer: 4*p*(p - 1)**3*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -462*n - 248*n - 103*n + 342*n as w*n + j and give w.\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 346, 444, 546, 652?\nAnswer: 762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a millennium in decades?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 1024*o**2 - 28687*o + 4876. Determine a(-29).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*i**2 + 113*i - 113*i)*(-i**2 - 4*i**2 + 3*i**2) to b*i**2 + k + r*i + u*i**3 + l*i**4 and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378\/14*63*2\/81.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -246885 (base 9) to base 6.\nAnswer: -3111505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a litre in millilitres?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0.4, 20, -0.059.\nAnswer: -0.059, 2\/7, 0.4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 7:34 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/10512 and 103\/1440?\nAnswer: 105120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 14400+21672\nAnswer: 36072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 4560.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 995016?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*u + 14 = 0, 5*l - 25 = -8*u + 3*u. Let s be 2 + -2 - (-3 + l). Is 0 at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, y: 1, u: 1, o: 1, d: 1}. What is prob of sequence dod?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*j = 2990, -3*j = -5 - 7. Suppose -8*y = -y - l. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 15, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11733 is divided by 533?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -418, -55?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by 11.\nAnswer: -45\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046867 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 4*g = -0*g - 3*w - 58, -4*w - 91 = -107 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-9 + (21 - -7)) - -7?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h\/h**(3\/35))\/h*(h\/(h*h*h*h**(-36)\/h)*h)\/h assuming h is positive.\nAnswer: h**(1292\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-4)\/(-66)*((-702)\/(-12))\/13). Solve 3*v = 5*j + q, -6*v + 2*j = -v - 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79951924*d**2 - 59049477 wrt d.\nAnswer: -159903848*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 54*r + 12*r - 73740. Calculate the remainder when r is divided by 138.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 (base 9) in base 13?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 13*v**5 - 15019*v**4\/5 - 44588*v**3\/5 - 24848*v**2\/5 + 10272*v\/5 + 5616\/5 = 0.\nAnswer: -2, -1, -2\/5, 6\/13, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 8*v + 80 = 0. Let -76*f**3 + 3*f**2 + 81*f**3 - v*f**4 + f**2 + 25*f**5 + 6*f**2 = 0. What is f?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 - 1080*r**3 + 1015*r**2 + 12900*r.\nAnswer: 5*r*(r - 215)*(r - 4)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - -9. Let b = -33 + g. Let t = -3.08 - -0.08. What is the biggest value in b, -1\/4, t?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -108 + 119. Let w = 9 - 6. Suppose w*n + 3 - 6 = 0. What is the highest common divisor of z and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2, -1\/6, -1\/2, -26293 in descending order.\nAnswer: -1\/6, -1\/2, -2, -11, -26293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 1:56 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/2)\/((-2)\/4). Let p(o) = 2*o**2 + 0*o**2 + t*o**2. Let j(z) = z**2. Let h(x) = 7*x**2 + 211*x - 2420. Let s be h(-39). Give s*p(u) + 22*j(u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -2*u**3\/3 + 23*u**2 - 124*u - 54. What is the derivative of h(o) wrt o?\nAnswer: -4*o + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*i**2 - 12*i**2 - 46*i**2 + (-i + 2 - 2)*(-4*i + 6*i - 8*i) to l*i + v*i**2 + f and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 10*f**2 + 21*f - 116. Give u(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 - 3*b**4 - 2*b**3)*(0*b + 2*b + 3*b) + (3*b**4 - b**4 + 0*b**4)*(5 - 2*b - 5) - 2*b**4 - b**5 + 2*b**4 + b**5 - 4*b**5 + b**5.\nAnswer: -22*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 3. Let v(d) = -d + 3. Let b = 0 - -3. Suppose -7*f = -b*f - 28. Let q = f + -1. Give q*v(a) + 5*r(a).\nAnswer: -a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27243 (base 8) in base 12?\nAnswer: 6aab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.8857679nm?\nAnswer: 0.00000008857679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 6) to base 11\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56.7, -0.5, -0.3 in ascending order.\nAnswer: -56.7, -0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((3 - (1 + -4)) + -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {b: 2, k: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5 + 22*n**4 - 88*n**3 + 42*n**2 + 153*n = 0.\nAnswer: -1, 0, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-44800)\/6*(-1560)\/(-16). Round v to the nearest 10000.\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 times -559.2\nAnswer: -28519.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-1))\/(l\/(l**6*l)*l))**(-2\/3))**(-1\/7) assuming l is positive.\nAnswer: l**(10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 9*x + 20. Let v be q(4). Suppose v*o - 4*o = 3468. Let p be -4*((-12)\/20 - o\/1470). Which is greater: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 30*s + 216.\nAnswer: -(s - 36)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -90*g + 10871. Let v(j) = -2*j. Determine v(y(u)).\nAnswer: 180*u - 21742","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*c - p - 10, 5*p - 13 = -c. Calculate the smallest common multiple of ((-9)\/(-3) - -7)*2 and (4\/(-5))\/(c\/25).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 11\/3)\/((-8)\/(-18)). Let j = -2 - -3. Is v at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 15) to base 6\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y + 85 + 41. Let b(v) = v**2 + 17*v - 15. Let x be b(y). Solve 0*o - 37 = x*o + 5*a, -12 = -2*o + 4*a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*q - 120 = 3*n, -7*n + q - 232 = 5*q for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-2) - 5 - -3. Let b be (3\/(-2) - z)*2. Suppose 3*g + 0*g = -2*u + 102, -b*u - g = -153. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - q + 8. Let m(b) = -5*b**3 + 5*b - 33. Calculate -9*g(n) - 2*m(n).\nAnswer: n**3 - n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704275921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 962 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -54. Let d = i - 7. Let b = -14 - -13.7. What is the second biggest value in b, d, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - k + 0*k - 3*k + 0*k + k + (2 + 1 - 1)*(4*k - 4*k + 2*k) + 15*k - k + 7*k to the form v + c*k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**6 + 3*m**2\/2 - 6. What is the second derivative of r(j) wrt j?\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**3\/7 - 66*w**2\/7 + 225*w\/7 - 162\/7 = 0.\nAnswer: 1, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 10296.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 2*a**3\/3 + 7. Let y(x) = 2*x**2. Calculate y(o(l)).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 7*v. Let w(o) = 6*o**2 + 36*o + 1. Let r(u) = 22*g(u) + 4*w(u). Let f be r(5). Solve -4*z + 13 = -t, -2*t + 3*z - f*z = -10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 898.1244 nanograms in grams?\nAnswer: 0.0000008981244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxzfzzzzfxzxzx. Give prob of sequence zf.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -412*c + 1935. Give i(5).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 2:52 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 236 + -233 - ((-3 - (1 + -2)) + 15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -147\/75239 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**2))\/j**(2\/3)*j**8\/(j**(-5\/3)\/j) assuming j is positive.\nAnswer: j**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(19)*-1)**2 + sqrt(19)*1*4)*-6 + ((sqrt(475) + 1)**2*1 - (-3 + sqrt(475)*1 - sqrt(475))) + -1.\nAnswer: -1346 - 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 28*f + 3. Let b be h(-24). Let y(o) = 100*o**2 + b*o**2 + 5*o - 200*o**2 - 4. What is y(8)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**4\/12 + 2*h**3 - 3*h**2\/2 - 3*h. Let c be o(9). Calculate the highest common factor of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 3*d**5\/4 - 10*d**3\/3 + 17*d. Find the second derivative of h(j) wrt j.\nAnswer: 90*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*r**3 + 3*r**2 + 645*r - 42775 wrt r?\nAnswer: -9*r**2 + 6*r + 645","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*-2*(-1)\/(-6). Let t = -42 + 41. Let f be (-4)\/(-16) + t + 140\/144. Put f, 3, j in descending order.\nAnswer: 3, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104421 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r - 37. Let w be y(-8). Let h = 0.4 + -0.7. Which is the third biggest value? (a) 0 (b) h (c) -5 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285479.\nAnswer: 31, 9209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 423905282?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 1\/3 (c) 11 (d) 2\/3 (e) -131\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -435 (base 15) to base 4\nAnswer: -32312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from ccidiccdcdidccccicc?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10010202 - -1111?\nAnswer: 10012020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -263*m**6 - 3*m**5 - 34*m**2 + 1 wrt m?\nAnswer: -31560*m**3 - 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 819717 is divided by 1346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 7:36 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 799.2563 milligrams?\nAnswer: 799256.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164.14 + -4.5.\nAnswer: 159.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20504 - -36019. Is 108 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11030 + 2?\nAnswer: -11022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-1 + (sqrt(76) - -2*sqrt(76)) + -2)*2 + -5)*1)**2.\nAnswer: -1056*sqrt(19) + 11428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*b = 100*b + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from uvvuv?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 3\/(-2) - 0. Let z = -0.54 - -0.74. Which is the biggest value? (a) 2 (b) z (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 545.36 minutes?\nAnswer: 32721600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -476 - -44050?\nAnswer: 43352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8218, -7943, -7656, -7351, -7022?\n\"Answer: h**3 + 268*h - 8487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 666377 divided by 1.\nAnswer: 666377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.609709 decades?\nAnswer: 6.09709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from boppoxxqpupb. What is prob of picking 1 o and 1 b?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 1237 = -5*t + g, -4*t - 3*g = 995. Let x = t - -458. Suppose -1702 + x = -4*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-150)\/40 - 1\/(-4)*-1. Let y(h) = h**2 + 1. Let a(o) = 7*o**2 + 4*o + 6. Let f(j) = k*y(j) + a(j). Suppose -1 = -s - 3. Determine f(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62\/143 + 8\/13. Put 6, c, -1 in descending order.\nAnswer: 6, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 86*w - 1. Let q(f) = -17*f. Let h(s) = 5*q(s) + y(s). Let u(t) = -4*t + 2 - 2*t + t. What is 4*h(v) + u(v)?\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 14742?\nAnswer: -14745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1129, 2304, 3479, 4654, 5829, 7004?\n\"Answer: 1175*m - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 38 - 30*j + 28*j)*(-245 + 630 + 125).\nAnswer: -1020*j + 14280","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*h - 22145 = -37384 for h.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(17) + -2 - (5 + (2 + sqrt(17))**2).\nAnswer: -26 - 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-184)\/(-115)*15\/84?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tltxtxxhthllt. What is prob of picking 1 h and 2 t?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3079458 to the nearest integer?\nAnswer: 1755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8390 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -13 (b) -2\/7 (c) 8\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 2:45 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o + 4. Suppose 11*t = 1120 + 266. Let a = 128 - t. What is y(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 - 32 = 10*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1124 - -212001230?\nAnswer: 212000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -5*z - 19, 2*z + 0 = 5*n + 4. Let g be (4 + 0)\/(-2) + n. Calculate the lowest common multiple of 8 and 3\/(-12) + (-9)\/g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-45)\/(-4)*(-16)\/(-6). Let y be (-2)\/((-6)\/15) - -10. Calculate the highest common divisor of d and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-1.00747942\nAnswer: 5.0373971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2232 (base 10) to base 11\nAnswer: 174a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 6*t = -9. Suppose -t*d = -3*o - 18, -14 = -5*d - 3*o + 4*o. Suppose 0*a - 14 = -d*a. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2164 divided by 2.\nAnswer: -1082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -4 - -15) + (28 - 15) + -7\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**1*u**(2\/5)\/u*u**4*(u*(u**(-2)*u)\/u)\/u*(((u\/(u**(-2)\/u))\/u)\/(u*u\/(u**6\/u)))\/(u\/(u\/u**(2\/3))*u*u\/u**(-1\/4)) assuming u is positive.\nAnswer: u**(329\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 - -83. Let o = 2 - 0. Let w = 52\/3 - 53\/3. What is the second smallest value in 0.1, w, o, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 602623 and 45885.\nAnswer: 9039345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + d**2 - 81*d**2 - 4*d - 8*d + 12*d.\nAnswer: -80*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5 + 4 + -1 - -16?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156\/(34056\/(-2365)*5\/(-6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 208854.9 from -2.\nAnswer: -208856.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -5*w + 17. Let h be ((-1)\/(-2)*w)\/(2\/(-4)). Solve 3*c - h*c = -5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2687, -2748, -2779, -2774, -2727, -2632, -2483?\nAnswer: -2274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 28042 = -2396. Let c = v + -977. Is c a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 73 = 93. Suppose n + 17 = 7*v - 3*v, -v = 5*n - 20. Put n, -7, q in descending order.\nAnswer: n, q, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*b)*(2*b**3 - b**4 - 2*b**3) - 2*b**5 - b**5 + 2*b**5 + (b**4 + 2*b**4 - 2*b**4)*(-3*b + b + 20*b) + 2*b**5 + 2*b**5 - 6*b**5.\nAnswer: 17*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15397 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4}. Give prob of sequence www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 17\/2*f**2 + 1\/3*f**3 - 11*f + 0*f**4 + 0*f**5 + 0 - 3*f**6. Find the second derivative of p(r) wrt r.\nAnswer: -1080*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(-2\/13)*a)**19\/(a**(-16)*a\/(a\/(a*(a*a**(-2\/23))\/a))) assuming a is positive.\nAnswer: a**(22428\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 22*(-73)\/4818*282*1\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/6 - 2)*30\/(-25). Let n = -9 - -19. Sort -0.5, n, f in increasing order.\nAnswer: -0.5, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 1. Let n(m) = -18*m - 80. Let y(s) = -10*s - 36. Let p(j) = 4*n(j) - 9*y(j). Calculate 6*a(q) - p(q).\nAnswer: -12*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 391 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**4\/12 - 5*r**3 - 51*r**2 - 67*r. Let p be m(-4). Solve -13 = p*t - 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*k - 348 = 78*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (140\/(-50))\/(3\/(-255))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 + -554\/9. Factor -2\/9*j**3 + a - 10\/9*j + 8\/9*j**2.\nAnswer: -2*(j - 2)*(j - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.18313 and -1.\nAnswer: -0.18313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a kilometer in meters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-5)\/(-45)*-107 - -6).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 30*d**3 - 21*d**2 + 51*d + 38. What are the prime factors of u(7)?\nAnswer: 2, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2180\/3 less than -726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2003654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -151 + 156. Suppose r*p - 10 = 2*h, 12 = 6*p - 3*p. Let c(y) = -2*y - 7. Let j be (-1)\/(-3)*1*3. Let f(u) = 1. Give h*f(b) + j*c(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111695349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 1. Let m = -31 - -36. Suppose 24 = m*o + 109. Let z = o + 17. Give i(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 338.4048 microseconds?\nAnswer: 0.00000564008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1 (b) -0.5 (c) 4 (d) -17 (e) -134\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -774544 divided by -6\nAnswer: 387272\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v - 2. Let s(j) = -5*j - 3. Let p(u) = 7*q(u) - 4*s(u). Let c be p(-6). Factor 2\/3*h**3 + 0*h**2 - 1\/3 + 1\/3*h**c - 2\/3*h.\nAnswer: (h - 1)*(h + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gohuou. Give prob of sequence ghuo.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*a + 3)*(43*a - 2 - 38*a + 3).\nAnswer: 10*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -900 and -899 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 34. Let b be g(0). Let m be (-5 - b\/(-6))\/((-1)\/(-333)). What is the greatest common divisor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 3*s**2 - 2*s**2 + 8*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/8 in 3, 0.5, -5, 4\/7, -1\/82?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 4486545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 times 8?\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.25 minus -1431.48?\nAnswer: 1377.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1*-6 - -3) + 53255. Suppose 17762 = s - 5*p, k = 3*s + p + p. Let r = -248417\/14 + s. Calculate the common denominator of r and 91\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7969932km in micrometers?\nAnswer: 796993200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 318292388 and 3?\nAnswer: 954877164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -21*a**2 - 2*a + 1. Let x be u(1). Let f = x - -46. Let l = f - 13. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/4, 0.2, -3, 7, -2277\/14, 2\/3?\nAnswer: -2277\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/7, 54, -9764?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 78*l + 628. Let m be f(-8). Solve 4*q - 6 = -2, m*q = u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, f: 2, s: 1, y: 1, q: 1, l: 1}. Give prob of picking 1 d, 1 l, and 2 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.037811 times -0.5\nAnswer: -0.0189055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/120 + (-38)\/(-24)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5496 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 8 = 112. Let f be ((-108)\/15)\/(s\/160). Solve 3*a = -5*h - 8 + f, 3*h - 15 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 459 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(14*(-4)\/(-4)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19145 - 6778. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(152)*1 - sqrt(152))*2 - (sqrt(152) + 1*(2*sqrt(152) + sqrt(152))))\/(sqrt(968)*1*-6) + 4.\nAnswer: -2*sqrt(19)\/33 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27191141 is divided by 705.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - 1. Let n = k - -49. Solve -4*t + n = 2*a, -2*t - 5*a - 13 - 4 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 16 = -3*k. Suppose -12 = 4*o, -p = 5*o - 0*o - 126. Suppose p = 7*b + 29. What is the greatest common divisor of b and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*u - 522 = 18. Let p(b) = 30*b + 117. What is the remainder when p(u) is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -31.6, -2\/27, -4, 2.2?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(-1)\/((-6)\/(-4)). Let w(z) = 2*z**3 - z + 2. Let v be w(2). Suppose 0 = t*x - 12 - v. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w + 33*w. Put 102, 2, w in increasing order.\nAnswer: w, 2, 102","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h. Let t = 14 - h. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -11*u - 56 + 30 + 28. Let d(j) = -55*j + 11. Let a(z) = 2*d(z) - 11*k(z). Let b(s) = 9*s**2. What is b(a(f))?\nAnswer: 1089*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 5*o - 14, -m + o = m - 5. Solve 3*w = 5*w + m*p - 25, 3*w = -3*p + 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 - 41 - 38 + 116 + 1234*z as y + b*z and give b.\nAnswer: 1234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/(-84) - (6 + 1771\/(-28) - 6)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 9*z**2 + 14*z - 9. What is q(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -4)*14*3\/18. Let j be 1 - (i - 6\/(-2)). Solve -j*l - 9 - 1 = -3*n, 2*n + 5 = l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**2 - 35*f + 445. What is the units digit of q(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 18*k + 46622 = 23*k, -k - 108772 = -7*y. What are the prime factors of y?\nAnswer: 41, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 o, and 1 l when three letters picked without replacement from {o: 2, l: 10, w: 2, c: 2, m: 2, v: 1}.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-20670)\/520*(-4)\/(-6) and -4\/213?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5*s + 42 = 0, 0 = -m + 27*s - 31*s + 30 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/18 and 614\/180 + (129\/45 - 3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 7636*g - 419975. Give b(55).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 1 + 21283088*c**3 - 21283089*c**3 - 72*c + 37*c**2 + 55. Determine k(35).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5134 + 8908. List the prime factors of j.\nAnswer: 2, 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, -0.4, 2\/7 in decreasing order.\nAnswer: 2\/7, -1\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y + 16. Is 18 a factor of z(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1309 + -229. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbwwwbbbbbbwwwwwww. What is prob of picking 3 w?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -107*c**4\/2 + 2*c**3\/3 + 3*c**2\/2 + 3*c - 328. What is the third derivative of u(b) wrt b?\nAnswer: -1284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1475, -3866, -7017, -10928, -15599, -21030, -27221?\n\"Answer: -380*i**2 - 1251*i + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3200121 (base 4) to base 15\nAnswer: -43c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 177 + -202. Let b be (-5)\/(i\/20) - 57\/15. Sort -0.4, b, 0.4, 0.5 in descending order.\nAnswer: 0.5, 0.4, b, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5398033488 and 1072?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212224 is divided by 70411?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7810768613566 + 3*u**2 - 7810768613566.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*i**2 + 6152*i + 1 - 6824*i - 1.\nAnswer: -40*i**2 - 672*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 72.42818 micrometers?\nAnswer: 0.00000007242818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 smaller than -3\/964?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -123 + 126.95. Let k = -4 + t. Round k to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77 - 49. Let y = f + 3. Let u = 31.0023 - y. Round u to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*o, -g - 3*o + 257903 = 4*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.484 + 23.484. Which is the nearest to -4? (a) h (b) 0.11 (c) 1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {y: 3, p: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*(l\/l**(-5))\/l*l)**(-32) assuming l is positive.\nAnswer: l**(-256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(77)*1*-5 - sqrt(77) - sqrt(77) - sqrt(77)))\/((sqrt(112) - (sqrt(112) - (sqrt(112) - (-1*sqrt(112) + sqrt(112)))))*-4) + 1)**2 + -5.\nAnswer: -4*sqrt(11) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - 60\/8*(3 + 5). Let z = 68 + k. Let u(d) = 3 - d**3 + 9*d - 3*d - z*d - 2*d. Let b(x) = 3*x**3 + 2*x - 8. Determine 3*b(a) + 8*u(a).\nAnswer: a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 606713176 by -10460572.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -5*c**3 - 1090*c**2 - 12535*c - 36050 = 0?\nAnswer: -206, -7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k*(k\/((k\/(k*k*k**(-1\/4))*k)\/k))\/k)\/k)*(k\/k**(5\/8))\/k*(k**(-4)*k)**(-30))**(-1\/3) assuming k is positive.\nAnswer: k**(-709\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12920 divided by -3230?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - -3. Calculate the highest common factor of y and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 910 is divided by 102.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1134438108?\nAnswer: 2, 3, 23, 4110283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q + 17*q + 20 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-4)*m)\/m*m**1)\/(m**1)**(-24))\/((m**(2\/3))**9\/(m**(-6)*(m**7*m)\/m)) assuming m is positive.\nAnswer: m**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t = 3*y - 68, 0 = -y + 5*t + 41. Let j be (-4)\/4*((-4)\/(-2) - 2). Suppose i - 36 + 34 = j. What is the smallest common multiple of i and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -36498*h + 145975. What is o(4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, l: 11, v: 6}. What is prob of sequence vlo?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, u: 2, b: 1, m: 1, x: 1}. Give prob of picking 2 a.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56448 and 81144.\nAnswer: 1298304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, 1\/3, 0.3, -1\/33?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqkqiiqkikk. Give prob of picking 3 q and 1 k.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -0.7. Which is the second smallest value? (a) 0.02 (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*m - 26*d + 24*d - 33*d, -12 = 3*m + 3*d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c**2 - 8*c**2 + 2*c**4)*(-4 - 4 + 2)*(-1 - 3 - 7).\nAnswer: 132*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 3*z + 4*c, -5*z + 214*c - 15 = 209*c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 9933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1555, 1569, 1599, 1651, 1731, 1845, 1999?\n\"Answer: g**3 + 2*g**2 + g + 1551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 7:34 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1682, -3248, -4824, -6410?\n\"Answer: -5*x**2 - 1551*x - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40\/9? (a) 3 (b) 2\/13 (c) -8 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 122075702771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 6*x - 22. Determine g(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + a**2 + a - 4836. Let f be z(0). Let b be 1\/1 - f\/28. Let y = b + -174. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f - 18*f)*(-2 + 1 - 1) + 2*f - 18*f - 10*f + (-3*f + 3*f - 2*f)*(-2 + 5 - 2).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/949 + -137587\/5694. Let r be 90993\/11368 - (1 + 7). Let n = -3701\/2552 - r. Calculate the common denominator of n and u.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1093545\/1229 not equal to -890?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c. Let i(g) = 10*g**2 + 3*g + 3. Let o(v) = -30*v**2 - 10*v - 10. Let n(w) = -20*i(w) - 6*o(w). Give p(n(m)).\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54697\/3861 - -1\/7722. Calculate the common denominator of c and (-12)\/2*19\/(-32).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42979 is divided by 72.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 5*v - 5, 2*p - 3*v + 8*v = 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 12*l**2 - l + 9. Let m be a(12). Let x be (33\/2)\/(-11)*2\/m. Solve -j + 2 + x = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.52 - -4. Let b = 0.02 + d. What is the third smallest value in 0, -0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*l + 7 + 7 = 0, o - 13 = 4*l. Let a be 3\/12 - (-30)\/8. Let v be (a\/(-147))\/((-6)\/(-9)). Do o and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cclullclnlh. Give prob of sequence hn.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 10:30 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/5588849 and -9\/388.\nAnswer: 22355396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 87*k - 11. Let v be m(2). Suppose u - 6*u + 4*j + 695 = 0, 0 = u + 4*j - v. Suppose 0 = 2*w - 26. What is the greatest common factor of u and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 0 + 2 + 1. What is the remainder when 1 is divided by z - (3 + -5) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 22*h**2 - 2*h + 45. Let y be d(22). Suppose 0 = -g + 5*l + 11977, -2*l - 5 = -y. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o - 25. Let l be s(-10). Calculate the highest common factor of 30 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42960\/1914405 - (-4)\/(-46)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1324248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 4*c + 5*y, 3*y + 13 = 49*c - 45*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s - 2. Let y be t(-6). Let k = y - -10. Let l be 12\/(-4) + 5 + k. Let h(c) = c - 1. Let q(v) = -4*v + 6. What is l*q(b) - 11*h(b)?\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 5*v + 80 = 0, 26 = -1139*q + 1162*q + 5*v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (36 + -22 + -25)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uowkwvwkookqoukowwk. Give prob of picking 1 k and 2 u.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = d - 9, -14 = -2*q + 5*d. What is the hundreds digit of (-658)\/14*(-9 - q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 24844?\nAnswer: -24846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - -14. Suppose -7 = -g + y. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -4, 111, 0, 4 in increasing order.\nAnswer: -67, -4, 0, 4, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(-3*sqrt(9)*-1))\/(sqrt(16)\/(sqrt(36)\/(sqrt(18)\/sqrt(2)))).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*w - 14*w + 162*w + 1267 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 37645163 divided by 15\nAnswer: 37645163\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f. Let g(v) be the second derivative of 3*v**3\/2 + 6*v. What is g(t(q))?\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 54\/9*2\/4*-1. Let m be z\/4*(-96)\/252. Sort 2\/3, 1, m, -0.4 in increasing order.\nAnswer: -0.4, m, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 1 + 16\/4. Suppose 10*i - o*i = -25. Let l(u) = -u**3 - 4*u**2 + 2*u. Is l(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 + 4*r**2 + 3*r + 6. Let o be x(-5). Let l be 7*((-498)\/21 + 4). Let v = l + o. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqn when three letters picked without replacement from {e: 1, q: 2, w: 1, v: 2, n: 2, g: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1250\/18375*(33\/30 - (-2)\/(-4))\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-28*136\/(-238).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -290 at most -207603\/718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z = 0. Suppose -3*r + 62 + 34 = 0. Suppose z = 6*l - 5*l - r. What is the remainder when l is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.289 (b) 2\/5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8274.44268us to weeks.\nAnswer: 0.0000000136812875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a millimeter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**3 - 23*w**3 + 14*w**2 - 32*w**2 wrt w?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -753, -1506, -2247, -2970, -3669, -4338, -4971, -5562?\nAnswer: -6105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + 0*g**3 - 3*g**3)*((-3*g + g + 0*g)*(4*g - 4*g - 2*g) + g**2 - g**2 - g**2).\nAnswer: -6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 98, 101, 116, 149, 206?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 239 - 244. Find the common denominator of -1\/27 and -6 + m + 20783\/1932.\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*h - 64 = j, 2*h - 34 = 2*j. Let o(d) = 9*d + 13. Let z(g) = -4*g - 6. Determine j*z(x) - 6*o(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*z + 72 = 178*z. Let s(k) = 5*k - 10. Determine s(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z**3 - 2*z + 1. Let q be c(1). Suppose 2*g + 2*h + 316000 = 4*g, 316000 = 2*g + q*h. Round g to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 2\/35*q**7 + 1\/12*q**4 - 7\/120*q**6 + q + 29\/20*q**5 + 0*q**3 + 0 - 140*q**2. What is the third derivative of s(r) wrt r?\nAnswer: 288*r - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*b - 32, 0 = 3*a - 4*b - 0 + 1. Suppose r + r - 73 = -y, -3*r = -a*y - 116. Let i = 77 - r. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004153 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27633, 55268, 82903, 110538, 138173?\nAnswer: 165808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8949065 + 1983665. What is x rounded to the nearest 10000?\nAnswer: -6970000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 4*k + 3. Let r be p(3). Let v(o) = -o**3 - 20*o**2 - 2*o - 36. Let d be v(-20). Solve r = -d*n - n + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38136 divided by -12712?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 954812430 divided by -445134.\nAnswer: -2145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/161 and 22\/712517.\nAnswer: 4987619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**5 - 92*b**4 - 808*b**3 - 3312*b**2 - 6048*b - 3456.\nAnswer: -4*(b + 1)*(b + 4)*(b + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 - -2 - (108 - 108)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*v**2\/5 + 8238546*v\/5 - 2353872\/5 = 0. What is v?\nAnswer: -392312, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**5\/50 + 37*l**4\/15 - 29*l**3\/3 + 72*l**2\/5 + l + 271. Factor n(j).\nAnswer: -2*(j - 72)*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u. Suppose u = o - 2*z - 15, 4*o - 2*z = -z + 53. Calculate the remainder when o is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 2. Put 3, -3, u in ascending order.\nAnswer: u, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -41*y. Let v(k) = 2*k**2 - 4. Determine v(t(h)).\nAnswer: 3362*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -654*o + 10*o**4 - 2*o**2 + 13*o**3 - 3*o**3 - 13*o**3 - 22*o**3 - 3*o**3 wrt o?\nAnswer: 240*o - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*i*k**4 + 2982*i*k**2 + 558*i - 273*k**2 - 5731 wrt k?\nAnswer: -12*i*k**3 + 5964*i*k - 546*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4432 (base 9) to base 7.\nAnswer: -12350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnwn when four letters picked without replacement from {w: 8, n: 8, m: 1, y: 1}?\nAnswer: 98\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/10 - (-28)\/35?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27584\/99 or -278?\nAnswer: -278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from yzzzzzyzyzyyzzzzzyz?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 102023 (b) -2 (c) -1\/3 (d) -1\/2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 3*s + 6 - 3 - 3*s. Calculate the remainder when 75 is divided by w(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -20, -18, -8?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/174? (a) 0 (b) -2 (c) 24\/127 (d) 0.59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 2:32 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10690122*c*h*s - 45391*c*h - c*s + 73*c with respect to s.\nAnswer: 10690122*c*h - c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by (-6)\/14 + (-708)\/(-84)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 1\/42*n**7 + 0*n**5 + 0*n**2 + 0 + 2\/3*n**3 + 0*n**4 - 2*n + 0*n**6. What is the second derivative of w(x) wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12980 and 0.14.\nAnswer: 1817.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 44*z - 3. Let a(d) = -d**3 + 5*d**2 + 2*d - 6. Let s be a(5). Suppose 3*p = 2 + s. Is y(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*h - 421 - 99, 0 = -3*g + 5*h - 396. Let i = g - -383\/3. What is the nearest to i in -3\/8, 7\/6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-18)*(-240)\/200\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 65 + -21 + -17 + 4 + 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6335695533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6 = -0*v. Let i = 4 + v. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2298.811 rounded to the nearest 10?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8053\/4 - 281863\/140. Sort y, -0.1, -1\/2, 0.07 in increasing order.\nAnswer: -1\/2, -0.1, y, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10670 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2191051014 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2704?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 200969 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**2 - h - 44. Let g be k(-9). Let z = g - -362. Let b(d) = 3*d**2 + 0*d**2 - 6*d**2 - 4 + d**3. Determine b(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 3*l - 16 - 4, 5*g - 32 = -3*l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 56 = -7*d. Suppose -d*v + 204 = -17*v. What is the tens digit of 8\/v + (-2658)\/(-51)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1494154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -10. Let w = x - 5. What is the remainder when 4 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25713 is divided by 158?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14+314008\nAnswer: 314022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*-3*((sqrt(1331)*-2*-2)**2 + 4).\nAnswer: -127800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/18)\/(30\/6993). Let u = b - -8473\/180. What is the common denominator of 11\/7 and u?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 f when two letters picked without replacement from {u: 1, f: 1, q: 1, e: 1, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*c**3 + 22235*c**2 - 6177160*c - 1545680 = 0. What is c?\nAnswer: -1\/4, 556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**3 - 4*a**2 + 5*a. Let n(v) = -51*v + 3*v**2 + 47*v - 5 + 2*v**3 + 5. Let q = 27 - -7. Let h be q\/(-8) + (-1)\/(-4). What is h*y(w) - 5*n(w)?\nAnswer: 2*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3\/5*t**2 + 0 + 1263\/5*t = 0.\nAnswer: -421, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 10:07 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 10. Let l = -412 - -414. Let j(d) = -2*d + 0 - 1774*d**2 + 1775*d**2 - 2 - l. What is j(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*s + 2*s - 2*s)*((0 - 1 + 3)*(0 - 1 - 1) + 6 + 1 + 1) as r + l*s and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 520781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 3118, 1\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -21.6\nAnswer: 8.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 431, 4?\nAnswer: 431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 303979 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven tenths of a century?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*t = -75*t + 88 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 2 + sqrt(704) + (-1*sqrt(11) + -5 - sqrt(11))**2.\nAnswer: 71 + 29*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k. Let q(t) = 7*t**3 + 2*t + 2*t**3 - 12*t**3 - 2. Suppose -4*x + 4*v = -24, 4*x - 12 = 8*x + 5*v. Suppose -57*o = -62*o + 5. Give o*q(p) + x*f(p).\nAnswer: -3*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/21 and ((-120)\/16)\/((-288)\/(-52)).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*d - 5*c, 2*d = 7*d - c - 13. Let a(m) = -7*m + d + m**2 - 6 + 2. Give a(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = v - 16. Suppose i + 0 = v. Solve -3*o - 15 = i*q, 15 = -2*q - 0*q - 3*o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 - -82. Let r = 99 + w. Let x = r - 79. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/192754 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1 (b) -2\/15 (c) 1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-330)\/20*(-2)\/3. Suppose 159 = -4*i + k. Let l = -21 - i. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1. Let c(q) = -5*q**2 - q - 2. Let h(r) = c(r) - 6*y(r). Let u be ((-2142)\/(-1190))\/(24\/(-40)). Calculate h(u).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*q - 4 = 0, -4*o + 0*o + 12 = q. Suppose 0 = 5*z - o*z - 3. Solve 2*a = a - z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-15)\/10*(0 + (-8)\/(-6)) and 16\/25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53240 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 8. Let r(a) = 13*a - 540 + 546 - 6*a - a**2. Calculate the remainder when 22 is divided by r(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1519 + 1524. What is the fourth biggest value in -29, 11, 2\/7, s?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i**4 + 1 - 15*i**4 + 11*i**4 + (11*i + i - 5*i)*(-i**3 + 2*i - 2*i).\nAnswer: -5*i**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5 + 6*z**2 + 2*z**2 + 2 + 2*z + 1. Calculate the remainder when p(-2) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7495840\/120 - (-28)\/42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180 - -177)*(51\/9 + -2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 332*v + 2. Let t(j) = 666*j + 4. Let l(q) = -t(q) + 2*x(q). Let c = -8 + 6. What is l(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.056 + -478.84\nAnswer: -478.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 159082 to the nearest 1000.\nAnswer: 159000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 232, -294, -4 in ascending order.\nAnswer: -294, -4, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.29878 - -0.69878. Let r = -85\/78 + 12\/13. Let y be (-3)\/(((-9)\/(-2))\/1). What is the closest to y in l, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 109 + -105. Suppose -c - j + 21 = 0, -k*j - 20 = -4*c + 96. Calculate the remainder when c is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-508*j**2 + 246*j**2 + 561*j**2)*(2*j + j - j + (5*j - 4*j - 2*j)*(4 - 1 - 2)) in the form h + r*j**2 + x*j + f*j**3 and give f.\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddddddd. Give prob of picking 3 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 338 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3427003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13451140 (base 7) to base 6\nAnswer: -42531251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 16 = 3*k, 3*i - 3*k - 6 = 12. Suppose -5*n = 2*p + 5 - 16, 0 = 3*p - 3*n + 15. Sort -5, i, p in decreasing order.\nAnswer: i, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -9. Suppose -2*z - v*z = -24. Calculate the highest common factor of z and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 1. Let w be c(2). Let r be w\/1*(-140)\/(-3). Let z(l) = -l**2 - 26*l - 5. Let a be z(-25). Calculate the highest common factor of r and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/62 + -105\/248. Let p = 1.43 - 0.13. Let i = -1.4 + p. Sort 2, i, r in ascending order.\nAnswer: r, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbmbmbmbbb. Give prob of picking 4 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-5 + (5 - 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63184*b**2*o*y - 12*b**2*o - 3*b**2*y + 149*b*o*y - 4*b*o + 2*b*y + 4*b + o - 41*y wrt b.\nAnswer: -126368*o*y - 24*o - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/4)\/(s\/s**(1\/9)))\/(s\/s**(-3\/5)*s**(2\/9)\/s) assuming s is positive.\nAnswer: s**(-443\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zqcxcxdcqc. What is prob of picking 1 c, 2 q, and 1 d?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 - -116. Let p = 21 - 13. Let y be 2\/p - (-4)\/(-16). Solve y = -4*x - 8, -x + 3*x = -3*s - m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -18.2 times -2\nAnswer: 36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 10, e: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by -17?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8.418285nm?\nAnswer: 0.000000000008418285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 212 - 188. What is the remainder when d is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/14)\/(645\/(-903)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1332 (base 12) in base 8?\nAnswer: -4226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 422795449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120125320 (base 6) to base 13.\nAnswer: 60a7b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-7)\/56*10?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1742.5 to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4 + 282*x**3 + 1827*x**2 - 2658*x - 4200 = 0 for x.\nAnswer: -7, -1, 2, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/6*12\/(-8). Let i = 31.28 - 31. Let v = -0.02 - i. What is the closest to u in 0.2, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*173.\nAnswer: 3633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 9. Let y be -4*((-21)\/6 + 3). Suppose -4*i = -4*v - 36, 5*i + y*v + 1 - 18 = 0. Solve -n*b - 38 = -i*d + 2, 2*b + d + 1 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28.6 - -7.4. Let l = -35.99999961 + t. Round l to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.0954\nAnswer: -0.1908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.4 - -3. Let z = k - -0.1. Let r be -5*(0 + (-4)\/70). What is the nearest to 1 in z, 0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -435, -1382, -2349, -3336, -4343, -5370, -6417?\nAnswer: -7484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 + 4 + 5 - 16 + 7. Let m(j) = 157*j**2. Calculate y(m(q)).\nAnswer: -49298*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-19800)*530 + 16\/18?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 199598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjqifqfqzfz. What is prob of sequence izfz?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + (2 + sqrt(108)*6 - (1 + 2 + sqrt(3) - (sqrt(3) - (-1 + sqrt(3)))*1)))**2.\nAnswer: -7368 + 420*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 5, -4, 141, -1 in ascending order.\nAnswer: -4, -1, 5, 11, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 48*j**2 + 104*j + 422. Let a be p(-46). Let h(x) = -15*x**2 + 2*x. Let u(q) = -481*q**2 + 65*q. What is a*h(d) + 4*u(d)?\nAnswer: 26*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 41, 0 in ascending order.\nAnswer: 0, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 2 = -2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120208639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 3\/2. Suppose -4*r - 264 = 4*r. Let n = 31 + r. What is the second smallest value in -5, -1, g, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 + 9*k - 7. Let q(y) = -3*y**2 - 10*y + 8. What is -4*q(n) - 5*r(n)?\nAnswer: -3*n**2 - 5*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -3\/2*n**3 + 21\/2*n**2 + 0 + 3*n. What is the units digit of k(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -89, -173, -253, -329, -401, -469, -533?\n\"Answer: 2*z**2 - 90*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96534595 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/86 or 844?\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5059.\nAnswer: 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 4*t**2 + 2*t + 24. Give b(6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.60767 plus -322876.2842?\nAnswer: -322876.89187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 10) to base 9.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4, 88, 316, 760, 1492, 2584, 4108?\n\"Answer: 12*p**3 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 32 = 2. Let c(a) = 10*a - 9*a - 2*a**2 + 7*a + 19 + 19*a. What is the remainder when c(9) is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t. What is the remainder when 0\/(-1) - 88\/(-4) is divided by m(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 11*y**2 + 2*y - 1. Let h be t(1). What are the prime factors of 1\/6 - (-190)\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*g + 6490 + 422, 0 = 2*g + 6. Suppose 64*c = 61*c + n. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -254767 + -1112764. Let x = -127531 - j. Round x to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, e: 1, h: 3}. Give prob of picking 2 h.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2704*m**2 - 2702*m + 2 = 0 for m.\nAnswer: -1, 1\/1352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.40573 micrograms to tonnes.\nAnswer: 0.00000000003940573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 114*f - 146*f - 128 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 30. Suppose -r = -8*i + 3*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -135 - -141. Let d be v + -6 - (-5 + 29). Is d at least -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -319 + 319 - 69*g - 2*g + g + 3*g + (-g - g + 0*g)*(3 + 0 - 1) + 20*g - 46*g + 23*g.\nAnswer: -74*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000103217137 rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*x = -7878 + 8340 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - 7\/(-3))*-12. Let n be (3*x\/(-36))\/(2\/(-369)). Suppose -108 = 5*p - n. What is the lowest common multiple of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-255)\/(-25))\/((-16)\/(-80)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 1 + 1)*(0 - 4 + 6) - 6*q + 8*q + 9*q - q + 5*q - 2*q + (1 - 1 - 2*q)*(-2 + 2 + 2).\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10320 (base 4) to base 3\nAnswer: -102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -n + 107, -8*n + 3*n + 5*h + 535 = 0. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 1, -2\/11, 0.08 in descending order.\nAnswer: 1, 0.08, -2\/11, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 6*r - 6. Let t be (-63)\/(-14) - 2\/4. Suppose -f + 3 + 4 = m, 0 = t*f - 4*m - 4. Let i be p(f). Solve x - 2 = i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 13. Let d = 42 + -36. Is d < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0*b*b)\/(b\/(b\/(b*b**(2\/11))))*b*b\/b**0*b*b**(1\/2)\/b assuming b is positive.\nAnswer: b**(73\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b - 11. Let t(u) be the second derivative of 5*u**2 + u. Let q(n) = 4*t(n) + 3*w(n). What is the tens digit of q(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8451 - 0.83. Let a = -0.01 + y. What is a rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37211 and 879.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6034 + 6595. Which is the third biggest value? (a) k (b) 2 (c) -1\/3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 163, -3 in ascending order.\nAnswer: -5, -3, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + 7 + 3 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y + 53 = 3 - 2. Sort -0.4, y, 88, -0.5, 0.4 in ascending order.\nAnswer: y, -0.5, -0.4, 0.4, 88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 1. Let v(b) = -b**2 - b - 1. Let h be v(0). Let c(g) = -4*g - 6. Let r(t) = h*c(t) + 6*y(t). Let q be r(-2). Solve -q*u - 6 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 6\/13, -5, -1\/8, 0 in descending order.\nAnswer: 6\/13, 0.03, 0, -1\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1.6 (b) -0.08 (c) 4\/3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 less than or equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14543 = 45*g + 14993 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/10 + (-189)\/(-45). Suppose -3*z = -t*n - 42, z - 3*z = n - 28. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12932 = -15\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**6\/10 + 3*j**5\/10 - j**4\/4 - 3*j. What is u in q(u) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -191, -0.2 in ascending order.\nAnswer: -191, -5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80726600 divided by 1614532.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*0.52.\nAnswer: 0.0676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 3, z: 1}. What is prob of sequence jd?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23083954 and 303.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (60\/12)\/(-2 + 3). Solve -2*m + 5*m + 5 = z, -5*m = -w*z + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 - 318070*r**3 + 12648132814*r**2 - 164371977146*r.\nAnswer: 2*r*(r - 79511)**2*(r - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.8047324 to 1 dp.\nAnswer: -35.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 0, -5*h = -2*p - 20324 - 9878. Let x = -10601 - p. Round x to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 12:32 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.3442 - -48764.\nAnswer: 48775.3442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31*(-3)\/24*-4)\/((-81)\/162).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from fsfsyyyyssyysfsybysb?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 1. Let a(b) = -b**2 + 37*b + 39. Let c be a(38). Let o(w) = -3*w. Determine c*o(i) - 2*r(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h. Let z(m) = 5*m + 2. Suppose 2 = -4*f + 2*f. Let x(c) = f*z(c) + 4*u(c). What is x(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(1\/3)*w))**(-33))**(37\/4)*(w**1\/((w*w**1*w)\/w))\/(((w\/(w\/(w\/w**(-1))))\/w)\/w)**26 assuming w is positive.\nAnswer: w**(403\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.9 (b) -2 (c) -0.63 (d) -42\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 9*v**2 + 5*v + 4. Let d(m) = 26*m**2 + 15*m + 12. Let z(s) = 6*d(s) - 17*o(s). What are the prime factors of z(3)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10129?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*p = 14*p + 2412. What is the remainder when 256 is divided by p?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*w - 128, 3*w + w + 5*z = 106. Suppose -5*o = p - w, -4*p - p = 3*o - 120. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 1106?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4051 is divided by 119?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 11) to base 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3108 - 54.78.\nAnswer: 3053.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 84*u - 2497. Calculate o(24).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -24) + 1 + -5 + (-22 - -25).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/5*x**3 - 2*x**2 + 171\/5*x + 0 = 0. What is x?\nAnswer: -19, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-22) + (-2690)\/330 + 8.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -826, -1483, -2126, -2749, -3346, -3911, -4438?\nAnswer: -4921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 217000. Let p be c(0). Round p to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -105 + 115. Let n = l - 10.1. Let p = 0.07 - 0.37. Which is the nearest to 1\/3? (a) n (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) 58 (c) 0.5 (d) 3 (e) 0.4 (f) -2\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.16694 and 330.\nAnswer: 3355.0902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 9:55 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 97, 179, 261, 343, 425, 507?\n\"Answer: 82*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-16)*1*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.2645 * -19.\nAnswer: 43.0255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 321055 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbj when three letters picked without replacement from {j: 3, b: 2, f: 4, c: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 719\/4 greater than 181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from wqqwqwqq?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/198 and -5\/44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -6*a + 5*a. Let h = 647\/8 + a. Are h and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + x**2 - 3)*((-2 + 3 - 4)*(x + 2*x - x) - x - x + 0*x) in the form r*x**3 + h*x**2 + n*x + i and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 426, -3, -0.5, -1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*x - 60 = -264 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/5 - 123892*j**2\/5 + 371694*j\/5.\nAnswer: -2*j*(j - 3)*(j + 61949)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59232061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 191, 17, -3\/2, 210?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20492327577 + 11.13?\nAnswer: -20492327565.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2438 or 32\/51?\nAnswer: 2438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -614, -4675, -15708, -37199, -72634, -125499, -199280?\n\"Answer: -581*r**3 + 6*r - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7767821 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2*h - 3*v + 12, -v = 5*h + 76. Let x be (2 - -1)*20\/h. Let l = 306 + -307. Sort x, l, -3 in increasing order.\nAnswer: x, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29*f + 10*f - 30*f)*(10 + 8 - 3) - 4*f + 2*f + 3*f + 32*f - 32*f + 28*f to the form q + g*f and give g.\nAnswer: -706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36 and -52.27.\nAnswer: -1881.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 95482531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4199?\nAnswer: 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1958\/9 - -218. Let n = -2248\/1677 - -4\/559. Which is the fourth smallest value? (a) n (b) 0.3 (c) k (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152393 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 2:45 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -179 - -185. Let h be 6 + (-18)\/q - (-2 + 1). Solve d = h*d + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10454, 20919, 31384, 41849?\n\"Answer: 10465*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 0 + 0*u**2 + 2*u + 1\/6*u**4 + 0*u**3. Let m(l) be the second derivative of -l**3\/3 + l. Give m(b(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 430736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4085 + -4121.26. Let f = y + 36. Let t = f - -0.56. What is the fourth biggest value in t, 0.14, 2\/11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2366493622?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 17, 0.8, -0.1, -3\/8?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 417779326523 plus 0.5?\nAnswer: 417779326523.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 185, 352, 513, 668, 817?\n\"Answer: -3*h**2 + 176*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u**2 - 6*u**2 - 2*u**3 - u + 2 to the form o + c*u**2 + w*u**3 + a*u and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 0.5, -2\/13, 2\/13, 25 in descending order.\nAnswer: 25, 17, 0.5, 2\/13, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -111*i**3 - 6*i**2 - 10*i. Let x(p) = 56*p**3 + 3*p**2 + 6*p. Let j(d) = -3*s(d) - 5*x(d). What is the third derivative of j(k) wrt k?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*h + 4, h - p + 1 = -0*h. Solve -3*q = -h*q + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 22*g**2 + 23*g + 11. Let p be n(-23). Suppose -p = -2*u - 7. Suppose -o + 77 = -2*y - u*y, 3*o = -5*y + 299. List the prime factors of o.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(5\/7)\/(p**(-6\/11)\/p))\/(p**(2\/7)*p**0\/p) assuming p is positive.\nAnswer: p**(229\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-18)*(-21)\/(-6).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 189685483822 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 568175142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2198\/6603 + -1\/2201. What is the closest to 3 in -4, s, -596?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.07 - 15.07. Sort 4, f, 3, -4, -0.27 in decreasing order.\nAnswer: 4, 3, -0.27, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.24 - -6.04. Let p = h + -2.2. Round p to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92 - -92.37. Let h = 17.93 + -18. Let z = w + h. Which is the third biggest value? (a) 4 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**44\/(y\/y**(-28))*(y**(1\/9)\/y)\/(y*y**(-2\/13)) assuming y is positive.\nAnswer: y**(1552\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111111000010001 (base 2) to base 12.\nAnswer: 48729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 1 + 1)*(2*r**3 + 3*r**3 - 7*r**3) - 19*r**3 - 8*r**4 - 119 + 288 - 173 + 2*r**4 + 0*r**4 - r**4.\nAnswer: -9*r**4 - 19*r**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-3 + sqrt(1008) + sqrt(1008) + 2 + sqrt(1008) + -1 + sqrt(1008) + 2 + (sqrt(1008) - (0 + sqrt(1008))))*5)**2.\nAnswer: 403204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**1)**(2\/9)\/(t**(-1\/3)\/t)**(7\/3))**0)**(-7\/5) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/(-42) - (-272)\/14. Solve y + 21 = -4*w - 0*w, y = 4*w + u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + k + 2*k - 36 = 0, -4*k + 56 = 5*a. Suppose -a*z + 25 - 1 = 0. Let -6*s**3 + z*s + 3*s**3 + 0*s + 0*s = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2728 and 52514?\nAnswer: 210056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1953 is divided by 114.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61.7 - -2.7. Let u = b + 86. Let m = -25.95 + u. Round m to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5286 (base 9) in base 11?\nAnswer: -2a12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 4893*r**2 - 518*r**2 + 1150*r**2.\nAnswer: 5525*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2562*h + 2 - 5*h**2 - 70*h**3 - 2*h**2 - 2565*h as v*h + y*h**2 + f + w*h**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 73 and 6.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172218 is divided by 2730.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 43067a?\nAnswer: 430683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmmtxttrtgtxxtgm. What is prob of picking 3 m and 1 t?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1054.\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 4:00 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uutatuttnatajtac. Give prob of picking 1 a and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(-2)*6\/(-3). Suppose 19*j = 15*j + 44. Let t = o + j. Solve -z + a = 0, -2*a - 18 = t*z - 0*a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-2)*(20\/325)\/(-2)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 35118.224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -5. Suppose -i + 16 = 3*h, -h + i + 0*i = 0. Let c = 4546 - 4545. Sort g, h, c in decreasing order.\nAnswer: h, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-9)*(-47*142\/156839)\/((-1)\/(-3))?\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1566)\/232)\/(0 - (-3)\/(-4)). Solve -5*v + 3*r = -b - 8, v = 4*r + 17 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5174 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: Is 997840 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand c + c + 0*c + 0*c - 4*c + c + (-133 + 3 + 576)*(-c + c - c).\nAnswer: -447*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 299*u**5 - 17*u**2 - 144*u + 18. Let a(r) = 224*r**5 - 13*r**2 - 108*r + 14. Let v(l) = -9*a(l) + 7*k(l). Find the second derivative of v(h) wrt h.\nAnswer: 1540*h**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*c - 14, -2*d - 2 = 2*c - 3*c. Let t(j) be the first derivative of -j**2 - 2*j - 6. What is t(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -387 in 6\/17, 6, -3\/4, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6*w**3. Let m be x(1). Let p(t) = 5*t + 2. Let o(a) = a. Determine m*o(f) + p(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*s**2 - 115*s**2 + 226*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6 = 3*b - 2*b, 0 = 5*z + 15. Suppose 3*d - b = -d. Suppose -d = 5*o - 13. Solve 6 = -o*s + 4*s - 4*j, 3*j + 4 = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -99\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4 + 2 = 0. Let a be -2 - (7 + -6)\/(g\/(-18)). Suppose -17 + 3 = -a*m. Solve -3 = v - m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -7 + 2 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(7) + -6*sqrt(14)\/sqrt(2)).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -58*h**3 + 1512*h**2 - 9906*h + 676 = 0.\nAnswer: 2\/29, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 - 30 = -7*d. Suppose -3 = -14*w + d*w. Find the second derivative of 33*s**w - 33*s**3 - 2*s**4 + 2*s wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -14639*n**2. Let g(y) = 3*y. Calculate g(j(m)).\nAnswer: -43917*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2086 and -0.3?\nAnswer: 2085.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4\/5 + 45008*h**3\/5 - 9004*h**2 - 225056*h\/5 - 27006 = 0. Calculate h.\nAnswer: -22505, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + b - 44, -9 = -5*w + 3*b + 39. Is w not equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 245, 236, 227?\n\"Answer: -9*a + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 24052*u**2 + 2*u - 12035*u**2 - 12026*u**2 + 107 + 3*u**3 as a*u**2 + f*u**3 + t*u + s and give s.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 10*h**2 - 7*h + 15. Let u be (-6)\/(-5)*(-320)\/(-48). List the prime factors of f(u).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d*d**6\/d)\/d)\/d**(-4))\/(d**9*d\/(d\/(d**(-5)\/d))))**(-31))**16 assuming d is positive.\nAnswer: d**(-2976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 1 = -7. Suppose 3*h - 89 = -o - 2*h, 4*h = w*o - 164. Suppose 4*j = o + 20. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.079 + 0.021. Let y = -0.05 + 0.1. Is k at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 5.7, -2\/5, -0.3 in descending order.\nAnswer: 5.7, -0.3, -2\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.016963177 - 0.01696. Round l to seven decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76800 and 672?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/61 and 13\/4.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*b - 24 = 0, 2*b + 3*b + 5 = -5*m. Let g = 8 + -1. Solve x - g = -m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -75922370.\nAnswer: -75922370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37224 divided by 6.\nAnswer: 6204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**3 + 424990047*g**2 + 849980103*g + 424990053 = 0. What is g?\nAnswer: -1, 141663351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**7\/1050 - t**6\/90 - t**5\/25 - 56*t**3\/3 + 22. Let c(u) be the third derivative of k(u). Let c(z) = 0. Calculate z.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 - (35 - (98 + -45)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -4.5. Let d = 0.8 - 5.8. What is the nearest to 1\/3 in d, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*v = -35, 3*m - 3*v + 4*v = 20. Suppose -m*q + 233 - 93 = 0. Suppose 4*k - q = 4. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -10, 3, 12, -5 in increasing order.\nAnswer: -10, -5, 3, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 23*t**2 + 8*t - 4 - 22*t**2 - 3*t. Let j be u(-6). Factor 3\/4*n**3 + 0 - 1\/4*n**j + 0*n - 3\/4*n**4 + 1\/4*n**5.\nAnswer: n**2*(n - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*f**4*y + 27*f**3*y**3 + 6*f**3*y + 2*f**2*y - 25206*y**3 wrt f?\nAnswer: 120*f*y + 162*y**3 + 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 12*s + 6. Let w be o(-12). Let n(v) = -v**3 + 7*v**2 - 6*v + 6. Is 4 a factor of n(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -5*j**4\/24 - 4*j**2. Let u(f) = 2*f. Calculate u(l(n)).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/165 - 52\/495. Calculate the common denominator of d and (-3)\/(-5)*45\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 60871*k + 53 = 60866*k, p = 14*k + 141 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/4)\/(-22 - (-2896)\/128)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8085683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a + -8b463?\nAnswer: -8b47d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1223 - 1207. Solve p - 12 = 2*o - 3*p, 3*p - h = -2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 9*k**4 - 1942*k**3 - 2403*k**2 + 3468*k + 868 = 0.\nAnswer: -2, -2\/9, 1, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.194 - -0.244. Which is the nearest to 0? (a) 1\/92 (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 2:34 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 x, and 1 v when four letters picked without replacement from {t: 1, x: 2, v: 7, z: 9}?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-21)\/(-7))\/(2\/126). Let j be q\/(-39) + (-6)\/39. Calculate the common denominator of 4 + -3 - 49\/j and 99\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -13320 (b) 0.1 (c) 2\/7 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -104, -109, -126, -161, -220?\n\"Answer: -l**3 + 2*l - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 442 - 2411142?\nAnswer: -2410200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -73*n - 3. Let x(t) = 36*t + 1. Let v(k) = 3*w(k) + 5*x(k). Is v(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 - 0.1. Let x = -0.01 + 0.11. Let t = 37 - 36.8. Which is the closest to 0? (a) m (b) x (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 14 = -q, 3*o = 6*q - q - 26. Solve q*z = -z - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (247 - 128 - 199)*(3 - 5 + 1)*(5*z + 0*z + 4*z).\nAnswer: 720*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/25)\/(k*k**(2\/3)\/k))\/(k**(-1))**11 assuming k is positive.\nAnswer: k**(769\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -19*d + 966. Give n(50).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1418 - 1417.6. Let n be 0 + 0 + 1\/2. What is the second biggest value in s, -4, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**4\/4 - 4*j**3\/3 + 3*j**2\/2 - 62. Calculate v(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -304 + 141. Let j = w - 37. Let m = j + 283. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 18651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q. Let r(n) = 750*n - 44. Give s(r(z)).\nAnswer: -1500*z + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 14 + 65 = -7*h + o, 71*h - 3*o = 70*h - 8 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27221961 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0680185 rounded to 3 dps?\nAnswer: 3.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -1254444141?\nAnswer: 1254444133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*a + 24*a + 22*a)*(a**4 + a**3 - a**3).\nAnswer: 34*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 712381997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 418699037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 505391*j**2 - 14*j - 17284 wrt j.\nAnswer: 1010782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 4)*-1 - (-6 - 1). Solve -v + k*p + 3 = 2*p, 0 = 4*p - 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*x = 3*x - 10, -s + 5*x + 13 = 0. Let o = s + 3. Let b be ((-8)\/(-10))\/(o\/45). Calculate the highest common factor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 11*k - 9. Suppose -32 = -2*l + c - 5*c, -l + 2 = -5*c. Suppose 0 = 3*h + 6 + l. Is j(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/6 - 3 - 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 divided by -6?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 754 is divided by 336?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 2*z**2 - 2*z + 3. Let i be c(2). Let t be (180\/(-54))\/(2\/(-9)). What is the greatest common factor of t and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 5*c**2 - 7*c + 8. Let r(j) = 2*j**2 - 5*j + 3. Let p be r(3). Let v be q(p). Solve -t - v = 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eewswpappppppw. Give prob of sequence psa.\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -74.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-4) + (-61)\/(-4). Suppose 3*y + c = -3*z, 0 - 15 = 3*y + 2*z. Let h = 6 + y. Solve t + h + 2 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.3 - -0.3. Let k = v - -19. Which is the second smallest value? (a) -0.3 (b) -2\/9 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 7 + 5 = -5*z, 9 = -3*z. Let t = -8 + 10. Suppose -b + t = j. Solve 0 = 4*l - 5*k + 18 - 5, -5*k = 3*l + b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*z + 997 = 8*z + 313 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7675 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + 5 = -3*g, 1064*g - a - 5 = 1063*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101608 = 6*k - 54566. Does 19 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3945370 divided by -1958.\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 - 140*t**2 - 290*t + 145. What is the least common multiple of v(72) and 3757?\nAnswer: 3757","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 + 3*f + 2. Let c be x(4). Let m = c + -34. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/21)\/(8\/(-14))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**2 + 1079184*o - 1079180 = 0.\nAnswer: 1, 269795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1378 and 13780.\nAnswer: 13780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/44)\/(-25*9\/90).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 3234?\nAnswer: -3238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**4 + 67005*c**3 - 67008*c**2 = 0.\nAnswer: -22336, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 12:04 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 15, -0.5, -3, -3\/8 in decreasing order.\nAnswer: 15, 1\/3, -3\/8, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3) - 4\/12. Let c(t) = -t**3 + t**2 - t - 5. Let h be c(j). Let q = 25847 - 25850. Put q, 1, h, 3 in increasing order.\nAnswer: h, q, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.192 - -119.192. Let h = 118.92706524 - -0.07283276. Let u = w - h. What is u rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r - 1007168*t + 1007163*t = -940, -5*r - 2*t - 254 = 0 for r.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1243489525 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/56 and 85\/28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-8))**(-1\/38) assuming y is positive.\nAnswer: y**(4\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -15445*-178\nAnswer: 2749210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) 2572.8 (b) -3 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16071802 is divided by 756?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**3\/5 - 3816*a**2\/5 - 53718*a\/5 - 188356\/5 = 0.\nAnswer: -7, 1922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109.47 + 110. Let k = o - -0.47. Let v = 7.64 - -0.36. Which is the nearest to 0? (a) k (b) v (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3286517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + 1 + 430\/(-20))*(-2)\/(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-144)\/(-12))\/(-12))\/(3\/(-24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 772420 and 3080.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1799076114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = t + 24, 16*t - 15*t + 4 = 0. Let q be 9 + -3 + -6 + d. Factor 4\/9*v**3 + 4\/9*v**2 - 2\/3*v + 2\/9 + 2\/9*v**5 - 2\/3*v**q.\nAnswer: 2*(v - 1)**4*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*z + 4*w = -38*z + 2152, -w = z - 2161. Calculate the least common multiple of z and 5951.\nAnswer: 23804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q**3 - 12*q**2 - 2*q - 10. Let v(r) = 5*r**3 + 11*r**2 + 3*r + 10. Let x(k) = -4*h(k) - 5*v(k). Let g be 3\/3 + 8\/(-1). Does 17 divide x(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = c - 4*c - 5*a, -82 = -c + 5*a. Let j = c - 43. Suppose p - 5*y = 173, y + 232 = p + j. List the prime factors of p.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 2*q**2 - 5*q - 7. Let h be l(3). Calculate the highest common divisor of 23 and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 308\/22 - (-24 - 5).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y + 29*y - 25 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -1.691?\nAnswer: -1.0146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a millennium in decades?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**5 + 115*b**4 - 80*b**3 - 14*b - 4131?\nAnswer: -20*b**3 + 1380*b**2 - 480*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*m - 0*m. Suppose 2*o + 5 = m*g + 22, 3*o - 3*g - 27 = 0. Suppose -5*p - 4*a = -7*p + o, -a + 11 = 4*p. Put 4, 5, p in decreasing order.\nAnswer: 5, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 23314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 292 divided by -2\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1574*j**2 - j + 3150*j**2 + 9 - 1550*j**2.\nAnswer: 26*j**2 - j + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 6 + p**2 + 10 + 4 as x*p + j*p**2 + s and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 290 = 4*q + 66, 3*h - 2*q - 346 = 0. Let c = h + -110. What is the nearest to -2 in -5, c, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -5*g + 5, 4*g + 4*s = 3*g - 22 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1293 + 372 + 401 - 3*u**2 + 520.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aia when three letters picked without replacement from iiiiiaaiaiiiiiiiii?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-4 - -1) - (88 - 94).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 - 3*f**4 + 3*f**4)*(-10 + 20*f + 5 + 6).\nAnswer: -20*f**5 - f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -991392619\/1931350 - -185882\/361. Let s = -57\/107 + o. Calculate the common denominator of -17\/4 and s.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, 34, -10 in ascending order.\nAnswer: -10, 34, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -372.53448 rounded to the nearest 10?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.18, -40, -0.02, 4, 1\/5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63 + 10*t**2 + 123 - 30 wrt t?\nAnswer: 20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(399) + sqrt(399) + sqrt(399)*-2)\/sqrt(7))\/sqrt(3) + -4*(sqrt(684) + -2*sqrt(684) + sqrt(684)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) -0.05 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -53737*y - 322375. What is v(-6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, 0, 4, -0.9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b. Suppose 3*j - 15 = j - 5*r, -3*r + 18 = 3*j. Suppose -j*k + 1 = 6. What is the units digit of a(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16104 + 23*y + 16105 + 23*y.\nAnswer: 46*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.1, 395, -16\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 504887435 smaller than 504887435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(176) + sqrt(176) - sqrt(176))*3 + sqrt(176) + -5 - (sqrt(176) + sqrt(176) + -2 + -2)*-5)**2.\nAnswer: -1000*sqrt(11) + 5025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68731 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138\/(-12)*(-4 - -3 - 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -14*x**2 - 29*x - 7. Let u(b) = 5*b**2 + 10*b + 2. Let j(r) = -7*u(r) - 2*w(r). What is the second derivative of j(z) wrt z?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((0\/(-2))\/1)\/(-1). Suppose 2*i = 4*f + 10, -f = i + 4*i - 36. Suppose m = i*w - 9*w + 382. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41524254?\nAnswer: 2, 3, 1249, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21948 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*k**5 + 252*k - 250*k - 2*k**5 + k**5 - 3*k**5 + k**5 + (-4*k**3 + 4*k**3 + 2*k**3)*(4*k**2 - 6*k**2 + 0*k**2) - 2*k**5 - 3*k**4 + 3*k**4.\nAnswer: 8*k**5 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 - f**3 + 0*f**3)*(115 - 44 - 10).\nAnswer: -122*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a year?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 42 = 96. Let b = m - -25. Solve t - 1 = 2*l + b, 0 = 4*l + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/885954 and 101\/29730.\nAnswer: 4429770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 5. Let f be u*((-32)\/6 - 3). Suppose 0 = -m + f - 9. Calculate the remainder when 47 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 8*d - 22. Let x(a) = 23*a - 68. Determine 17*q(m) - 6*x(m).\nAnswer: -2*m + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192 and 352?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -872*q**2 - 880*q**2 + 1702*q**2.\nAnswer: -50*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = h + 4*z - 94, -3*h - 4*z = -514. What is the smallest common multiple of h and 22?\nAnswer: 1958","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/5 - 4506*v**2\/5 - 2133504*v\/5 - 324698112\/5.\nAnswer: -3*(v + 384)**2*(v + 734)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8689 - 95571\/11. Find w, given that 8\/11*w + 0 - 6\/11*w**5 - 14\/11*w**3 + v*w**2 - 20\/11*w**4 = 0.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1365 by -134785.\nAnswer: -39\/3851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/17136 and 47\/105.\nAnswer: 85680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29, -57, -77, -83, -69, -29?\n\"Answer: h**3 - 2*h**2 - 29*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 581.986kg to tonnes.\nAnswer: 0.581986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 12*a**4 + 3*a**2 + 9*a - 5. What is the first derivative of j(d) wrt d?\nAnswer: 288*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 8*r - 304578 - 240532. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1320)\/15*-34*(-11)\/2057.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 1860371262.\nAnswer: 1860371262.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41672544?\nAnswer: 2, 3, 503, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-1 - (-3 + 1)) + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6 - 10 = 0. Let n be 32\/(-12)*9\/q. Let z(o) = -o**3 - 5*o**2 + 5*o - 13. Let a be z(n). Which is bigger: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -221\/4 - -55. Which is the nearest to u? (a) -3\/7 (b) 0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 - -45. Sort -4, -1\/7, p, 5 in decreasing order.\nAnswer: 5, -1\/7, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (-3)\/6*2. Let m be k + 1 + 1 + -1. Let t be (m + 1)\/(5 + -4). Solve 0 = -4*g + 3 + t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**2 + 15*u**3 - 5 - 5 + 3464*u - 3479*u + 5*u**4 = 0 for u.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -104*d + 2090. Calculate the lowest common multiple of 3812 and f(20).\nAnswer: 19060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37383 by 51.\nAnswer: -733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of v**2\/2 - v + 2. Let s be q(4). Suppose 5*t - s*t = 8. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 2*a + 2. Let w be h(3). Suppose 5*o - 8 = -33. Let b be ((-1)\/w)\/(1\/o). Solve 4*q - b = 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 245 (base 16) to base 13\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 3*p**2\/2 + 2*p - 57. Determine i(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-1 - -1) + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.84? (a) -1\/19 (b) -15 (c) -1\/4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 7*c - 6. Let q be f(8). Suppose -2*a = -3*y + 10, 4*y - a - 6 = -q*a. Let 3\/2*u**3 - 3\/2*u + 3\/2 - 3\/2*u**y = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-88) + 3\/198?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/9368 and 35\/8.\nAnswer: 9368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 5*k**2 - k - 8. Let j be b(4). Suppose -x = -3*x - j. Let d = x + 19. Calculate the remainder when d is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 160583875?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1588.999994816 + 1589. What is q rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*h**6 - 2*h**4 - 21*h**3 - 1943*h**2 wrt h?\nAnswer: 1800*h**3 - 48*h - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(21\/(-189))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 169.5 + -169. Let p be (28\/(-70))\/((-8)\/(-10)). Which is the third biggest value? (a) p (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 87.54992t?\nAnswer: 87549920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-211)\/(-15)) + 320\/32 + 6.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 1:32 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/32923 and -11\/353174?\nAnswer: 3884914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w + 7. Let j be t(-5). Let s = 3 + -5. Let q be s\/7 + (-1000)\/(-70). What is the highest common factor of q and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 3:38 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*10\/8*(-2672)\/2338.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1475817433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -552 by -1.\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzezzzzzzez. Give prob of sequence zeze.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - (2 + -2 + sqrt(7)) - sqrt(28)\/sqrt(144).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjbbjejbjjb. What is prob of picking 2 b and 1 e?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66771.7712 + -66726. Let l = f - -0.0288. Let h = l - 46. What is the second biggest value in -2, h, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -422 + 422. Let m*q**2 + 1\/4*q**3 + 0 - 1\/4*q = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 6. Let c be (x - 3) + (-4)\/2. Sort -4, c, 3 in decreasing order.\nAnswer: 3, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 7*h**3 + 6*h**3 + 4*h**2 - h - 2*h**2 - 2. Let a be v(-1). Is a <= -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528345814?\nAnswer: 2, 743, 355549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 820*v - 4034 + 1362 - 1428 = 0. Let l = 5.8 - 6. Sort -3, -2, l, v in ascending order.\nAnswer: -3, -2, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640279661?\nAnswer: 7, 29, 131, 24077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -864 divided by -36\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from {u: 3, p: 2, a: 1, z: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9178*a = 9347*a - 2704 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -124516 or -124515?\nAnswer: -124515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -5 (b) -4 (c) -2\/11 (d) 4 (e) 2\/5 (f) -12 (g) 14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*n + 28*n - 17*n - 19*n.\nAnswer: -29*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.1 + -4.9. Which is the third biggest value? (a) 0.2 (b) n (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -47 + (3 + -7 - (2 + -3)). Let h = -47 - p. Let t(x) = -x + 6. Calculate the remainder when h is divided by t(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 3049 + -15242\/5. Let a = 0.02 + 2.98. What is the smallest value in q, a, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**3\/3 - 19*b**2\/2 - b - 7. Give i(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**3\/6 - 868*j + 3. Let z(h) = -2*h - 29. Determine -3*x(f) + z(f).\nAnswer: f - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13697, -27372, -41047, -54722, -68397, -82072?\nAnswer: -95747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10103 + 1?\nAnswer: -10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 21*h**2 - 2*h - 41. Determine r(-21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18074 + 18139. Solve a - 28 = -37*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7*p**3 - p**2 + p + 1. Let l be (-3)\/(-6) + (-6)\/4. What are the prime factors of t(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, l: 4, f: 4, m: 2, s: 1, y: 1}. What is prob of picking 2 l and 1 y?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1080276, -1080352, -1080428, -1080504, -1080580?\n\"Answer: -76*w - 1080200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 7 = 8. Suppose a = 5*l, 2*l = -3*m + 5*m. Let q(c) = -4*c. Let x(g) = -g. Calculate m*q(s) - 3*x(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072246169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10035 * 0.1\nAnswer: 1003.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 124 + -198. Let s = 73.854 + n. Let i = s - -0.052. Round i to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2\/9 (b) -1434 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138285 and 6528369.\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 u when three letters picked without replacement from ccuuumcummc.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 - -65. Suppose -363 = -3*q - 0*q. Suppose -p + g = -q. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3480*k**5 + 1008*k**3 + k**2 - 158555*k - 176?\nAnswer: 69600*k**3 + 6048*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*s - 44*s - 50*s + 1 as f + l*s and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n = 32 + 43. What is the greatest common divisor of n and 1135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 318151555?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**3\/4 - 55*w**2\/4 - 5*w\/4 + 55\/4 = 0.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -200311324210 - 1?\nAnswer: -200311324211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**6\/90 + g**4\/24 + g**3\/2 + 2*g**2. Let o(x) be the first derivative of j(x). What is the units digit of o(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 - -112. Suppose -h + x = 5*k - 50, -5*k - 385 = -5*h. Is h a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (98\/147)\/((-8)\/(-12)). What is the nearest to k in -0.178, 6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 74*v + 2*v**3 - 85*v + 4 - 64*v to the form b + g*v**2 + f*v + d*v**3 and give f.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 36.4\nAnswer: -18.2","meta":{"dup_signals":{},"source":"arithmetic__mul_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: What is next in -4642, -18308, -41000, -72724, -113486, -163292, -222148?\nAnswer: -290060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 1:04 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2760 divided by 1380\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/13 - 46*h**3\/13 - 100*h**2\/13.\nAnswer: 2*h**2*(h - 25)*(h + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -20*p + 96. What is the hundreds digit of (1882 + 3)\/5 + p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1183108*g**3*s + 57*g**3 - 17388*g*s - 145*s wrt g.\nAnswer: 7098648*g*s + 342*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - -4. Let a be 31\/o + (-6)\/(-33). Suppose a*m + 12 = 3*j, -3*j = -0*j + 4*m - 5. Sort j, -3, 0 in increasing order.\nAnswer: -3, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 20, -25 = -2*n - 0*y - 5*y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6493, 12937, 19381, 25825, 32269, 38713?\n\"Answer: 6444*z + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0 - 2) + 3 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2171731, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 + 6. Let u(b) = 6*b**3 + 17. Let g = 14 + -20. Calculate g*u(y) + 17*q(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/4)\/(3\/12). Let p(u) = -u**2 - 12*u + 7. Let g(i) = 2*i**2 + 13*i - 8. Let l(t) = a*p(t) - 2*g(t). What is the units digit of l(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/179347090 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(117) + 2))**2*-6*-6.\nAnswer: 288*sqrt(13) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*n + 112 = 48*n. Calculate the highest common divisor of 896 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -43723, 6 in decreasing order.\nAnswer: 6, -12, -43723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 33?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32991 is divided by 4713?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 = -6*b - 42. Calculate the remainder when 349 is divided by b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*h = h + 53, -25 = 5*h. Let r = 6 + y. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6000 divided by -4.\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20954848237 less than 1.6?\nAnswer: 1.39045151763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 12:20 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3*2\/5)\/((-72)\/180)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 - 3*(-4106)\/3. Suppose -2*b + 3*v + 1648 = v, 5*b = v + w. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 58*c + c**3 + 1 + 68*c to the form o*c**2 + m + a*c**3 + i*c and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*r + 709 = 18*r - 1 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 5:21 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 0 + 1\/280*z**7 + 1\/160*z**6 - 11*z + 1\/4*z**4 + 3*z**2 + 0*z**3 - 1\/8*z**5. Factor q(k).\nAnswer: 3*k*(k - 2)*(k - 1)*(k + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 590880 - 1589880. What is v rounded to the nearest ten thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20203*y = 118895 + 1234706 for y.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/162*4\/(-2))\/5.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 359, 1451, 3287, 5879, 9239, 13379, 18311, 24047?\nAnswer: 30599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25606393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0591 and 103501.056.\nAnswer: 103500.9969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192, -379, -552, -705, -832, -927, -984, -997?\nAnswer: -960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023858684 rounded to 5 dps?\nAnswer: 0.02386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 76964 to the power of 1\/2, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1332 and 1628?\nAnswer: 14652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4348 divided by 1087\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -175*o**5 + 5519*o**4 - 28147776*o wrt o.\nAnswer: -3500*o**3 + 66228*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43525552.\nAnswer: 2, 7, 388621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2 - (5 + 0 + -13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7.274158 days?\nAnswer: 628487251200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 20 - ((21 - 3) + -2).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.12, -2\/19, 1.8?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*h**2 + 3*h**2 - 4*h**2)*(-h**3 - 2 + 2) + (2*h - 2*h - 2*h)*(4*h**3 - h**4 - 4*h**3).\nAnswer: -5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 = 5*n - 188. Let v(y) be the second derivative of -y**4\/12 - 11*y**3\/6 - 5*y**2 - y. Is v(n) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1308\/648 - 2\/1. Let z = -35\/54 - p. What is the closest to -1\/4 in 1, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 1) + -8 - 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 257, 358, 431, 470, 469?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96\/7 - -94\/7. Let d = 18.772 + -22.772. Which is the closest to r? (a) -18 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-19)*u**(-22)\/u*u*(u*u**(4\/9)*u)\/u*u*((u**13\/u)\/u*u)\/u*u assuming u is positive.\nAnswer: u**(-239\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*f - 4. Find the common denominator of -41\/10 and f\/40*-254 - 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 243?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*t + 30 + 37*t - 4)*(2*t**2 + 2*t - 2*t).\nAnswer: 4*t**3 + 52*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*g**6 + 9*g**4 + 48*g**3 + 1014*g**2 + 4 wrt g?\nAnswer: -2040*g**3 + 216*g + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228627 and 8253.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 606107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 10) in base 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 276.193 to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -639077*n - 3846. Let b(x) = -665*x - 4. Determine 3846*b(d) - 4*h(d).\nAnswer: -1282*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + -1 + -9 - (164 - (-87 + 233)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 25, 24, 21, 16, 9, 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 153379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3 = 3*c - 11, -2*c + 2*w = -4. Let f(h) be the first derivative of 2\/3*h**3 + c*h**2 + 1 + 2*h. Find the first derivative of f(i) wrt i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11327061?\nAnswer: 3, 521, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 7, a: 1, u: 2, e: 2, x: 2}. What is prob of picking 1 e and 1 y?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1536 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: List the prime factors of 1397095.\nAnswer: 5, 7, 179, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 9 + 9)*(182*v + 184*v - 5*v + 3 + 2*v - 3 + (-1 + 5 - 3)*(-3*v - 2*v + 6*v)).\nAnswer: 1092*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from {q: 17, p: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 7*q + 10. Let m be d(-6). Suppose 4*y + 0*y = m. Which is smaller: 15 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0053 + 1611.\nAnswer: 1611.0053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jkjklck. What is prob of sequence cjkj?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19357\/18 - 1076. Let s = l - -10\/9. Is s bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.9 times 0.032\nAnswer: -0.1248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from rrrdrrprpccrppr.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.8 minus -2.78?\nAnswer: 74.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -273*(-105)\/11970*-38?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in -1\/2, 0.1, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3941002.\nAnswer: 2, 13, 41, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245 = 35*f - 210 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*z, b - 6*z + 7*z = 8. Suppose 0 + 15 = 3*s. Suppose -5*x + s*f - 15 = 2*f, b*x + 20 = 4*f. Solve i + u = -9, x*u = -3*i + 3*u + 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48*4.5.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 2 = 6*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, -1, -33, -91, -181, -309?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186869, -186873, -186875, -186875?\nAnswer: -186873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1176 and 1764.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 44519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -w**6\/720 + 19*w**5\/720 - w**4\/24 + w**3\/3 + 13. Let u(t) be the third derivative of r(t). Factor u(a).\nAnswer: -(a - 6)*(3*a - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 - 2*o**2 + 4*o**2 - 2*o**2.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/341430 and 127\/13588914?\nAnswer: 67944570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 4 - (-2)\/(-1). Let q(t) = 7*t - 22. Let a be q(s). Let n(d) = 2*d**2 - a*d**2 + d**2 + 5*d**2. Let x(h) = 16*h. Determine x(n(o)).\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*g**2 + 63*g**2 - 117*g**2 + 27*g**2 - 377*g + 377*g + (-3*g + g + 0*g)*(-2*g + 2*g - 2*g) + 2*g**2 - g + g as b + y*g + d*g**2 and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5\/4 + 19*a**4\/4 + 51*a**3\/2 + 9*a**2 - 162*a.\nAnswer: a*(a - 2)*(a + 6)**2*(a + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 10 (c) -51337\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 23*z - 24. Let w be h(16). Let c = 98 - w. Calculate the remainder when (-310)\/(-8) - 2\/(-8) is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdz when three letters picked without replacement from zzdihigiddih?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -27. Let z = n + -7. Let f(m) = m**3 + 6*m**2 - 1. Let d be f(-6). Put z, -3, d in ascending order.\nAnswer: -3, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18603059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2293, 4358, 6423, 8488, 10553?\n\"Answer: 2065*q + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 18909?\nAnswer: -3781.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 98*s - 60. Let z(c) = 39*c - 25. Let d(k) = 5*u(k) - 12*z(k). Let b(m) = -22*m. What is b(d(w))?\nAnswer: -484*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 3*r - 84. Let w = 141 - r. Suppose 0 = 3*k - d - 35, -2*d = 2*k - 0*d - 10. Calculate the greatest common factor of k and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -2, 3, -663, -1 in increasing order.\nAnswer: -663, -4, -2, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -52383173*b**2. Let x(j) = 5*j**2. What is x(t(h))?\nAnswer: 13719984067739645*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*l**2 - 62*l**2 + 79*l**2.\nAnswer: 422*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-63) - (-331490)\/72. Let m = 4580 - t. Calculate the common denominator of m and (-2 - -1)*(-332)\/56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14817222?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*n + 42*n**2 + 57*n**2 + 285*n**3 - 99*n**2 - 17*n**3 + 4 wrt n?\nAnswer: 1608*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 2*a. Let z be -7 + (-342)\/(-42) - 1\/7. Let c be ((-39)\/(-65))\/(z\/5). Solve -3*q = -a - c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 220825312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/(-1 + 5) + 2 + 8. Suppose -k*c + c + 2338 = 0. List the prime factors of c.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*n**3 + 15*n - 24*n**2 + 40*n**3 + 38*n**3 + 21*n.\nAnswer: 3*n*(n - 6)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/(-368))\/(15\/12)*60?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -628 divided by -2\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1738814522?\nAnswer: 2, 869407261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1395 is divided by ((-12)\/(-3))\/((18\/(-30))\/(-3)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1461*v**2 + 109*v**2 - 813*v**2 + (-v - v**2 + v)*(-5 + 2 + 1) as y*v + h*v**2 + i and give h.\nAnswer: -2163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -19. Suppose a*q = q + 129. Let b = q - 20. Calculate the remainder when 68 is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -174\/209 + -59357\/1254. Is -49 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -29.01 (b) 1\/3 (c) -0.1 (d) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 28060*a**2 + 3905085*a - 28712250.\nAnswer: 5*(a - 7)*(a + 150)*(a + 5469)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 - 3)\/(2\/10151). Let b = -5602 + y. Round b to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -34*n**2 + 5*n - 26. Let p be g(5). Let m = 851 + p. Suppose -1\/3*t**2 + 0 + m*t = 0. What is t?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/(t\/(((t**(-7)\/t)\/t)\/t)))*t**(-2)*t*(t*t**(-3))\/t*t**(-1) assuming t is positive.\nAnswer: t**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 7:39 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 263457, 526790, 790123?\nAnswer: 1053456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvyy when four letters picked without replacement from vvyyvvvyyyvvv.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332595948?\nAnswer: 2, 3, 599, 46271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -70, -100, -146, -208, -286?\nAnswer: -380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53 or 263\/5?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 4495\/116 + (-267)\/(-12)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/10*25\/(-3). Let h = o + -14. Let i be 3 + 1 + h + 0. Solve 0 = -3*q + 4*m + 4, i*q + 3*m = -1 - 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**8\/16 + 8*i**7\/35 - 11*i**6\/40 + i**5\/10 - 33*i**2\/2 + 6. Let c(z) be the second derivative of o(z). Factor c(k).\nAnswer: -3*k**2*(k - 1)**2*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1633 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2904)*3*6)\/(sqrt(80)\/(sqrt(70)\/(1*sqrt(7)))) + 1.\nAnswer: 1 + 198*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2 + 3*b - 2*b + 9 + 5. Let a be r(-7). Solve 0 = -5*j + 3*i - a, -4*j - 6*i = -3*i + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/5 + 23*y\/5 - 24\/5.\nAnswer: (y - 1)*(y + 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -21*q. Let v(h) = 11*h. Let y(o) = -3*f(o) - 5*v(o). Let x(t) = -t. What is x(y(k))?\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 229 = 244. Let g(t) = -6*t**3 + 2*t**2 + 7. Let c(r) = 5*r**3 - 2*r**2 - 6. Calculate z*g(f) + 4*c(f).\nAnswer: 2*f**3 - 2*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 10 + 75. Let p = -59 + g. Let t(w) = 5*w**2 - p*w**2 + 29*w - 29*w - 8. Determine t(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 2*i**2 + 5*i + 5. Let k be z(-4). Suppose -k = 5*n + 2*t, 2*n = 2*t - 0 - 4. Do n and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 282.7 - 2096.\nAnswer: -1813.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*h + 492 = 137*h. Let g = h - 39. Let t(k) = k**3 - k + 1. Let b(q) = q**3 - 2*q + 2. Calculate g*t(f) - b(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50142530 divided by -1555.\nAnswer: -32246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5*f = -29, 0 = 12*x - 11*x + f + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 597*u**3 - 1 - 460*u**3 - 5*u**2 + 4*u**2 as l*u**3 + k*u**2 + g*u + j and give l.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142 and 59778734.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 248 and 27404?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*l*m**2*n**3 + 6*l*m**2*n*t - 26*l*m*n**2*t + l*n**3*t + 4*l*n**2*t - m**2*n**2 - m**2*n*t - 191*n**3*t wrt n?\nAnswer: -18*l*m**2 + 6*l*t - 1146*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7067553489.\nAnswer: 3, 29, 27078749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -235ac (base 14) in base 15?\nAnswer: -1a816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 57 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.56106 rounded to two dps?\nAnswer: 131.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + -2 + 13 + -15 + 2 + -12?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50*h**3 + 739*h**2 - 23*h**3 + 205*h**5 + 765*h**5 - 27*h**3 wrt h.\nAnswer: 58200*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**24)**(-9\/4)\/(p**(-32)*p*(p*p**(-18)\/p)\/p))**(-21) assuming p is positive.\nAnswer: p**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-37)\/13 - 0) + 3. Let o = -49 + 737\/15. Let x = -97 + 295\/3. Which is the smallest value? (a) x (b) v (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208997.\nAnswer: 208997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.25891 hours in days?\nAnswer: 3.84412125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1155*v**4 + 166?\nAnswer: -4620*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((20\/(-15))\/(-2))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 h when four letters picked without replacement from {u: 14, h: 5}.\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 218 + -167 + 96 - 125?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -61 + 76 - 65 - (4 + 1)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -133709, -133718, -133727?\n\"Answer: -9*t - 133700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 + 24*m + 21. Let u be x(-7). Let z(y) be the third derivative of 0 + 1\/24*y**4 + 1\/6*y**3 + y**2 + u*y. What is z(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/45)\/((9\/15)\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -19*q + 200. What is l(12)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26150*w = 25674*w - 5712 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/23? (a) 71 (b) -5 (c) -2 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -258 - -775\/3. What is the smallest value in -0.3, -2\/15, -5, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101100001010 (base 2) to base 11.\nAnswer: -8307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5632587 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/((x**(-2\/3)\/x)\/x))*x*(x*x\/x**14)\/x)**(-2\/107)\/(x\/(x**(-14)*x)*x*x*x*x*x**5)**(-18) assuming x is positive.\nAnswer: x**(132976\/321)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-3*8\/12)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 318273*h + 1591383. Calculate k(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*((4 - 4 + 2)*(1 - 3 + 3) + 1 + 2 - 6 + 1 - 5 + 3)*(-4*h**2 + 5*h**2 + 3*h**2).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2312025*y - 1 + 4624606*y - 2312588*y.\nAnswer: -7*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l + 3*l - 3 - 6*l. Let k be d(-7). Suppose -k*q = -41 - 7. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4977 + -4980. Put c, -20, -0.68, -2 in increasing order.\nAnswer: -20, c, -2, -0.68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 92, 2, -1428, -1?\nAnswer: -1428","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5236 - 57026?\nAnswer: -64264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12559 minus -1918?\nAnswer: 1917.87441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + sqrt(17) + -2 + (sqrt(1700) - (-2 + sqrt(1700))) + (sqrt(136) - (sqrt(136) + 1*sqrt(136)*-2))\/((sqrt(8) - sqrt(72))*-6))**2.\nAnswer: -28*sqrt(17)\/3 + 1409\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.38 + 0.3799964. What is h rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*-0.0016\nAnswer: 0.00096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - -1200?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 28756*u**2 + 6*u - 3. Is g(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2230 + 5003. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.9, -69, 1121, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -11, -13, -13, -11, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -32*v**4 - 6*v**3 + 3*v**2 - 5. Let x(y) = 31*y**4 + 5*y**3 - y**2 + 4. Let a(r) = -2*j(r) - 3*x(r). Find the third derivative of a(t) wrt t.\nAnswer: -696*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -302, -531, -804, -1121, -1482, -1887, -2336?\n\"Answer: -22*s**2 - 163*s - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 7, w: 2, d: 8, j: 2, c: 1}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105410)\/1154430 + (-2)\/(-18)?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r\/r**(-2\/3)*r*r*r)*r\/r**(-4\/5) assuming r is positive.\nAnswer: r**(-43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s. Let a(p) = -3*p. Let x(j) = -j**2 - 11*j. Let o = 32 + -54. Let b(f) = o*a(f) + 6*x(f). What is m(b(l))?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 15. Let j be n(-15). Find s such that -2\/7 + 2\/7*s**2 + j*s = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 7*p**2 - 7*p + 3. What is r(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - t + 23, -40 = 5*b - 25*t + 20*t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/4)\/(-3) + 1. Let y = -1122 + 1122.2. Which is the second smallest value? (a) r (b) -2\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 94, 186, 324, 520, 786, 1134, 1576?\nAnswer: 2124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-7))\/(u\/(u\/u**6)*u*u))**(2\/21)\/((u**(-1\/4))**45*(u*u**0)**(-7\/4)) assuming u is positive.\nAnswer: u**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 2:06 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-1)*(-6 - -1839)\/(-13). Calculate the highest common divisor of i and 658.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98415\/(-810)*46\/207.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 23*b**2 - 23*b - 19. Let p be m(-22). Suppose 3*v = -2*l - 7, 0 = -5*l - 0*v - 3*v - 4. List the prime factors of l*(-31)\/p*-3.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eccojolccoo. What is prob of picking 1 c, 1 o, and 1 j?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -10. Suppose 3*u = -9, -5*u - 1072 = 4*h - 161. Let d be 32\/h*7\/6. Which is the nearest to 1\/2? (a) -0.9 (b) i (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from evvzezevzeeeeeev. What is prob of sequence zvzv?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 10 = -0*v. Let w be (20\/25)\/((-4)\/v). Sort 4, w, 2 in ascending order.\nAnswer: w, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.085 and 56?\nAnswer: 56.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 + 8*t**3 + 73.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2959025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 315*a + 315*a + 3 - 23*a**2.\nAnswer: -23*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - 1. Let y(c) = -1. Let q(l) = l**2 + 4*l - 3. Let g(v) = q(v) + 5*y(v). Let j be g(d). Solve -3*x - 5*z = -22, j*x + z - 5*z = 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*k - 13. Let p(x) = -2*x + 10. Let q be p(k). Suppose 0 = -q*g - 3*g. Solve 3 = -g*i + i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*c + 5. Let q(z) = 4*z**2 + 5*z + 3. Let u(d) = -2*d**2 - 2*d - 1. Let g be ((-24)\/(-15))\/4*5. Calculate c*u(v) + g*q(v).\nAnswer: -2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 8 = -0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2 = -2*g. Suppose -g*c = -c - 96. Calculate the greatest common divisor of c and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 155\/5561 or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25\/2 + 35\/3. Which is the closest to 1? (a) j (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397.5614 litres in millilitres?\nAnswer: 397561.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/32 + 288193\/592 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, i: 1, v: 2}. Give prob of picking 1 s, 1 i, and 2 v.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388*y + 390*y = 2. Suppose 5*u - 125 = -5*h, -5*u - y = -4*h - 90. Solve -5*r - 2 = g - 4*r, 3*g + u = 2*r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*i - 64*i + 237*i - 55*i - 8*i**2 + 16*i**2 - 73*i.\nAnswer: 8*i**2 - 29*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 26. Let b(y) = -y**3 - 3*y**2 - 3*y - 2. Let n be b(-2). Is p < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-10665)\/(-225)*((-2)\/(-1))\/(-24) and -109\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hp when two letters picked without replacement from {s: 2, k: 1, y: 2, h: 1, p: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/((-175)\/75)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25819 is divided by 12233?\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 + -3 + (-5 - -197)\/4.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -31*d**5\/5 - 16*d + 37. Find the first derivative of s(w) wrt w.\nAnswer: -124*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + 0.2. Let t = 56.4 + -56.7. Let m = t + k. Which is the closest to 2\/3? (a) 0.5 (b) 0.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 4*j + 597. Let b = j - 11. Let r = 235 + b. Is r a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 23. Which is smaller: j or 12?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1169468317?\nAnswer: 67, 2969, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 18*v + 20. Give a(19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*2\/(-56)*6*48\/(-180)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5105 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -1.2. Let s = -1.192 + 1.592. Sort t, -1\/9, s, 4\/7 in ascending order.\nAnswer: t, -1\/9, s, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (42\/36)\/(2\/6492) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 16) to base 4\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*j = -33*j - 60. Suppose -3*u = -j, 0 = 5*r + 3*u + 2*u - 20. Factor r*q**3 - 1\/2*q**5 + 1\/2*q + 0 - q**2 + q**4.\nAnswer: -q*(q - 1)**3*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20200 and 26120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/20)\/(-2 - -1). Let y = 6\/55 - b. What is the third biggest value in y, -3\/5, 3\/7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -7, -2, 2, -1\/38?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((((-7722)\/220)\/117)\/((-6)\/4))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-13\/4)\/t)\/t)\/t**18 assuming t is positive.\nAnswer: t**(-89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 6*l + 1. Let f be n(-3). Let h = f + 8. Suppose 3*y + 15 = i - 5, -3*i + 4*y + 45 = h. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.6, 605, 0.3 in ascending order.\nAnswer: 0.3, 1.6, 605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 13*o + 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/7, 18, -8, 6 in increasing order.\nAnswer: -8, -11\/7, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152214 by -68.\nAnswer: 76107\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 52 - 50. What is the closest to n in 2, -6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19268, 38528, 57786, 77042, 96296, 115548?\nAnswer: 134798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-810\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12967 - -4186. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(33)\/(-2*sqrt(3)) - sqrt(11)) + 1*sqrt(275))**2 + ((sqrt(2112)*-2 + sqrt(2112))\/((sqrt(36)*-2)\/sqrt(12)))**2.\nAnswer: 1259\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 384, 813, 1242, 1671, 2100?\n\"Answer: 429*d - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*n + 2*n**3 - 4*n)*(1 + 10 - 2) + n**3 + 0*n**3 + n**3 + n - 2*n**3 - n)*(2*n - 2*n + n) as h + i*n**4 + v*n**2 + s*n**3 + y*n and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4*g = -2*g + 42, 3*g - 47 = -5*z. Suppose 0 = -4*l + 65 + 335. Calculate the greatest common factor of z and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 13*r**3 - 2*r**2 - 5*r + 4. Suppose 0 = 41*z + 166 + 136 - 97. Let s(x) = -2*x**3 - 2 - x**3 - 3*x**3 + x**2 + 2*x. Give z*s(t) - 2*j(t).\nAnswer: 4*t**3 - t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 23*o**3\/3 + 51*o - 5. Let f(s) be the first derivative of u(s). Let b(a) = 2*a. Calculate b(f(t)).\nAnswer: 92*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 3*f - 5*n - 3811, -n = 5*f - 6389. List the prime factors of f.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -99, -448, -1397, -3246, -6295, -10844, -17193, -25642?\n\"Answer: -50*m**3 + m - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1836*g + 2142 with respect to g.\nAnswer: -1836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -403226, -403229, -403234, -403241, -403250, -403261, -403274?\n\"Answer: -c**2 - 403225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6 = 0, 78 = 2*p + 4*x - 24. Suppose 3*y = 5*l + 9, 2*l + 9 = l + 3*y. Suppose 3*h - 6 - 9 = l. What is the greatest common factor of p and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 9*s + 2. Let g(i) = -i**2 - 7*i - 3. What is 4*g(q) + 3*y(q)?\nAnswer: -q**2 - q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37122480809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 19\/4*v**3 + 1\/2*v - 17\/4*v**2.\nAnswer: -v*(v + 1)*(19*v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*k - 24*k + 8*k - 82*k**2 to the form v*k + q*k**2 + m and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11.5, -1.2, -1\/4, -6 in descending order.\nAnswer: 11.5, -1\/4, -1.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*s - 128*s + 4*i + 20 = 0, 10*s - 6*s - 4*i - 12 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -111211021212002 (base 3) in base 9?\nAnswer: -14737762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -1.7, 5, 0 in increasing order.\nAnswer: -1.7, -1\/5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818195801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15202 plus 33.8356839?\nAnswer: -15168.1643161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1374 and 225107.\nAnswer: 1350642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38867 is divided by 38845?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * 0.06554273\nAnswer: 0.058988457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28008094309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/(-27))\/(2\/18). Find the second derivative of l*m**3 - 3*m**3 + m**3 + 13*m - 5*m**3 wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1071 and 306.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000046890518 rounded to seven decimal places?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 2*b**2 + b + 4. Let a be j(-2). What is the third derivative of a*y**2 + 4*y**2 - 3*y**2 + 2*y**3 wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42153 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-4))\/(6*8\/24672). Sort l, -5, 5 in descending order.\nAnswer: 5, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*c + 692*c = 204*c + 5152 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2857 = 660*a - 6690 - 1013 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o + 21 + 2 + 10 - 33.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 4. Let o = h + -3.0000006. What is o rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by 16674\nAnswer: 11\/5558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*5)\/(18\/6*2)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 299692986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 1. What are the prime factors of w(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 21*y - 1008. Let t = y - 70. Let v(i) = -2*i + 2. Calculate v(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10251, 9093, 7849, 6477, 4935?\nAnswer: 3181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 8819*q + 52912. What is t(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 0*a**4 - 2*a**2 + 0 - 1\/60*a**5 + 0*a + 0*a**3. Let m(j) be the first derivative of j**3\/3 + 9. Give m(q(p)).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a0261 + 4?\nAnswer: 1a0265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1775186 and -39\/23.\nAnswer: 1775186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 63\/8*r - 15\/8 - 3\/2*r**2 = 0.\nAnswer: 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1359542*g**2 + 1228139 wrt g.\nAnswer: 2719084*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(18) - sqrt(18)*2)*2 - (2 + (sqrt(18) + (sqrt(18) - (sqrt(18) + -1)))**2)) + (sqrt(882)*-2*5 + 2)**2.\nAnswer: -852*sqrt(2) + 88182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1309496 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 133 in -3\/5, -3\/4, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*f + 52 = 3*p, -p + 11 = 5*f. Suppose 3*k - p = 11. Let r = 29 - k. Solve 0*b = -4*b + r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3302, -0.2, -4 in decreasing order.\nAnswer: -0.2, -0.3302, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 - -1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, h: 1, f: 2, i: 1, c: 1}. What is prob of sequence hffi?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0609 * 7.\nAnswer: 0.4263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(171) + 1)*-6 - sqrt(171)) + sqrt(171) + 6*sqrt(171)*-1)*6.\nAnswer: -216*sqrt(19) - 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -2*i**2 - 6*i - 3. Let y be p(2). Let a = y + 19. Solve -h + 5*l = 10, -3*l - 4 = h - a*l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*h - 67 + 35 - 224 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1416514 is divided by 28330?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 12:21 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -15*u**2. Let s(c) = 21*c. Calculate r(s(q)).\nAnswer: -6615*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3359*j = 2059 - 32290 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 11 (c) 4417 (d) 0.05 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.835878 and 0.03?\nAnswer: 0.805878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d + 2 - 5 + 2. Let r(o) = -3 - 4*o + 32*o + 0 - 12*o - 21*o - 9*o. Determine -7*f(v) + 2*r(v).\nAnswer: 7*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -13321980.76 to the nearest 100000.\nAnswer: -13300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 8:25 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12 and 2100278479.\nAnswer: 2100278467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/27355 or 0?\nAnswer: -3\/27355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 2. Let l be (7 - 2) + 9 + 2 + -2. Let u = 6 + -4. Suppose -u*h = 5*m - 6*h - 46, 5*m + 4*h = l. Calculate x(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -1122223333032?\nAnswer: -1122223333030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -120, 362, -4 in decreasing order.\nAnswer: 362, 5, -4, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -484 by -491.\nAnswer: 484\/491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10084 from 208901.851.\nAnswer: 198817.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l. Let p(v) = 2*v. Let k(z) = 6*a(z) - 5*p(z). Let y(o) = -12*o**2. Give k(y(w)).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -223*p - 43. Let v(n) = -147*n - 42. Let m(o) = 2*u(o) - 3*v(o). What is m(11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -452? (a) -0.2 (b) -0.1 (c) 4.8 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4240834410 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**3\/5 - 80189*v**2\/5 + 1202654*v\/5 - 3527656\/5 = 0?\nAnswer: 4, 11, 80174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2776 by 71775.\nAnswer: 2776\/71775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 19\/645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59.242 + 0.242. Let y = t + 57.3. What is the third smallest value in y, -5, -2, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 3*m + 1 - 2, 4*m + 2*p - 6 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -8928\nAnswer: -1\/4464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 42\/5 - 4\/10. Let t(z) = z**3 - 5*z**2 - 24*z - 4. Let u be t(8). What is the third smallest value in u, -0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e8aa - 5?\nAnswer: 1e8a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 278126846 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: Let z(q) = -6*q. Suppose 0*m + m - 5 = -4*p, -3*m - 2*p = -15. Let c(t) = 6*t. What is m*c(n) + 6*z(n)?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189398759.\nAnswer: 11, 139, 11261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(12\/(-9) + 1). What is the greatest common factor of 180 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*l**4 + l + 23*l**4 - 10*l**4 + (l**3 - l**3 - l**3)*(-l + 2*l - 3*l).\nAnswer: 37*l**4 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-87)\/(-100) + (-5)\/((-80)\/(-12)). Which is bigger: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170.06 take away 1?\nAnswer: -171.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**5\/20 + q**4\/12 + 5*q**2 + q. List the prime factors of m(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 14*f**2 - 47*f - 67. Determine c(-14).\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -5 (b) 0.1 (c) 64 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*f - 4. Suppose -3*j + f + 0 = c, -c = 2*j - 2. Suppose -5*s + 4 + 6 = j. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 6*g + 2 = 0. Suppose 0 = -3*r - a - 45, 0*r + 2*r + 17 = -5*a. Let h = 22 + r. Solve -g*y = -h*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k**2 + 4 - 4)*(-2 + 0 + 4) - k**2 + 4*k**2 - k**2 + 0*k**2 - 4*k**2 + 2*k**2 - 11*k**2 + 9*k**2 + 11 + 11*k - 12 as x*k + r + c*k**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a161 (base 16) to base 7.\nAnswer: 2010435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 - 17*i - 127. What is the remainder when a(14) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.44 + -0.44. What is the nearest to -3 in -0.1, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643452 is divided by 4988.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -462723 - 16?\nAnswer: -462739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 11*r**2 - 157*r - 112. Determine q(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 3*h + 3 = 0, 2*h + 3154 = -4*l + 3156 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 215.5 - 215. What is the closest to 181 in -4, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 10:27 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 70*x**2 + 10*x + 15. Let a(l) = -9*l**2 + 3. What is 10*a(d) - 2*g(d)?\nAnswer: -230*d**2 - 20*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3857509.\nAnswer: 37, 137, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 119.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2. Let q(n) = 92220*n**2 - 956 - 31*n - 9876*n**2 + 2930 + 31*n. Let k(s) = -376*s**2 - 9. Let f(v) = -658*k(v) - 3*q(v). What is j(f(d))?\nAnswer: 282752*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 45 = -5*j + 6, 5*j + 15 = 0. Suppose -4*a = -5*a - 15. Let p be l\/a + (-2)\/(-5). Solve 0 = -3*q - 5*z, -4*q - 3*z = p*z + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 174 and 522.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 2275?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*6*(4*((6*(sqrt(180) - (1 + sqrt(180))) - sqrt(180)) + (sqrt(180)*-1 + sqrt(180) - sqrt(180)) + 4))**2.\nAnswer: -69504 - 4608*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3 + 27 = -p, 2*w - p = 9. Suppose 8*z - w*z = 315. Suppose -k - 4*k = -z. Calculate the highest common factor of 3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -225411284 divided by 3?\nAnswer: -225411284\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, j: 8, d: 2}. What is prob of picking 1 d and 3 j?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*t**2 + 9*t**2 + 128*t**2.\nAnswer: 216*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3494\/7171 + -36\/71. Let v = y + 105\/202. What is the biggest value in -1, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 31*s**2 + 8007*s + 32013. What is p(-4)?\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 5*m = -56 + 14, -25 = -4*q - m - 19 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 4*x + 4. Let o be l(4). Suppose -j = j - o. Suppose -a - j - 1 = 0. Sort 5, a, 2 in ascending order.\nAnswer: a, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 31 = -n, 3*c + 91 + 52 = 5*n + 58 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 = 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 11 = -2*x, 4*x - 7*x + 10 = 2*a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -37 - (-7 - (4 - 6)). Which is greater: j or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/9))**(1\/67)\/((n*n\/(n*n*n\/(n*(n**(-1)\/n)\/n))*n)\/n**(-3\/4))*((n\/(n\/((((n\/(n*n**2))\/n*n)\/n)\/n)))**(1\/11))**(-26\/3) assuming n is positive.\nAnswer: n**(116693\/26532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, k: 9}. What is prob of picking 1 o and 2 k?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w + 9*w**2 - 14*w**3 + 3*w - 7*w**2. Let x be v(1). Let g be (5 + x)*(-1)\/2. Sort -1, -5, g in increasing order.\nAnswer: -5, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 351?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -2, 7\/10, 0.5?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 2. Suppose 0 = -12*v + 17*v + 20. Let n be ((8 - 4) + -6)*v. Let p(x) = -1. Give n*p(b) - 3*u(b).\nAnswer: -3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i\/i**(-1\/8))\/(i\/i**(-3\/7)*i*i*i))**(-1\/51) assuming i is positive.\nAnswer: i**(73\/2856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 77*k**2 - 231*k + 734. Let v be j(-80). Solve 5*w - 20 = 2*y, -5*w = -v - 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6216*g + 3024 = 6132*g for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 85699008?\nAnswer: 257097024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 848\/(-144)*30*18\/(-4) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m - 40553 - 20361 = 0. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426569?\nAnswer: 11, 13, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiiimjuiiimmu. What is prob of sequence mi?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and 0.1.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (3 - (7 - 1)) - ((-2 - 14) + 20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000633 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/790 and 20\/711.\nAnswer: 7110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f. Let h(d) be the second derivative of 0 + 0*d**3 + 0*d**2 + 1\/6*d**4 - 5*d. Calculate z(h(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(33\/15 - 2). What is the biggest value in -0.3, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -76145, -152291, -228437?\n\"Answer: -76146*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 764549 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -819493 in descending order.\nAnswer: 6, 0, -819493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287 = -17*o - 255 + 321 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(6\/5)*(t*t**(-2\/9))\/t)\/(t**(2\/7)\/t**(-4\/5)))\/(((t\/(t*t**(-2\/7))*t)\/t)**(-3\/38)\/(t*((t\/(t**(2\/7)*t)*t)\/t)\/t)**(-2\/5)) assuming t is positive.\nAnswer: t**(173\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/75064 and 79\/30774534.\nAnswer: 1354079496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1438, 2864, 4288, 5710, 7130?\nAnswer: 8548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -3. Suppose 5*f = -15, -2*b + 3*f = b - 21. Differentiate 0*l**3 - 2*l**v - 3 + b with respect to l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -14, -114, -2\/13, -3, -2\/9 in increasing order.\nAnswer: -114, -14, -3, -2\/9, -2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 531\/15 - 9\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 + u. Let n be a(-2). Let s(c) = -c**3 - 9*c**2 - c - 13. Is s(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 c when three letters picked without replacement from {c: 4, q: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a week in minutes?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -4. Let v = 3 + g. What is the third derivative of -2 + 2 + l**4 + l**4 + 13*l**v wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h - 26. Determine n(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1300*w**3 - 76138*w**2 + 76138*w**2 + 0*w**3 - w**3 - w**3 + (-4*w - w + 3*w)*(3*w**2 - 4*w**2 - w**2).\nAnswer: 1302*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*n + 102 - 278. Calculate the lowest common multiple of 4 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (13 - -1)) + (-8)\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14769633 to the nearest integer?\nAnswer: 3843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4*15*(42\/(-8) - -4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13705 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) -3\/5 (c) 15 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqawnwqqyqy. Give prob of sequence qqwa.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4232173 and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 127885514?\nAnswer: 127885515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -9*a**2 - 13. Let p = 8 - 15. Let u(g) = 4*g**2 + 6. Determine p*u(j) - 3*b(j).\nAnswer: -j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 48 = 8. Let c = -6 + 7. Let d = c - y. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -15*d - 89. Let q be h(-6). Let u be 3\/9 - 10\/3. Which is the third smallest value? (a) -1 (b) u (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0988 to 3 decimal places.\nAnswer: 0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -2*o + 17. Suppose 5*b + w - 595 = 0, w - 123 = -0*b - b. Suppose -8 + b = 5*m. Solve -5*v + 2*j + j - m = 0, -o = 4*v + 5*j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5309 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -247, -517, -789, -1063?\nAnswer: -1339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4218, -17052, -38442, -68388, -106890, -153948?\nAnswer: -209562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 13*u + 6 - 9*u + (-u - u + 3*u)*(0 - 2 + 0) - u + 4*u - 4*u.\nAnswer: u + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-3)*k)\/k**(1\/5)*(k\/((k\/k**2)\/k))**15 assuming k is positive.\nAnswer: k**(219\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 48, 85, 126, 165?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**3 + 6*m - 1 - 9*m + m)*((m - m - m)*(3 + 2 - 3) + 3 + 3*m - 3).\nAnswer: 5*m**4 - 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1853 - -1855. Solve j - 6*j - 22 = y*s, j - 3*s = -1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 30?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -385*k**4 - 79755*k**3 + 313540*k**2 + 259380*k - 1367280 = 0.\nAnswer: -211, -2, 18\/7, 36\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8845587?\nAnswer: 3, 982843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8.713 and 0.908.\nAnswer: -7.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*7 + (-2)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0502? (a) 2\/9 (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26768440?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2136*b - 1. Let a(o) = 12*o**2. What is a(d(f))?\nAnswer: 54749952*f**2 + 51264*f + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -0*n + 2*n. Let h be (-4)\/10 + 10\/n. Factor 0*t**3 + 0 + 2\/3*t**2 + h*t - 2\/3*t**4.\nAnswer: -2*t**2*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/5 + 170992*k**3\/5 + 3654612012*k**2\/5 - 7309737008*k\/5 + 3654954002\/5.\nAnswer: 2*(k - 1)**2*(k + 42749)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n + 6. What is the remainder when u(5) is divided by 14 + 15 + -19 + -5 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*c + 21035 = 0, 2*q - 8399 = -20*c + 17*c. List the prime factors of q.\nAnswer: 2, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 9*b - 1. Suppose -4*h = -3*q - 2300 + 553, 5*q + 1757 = 4*h. Let l = h - 443. Determine w(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 9*i + 3*i - 18 = -5*i, 19*x - 368 = 15*x + 47*i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 20, 0.2, 17.7325, 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 738.4971 centuries to millennia.\nAnswer: 73.84971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 386823779877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.022, 19\/6, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 17 (b) 0.6 (c) -2 (d) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 24603*h**3 - 8*h**2 + 14*h - 9. What is the thousands digit of l(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -9 (b) 0.19 (c) -0.3 (d) 68.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -254 or 74094?\nAnswer: -254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.8971733 - 14.9099. What is s rounded to four decimal places?\nAnswer: -0.0127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1510 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.093965 to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228 and 4408.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4608 by -19669.\nAnswer: -4608\/19669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/416 and (-20)\/(-2) + (-23)\/504*259.\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, a: 2, p: 1, s: 1, w: 2, j: 2}. Give prob of sequence ab.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/6)\/((-2)\/12). Let t = 713\/5 - 143. Let v = -0.22 + -4.78. What is the third biggest value in r, v, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - r**2 + 7*r. Let p = -524 + 524. Let i be m(p). What is the closest to -4 in -5\/3, -4, -2\/5, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 495, 498, 501, 504, 507, 510?\n\"Answer: 3*z + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3216*s + 13 + 786*s + 2 - 16 as d*s + n and give d.\nAnswer: 4002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.7286 and -0.4?\nAnswer: -2.29144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**4 + 1 + 0 - r - 4*r**3 + 0*r + 6*r**3 as p + g*r**3 + f*r + j*r**4 + h*r**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3287.2 + -598745301?\nAnswer: -598748588.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 927 - 15*d - 23*d + 40*d + 2540.\nAnswer: 2*d + 3467","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, b: 3, o: 3}. Give prob of picking 1 o and 2 b.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 24744*g - 12357*g - 12384*g + 1 + g**3 - 4*g**2. Suppose 7 - 3 = h. What is a(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j + 5 = -8. Let s(g) = 5*g**2 - 29*g + 30*g - 3*g**2 - 4*g**2. Let p(n) = -2*n**2. What is j*p(d) + 2*s(d)?\nAnswer: -2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 105411, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.887 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16028*s - l = -16029*s + 12, -3*s = -5*l - 26 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 10 = -5*o - 3, 4*t + 16 = 0. Calculate the smallest common multiple of o and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14967031.\nAnswer: 14967031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**2 + 106*q + 55. Calculate w(-21).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 30*r + 40. Let w(q) = -5*q**2 - 180*q + 240. Let j(h) = -35*t(h) + 6*w(h). Let j(c) = 0. What is c?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/13 - 252*z**3\/13 - 67334*z**2\/13.\nAnswer: 2*z**2*(z - 257)*(z + 131)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 13. Let i be 56 - (0 - 0\/3). Let j = i - 16. What is the greatest common divisor of q and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4538954?\nAnswer: 2, 7, 324211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -238044, -238013, -237982, -237951, -237920?\nAnswer: -237889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/45*56\/(-140))\/((-11)\/(220\/8)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 0*i**3 + 0 - 1\/60*i**5 - 3*i**2 + 0*i**4 + 0*i. Let d(v) = 3*v**2. What is x(d(q))?\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -1755*a**2 - 19299*a + 66 = 0.\nAnswer: -11, 2\/585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11331 (base 4) in base 10?\nAnswer: -381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -5 (c) -22 (d) 5 (e) -0.0679 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4 - 2592*n**2 + 41472*n - 186624 = 0. Calculate n.\nAnswer: -36, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 11:09 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41576310.1 and 3?\nAnswer: -124728930.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -x + p + 2529, -x - 4*p + 2508 = 0. Is 40 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -79.215 (c) -2 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2381469287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/9 and 7\/78894.\nAnswer: 78894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + u**2 + 73. Calculate the remainder when d(0) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -32*r**2 + 19*r**2 + 15*r**2. Let n(i) = -29 - 25 - 8*i + 83 - 29. What is j(n(k))?\nAnswer: 128*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - v + 15 = 0, -10*l - 5 = -11*l - v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 47 and -303.10669711.\nAnswer: -256.10669711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*g + 69*g - 20*g - 10176. What is the remainder when 459 is divided by g?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -227 + 229. Solve l*b + 4 = 5*n, 2*b - 3 = -5*n - 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 w, and 2 y when four letters picked without replacement from {w: 10, s: 4, y: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -1. Let d be (-1)\/2*8*6\/8. Let l be (-1 - d)*(j + -7). Which is smaller: -13\/3 or l?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 15*r + 4. Let w = -16 + 19. Suppose 35 = -4*v - m + 105, 72 = 4*v + 2*m. What is the remainder when i(w) is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*l + 4 = 81*l + 3*a, -15 = -5*a. Solve -2 = 5*v - w - 3, l*v + 2*w - 13 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 3\/4, 7, -4\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*u + 5 = 11, -x + 4 = -3*u. Let d(y) be the second derivative of -y**4\/12 - 2*y**3\/3 + y**2\/2 + y. Let f be d(-5). Sort f, 3, x.\nAnswer: f, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -1 + 3. Suppose 4*m + l + l = 8, -2*m - 4*l = 2. Which is smaller: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**5 + 344*j**4 - 188*j**3 - 13064*j**2 + 11952*j + 24480 = 0.\nAnswer: -6, -1, 2, 6, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-323)*17*((-2575)\/10)\/5.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-8))\/(44\/238 + 24\/(-112)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39081*j**4 + 25*j**2 + 9997100*j?\nAnswer: -468972*j**2 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1015355 - 2861.05.\nAnswer: -1018216.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36779926 by 18389963.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**3 - o. Let l be h(1). What is the units digit of l\/(-3) + (-1)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from vrrvrrv.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3\/9 - 319700*m**2\/9 + 6393238*m\/9 - 6073540\/9 = 0.\nAnswer: 1, 19, 159830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -218*u + 7*u**2 + 218*u. Let o be m(-4). What is the highest common divisor of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -18. Suppose -s - 5 - v = 0. Let m be (2\/(-4))\/((-15)\/s). Which is smaller: 2\/11 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 219*z**2 + 334*z + 686. Find the first derivative of t(d) wrt d.\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169362962?\nAnswer: 2, 61, 137, 10133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 0, 0*w - 2*p - 762 = 3*w. Let r = w - -573. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48356 + -48348.7081. Let o = -0.2869 + u. Let r = o + -6.8. Round r to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7 and 6.35?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.45265029 to two dps.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3816)\/(-3604))\/(168\/(-272))*14\/(-54)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24213?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 963779791 a multiple of 2290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5560 is divided by 96.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -32, -29, -26?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7)\/(j**9*j))\/(j\/j**6*j*j\/(j\/j**(-6))) assuming j is positive.\nAnswer: j**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 - -0.042. Let k = y + -24.002. Let s = -24.1 - k. Which is the closest to s? (a) -8 (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 89*v**2 + 4*v - 333. Calculate p(89).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 2*k**2 - 2*k - 1. Let x be j(3). Suppose x*z = z. What is the closest to z in 0.4, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 652*o + 290*o - 48402 - 19422 for o.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (841\/(-58) - -18).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 30\/7, 6 in increasing order.\nAnswer: -2, 30\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73 + 74. Let p be (-5)\/g - (132 + -2). Let l = -93 - p. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqs when four letters picked without replacement from {s: 1, q: 18}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, r: 2, e: 1, g: 3}. Give prob of picking 2 g and 2 r.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1901.36 (b) 1\/3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -10*j**5\/21 - 5*j**4\/3 - 7*j**3\/3 + j**2 + 21*j. Let r(h) = 0. Calculate h.\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 6 - (-1 + 3 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + (sqrt(110) + (2*sqrt(110) - sqrt(110)))\/sqrt(10)*2*1).\nAnswer: -8*sqrt(11) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -1424*o + 709*o + 708*o. Let a(c) = -2*c - 1. What is m(a(x))?\nAnswer: 14*x + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5421*a*k + 4*a*p**3 - 33*k*p**3 - 7*k*p wrt p?\nAnswer: 12*a*p**2 - 99*k*p**2 - 7*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 48*b**2 + 2*b + 98. Let c be z(-48). Solve -4*l - 6 = 2*u + c, -2*l = 2*u + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 11*m**2 + 10*m + 6. Let x be i(-10). Solve -3*u - x = 3*p - 4*p, 6 = -p - u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wpkpkpqnwwpwfww. What is prob of picking 2 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2. Let n(x) = 16666252*x. Give t(n(g)).\nAnswer: -555527911455008*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 935657926?\nAnswer: 2, 7, 19, 97, 36263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-549)\/189)\/((-1)\/21)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-1652)\/354)\/((-14)\/108) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5714 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20490024?\nAnswer: 2, 3, 919, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8*(-2 - (-5)\/4) + 1. Let m(s) be the first derivative of -s**2 + 8*s - 1. Determine m(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-685)\/822*44\/15?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -650*r + 692*r + 882 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7766676941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*q**4 + 5*q**6 - q**6 - 22*q**2 - 24*q**2 + 15*q**2 wrt q?\nAnswer: 480*q**3 - 360*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.029932 and 6.\nAnswer: 6.029932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -17 - 22. Suppose 15 + g = 4*o. Let b(d) = d**2 - 7*d + 1. What is the units digit of b(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.11 (b) -0.16 (c) 4.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.887 to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 17954 divided by -2\nAnswer: -8977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)\/(y*y\/(y*y*y**(-23))))\/(y**21*y**(2\/61)) assuming y is positive.\nAnswer: y**(-3113\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11414044 or 11414050?\nAnswer: 11414050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -290 - -920. Let x(a) = -i*a + 312*a - 5 + 317*a. Let t be (-1 - 0)\/((-1)\/(-7)). Calculate x(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -33. Let v(j) = -j**3 - 8*j**2 - j - 6. Let d be v(z). Solve d*s - 6 = 4*o, -s = -2*s + 3*o + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3173590+207518\nAnswer: 3381108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112871929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -420.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 48. Suppose 2*p = -3*p + 30. Does 11 divide (w\/p)\/(1\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 8*n**6\/3 - 10*n**3\/3 - 14. Find the third derivative of q(x) wrt x.\nAnswer: 960*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022021212212 (base 3) to base 14.\nAnswer: 141220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 + -64. Let d be 2 - (-1 - (1 - 2))\/s. Find the third derivative of 22*i**d - 81*i + 81*i - 28*i**4 wrt i.\nAnswer: -672*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204131 divided by 1?\nAnswer: 1204131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 1 - 11. Let c(g) = g**2 + 3. Let h be c(-2). Let t = h - d. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(3*2\/8). Let i be (1*-7)\/(k - 3). Let o(n) = 4*n**2 + 3*n. Let j(f) be the third derivative of -f**5\/10 - f**4\/6 + 6*f**2. What is i*o(s) - 5*j(s)?\nAnswer: 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 41*g - 1727. Calculate k(47).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23 and 0.12409.\nAnswer: -2.85407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, j: 2, i: 3, k: 4, b: 2}. Give prob of sequence fi.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 15*z + 4*b - 5128, -z = 2*b - 1277. List the prime factors of z.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 949\/104)*(-11 - -13)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74468 is divided by 2399?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkxkxxkxkkxxxx. Give prob of sequence xxxk.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, d: 3, w: 7, o: 2}. Give prob of picking 1 d and 2 o.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69539779 a multiple of 334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 12 = -37. Let j = -3 + g. What is the remainder when j is divided by (-1)\/1 + 4\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61347 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 91 (c) 10 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1982*g**2*k - 40*g**2 - 10*g*k - 98306550*k + 2 wrt g.\nAnswer: -3964*g*k - 80*g - 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 10:09 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3071 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534133 is divided by 9538.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26069.\nAnswer: 131, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -170.203 + 170. Let y = b + 0.2029937. Round y to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 889?\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 383 - 2?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 44\/88 + (-1 - (-13719)\/2). Let m = g - 356. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - x + 19, 0 = 5*r - 754*x + 750*x - 113 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 8*z**2 + 6*z - 12. Let h be i(-9). Suppose 0 = -h*s + 60 - 0. Solve -3*g + 4*k = 2*k - 2, 4*k + s = -3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*t**2 - 64*t**2 - 20*t**2)*(-2 - 2*t + 2)*(-t + 4*t - 5*t)*(-4 + 0 + 3).\nAnswer: 384*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - a - 40 = 31, -w = 2*a + 16. Which is smaller: -19 or w?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -218117712 rounded to the nearest one million?\nAnswer: -218000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1822176 at least -1822245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8794105.9 and 0.1.\nAnswer: 879410.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 11*b - 5*p + 341 = 0, 4*b = 3*p + 747. Suppose 0 = 7*l - b - 1966. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*b**3 - 70*b**3 - 7*b**3 + 25*b**2 + 6*b**2 wrt b?\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*r + 51, -2*h - 85 = -4*r - 23. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -19.8. Let x = -39 + 36. Let r = x - u. Which is the third smallest value? (a) -2\/7 (b) r (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -24 + 1 + 13 + -8. What are the prime factors of 10734\/9 - l\/(-27)?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smjm when four letters picked without replacement from msjjyjjsmjms?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.19 from 156698577.8.\nAnswer: 156698578.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1257 and 14665.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.9397 + 10.51\nAnswer: 7.5703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*n - 4*n + 8, n - 4 = 0. Suppose 5*w + r - 20 = 0, -12 = -w - 3*r + 6. Put h, 2, w in ascending order.\nAnswer: h, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f - 104. Let q be n(16). Suppose 991 = -q*i + 11607. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**3 - 2*q**3 - 3*q**3 + (3*q - 4*q - q)*(0*q**2 + 0*q**2 + q**2 + (1 - 2 + 3)*(-3*q**2 - q**2 + 2*q**2)).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/7 - 2890\/(-70). Calculate the highest common factor of 205 and j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31, -34, -47, -76, -127, -206?\n\"Answer: -x**3 + x**2 + x - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5282 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5\/2, -103, -1\/4.\nAnswer: -103, -5\/2, -2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/7)\/(9\/(-63)). Suppose 3*r + 6 = o*r. What is the highest common divisor of 42 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 347 - -173. What is the highest common divisor of r and 312?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 177, 1, 5, 137, -5 in decreasing order.\nAnswer: 177, 137, 5, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6352, 6355, 6358, 6361, 6364?\n\"Answer: 3*t + 6349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116 + -172. Let q = -55.99 - o. Let h = 0.00999926 - q. What is h rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.3 (b) 3 (c) -4 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -28*y**2 - 7*y + 7. Let l be g(1). Let p = l + 46. What is the greatest common factor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 10 + 2. Let f be o - (-2 - (-6)\/(-5)). Is 0 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**8\/6720 - u**7\/630 + u**6\/180 + u**5\/120 - u**4\/6 - 3*u. Let h(j) be the third derivative of q(j). Calculate h(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2698871993?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2)*(-11)\/(99\/24). Is 191\/(-3 + 0 + g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*((-5)\/3 - -2). Suppose -2*b - 16 = -2*i, 12 = b - 6*b - a*i. Let k be -1*1 + 12\/3. Sort b, 1, k in increasing order.\nAnswer: b, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3143819 times 190\nAnswer: -597325610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)*1)**2*4 - (1 + sqrt(192) + 2)) + -1.\nAnswer: -8*sqrt(3) + 764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 5:41 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160159 is divided by 117?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1733295755 to the power of 1\/3, to the nearest integer?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 1670*j + 6600.\nAnswer: 5*(j - 330)*(j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f + 15*f + 4*f + 97*f**2 - 7*f.\nAnswer: 97*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -10 + 35. Let d be 3 + -3 + (o - -2). Suppose d = -3*n + 76. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.2, 2, -0.12 in decreasing order.\nAnswer: 2, 0.2, -0.12, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 457898711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/((i**(-14)*i)\/i)*i**(1\/14))**(-28)\/((i**(-8)*i**3)\/(i**(2\/5))**(-14)) assuming i is positive.\nAnswer: i**(-2253\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/7)*g*g**(-4) assuming g is positive.\nAnswer: g**(-19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**3 - 3*l**2 - 3*l + 7. Let a be n(2). Let b(w) = -9*w**2 + 7*w - 2. Let p(z) = 19*z**2 - 15*z + 5. Give a*b(i) + 6*p(i).\nAnswer: -3*i**2 + i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 113aa9 - -2?\nAnswer: 113aab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 150, 211, 300, 417, 562, 735?\nAnswer: 936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnd when three letters picked without replacement from ngnnggnndgnnnkd.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, t: 8}. What is prob of picking 1 u and 2 t?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5500154, 5500157, 5500160?\n\"Answer: 3*j + 5500151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12913337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126282, -252562, -378842, -505122, -631402, -757682?\nAnswer: -883962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21\/11 + -368\/187. Let g be (-2)\/(-6) - (-1067)\/(-33). Let h = -32 - g. Is v < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 3:19 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*o**3*t + 2*o**2*t - 11265*o*t + 21336*t wrt o?\nAnswer: 6*o**2*t + 4*o*t - 11265*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 106 = 3*p. Suppose -11 = 5*q - p. What is the remainder when 94 is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 1\/((-3)\/(-3)). Suppose d = -3*w + 43 + 44. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13524 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555 is divided by 181.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001010 + -1100001?\nAnswer: -10101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 27225?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2917327.\nAnswer: 7, 416761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2048622 to the nearest integer?\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-805)\/140 - 65\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**3 - 19*w**2 - 13*w + 109. Give x(5).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 4, q: 5, r: 6}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.6 - -2. Let q = v - -0.6. Let m = 1.9999936 + q. What is m rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39.142 - 39.1. Let g = t - -2.118. Round g to one dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58102.9475 rounded to the nearest 1000?\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - s + 4. Let f be z(0). Suppose 6*g - 2*g = f. Let a be 11\/176*-20 + (-10)\/(-40). Sort a, g, -2 in ascending order.\nAnswer: -2, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2*l**2 + 5*c**2*l + 27*c**2 + 2*l**2 wrt l.\nAnswer: -2*c**2*l + 5*c**2 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 82249a?\nAnswer: 82249a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*q**4 - 739*q**3 - q**2 + 48471*q?\nAnswer: -48*q**2 - 4434*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 851818451.16093479 - -13.83906521. Let s = 851818483.99999974 - u. Let j = 19 - s. Round j to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810 is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1374877, 2749766, 4124659, 5499550, 6874433, 8249302?\n\"Answer: -d**3 + 8*d**2 + 1374872*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32599261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*s = n - 3, 5*s - 15 = 0. Suppose -2 = -2*k, -n*r + 3*k = 5*k - 353. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -14, 0.05, 1\/2, -0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 + -46. What is the first derivative of -7*p**4 + 17*p**4 - 4*p**4 + o wrt p?\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q - 2 = 0. Let u be (-4 + -382)\/(q\/(2 - 0)). Suppose 5*h - 182 - 30 = -f, 4*f + h - u = 0. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(360) - sqrt(360)*2)\/sqrt(9))\/(sqrt(128) - sqrt(128)*2).\nAnswer: sqrt(5)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -19. Let t(n) = -n**2 + 4*n - 3. Let c be t(3). Solve p - 23 = u*z, 3*z + 4*p + c*p = -23 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -440 + 475. Factor 24*a**2 + 66*a**3 + 15 + d*a**2 - 6*a**3 + 78*a + 61*a**2 + 6*a**3 + 9*a**4.\nAnswer: 3*(a + 1)**2*(a + 5)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -800 (base 11) to base 10\nAnswer: -968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1800*d + 10 - 1809*d.\nAnswer: -9*d + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/197 in -0.05, 0.035, -6, -3?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**3 - a**2 + 0 + 1\/24*a**4 + 0*a. Suppose 2*y - 7*y = 0. Determine p(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 335942576?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 minus 0.1?\nAnswer: -130.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-15))\/h**(-5) assuming h is positive.\nAnswer: h**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 30*k**2 - 9*k + 3. Let g be y(2). Suppose n = -4*b + 40, -g = n - 4*n + 3*b. What is the least common multiple of n and 27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117297\/2578 + 1\/1289. Let f = -6272 - -6319. Which is greater: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 608447*v**2 - 1216897*v - 608449.\nAnswer: (v - 608449)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420948 and 364609.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3987942 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2)*(1 - 3 - 3)*(-4*o**2 + 0*o**2 - o**2) - 3*o - 2*o**2 + 3*o.\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 58573.57 grams in micrograms?\nAnswer: 58573570000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1387098?\nAnswer: 2, 3, 17, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -92. Let v = 1157 + -1144. What is the remainder when d is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 20*g**2 - 8*g - 8. Let h be x(-4). Let m = 683 - h. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -9. Let r = 13 + c. Suppose -2*m + 63 = 3*u, 8 + 24 = u - r*m. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 2493914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20433 and 294?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 + 442. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + m - 295084*m**3 - 2*m.\nAnswer: -295084*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -4, 1, 15 in descending order.\nAnswer: 15, 5, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/9 and 97\/242.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 148637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 65217231 divided by -211059?\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/38*2928\/1098*(-6)\/4.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7637 plus -9.765252?\nAnswer: -7646.765252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101221010 (base 3) to base 14.\nAnswer: 2c92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (c - 3*c + 4*c)*(-2 + 2 + c) - 2*c + 6*c + 6*c**2 - 2*c in the form o*c + h + i*c**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172570*18.\nAnswer: 3106260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36530717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -187808 divided by 314?\nAnswer: -93904\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 10:35 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*f + 2 = 3, -7 = k + 2*f. Suppose 3*a - 7 - 5 = 3*x, -a = k*x + 8. Suppose a - 13 = -s. Calculate the greatest common divisor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 57*d**2 + 1138*d - 44. Give s(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 485*q - 26813. Calculate j(50).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 + 60. Find the first derivative of 59 - 33 + w*j**2 - 27 wrt j.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.8 + -0.8. Let f = -2747 + 2730. Which is the smallest value? (a) f (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -22*p + 1. Suppose 0 = 3*w + w - 20. Let s be -1 + w*6\/15. Determine g(s).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u - 35*u + 19*u - 13 as z + x*u and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 32 = -u, 3*a - 7 - 2 = -4*u. Suppose -a*w - 181 = -8*w + 4*x, 3*x + 507 = 3*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vggl when four letters picked without replacement from gtvglgtlttl?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -357, -282, -207, -132?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.29 - 7.39. What is the nearest to 55 in 2, 0.2, -2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 23. Let x = 0 - -2. Suppose -2 = -o - x*t - 1, -1 = o + 4*t. Solve -y*n - 1 + o = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -2*w - 8*t, -w = -2*t + 12. Calculate the common denominator of (238\/231 - 1)*294\/w and 35\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36083 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -250 in 6, -0.50351, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 358346490 to the power of 1\/2, to the nearest integer?\nAnswer: 18930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wweryywyrwwry. What is prob of sequence yw?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201828 divided by -1529.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -618810 by -3.\nAnswer: 206270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 107236 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*f + 2*f + 6624 = 0, 0 = 2*f - 2. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-70)\/(-168)*1\/5. Let f(b) be the second derivative of b + 0*b**3 + 0*b**2 + 0 - 1\/10*b**5 + i*b**4. What is the third derivative of f(s) wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -34) + -4 + 1 - (-50 + 61 + -9).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*o - 30 = -0*d, 0 = -3*d - o - 105. Let l = d - -74. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 113\/68 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 6\/7*m**4 + 2\/7*m**3 + 4\/7 - 10\/7*m**2 - 2\/7*m = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 - 23*l**2 - 6*l - 31. Determine f(0).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -1 (c) -3\/7 (d) -0.4 (e) 9167.51 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 - (70\/(-11) - -3) and -50\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -20210*g**2 - 13660. Let d(z) = -z**2. Determine r(d(h)).\nAnswer: -20210*h**4 - 13660","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 3*o**7\/35 - 7*o**5\/20 - o**2. What is the third derivative of r(z) wrt z?\nAnswer: 432*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1324.3 - -1655.9. Round y to the nearest integer.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 less than -244030?\nAnswer: -244022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 7*q + 183. Determine s(-11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7401820 divided by -1850455?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b = 5169 + 683. Calculate the highest common factor of b and 304.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 501*s**2. Let u(b) be the first derivative of 0*b + 0*b**2 - 1\/3*b**3 + 99. Calculate x(u(n)).\nAnswer: 501*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -721, -766, -811, -856, -901, -946?\n\"Answer: -45*g - 676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 8. Let r = -10 - -16. Suppose 0 = n + i*n - r. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1460 (b) 2\/5 (c) 21\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233608 is divided by 233478.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111100111001 - 11?\nAnswer: 111111100110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(-190)*0\/(-6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05 + -0.53. Let f = -0.02 + z. What is the third biggest value in 0.4, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 6*n - 4. Let y be l(-3). Let i be (-1 - (y - 6))\/3. Let z be (-1 - 2)*2\/(-3). Solve -5*k + 16 - 1 = -z*t, i = k + 4*t - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + g - 2. What is n(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/(748\/(-220))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 154, -91, -692, -1649?\n\"Answer: -178*m**2 + 289*m + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.7, 1, -0.38, 5\/2, -0.4 in decreasing order.\nAnswer: 7.7, 5\/2, 1, -0.38, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 1 - 8 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a factor of 1002842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2880)*-4)\/(sqrt(640) + (sqrt(640) - sqrt(640)*-2*6)))**2.\nAnswer: 18\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - l + 3*l - 11, 4*r - 5*l = 7. Suppose 4*z - 1 = -5*d + 7, 4*d + r*z - 6 = 0. Solve d = -3*h - 3*k + 6, k = 5*h - k - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*d**2 + 4*d**3 - 7*d**3 + d**3 + 173*d**2.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 39*l + 14. Let n(i) = -87*i - 30. Let b(x) = 9*k(x) + 4*n(x). Suppose 0 = 2*t + 2, 8*v + 2*t = 3*v - 17. Calculate b(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80186, 80183, 80186, 80195?\nAnswer: 80210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1483 + 491 + 497 - 599*o + 495 + 178*o.\nAnswer: -421*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-742)\/(-105) + -7)*(-9)\/(-3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017646 to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**5\/20 - x**4\/24 + x**2. Let v be r(-1). Suppose -w - 1 = v*k, -5*w + 3*k = 4*k - 52. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-60)\/40)*(5\/(-5))\/4\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r - 1 + 24*r**2 + 2 - 25*r**2 + r**3.\nAnswer: (r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w = 11*w + x - 8*x + 329, 0 = 116*w - 112*w - 5*x + 235 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -293, -286, -279, -272, -265, -258?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8907 is divided by 98?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 163981 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7493580.\nAnswer: 2, 3, 5, 13877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -14 - -2 - 4 - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {h: 1, p: 1, m: 1, e: 8, u: 1}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*p - 260293 = 80*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/4719264 and -37\/80442?\nAnswer: 14157792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -2 - -1*(-40 + 14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 0*l - 17\/4*l**4 - 15*l**3 - 11*l**2 - 4. Differentiate v(s) wrt s.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u - 9938 + 9938.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*f = -21*f - 61. Which is the fourth biggest value? (a) 5 (b) -0.3 (c) f (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*j**2 - 3 + (3 - j**2 - 3)*(-2 - 2 - 1) - 4*j + 4*j - 2*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 80\/28*(-22862)\/(-40825)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -63, -218, -451, -756, -1127, -1558, -2043, -2576?\n\"Answer: j**3 - 45*j**2 - 27*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2) + -8 + (7 - 11).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -450 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/5 of a centimeter?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17 + 9 - -14)*1*(-16413)\/(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**4 + 2*c**2 - 2*c**2 + (8 - 13*c**2 - 8)*(5*c**2 - 2*c**2 - 2*c**2) + 1 + 4*c**4 - 1 to the form o*c**3 + t*c + q*c**2 + l*c**4 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1232 + 133055\/108. Let v = -689\/54 - x. What is the common denominator of -85\/246 and v?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*x - 4*m = -212*x - 8, 11*x = -5*m + 46 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26 + 29)*(3 - 4). Suppose 0*u = -5*u - 50. Sort u, -2, y in descending order.\nAnswer: -2, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 19*r**2 + 47*r - 234. Determine m(17).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12506.04 rounded to the nearest one hundred?\nAnswer: -12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 729.05 to the nearest ten.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -19051*g**2 - 10*g. Let u be s(-10). What is u rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8925)\/(-140) + (-3)\/4. Let f = -141 + 202. Let a = s - f. Solve 0 = a*i + 4*k - 8 - 18, 0 = 5*i + 2*k - 25 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**6\/6 - 249*m**4\/2 - m**3\/3 - m**2\/2 + 3894*m - 3563. What is the second derivative of y(p) wrt p?\nAnswer: 20*p**3 - 2988*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2510*s**2 + 110437*s + 136. Determine f(44).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 77947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 921795*g - 1545118?\nAnswer: 921795","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, q: 13}. What is prob of sequence eqq?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24273455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1116868.99908 + 1116893. Let t = b - 24. Round t to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-6))\/(2\/30). Suppose 0 = k - 4*k - 5*o - 140, -t*k + o = 224. Let d = k + 74. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**2 - 18*z - 44. Let n be l(-4). Is n greater than or equal to -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*w - 295*w + 66*w + 69*w + 79*w.\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-414)\/552*14\/(-147)*(-56)\/(-30)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.046 in 3, 4, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.55697 to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6467609*v**2 + 8*v + 100251812 wrt v?\nAnswer: 12935218*v + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*l = 3*y - 128, -3*y = 3*l - 84. Suppose -20 = 19*m - y*m. Solve -4*w + 3 = -0*i + 3*i, 4*i + m*w - 4 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -696089*b - 550396 wrt b?\nAnswer: -696089","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 28*a**2 + 60*a + 23. Calculate f(26).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(((-228750)\/3525)\/122).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2441 + -2444. Let j be 6\/(-14)*(-3)\/(-9). What is the closest to 1\/4 in -4, i, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 0.2. Let o = -1 + u. Suppose 0 = 5*m - 0*m - 2*y, 0 = 4*y - 20. Which is the closest to o? (a) m (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -393.\nAnswer: 392.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 8:22 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1681037314 to the power of 1\/2, to the nearest integer?\nAnswer: 41000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - w - w + 0. Let t(p) be the third derivative of -p**7\/5040 + 7*p**5\/20 - 8*p**2. Let k(d) be the third derivative of t(d). Calculate k(z(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 + 9 + 131 - (-1 - 16)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 4 = 12*q - 10*q, 0 = -4*q - u - 15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100010101 (base 2) in base 11?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30408 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 795 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5*t - 3880, -3*d + 2*t = -550 - 1779. What is d rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -13*k + 72. Sort 3, -5, k in increasing order.\nAnswer: -5, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5275, 41993, 141605, 335557, 655295?\n\"Answer: 5241*y**3 + y**2 + 28*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 255*i**2*w**3 + 4*i**2*w**2 + 45*w**2 wrt w.\nAnswer: 1530*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3224 divided by -287.\nAnswer: -3224\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*n - 4, 13*c - n = 12*c - 1. Solve 2*h + c*l = 18, 0 = 12*l - 10*l - 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*d - 78*d + 91*d + 21 to w*d + m and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fffjjjjfjj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - (sqrt(2299) - -5*(sqrt(2299) + -1))**2) + 0 - -5*-1*(2 + sqrt(2299)).\nAnswer: -82799 + 616*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233905320 divided by -649737.\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0086094 to 5 dps.\nAnswer: 0.00861","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*v = -141*v + 32 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 - 4319*x + 55808. What is y(13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12\/9055 + 99749\/108660. Let x(c) = c - 4. Let n be x(4). Find the common denominator of k and 81*(-1)\/(-20) - n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68))**2*4 + -2 - ((5 + sqrt(17)*1)**2 - (sqrt(833) + 0)**2)) + (-1*(sqrt(51)*-3 - sqrt(51)))\/(1*sqrt(363)).\nAnswer: -106*sqrt(17)\/11 + 1061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15537, 31072, 46605, 62136, 77665, 93192, 108717?\nAnswer: 124240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -247451\/17019 - 5527\/279. Let x be (-312)\/(-9) + 2\/(-6). Let c = x + d. Which is bigger: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 9) to base 7\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 48*m + 5*m = 6073590. What is m rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/107 (b) 0 (c) -2\/7 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n**2 + 10*n - 10. Let b be p(-11). Let y = -3389\/7 + b. Solve -3\/7*z**3 - 3\/7*z + 0 + y*z**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4936254 plus 0.2?\nAnswer: -4936253.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**7\/21 + b**4\/6 + 14*b. What is the third derivative of c(d) wrt d?\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5197, -5619, -6045, -6475, -6909?\n\"Answer: -2*v**2 - 416*v - 4779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -240 by 4016657.\nAnswer: -240\/4016657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 1\/2 (c) 0.084\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b + 0 + 0*b**5 + 0*b**3 - 1\/6*b**4 - 11\/30*b**6 + 0*b**2. Find the third derivative of d(h) wrt h.\nAnswer: -264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 + 0)*(1 - 3 + 3) + 2 + 1 - 2 + 4 - 4 + 1 + 4 - 8 - 2)*(-2 - 1 - 2)*(3*k**2 - 137 + 77*k**2 - 84*k**2).\nAnswer: -60*k**2 - 2055","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*z - 4. Let y = -15 - -19. Let d be 1 + y\/z - -3. Solve -6*n - 8 = -d*n, 5*q + 5*n = 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014928 to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 9*i**3 + 6*i**2 - 5*i - 5. Let r(m) = 10*m**3 + 5*m**2 - 6*m - 6. Let g(h) = 6*n(h) - 5*r(h). What is the third derivative of g(l) wrt l?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204 by -51.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 0.4, -0.5, -2\/143 in decreasing order.\nAnswer: 3\/2, 0.4, -2\/143, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5184833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ucccwcwwwnc. What is prob of picking 1 w and 2 c?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221070 (base 10) to base 5.\nAnswer: -24033240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 27*x**2 + 3*x + 74. What is u(-27)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -17027424 divided by 14\nAnswer: -8513712\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 376526 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20799?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r + 74. Let c(h) = -8*h - 221. Let u(p) = -17*a(p) - 6*c(p). Is u(7) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133222213 (base 5) to base 9.\nAnswer: 1245313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/42 + (-4)\/14. Let w = 0.8 - 0.7. Which is the closest to w? (a) -1\/9 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and (-3 - 0) + (-26)\/(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*j - 11, -5*j - 2*s + 1 + 30 = 0. What is the smallest common multiple of 105 and j?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 2 - 3)*(0 - 2 + 0) + 2 - 5 + 0 + (-1 - 4 + 3)*(-1 - 5 + 4) + 324 + 125 - 78)*(4*q - 3*q - 2*q) as z + j*q and give j.\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/15*(36\/(-4))\/(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, 294, 896, 1730, 2796?\nAnswer: 4094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 365378 a multiple of 611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -5454.705.\nAnswer: -5454.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 3*j = 1 - 0 - 4, -4*j = -28*w - 96 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5*d - 273, 132 = 3*k - 5*d - 74. Let n = k - 55. Solve -u + n = 3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 618071 and 458?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((417690\/408)\/(-117))\/((-1)\/(-4))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 9, m: 1, b: 1, u: 1}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-46*s + 20 - 47*s + 90*s)*(2*s - 5*s + 5*s) to d*s + m*s**2 + z and give d.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**4\/12 - t**3\/6 + 4*t - 122. Let v(x) = -4*x. Let o(l) = l. Let b(w) = -10*o(w) - 2*v(w). Calculate r(b(k)).\nAnswer: -4*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0446 or 2\/15?\nAnswer: -0.0446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20b76bc (base 13) to base 9.\nAnswer: -20706837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (80\/24)\/(2\/3). Let j = b + -1. Calculate the remainder when 12 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -1.1 (c) -1372\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552 is divided by 177?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 7866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 176331215?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1566103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -10070.0725 to the nearest 100.\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308442069?\nAnswer: 3, 13, 149, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1161, 1167, 1169, 1161, 1137?\n\"Answer: -l**3 + 4*l**2 + l + 1157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110308*w**4 - 3377*w**3 + 136*w**2 - 1159056?\nAnswer: -2647392*w - 20262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6466 and 2257?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 + 4 - 4*k**2 - 2 + 111*k - 102*k to r + w*k + b*k**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0*k + 16. Suppose 4*h + 18 = 3*z, 3*h + 12 = -k*z + 36. Let q be (z\/4)\/((-3)\/(-8)). Put q, -2, 5 in ascending order.\nAnswer: -2, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3486048 by -871512.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/8, 1\/2, -48, -3, -2.\nAnswer: -48, -4, -3, -2, -3\/8, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -637 + 764 - (64 + -2).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 3*x + 10 = 0, 99*q - 50*q - 50*q + 2*x - 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23960 (base 10) in base 6?\nAnswer: -302532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*x - 148*x - 209*x.\nAnswer: -509*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 290 and 141665?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 2*i + i. Let q(j) = -134*j + 11. Let h(d) = -231*d + 19. Let v(m) = -11*h(m) + 19*q(m). Determine z(v(l)).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15549191 and 203?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.0288598.\nAnswer: 0.1154392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -79 (b) 2\/293 (c) -0.4 (d) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8046836 and 7?\nAnswer: 8046836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -42, -38, -34, -30?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 3*i + 16, -2 = 4*i - 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-19) + 1518\/(-10488)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -0.041639, -0.1, 4?\nAnswer: -0.041639","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1341 - 1341.35. Sort 0.5, p, 4.\nAnswer: p, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**3\/6 + 13*n**2\/2 - 2*n. Suppose -395*w + 394*w = 11. Let y be z(w). Solve y*p - 5*p = -3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12386182 divided by -302102?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -134 - -222. Let j = 164 - z. Which is smaller: 77 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 72 = k. Suppose -89*d - 432 = -95*d. Let b be d*((-7)\/(-35))\/(3\/10). What is the highest common factor of b and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(2048)*1)**2.\nAnswer: 73728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 470151 + -3?\nAnswer: 47014a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 5*i - 40 = 0, -2*c + 4*i + 1 - 27 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from iiiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479338.\nAnswer: 2, 61, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 2:15 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67670808 divided by -24.\nAnswer: -2819617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 1074536?\nAnswer: 7521752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -60*m - 356. Let p be s(-6). What is the third derivative of 137*r**p + 110*r**4 - 7 - 4*r**3 - 261*r**4 + 8*r**2 wrt r?\nAnswer: -336*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9682087193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 747 = 2*n + 283, 2*u - 5*n = 982. Suppose -2*t + 5*a = -252, -3*t - 65 = 2*a - 481. Calculate the highest common factor of u and t.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1008 and 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 43*h**2 + h - 8. Let f = -65 - -68. Let i be w(f). Suppose 5*p = 3*q - 46 - 191, -5*q = -4*p - i. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x - 8*x + 20*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/1 - 3 - 1. Let y be 8\/t - (-1)\/(-3). Let h = -0.43 + 0.03. What is the nearest to -1 in y, 2\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(13)*-2*5)**2.\nAnswer: 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143 - -140. Suppose x + 2*x - 5*l = 1, -2*l = 5*x + 19. Let a be g\/(-6)*6 + x. Put 4, a, -2 in decreasing order.\nAnswer: 4, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 928 and 1504.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 299\/42 + -41\/6. Sort 5, 10, 2, l, 3 in decreasing order.\nAnswer: 10, 5, 3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2673\/(-567))\/(4*8\/(-224)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 89004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**2 + 6*h**3 - 6*h**3 - 13*h**2 + 8*h**4 wrt h.\nAnswer: 192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 + 0*y**2 - 4*y**3 - 2*y**2.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28747297.\nAnswer: 3539, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24558261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2*r + 3*r - 2*r)*((-51*r + 947 - 947)*(-31*r**2 + 51 - 51) - r**3 + 2*r**2 - 2*r**2).\nAnswer: 1580*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -124*z - 37. Let s be k(-5). Let o = s - 269. Does 42 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.15863\nAnswer: -0.79315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a day in minutes?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*c**2*h*l**3 - 273*c**2*h*l - 4*c*h + h*l**2 + 2*l**3 + 2*l**2 wrt c?\nAnswer: -20*h*l**3 - 546*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -71, -2339, -6123, -11429, -18263?\n\"Answer: -k**3 - 752*k**2 - 5*k + 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133852?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1947*h**2 + 9*h - 5. Is f(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 84\/97387909?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1314.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3439 at most as big as -3439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.1 (c) -2\/17 (d) 2121 (e) -4 (f) -6 (g) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*y + 223, 0*y - 150 = -2*y - 2*u. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(1 - 1 + 2*t) + 1 + 174*t - 160*t + 2 + 0*t + 2*t - 3*t.\nAnswer: 15*t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.05 + -4.05. Which is smaller: -139 or p?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -218, -330, -442, -554?\nAnswer: -666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 29834302.9 to the nearest 100000.\nAnswer: 29800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*y + 5*y + 55 = -593 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-65)\/(-2) + 21\/14 is divided by (-4)\/14 - (-258)\/21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 1:33 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 985 + -538. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 9:09 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*v - 4, -4*v - 3*s = -9*v - 10. Is (11\/(-5)*31)\/(v\/10) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, d: 2}. What is prob of picking 2 d and 1 w?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*x - 2*t - 42 = -153, 2*x + 3*t + 3 = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6080881?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 + -67. What is the second smallest value in -6, m, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109645315*d**4*q - 225727*d*q + 3*q + 4 wrt d?\nAnswer: 1315743780*d**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 179\/1679 - 4226674\/730365. Let r = 2\/145 + d. Which is bigger: r or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 - -80. Let z = -271 + 533. Suppose -276*d + 910 = -z*d. What is the remainder when d is divided by f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 4, l: 2, t: 1, i: 1}. What is prob of picking 2 l?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiiitt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58193713.\nAnswer: 19, 1637, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 13952730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43905501, 87810999, 131716497, 175621995, 219527493?\nAnswer: 263432991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = 2*l + 3*h - 8*h, -l + h - 121 = 0. Let s = 205 + l. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7683700 divided by 1?\nAnswer: 7683700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 7*p + y - 4214, -5*y = -5. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**4*p**2 + 6472*h**4 - 3829*h**2*p**2 wrt h?\nAnswer: -72*h*p**2 + 155328*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53.87 + -0.13. Let b = -53.68 - i. Let t = b - 0.3200116. What is t rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18678922?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -3.686\nAnswer: 3.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29 or 12?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**5 + 128*a**4\/7 + 405*a**3\/7 - 14*a**2 - 596*a\/7 + 24 = 0. Calculate a.\nAnswer: -2, 2\/7, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 296672 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 10*a**2 - 12*a + 7. What is y(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/((-20)\/(-4)))\/((-2)\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*b - 133. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*h + 23, 0*u - 3*u + 31 = 2*h. Let w be (1 + 3)*u\/6. Put -5, w, -1 in ascending order.\nAnswer: -5, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1059*o = -1044*o - 35565. List the prime factors of o.\nAnswer: 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 27\/(-14))*-4 - 23870\/(-1519). What is the highest common factor of 2564 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 14 = 2*b, 5*o + 39 = b + 5 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3227.\nAnswer: 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 175 - 172. Let g(y) = -y**3 + 8*y**2 - 6*y - 1. What is the remainder when 50 is divided by g(q)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 17*q - 17. Let h be g(11). Let o = h + -109. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s - 24 = 12*s + 33*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -131 - -1366. What is the remainder when q is divided by 204?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.9556 and -0.05117892.\nAnswer: -1.00677892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -12. Let f be 6\/(-4)*8\/3. Let a be (-4)\/(f*(-1)\/(-10)). Solve h*n = 5*l - a - 0, -5*l - 2*n = 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zlzdzlzzzvzdvsdzzzzz. Give prob of sequence vldz.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9840 = 44*r - 14*r. Let p = r + 543. What are the prime factors of p?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (294\/(-60))\/7*8\/14.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/102)\/((-702)\/1989) - (-5)\/(-52). Determine y so that -n*y**2 - 6\/13*y + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22666 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - 1. Let n(m) = -m**3 - 4*m**2 + 3*m - 5. Is n(t) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (8 - -1)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13361732 and 428.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 2552928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 86.64110795 to three decimal places.\nAnswer: 86.641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 5*n**4 + n)*(-4*n + 2*n + n)*(-20 - 12 + 140).\nAnswer: 540*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 - 6*j**2 - 18*j + 54.\nAnswer: 2*(j - 3)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-5 - sqrt(11))*-4 - 6*5*sqrt(11).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53878 and 4867.\nAnswer: 8458846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57116.66 nanograms to tonnes.\nAnswer: 0.00000000005711666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -36516*((-32)\/40 + (-42)\/(-90))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(425) + 3)**2.\nAnswer: -30*sqrt(17) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 999 is divided by 72.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/66)\/(118\/6 - 20)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2383395596 to the power of 1\/2, to the nearest integer?\nAnswer: 48820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/360 and -79\/108?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**5\/5 - 4308*k**4\/5 - 148592*k**3\/5 - 419908*k**2\/5 - 411282*k\/5 - 135656\/5 = 0.\nAnswer: -31, -1, 2188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388*q + 14128 + 7373 = -35*q + 4557 for q.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 825, -3, 0.\nAnswer: -3, 0, 825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k + 0*k + 1 - 2 - 9. Is 4 a factor of o(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*q - 159 = 169, -402 = -5*g - q. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 654?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -93 + 355 + 11*n - 102 - 87 - 93. Let d(c) = -6*c + 10. What is -5*d(p) - 3*j(p)?\nAnswer: -3*p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -3270497.\nAnswer: -4\/3270497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2907756 divided by -2?\nAnswer: -1453878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 3*k - 9 - 3 = -0*d, 97*d - k = -95*d + 187*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -14. Let t = -3 + f. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-1) + (-15)\/(-21). Let p = -0.06 + 5.06. Suppose 3*c + 0*c + 15 = 0. What is the biggest value in c, p, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 8*p**2 - 1. Let n be s(1). Suppose -n*o + 0 = -28. What is the least common multiple of 106 and o?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**6\/120 - 2*h**5\/15 - 5*h**4\/12 - 4*h**3\/3 + 53*h**2. What is v(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*q - 45 = 0, 4*q = 2*i + 3*i - 41. Sort i, 2, 7.\nAnswer: 2, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1203 + 1210. What is the least common multiple of 30 and d?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3521806 is divided by 651?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*r + 2 = 3*t, 0 = -4*r. Suppose -2032266 = t*h + 2*z, -h + 5*z + 4064536 = -5*h. Let d = h - -4516129. What is d rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 7*u + 6. Let g be 693\/210 + 3 + 33\/(-10). Give l(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15761 not equal to -1001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 37 - 45 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**6\/60 - 2*j**5\/15 + 5*j**4\/8 + 5*j**3 - 8*j**2. Is z(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56925 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -148\/191 + -11833\/4202. Find the common denominator of 13\/12 and z.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s - 2*s**2 - 3*s + (4*s + 2*s - 5*s)*(0 + 2*s + 0) - 18*s**2 - 208 + 208 in the form r*s**2 + y + a*s and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(-13\/4)*(g**(-1))**(8\/7) assuming g is positive.\nAnswer: g**(59\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f. Let a(v) = 38*v - 3 + 37*v - 72*v + 0 - 4. What is y(a(w))?\nAnswer: 3*w - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 28, 57, 90, 127, 168?\n\"Answer: 2*c**2 + 23*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6 = -5*j + 27, 0 = -2*j - 5*v - 18. Suppose 0 = -2*o - o + 3*r + 3, 5*o - 5 = -4*r. Solve -a + o = -j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 77.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwpnwwuw. What is prob of picking 1 w and 2 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**4 + 770720*r**3 - 37119416128*r**2 - 594058644480*r - 2376431898624 = 0.\nAnswer: -8, 96348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 995879 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 35*f + 4. What is the lowest common multiple of 36 and x(32)?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 897.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1257 - 219.5257. What is g rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 15) to base 9\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2060225?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-10))\/(-4)*11\/77*7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 970 is divided by 46?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2389 + 846*a + 686*a + 489*a + 119*a + 118*a wrt a?\nAnswer: 2258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1330154 (base 7) to base 11\nAnswer: 10a82a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000417359784 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x - 2*g + 11, 0 = -5*g + 5. Suppose 3969*i + 3*i**3 - 189*i**2 + 10*i**3 - 27783 - 13*i**3 + 3*i**x = 0. Calculate i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 91562.\nAnswer: 457810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 4*l - 5. What is w(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -25*u - 13. Let b(v) = -4*v - 2. Let d = -138 + 99. Let n be (33 - 7 - 14)\/2. Determine d*b(x) + n*a(x).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -19, -4, 1, -608, 3 in decreasing order.\nAnswer: 3, 1, -3, -4, -19, -608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1298 + 704*w**2 - 647 - 651)*(w - w - 2*w**2 + (2*w + 0*w + 0*w)*(-w - w + w) + 2*w**2 - w**2 + w**2).\nAnswer: -1408*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000036213 to 7 decimal places.\nAnswer: -0.0000362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - a**2 + a + 1. Let g(x) = 2*x**3 + 2*x**2 + 1. Let p(j) = 14*j**3 + 14*j**2 - 5*j + 3. Let d(h) = 6*g(h) - p(h). Determine -d(q) + 3*s(q).\nAnswer: -q**3 - q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 89378062609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, q: 5, b: 1, p: 3, g: 7}. Give prob of sequence ppqb.\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n*p*z**2 + n*v**2*z**2 + 6*n*v**2*z + n*v*z**2 + 2*n*z - p*v*z - 3*p wrt z.\nAnswer: 4*n*p + 2*n*v**2 + 2*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5 - 2*b**4 + 2*b**3 + 2*b**2.\nAnswer: -2*b**2*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-6) + 0)*86 + 2. Let o = 353 - c. Let k(p) = -153*p + o*p - 152*p. Let y(w) = 9*w. Determine y(k(z)).\nAnswer: 27*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/15874 and -63\/3152.\nAnswer: 25017424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30731.\nAnswer: 79, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emrj when four letters picked without replacement from {m: 3, y: 2, c: 6, r: 2, j: 5, e: 1}?\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 o, and 1 j when three letters picked without replacement from {o: 1, k: 5, u: 2, j: 1, y: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1474 - -1479. Sort -1, y, 4, -6 in decreasing order.\nAnswer: y, 4, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) -3495 (c) 2\/7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2211 (base 3) to base 16.\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**4\/12 + 6*d + 4. Let i(l) = l**2 - l**2 + l**2. What is r(i(o))?\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 5, 8, 48?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/9 + 250*g\/9 = 0. What is g?\nAnswer: -125, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-70)\/28*2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.3 + 0.3. Let t = 308 - 323.7. Let z = 16 + t. Which is smaller: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a + 30130 = 30106. Let l(i) = 1 - 1 - 5*i. What is the remainder when 22 is divided by l(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 1)*(2*k - 2*k + k) - k - 2 + 2.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(1*1\/(-3)). Let c(f) be the first derivative of 3*f**3 - 1 + f**2 - 4*f**3 - 2*f + 0*f**3. Let d(k) = 4*k**2 - 3*k + 3. Determine l*c(j) - 2*d(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7ded0 - 49?\nAnswer: 7de86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3) - 26\/(-39). Suppose j*t - t - 207 = 0. Let b = t - -350. Calculate the remainder when b is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*j - a - 4 = 0, -a - 14 = -3*j. Suppose -8*p + 4*p + i + 4 = 0, 4*i + 4 = 4*p. Solve p = -j*w - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 8*y + 10. Let g be s(-12). Let k = g - -115\/3. Let q = -0.07 + 0.37. Which is the biggest value? (a) k (b) q (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/34)\/(1\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14945 divided by -7\nAnswer: 2135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - a**2 - 1)*(1 - 2 - 1)*(3 - 3 + a + 6).\nAnswer: 2*a**3 + 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 354 - 141 = 0. Let d = z - 162. Solve -3 - 22 = 2*y + 5*g, -2*y = d*g + 19 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8031*v*z**5 + 20102*v*z**2 wrt z.\nAnswer: 481860*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 20 = 3*o, 45*y = 12*o + 46*y + 67 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 16*r**2 + r - 14. Let x be y(16). Solve 3 = -2*z - v - 2, x = -2*z - 2*v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 460*t + 25. Is m(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 divided by -6?\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(0 - 2*o**3 + 0) - 324*o - 41*o**3 + 654*o - 322*o + 3*o**3 - 3*o**3 + 2*o**3 + (-3 + 2*o**2 + 3)*(-o + 0*o + 2*o) + 1 - 1 - 3*o**3.\nAnswer: -44*o**3 + 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45862 + -20109. What is the thousands digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26715\/6850*(-100)\/(-15)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7017864 or -7017868?\nAnswer: -7017868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -411.1 to the nearest ten.\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/2 + 43*d\/2 + 95.\nAnswer: (d + 5)*(d + 38)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 4*g + 20, -3*g = c - 7*g. List the prime factors of (c\/(4\/(-3)) - -515) + 4.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 229769297 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1230*l**2*m**3*w**3 + l**2*m - 2*m**3*w**3 + 4*m**2*w**3 - 284*w**3 wrt l?\nAnswer: -2460*l*m**3*w**3 + 2*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514419426?\nAnswer: 2, 3, 23, 839, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20401.765 rounded to the nearest 100?\nAnswer: 20400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 12) to base 11.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-201*f - 1072 + 998 + 96*f + 66*f)*(4 - 3 - 3).\nAnswer: 78*f + 148","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -17*n**3 + 5*n - 5. Let w be f(4). Let a = -628 - w. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 402427 + -269124. Let w = -70303 + y. What is w rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -786654 divided by 22?\nAnswer: -35757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 8. Let j be f(-5). Let g(i) = -i**3 - 5*i**2 - i - 1. Let x be g(-5). Suppose 16 = x*u + b, -u = b + b + j. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o - 15 = 0. Suppose -432 = o*y - 8*y. Suppose -4*p + t = -y + 12, 88 = 3*p + 2*t. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 2*l - 3, 1991*r - 1994*r - 3 = 3*l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 156*k - 1991. What is f(14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37920 (base 10) in base 5?\nAnswer: 2203140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 190 and 58618652099.\nAnswer: 58618652289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 9:52 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-15))\/(((-40)\/25)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -p - 0*p + 100, 0 = 4*p + 12. Let u = k - 38. Let n be 12 - (0 + 4 + 0)\/(-4). Calculate the highest common factor of n and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 13724?\nAnswer: 150964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**1*y**(-2\/13))\/(y**6\/(y\/((y\/(y*y**(4\/3)))\/y*y))) assuming y is positive.\nAnswer: y**(-149\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23469 is divided by 74.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415721163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -v - 4*v. Let j = 8 + v. Let m(a) = -9*a - 1. Let x(o) = 4*o. Determine j*x(y) + 2*m(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.37? (a) -1\/4 (b) -1\/2 (c) -1\/24 (d) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -200539\/47 >= -4266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 4*l + 6, -2*f + l + 5 + 0 = 0. Suppose k - 7 = f. Suppose 29*v = 63 + 198. Calculate the greatest common divisor of v and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 17087.2 millilitres?\nAnswer: 17.0872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42*g*n - 1017*g + 753*n**2 + 7 wrt n?\nAnswer: 42*g + 1506*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (-1 - -1 - 1). Let x = q - 0. Let z = 8 + x. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**44\/(i**0)**(-31))\/(i**6*i*i\/(i\/((i\/(i*i**4))\/i))*i*i\/i**2*i*i**(4\/3)) assuming i is positive.\nAnswer: i**(-145\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 27*y. Let l(k) = k - 602. Calculate l(m(v)).\nAnswer: 27*v - 602","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8127 - 8127 - 220*q)*(3 - 3 - 2).\nAnswer: 440*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**3 + 216*x**2 - 2688*x - 6272 = 0. Calculate x.\nAnswer: -2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - sqrt(68)*-2)\/sqrt(4) + sqrt(2057) + -1 + ((sqrt(612)*-1 - sqrt(612)) + -5 + sqrt(612))**2.\nAnswer: 74*sqrt(17) + 636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -10. Let c = -25 - -28. Suppose -q - 3 = -3*t - 18, 0 = -2*q + t + 30. Solve 3*x + m + c = 2*x, -5*m = -p*x + q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4522*r - 7 + 748*r + 7.\nAnswer: -3774*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 45*w + 25 + 41*w + 52*w + 76*w.\nAnswer: 215*w + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 78*u + 6888. Calculate w(131).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 + f + 32402. Let z be u(0). Suppose 8902 + z = 8*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 19. Let b be v(-9). Suppose 7*r - 3*r - b = 0. Suppose -q = -0*q - f - r, 3*f = -4*q. Solve 0 = q*i + 6 - 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34414\/(-223691))\/(18\/(-988)).\nAnswer: 76\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by -6024.\nAnswer: -5\/1004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*m**3 - 4 - 1794*m**3 - 20*m**3 - 548*m**3 + 2 to the form y*m**3 + c + u*m**2 + p*m and give y.\nAnswer: -2320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -125*r + 1372. Give v(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 2*w - 70, -2*p - 4*w + 96 = 2*p + 32 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = 3*b - 4*h, 208 = 2*b + 2*b - 2*h. What is the third derivative of -u**5 - 2*u**5 + 4*u**4 + 0 - 2*u**4 - b*u**2 + 2*u**5 - 3 wrt u?\nAnswer: -60*u**2 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + r - 1 + (-45 - 75 - 101)*(7*r - 3*r - 2*r) to the form m + o*r and give o.\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -4.4. Let r = -19015692.59999955 + 19015693. Let z = k - r. What is z rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3301 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 7. Suppose -94 = -4*c + n*u + u, -3*c = -u - 68. Let g(h) = h**2 + 239*h - 3538. Calculate the least common multiple of g(14) and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**12\/i)\/i)**(-5\/14) assuming i is positive.\nAnswer: i**(-25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62\/3 - 21. Let d = 3 + 4. Let x = 7.4 - d. What is the closest to 1 in x, -2\/21, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 1)\/(-4 + 5). Factor a**2 + m + a**3 + 5 - 5.\nAnswer: a**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 7:46 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 10 = -q - 4*q, 0 = -5*q + r + 10. Suppose 0 = -q*x - x + 300. Is 26 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (612*j**2 - 21678*j + 21678*j)*(-2*j + 1 - 1) - 3*j**3 + 0*j**2 + 0*j**2.\nAnswer: -1227*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 25. Let n(l) = -2*l**2 + 7*l + 7 + l**j - 4*l**2. Let q(s) = -3*s**2 + 4*s + 4. Give -4*n(g) + 7*q(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 121280 and -0.18.\nAnswer: -21830.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32*(-14)\/1120)\/(1\/875*1). What is the highest common divisor of 300 and p?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 215? (a) 13 (b) -2\/7 (c) -4\/9 (d) 5 (e) 1 (f) -3\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.9 + 3. What is the nearest to t in 2\/5, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 19 = 3*k, 5*k = -3*x - 2 + 31. Let r be 0 - x\/((-65)\/(-120)). Let i(o) = o**3 + 24*o**2 - 3*o - 37. What are the prime factors of i(r)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55169846?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13568590000 + i**2 - 13568590000.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o - 29*o - 87 - 38*o - 12*o - 102. What is the remainder when 103 is divided by w(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -7*g**3 + 4*g**2 + 3*g + 4. Let n(z) = -6*z**3 + 3*z**2 + 2*z + 4. Calculate -4*n(v) + 3*x(v).\nAnswer: 3*v**3 + v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 431332, 862660, 1293990, 1725322, 2156656?\nAnswer: 2587992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 - 8*r**3 + 4*r**2.\nAnswer: 4*r**2*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*1)\/sqrt(7) - sqrt(24))\/((sqrt(288) - sqrt(288)*-2 - sqrt(288)) + sqrt(288)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -29. Suppose -k = -2*k + 12. What is the greatest common divisor of m and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (86\/(-18) - -2) + (-12)\/54\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116600 divided by 5.\nAnswer: -23320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 0*l + 0 + 2*l**2 + 1\/24*l**4 + 4\/3*l**3. What is the units digit of g(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000101605713 rounded to seven decimal places?\nAnswer: -0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 4*l = 2*m, -4*m = -4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 609 = -15*j. Let a(b) = -3*b + 123. What are the prime factors of a(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*u**2 + 17 + 11*u + 3*u - 14*u wrt u.\nAnswer: -34*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-20\/3)\/(c*c\/(c\/c**(-23))*c) assuming c is positive.\nAnswer: c**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6419 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9 - 0)*3\/(-9). What is the units digit of (0 - r)\/((-15)\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*m - 156 = -247*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (1 + 15 - 10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wel when three letters picked without replacement from lwdwelsweedlwevwwlwl?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of u*w**3 + 30*u*w - 385*u - 786*w**3 - w**2 - 9*w wrt u.\nAnswer: w**3 + 30*w - 385","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -18*(-1 - 0)\/2. Let i be ((3\/(-6))\/(27\/48))\/(12\/(-54)). Suppose i*g = t*g - 6*g. Is g < 24\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (4 + -2 - 1) - -4. Suppose 0 = g - r*z + 9*z - 45, -20 = 5*z. What is the highest common divisor of 91 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6929551\/92 + 75322. Let m be (4 - 5)*1\/(-23). Let y = l - m. What is the biggest value in y, 5\/3, -0.2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3948857611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from {t: 1, g: 1, l: 8, b: 2, s: 5}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from {b: 2, l: 1, a: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2726561459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p - 21. Let u be x(-14). Let o = u + -11. Calculate the greatest common factor of 80 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 172.8 - 176. Which is the closest to -0.1? (a) -3 (b) -1\/3 (c) -3\/4 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -165*t**2. Let q(k) = -1414 + 1414 + k. Determine b(q(h)).\nAnswer: -165*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-5) + 0)*5. Suppose 0*s + 3 = x*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 - 3*l. Let y(x) = 2*x - 30. Let c be y(14). Let o(v) = v**3 - 2*v. What is c*b(p) + 3*o(p)?\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7047 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 11:47 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 5*m + 2*b, 2*m = 2*b - 7*b + 43. Calculate the remainder when 118 is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -132 + 144. What is the highest common factor of v and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -53*m. Let g(w) = 30*w. Let h(t) = -25*t. Let s(y) = -4*g(y) - 9*h(y). What is -9*p(z) - 5*s(z)?\nAnswer: -48*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g + 1 = -q, 3*g - 5*q - 5 = 0. Suppose -1 + g = -b. Let k(j) = -17*j + 1. Let f(x) = -15*x + 1. Let v(w) = f(w) - 2*k(w). Determine v(b).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m + 21. Give x(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 55*i**5 + 422450*i**4 - 883530*i**3 + 115340*i**2 + 729835*i - 384150 = 0?\nAnswer: -7683, -10\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**18)**46*(i*i\/i**(1\/17))**15 assuming i is positive.\nAnswer: i**(14571\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3751 = 3*w + 2*d, -2*w - 6249 = 3*w + 2*d. Let a = w - -891. Let p = a - -665. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12515 - -12515. Solve 5*z + 5*w + 40 = d, 5*z - 52*w = -47*w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1865062911 and 3723?\nAnswer: 3723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/(13\/(-39))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1865*i**2 - 110065*i + 1770 = 0.\nAnswer: 6\/373, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1780 - -2330. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -25021?\nAnswer: -25020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448336557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28.6 + 26. Let y = 2 + r. Let q = -0.60000137 - y. What is q rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -222 + -2521720?\nAnswer: -2522142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -5 - (-3 + -13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.877*-2.3.\nAnswer: -18.1171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 665009 and 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120012220222 (base 3) in base 2?\nAnswer: 1001001001000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*x - 2*x - 19 = 0, -4*o + 5*x = -32. Suppose 3838*g - 2284*g - 93240 = 0. Calculate the lowest common multiple of 29\/o - (-2)\/(-3) and g.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + z + 17 = 5, 15 = 5*z. What is the remainder when 31 is divided by (-3*(-1)\/6)\/(g\/102)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 6*d**2 - 6*d + 3. Let i be w(-7). Let j be (-96)\/((-38)\/8 - i). Let x = j + 83. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1033222033?\nAnswer: 19, 31, 71, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g + 151 + 3. Let h = 5 + g. Let b = h - -18. What is the highest common divisor of 10 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 5 + (-1 - 2 + 1)*(-2 + 5 - 2))*(-2 - 2*c + 2).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/8 (b) -13 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*j - 3*y - 62, 5*j = -4*y + 145. Is 29 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j - 4. Suppose -7*v + 54 = 187. Let i = 52 + v. Let g = i - 37. Let a(c) = -8*c - 11. Give g*a(n) + 11*b(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f = -4*t - 10, 0 = -4*f - 4*t. Suppose 5*c + 1 = 4*a, 4*a - 2*c = -15 + 1. Let v be (-2)\/12*2*a. Solve -f*z = 5*n - v*z - 8, -2*n = z - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2. Suppose -3*a = -4*a + 6. Let y(p) = -a - p + 6. Calculate y(l(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1522501969?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*k - 15. Suppose r = -2*p + 5, 4*p - 4*r = k*p + 25. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2467*l - 19*l**3 - 13543*l**2 + 13543*l**2 - 2467*l.\nAnswer: -19*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.6976 - 0.6976. Sort 14.2, -2\/3, c in ascending order.\nAnswer: -2\/3, c, 14.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -20 - 1\/24*l**4 + 0*l**3 + 2*l**2 + 1\/30*l**5 + 1\/120*l**6 + 0*l. Determine v(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -516*w - 24857. Give a(-48).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 403*l**3 + 1957*l**3 + l**2 + 47*l**3 + 198*l**3.\nAnswer: 2605*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 3.832158 years in millennia?\nAnswer: 0.003832158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 102.3 - 86. Round g to zero decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 600 and 10600.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94.42 + -100. Let t = u - -7. Let x = t + -1.4. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1094.6 - -0.04?\nAnswer: -1094.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/4 - 1207659*w.\nAnswer: -3*w*(w + 1610212)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(104)*-3)\/(sqrt(1152)*1).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -692262296*o**2*u - 114*o*u + 2614273*u wrt o.\nAnswer: -1384524592*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 383, 1984, 4657, 8408, 13243?\nAnswer: 19168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -503 + -3bb2?\nAnswer: -44b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4692.159t to nanograms.\nAnswer: 4692159000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(1 + (-10)\/8). Suppose -713 = -4*t + w, 2*t + w = 515 - 166. Let z = 179 - t. Solve -z*n = -l*n + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4060886 is divided by 1353609?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*p + 8 = 0, p + p + 20 = 5*f. Suppose -3*v - 5*z = -13, 0*v - f*v + 2*z = 2. Solve 11 - v = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 - 2*q**4 + 0*q**4 + 40 + 3*q - 4*q - 97 to g*q**4 + l*q**3 + b*q**2 + x + s*q and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 319 - 323. Put 5, -12, m in decreasing order.\nAnswer: 5, m, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**6\/60 - 3*l**5\/20 + l**3\/6 + 372*l**2. Determine q(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 49*c = -44*c - 17206, 0 = -y - c + 5736. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*i**3*r + a**2*i**2*r**2 - 4*a**2*i**2*r - 7*a**2*r + 4*a**2 - a*i**2 + 12855*i**3*r**2 wrt r.\nAnswer: 2*a**2*i**2 + 25710*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8891?\nAnswer: 17, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**5 + 1965603*d**4 + 13759377*d**3 - 5896803*d**2 - 45209310*d - 27518736 = 0 for d.\nAnswer: -7, -1, 2, 655208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -331724 divided by 82931?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3922 - -6795. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**3 - 5536*q**2 + 11069*q - 5534 = 0.\nAnswer: 1, 5534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*2\/4 - 4128. Let d be 25946\/44*7*-1. Let m = d - c. Find the common denominator of -65\/12 and m.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z. Let x be s(-3). Solve -m + x*m = -10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-320)\/16)\/5)\/1*(-2)\/18.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3414418.2us to hours.\nAnswer: 0.0009484495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k**2. Let m(y) = y**3 - 8*y**2 - 7*y + 1. Let u be m(9). Let a(o) = 17*o + 17*o + u*o - 50*o. Determine a(t(i)).\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, b: 1, o: 2, k: 9}. Give prob of sequence sobo.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4083498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -69 + 542?\nAnswer: 4d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 36*u**3 + u. Let d be b(-1). Let h = d - -64. Suppose -4*n = -2*f + 11 - h, 2*n = -5*f + 20. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-16)*2 + (-40198)\/(-8)?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2 - 4*r - 565. Let d(t) = -15*t**2 + 14*t + 1693. Let q(s) = 2*d(s) + 7*z(s). Let v(o) = -3*o. Determine v(q(x)).\nAnswer: 6*x**2 + 1707","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41 - 14 - 22)*(9 - 9 - 3*s) to d + t*s and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5, -b - 10 = 4*b + 3*q. Let f be (-112)\/(-49) + 2\/(-7). What is the third smallest value in b, f, 4\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 871*s - 1698*s + 1060*s. Let n(x) = -2*x - 4. Let c(j) = -2*j - 5. Let i(t) = -4*c(t) + 5*n(t). Determine i(z(u)).\nAnswer: -466*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 8. Let d(h) = p*h**2 + 6 - 5*h**2 - 2*h**2 + 4*h**2. What is d(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 5:29 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 10. Does 8 divide r(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 - 8. Suppose -j + 14*j = z. Suppose -5*m + j*w + 78 - 11 = 0, 2*m + w - 32 = 0. Solve 0*f + 4*o = 4*f - 16, -3*o - m = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9.9442388915 and 8.\nAnswer: -1.9442388915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 336608999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -663333403?\nAnswer: -663333403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0*1\/2)\/2. Suppose -4*k + 20 = -t*k. Suppose k = 2*r + 3*q, 2*q - 14 = r - 5*r. Solve 2 = r*s - 2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1311, 10575, 35717, 84675, 165387?\n\"Answer: 1323*n**3 + n**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 32 = 7*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 0.4, -3\/5, -169, -20, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 87688298, 175376588, 263064878?\n\"Answer: 87688290*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/59 (b) -1\/4 (c) -2\/309 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -517 > -534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ac when two letters picked without replacement from oggoaoomac?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y**4 + 0*y**4 - 4 + 10 - 7 + 21*y**3 to q + h*y**3 + b*y**4 + x*y + r*y**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30186 and 4032.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 27 = 11. Let s = -8 + 13. Suppose -o - 5 = -s*o + d, -2*o - 20 = z*d. Solve o = -8*h + 3*h - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1911, -11430, -27295, -49506, -78063?\n\"Answer: -3173*m**2 + 1262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75820 is divided by 326.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1528, 3058, 4588, 6118, 7648, 9178?\n\"Answer: 1530*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 261 + -360. Let v = p - -109. Solve 2*i + v = 7*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 3108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9766938 rounded to the nearest ten thousand?\nAnswer: 9770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4870, 4850, 4778, 4630, 4382, 4010, 3490, 2798?\nAnswer: 1910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y = 33*y - 470. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f - 3275 = 7703. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-30)\/(-9))\/(-5) + (-55)\/(-15). Suppose -5*z - 18 = -9*z - 2*l, -4*l = -4. Put 112, -1, d, z in descending order.\nAnswer: 112, z, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 5*u**2 - 4*u - 3. Suppose 0 = 3*c + 3*z - 3 - 0, -3*c + 4*z = 32. Let l be h(c). What is the remainder when 19 - 12\/(0 - l) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/(-76)*((-2)\/10)\/((-9)\/(-15))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 457*m**3 + 2*m - 119 wrt m?\nAnswer: 2742*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 43556334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 5 + 13\/12*p**4 + 3*p - 57\/2*p**2 + 0*p**3. What is the first derivative of y(n) wrt n?\nAnswer: 26*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 2) to base 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -7*w - 5*w + 2*w. Solve -3450*t + 3447*t = w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -4290, -3 in decreasing order.\nAnswer: -3, -14, -4290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -713 times 91.969?\nAnswer: -65573.897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6762.014804 + -6762. Round s to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7627544 - 7627544.11999999. Let a = 0.24 - 0.36. Let f = t - a. What is f rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -335, -1343, -3023, -5375, -8399?\n\"Answer: -336*i**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 3 (b) 0.01 (c) -0.7 (d) -160 (e) -6\/5 (f) 1 (g) -0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 7573\/193295?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -116*y - 290. Let s(o) = 1. Determine -290*s(t) - x(t).\nAnswer: 116*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + -1. Suppose 0 = -2*h - 34 - 0. Let g = s - h. What is the greatest common factor of g and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1337475, 1337450, 1337425, 1337400, 1337375?\n\"Answer: -25*s + 1337500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l - 18. Let b be h(-14). Let n(d) = -d**3 + 11*d**2 - 11*d + 12. Let j be n(b). Sort j, -0.03, -1 in descending order.\nAnswer: j, -0.03, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1686 - 6819129\nAnswer: -6820815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20, 65, 140, 245, 380?\n\"Answer: 15*c**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2\/(k\/(k**(2\/5)\/k))*(k**(4\/7))**(-19\/2))**40 assuming k is positive.\nAnswer: k**(-1408\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-44) - (-666)\/(-495)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 810 is divided by 215.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 0 - (7 - -4)) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10418207.24946344 + 10418208. Let c = -0.2505365 + j. Let r = -0.5 + c. What is r rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -90, 2, 1\/9, -1 in ascending order.\nAnswer: -90, -3, -1, 1\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221803.56us to minutes.\nAnswer: 0.003696726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 0*m**3 - 1\/480*m**6 + 1\/24*m**4 + 0*m**5 + 0 + 0*m - m**2. Solve d(l) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - m**2 - 2*m - 1. Let l be c(-1). What is the units digit of (1\/(-3))\/(l\/33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69 + 77. Let w(u) = 26*u + 2. Let y(b) = 17*b + 1. Let v(i) = f*y(i) - 5*w(i). What is the first derivative of v(m) wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i + 3. Let p(x) = -4*x + 16. Let z be p(7). Is 8 a factor of g(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - l + 3 + (-l + 3*l + 0*l)*(-5 + 3 + 0))*(6*l**2 - 11*l**2 - 13*l**2) in the form y*l**3 + r*l + c + m*l**2 and give y.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 880518690?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/5)\/(6*4\/(-240)). Solve -5*m - 7 - 8 = -5*s, -i*m - 12 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1009*i = -329*i + 21408 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(130)*-4 - sqrt(130))*-5)\/(sqrt(30)\/sqrt(3)*-4 + 2*sqrt(90) + sqrt(90)))**2*-2.\nAnswer: -10400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -3, 454 in descending order.\nAnswer: 454, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -64*n - 3. Calculate v(-2).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 7:26 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 2*g**6\/15 - 6*g**5\/5 + 13*g**4\/3 - 8*g**3 + 8*g**2 - 4*g. Suppose t(q) = 0. What is q?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 6*s - 20, 2*s = 2*k - 322 + 338 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -42. Suppose a*m + 3*i - 2*i = -43, -6 = 2*i. What are the prime factors of 18\/((m\/3)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -9*m + 3. Let k = -3 - 2. Let r(x) = 0 - 3 + 5*x + 1. Let f be (-1 + 0\/3)*3. Determine f*g(u) + k*r(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 4*k**2 - 4*k - 1. Let v be a(6). Let g be -1 + 4\/2 + v. Let s be (1 - (-87)\/g)*-4. Which is bigger: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44300 is divided by 1919?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.51 + -0.51. Which is the second biggest value? (a) -1\/2 (b) 5 (c) w (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f + 2. What is r(8)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, -103, -2, -116, -2\/19?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-48) - 1\/((-60)\/(-22))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.4 - -6. Let l = r - -6. Which is greater: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*t - 96*t + 32 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/(-56))\/(31\/(-186)))\/(-11 - 3).\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 14*g + 7. List the prime factors of q(12).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -15*c**2 - 60*c - 2. Determine d(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 56, 0.5, 2\/7, 0.4, -1\/7, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3*h + 47, -3*b + 3*h = -0*b - 33. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = u - 872, -442 = 2*j - 6*u + 7*u. Let h = 349 + j. Calculate the highest common divisor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14213 (base 5) in base 16?\nAnswer: 49f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 956 and -1.\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*(sqrt(336)*1 + sqrt(336)))\/(sqrt(12) + sqrt(12) + -1*sqrt(432)))**2*4.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4419, 17688, 39805, 70770?\n\"Answer: 4424*m**2 - 3*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1885 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 994*v + 999. Let m be n(-1). Solve -4*j + m*x - 25 = 0, 0 = 3*j + 3*x - 16 + 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7\/96207, -5 in decreasing order.\nAnswer: -7\/96207, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6105312, 12210630, 18315948?\nAnswer: 24421266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/(s\/(s**(-16)\/s)))*s)\/s)\/s*(s\/s**14)\/s*s\/s**1*s*(s*s\/(s\/(s*(s*s**(-1\/18)*s)\/s*s)))\/s assuming s is positive.\nAnswer: s**(107\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30958 + -247297\/8. Let t = f - 43. Calculate the common denominator of 32\/7 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -13. Let w = t - 6. Which is the third biggest value? (a) 2 (b) 1\/9 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80237432 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 p(c) = c**2 - 66*c - 3002. Let d be p(97). Sort d, 9, -5, 4 in descending order.\nAnswer: 9, d, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*l - 26. Let x = l - 7. Differentiate 4*f - x - 2*f + 3*f**3 - 2*f with respect to f.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223212 (base 4) in base 3?\nAnswer: 10211100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0119 - -0.2689. Let t = d - -4.743. Which is the closest to -2\/5? (a) -0.11 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/2))\/w**(-1\/3) assuming w is positive.\nAnswer: w**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 6*s**2 - 3. Let x be t(6). Which is the second smallest value? (a) x (b) -1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6647 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14132324 - -10?\nAnswer: -14132314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 r when three letters picked without replacement from {r: 4, e: 3, y: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 1 + -1 + 61 + -64. What is the nearest to -1 in 4, 1\/2, 3.9, h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 55?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15.9 and 111?\nAnswer: 95.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 389613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3229*k**3 + 5*k**2 - 6*k - 10. Let h = 577 + -574. Let t be p(h). Round t to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -24*x + 739. Let i be z(31). Put -7, i, 6 in increasing order.\nAnswer: -7, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288621 < 288616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-20) - 45\/4 - 2060\/(-412). Let u = 14 + -10. Which is bigger: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2135879 is divided by 1224?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 0 + 2. Let x be ((-3 + 3)*d)\/2. Let t(h) = h**2 - h - 10200000. Let o be t(x). What is o rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 23*u + 110 = -18*u, 4*s + 3*u = 90. Solve -4*c + s = 2*m, -m - 7 = -4*c + 11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/18 and -26\/27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 536733.8km in millimeters?\nAnswer: 536733800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7387187 * -0.5.\nAnswer: 3693593.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2595 - 2235*s - 2595)*(0*s + s + s)*(-3 - 1 + 2)*(1 - 6 + 4).\nAnswer: -8940*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.1 - 14.2. Let n = q - -5.1. Is n greater than 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.29860492 * 4\nAnswer: -1.19441968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17687902 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2312 (b) 2\/3 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 128033707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 3*i**2 - 5*i + 1. Let k(j) = -12*j + 67. Let l(c) = -7*c + 40. Let v(q) = -6*k(q) + 10*l(q). Give 3*t(g) - 8*v(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*j + 433*j + 119*j**2 + 99*j**2 - 211*j.\nAnswer: 218*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 1 - 1)*(2*i**2 + i**2 - 2*i**2) + 5 - 5 + i**2 + (-3*i + 0*i + 4*i)*(2*i + 2*i - 3*i).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}