diff --git "a/data/dm_maths/full_data/1521_11255.jsonl" "b/data/dm_maths/full_data/1521_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1521_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let j be (3\/(-4))\/(18\/(-48)). Calculate the greatest common divisor of 10 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24*((-11)\/(-3) - 3). Does 7 divide (b\/6)\/(6\/45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*i - 0. Find the third derivative of f**5 - f**i + 3*f**5 + 3*f**2 wrt f.\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -7*d**2 - 2*d + 4. Let v(k) = 6*k**2 + 2*k - 4. Let s(r) = 5*t(r) + 6*v(r). Suppose -2*l - n = 3*l + 30, 2*l + 5 = n. Determine s(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 690, 2448, 5358, 9420, 14634, 21000, 28518?\n\"Answer: 576*p**2 + 30*p + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 18\/5 of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 4*n - 2. Let y be i(-5). Let r(a) be the first derivative of 1\/4*a - 3 + 1\/3*a**y - 5\/8*a**2. Factor r(j).\nAnswer: (j - 1)*(4*j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-393864)\/(-30) + (-1)\/(-5).\nAnswer: 19, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23110616 and 119?\nAnswer: 161774312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(130)*-1)\/sqrt(10).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111101010011122 + 12?\nAnswer: 111101010011211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 1:32 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -309.4514186 from -758.\nAnswer: -448.5485814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480 is divided by 166?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-9))\/(160\/48)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khhewkkkhkrke. Give prob of picking 2 e.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**3 + 440*d**2 - 337*d - 91833. Determine o(-146).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3178*b**2 - 1 + 1 - 1264*b**2 as u*b**2 + t*b + z and give u.\nAnswer: 1914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -85, -149, -233, -343, -485, -665?\nAnswer: -889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.032921 and -3522.\nAnswer: 115.947762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1225898 times 0.0727?\nAnswer: 89122.7846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 2:09 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-3*3)\/(sqrt(42)\/(sqrt(42)\/sqrt(7))).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/32 - 366\/(-8). Suppose -11*b + 6*b = 810. Is 5 a factor of (b\/p)\/(4\/(-30))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 9 = 0, -3*f = i + 4*i. Which is the nearest to f? (a) 1\/8 (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 a when three letters picked without replacement from aqyayx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/12*27\/(-180)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nkrzznzznzzznzz. What is prob of picking 1 r and 3 z?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -30. Calculate the lowest common multiple of 4 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104917, -104918, -104919, -104920, -104921, -104922?\nAnswer: -104923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 23 (b) 21 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -7*v**5\/15 - 36*v**2 + 9*v. Let i(x) be the first derivative of g(x). Let m(b) = -2*b**2. Determine m(i(c)).\nAnswer: -1568*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 667758?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 21. Let b(q) = 6*q - 11. Let c be b(5). Let o be z(c). What is the units digit of 5*(o + (-18)\/10)*16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -52 + -a141?\nAnswer: -a193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5886 (base 16) to base 4\nAnswer: 11202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4 = -8. Solve b*w + 0 = -2*i - 10, 2*w = i - 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -3*n**4\/4 - 5*n**3\/3 - 3*n**2\/2 - 4*n + 405. Let f(c) = 5*c**3 + 9*c**2 + 6*c + 7. What is -7*d(z) - 4*f(z)?\nAnswer: z**3 - z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 38 = -7*j + 3*j, 0 = -2*j - 3*i + 15. Let n(t) = 0 - t + 7 - 3 - 3 + 5*t**2. Calculate the smallest common multiple of j and n(1).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -19*c - 13. Let b(g) = -19*g - 13. Let z(t) = 4*b(t) - 5*u(t). Let x be z(3). Let s be (-10)\/4*(-16)\/x. Which is greater: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53162480 by -379732.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/40 and 21\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 226*x**7\/105 + 392*x**3\/3 - 70*x**2 - 8. Find the first derivative of p(i) wrt i.\nAnswer: 1808*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2819255 is divided by 37.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 12866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -8*g - 45200000. Round g to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*r + 5*r - 38, -4*r + 25 = w. What is the greatest common factor of w and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17223?\nAnswer: 3, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 303811513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + 0.1. Let u = 3 + -5. Let o = u + 1.7. Which is the third smallest value? (a) o (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5 less than 0.039?\nAnswer: 2.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001525248 to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22175, 2, 5, -2 in decreasing order.\nAnswer: 5, 2, -2, -22175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5*((-24515092)\/(-95))\/29.\nAnswer: 2, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36\/3*(4 + (-40)\/(-30)) is divided by 5\/(-20) - (-159)\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3\/5 + 4*v**2 + 33*v\/5 - 54\/5 = 0.\nAnswer: -18, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50 - 19*t**2 + 50 - 9*t**2 - 78*t**2 - 7*t**2 + 0*t**2 + 3*t**2 - 2*t**2 + (-2 + 2 + t)*(5 + 2*t - 5) to the form m*t + r*t**2 + s and give r.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*g - 1444*g = -36701 - 17923 for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqsqssweqrees. Give prob of picking 1 r, 1 s, and 1 e.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -3*v**2\/2 - 12*v - 7. What is the units digit of b(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -15*o**2 - 4. Let r(p) be the first derivative of -16*p**3\/3 - 3*p + 896. What is -3*j(k) + 4*r(k)?\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33115700 is divided by 71679?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u + 9. Determine v(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -130, -245, -386, -553, -746?\nAnswer: -965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0.4, 0.01, -1\/2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2004 in -0.4, -180.6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 m when two letters picked without replacement from mlmlymmmllmlmymlm.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 320019 * 0.5\nAnswer: 160009.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b + 3 - 30. Suppose b*f - 1 = -4*p + 8, 47 = 5*f - 4*p. Solve 0 = -3*n - f + 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.052 and -9.\nAnswer: -0.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyqhllhqqvul. What is prob of picking 2 l?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 9:56 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 6054.531 to the nearest 100.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*z + 30*z + 8, 2*y = 5*z + 24. Solve -5*p + 25 = y*h, 0 = -5*p - h + 20 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 788317953 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**2\/2 + 18*j + 33\/2 = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4084+-8.67\nAnswer: -4092.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11440892 and 16.\nAnswer: 11440908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3561340.6362 to the nearest one thousand.\nAnswer: 3561000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 415\/140 + (-3 - -2 - 2). Suppose t + 4 = -3*t. Is t bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -0.02, 3, 375\/7, -0.5, -2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 14*x**2 - 8*x**2 - 4 + 4 + x - x**3 - 4. Let s be o(6). Which is the smallest value? (a) 4 (b) s (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1879 + -1875. Let w be 3\/4*(-4)\/(-6). What is the closest to -1\/2 in k, 2\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.85 + -41.75. What is s rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*c - 0*c - 123, -c - 587 = 5*i. Let a = 185 + i. Suppose a = -2*y - 3*j + j, -4 = 2*j. Round y to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in milliseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -9*f**2 - 3*f - 7. Let w(i) = 3 + i - 2 + i**2 + 0. Let j(t) = 21*w(t) + 3*z(t). What is the second derivative of j(o) wrt o?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1588 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278 = 4*y + 54. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1. Let g(q) = p + 4 - q + 3. Let w be g(6). Solve -w*i = -0*i + 2*l + 8, 3*i - 3*l = -6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhc when four letters picked without replacement from cmmmhhhcmmhm?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 4*s**2 - 6*s + 8. Let i be o(5). Suppose -i*m + 48 = m. Suppose m*z - 55 = 7*z. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -304?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 10:07 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.1, -1\/7, -640, 3?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105753 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 127188*r + 254388.\nAnswer: -3*(r - 2)*(r + 42398)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 11120402?\nAnswer: 11120344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 4*q - 2*q)*(0 - 2 + 3) - 84*q + 644 - 644.\nAnswer: -93*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1970830097095 - 2.18?\nAnswer: 1970830097092.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5 - (-40995)\/27 - (-2)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -4, -2\/7, -27?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 5*q**2 - 5. What is the remainder when b(3) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(5) - (sqrt(10)*3)\/sqrt(2) - sqrt(5)) + (6*sqrt(162)*2)**2)*4.\nAnswer: -4*sqrt(2)\/3 + 93312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*w**2 + 6 - 9*w**2 - 1 + 13 with respect to w.\nAnswer: -26*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8369918 by 11906.\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*o + 28*o + 17*o)*((-2 + 0 + 4)*(-2*o - 4 + 4) - 2*o + 1 - 1).\nAnswer: -174*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from ssys.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-1)\/(-159))*285\/(-285). Sort 0, l, -3, -2.\nAnswer: l, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by -14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 less than or equal to -192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -150500 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 188927 at least 188927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/14536 and -52\/9085.\nAnswer: 72680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 177*x**2 - 9*x + 12. What are the prime factors of c(2)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, f: 8, w: 5}. What is prob of sequence ff?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + 37. Let b = a - 43. Let m(k) = 4*k**2 - 8*k**2 + k**b. Let u(n) = 7*n. Calculate m(u(x)).\nAnswer: -147*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 11*k + 99. Let f be l(-10). What is f rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -765546086343\nAnswer: 765546086341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 841223032 from -2.\nAnswer: -841223034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43765*y**5 - 174*y**4 + 1747020*y**2 - 18 wrt y?\nAnswer: -2625900*y**2 - 4176*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j - 56 = -5*j - 3*v + 10, 5*v = 2*j - 58 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -1\/52, -5 in increasing order.\nAnswer: -5, -1\/52, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -236 and -5.76872.\nAnswer: 1361.41792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 d when two letters picked without replacement from {d: 4, b: 1, z: 8}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 68719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n**2 - 2*n + 2. Let y = -17 - -19. Let i(f) = -26*f**2 - 11*f + 11. What is y*i(z) - 11*k(z)?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**4 + 4*u**4 + 0*u**4)*(0 + 2 - 4) + 1307*u**3 - 1307*u**3 - 901*u**4.\nAnswer: -907*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47596 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + (-68 - -88) - 49.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*d**2 + 3*d**3 + 39*d**2 - 80*d**2.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 256*u**3 + u**2 - 31*u + 57. Let c be g(2). What is the greatest common divisor of c and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*b = 10, -3*i + 4*b + 2 = 9. Suppose 0 = -3*u + 18 + i. Is 692 + u + (-6 - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1096537 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 410236291 to the nearest integer?\nAnswer: 20254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 5*f**2 - 1. Let k be w(5). Let m(t) = -162*t + 4. What are the prime factors of m(k)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5263.35 - -143.\nAnswer: -5120.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 174246, -5 in increasing order.\nAnswer: -5, 0, 174246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(250) - sqrt(250))\/sqrt(10))\/(sqrt(125) + 2*(sqrt(125)*1 + sqrt(125) - sqrt(125) - sqrt(125))).\nAnswer: 7*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cn when two letters picked without replacement from seennesscnitncnnis?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide ((-44)\/(-110))\/((-2)\/10) - -189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 1, -0.96, 2.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6 - n + 1 + 3. Let w be v(-4). Let b be (672\/792 - 2\/11)\/(2\/6). Solve w*z = -b*z - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 1:31 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 2\/9 (c) 2\/3 (d) 0.3 (e) -33 (f) 38\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 475 and 141425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381688?\nAnswer: 2, 47711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3. Suppose 5*g = -0*g - 5. Let w(v) = -2*v + 6*v**2 + 2*v**2 - 3*v**2 - 4*v**2. Give g*w(t) + 2*x(t).\nAnswer: -2*t**3 - t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15934772 is divided by 5311587.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 788, 1577, 2358, 3131, 3896, 4653?\nAnswer: 5402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/3*l**4 + 50\/3*l**2 + 8\/3 - 38\/3*l**3 - 2\/3*l**5 - 32\/3*l.\nAnswer: -2*(l - 2)**2*(l - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4340 - 20*q - 8622 + 4284.\nAnswer: -20*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 1. Let o(v) = -2 - 2*v**2 - 3*v + 1 - 1. Suppose -4 + 4 = -13*t. Suppose t = 15*j + 38 - 23. What is j*o(p) - 3*k(p)?\nAnswer: 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o*o\/(o\/(o**10*o*o)*o*o))\/o)\/o*o)\/o*o*o**(-3\/19))\/((o*o*(o\/(o\/((o\/(o**(3\/2)*o))\/o)))\/o*o*o)\/o**2))**(-7) assuming o is positive.\nAnswer: o**(-3017\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 383717 and 1052.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 10*b**2 + 13*b. Let a(w) = -5*w**2 - 6*w. Let m(n) = 13*a(n) + 6*p(n). Let s be m(-1). Let d(c) = -2*c + 6. Let i be d(5). Is i at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224297.\nAnswer: 61, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 270\/(-55)*((598\/78)\/23)\/1\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3739240?\nAnswer: 2, 5, 93481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, l: 4, d: 2}. Give prob of sequence ld.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6)*(-3 + 6) + 2. Solve j*f + 3*t = -f - 23, -f - 2 = -2*t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**4 - 495*f**3 - 362*f**2 - 2*f.\nAnswer: 24*f - 2970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5461527307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -503669058.949072 + 503674009. Let c = -4950 + k. Let t = c + -0.051. What is t rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/50688 and 61\/36.\nAnswer: 50688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 151368\/1484*96\/306?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*q + 3843 = 30*q - 40*q - 4*n, 0*n = -2*q - 5*n - 128 for q.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-11)\/((-22)\/34)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*b - 6 = 0. Let p = b + -2. What is the second derivative of 4*t**2 - 8*t**2 + 1 - p + 3*t wrt t?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*3\/(-27) + 697\/153. Let n(x) = -4*x + 3. Let o(w) = -3*w + 2. What is b*n(v) - 7*o(v)?\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + y + 44 = 0, 0 = 2*u + 6*y - 2*y - 40. Suppose -13*r + 2 = -u*r. Suppose -v - 4*l + 68 = 0, -r*v - 4*l = -68 - 68. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*x**2 - 4*x**2 + 12*x**2 - 2*x**3 - 7*x**2 in the form o + k*x + d*x**2 + a*x**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/1405 and 59\/145839.\nAnswer: 729195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y + 48 = 136. Suppose -y*o - 2*d + 196 - 50 = 0, 0 = -4*o + 4*d + 176. What is the remainder when 65 is divided by o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1153517 rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -11*m - 42. Let g be q(-4). Let n(t) = -6*t - 2*t - g*t - t**2 - 73 + 82 - t. Give n(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-1 - -5) + 10 + 3 + -5).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 28. Calculate the greatest common factor of 56 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 22 = 6. Suppose o + 6 = -g*h, -h + 5 = -3*o + 52. Is 2 a factor of (-3 - o\/(-6))*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(15)\/sqrt(3) + 5 + sqrt(5)*-2*2) + (sqrt(315)\/(sqrt(36)\/sqrt(4)))\/((sqrt(189)\/sqrt(3))\/sqrt(9)).\nAnswer: -17*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-2))\/((-7)\/(7581\/(-57)))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/19)\/(u**(1\/4)\/u))\/((((u**(3\/4)*u)\/u)\/u)\/u**(-12)) assuming u is positive.\nAnswer: u**(-211\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 321.3 minus 337?\nAnswer: -15.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 10 = q, 4*n + 32 = -0*q - 5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128 - 125. What is the smallest value in -7, o, -0.4, -0.01?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = l - 708, -83*l + 82*l = 2*h - 714. Calculate the highest common factor of l and 468.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 87, 90?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 2*s**2 - 5*s - 3. Let f be q(-3). Suppose 8 = f*y - 1. Let t = 395 - 391. Solve y*l + l = t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + s + 2)*(-267 - 28*s + 267).\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10*17\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 6:54 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (44\/24)\/11*(-9)\/4\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -313 divided by -6\nAnswer: 313\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/4176514 and 49\/22137.\nAnswer: 12529542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -174261\nAnswer: 697044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2250363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 4023870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 11*k**2 + 68*k - 6. What is the tens digit of i(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55081 and 1121?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 1554 - 19840 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18657, 74636, 167933, 298548, 466481, 671732, 914301?\n\"Answer: 18659*m**2 + 2*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 133 - 126. What is the highest common factor of c and 245?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2331, 2557, 3173, 4377, 6367, 9341?\nAnswer: 13497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*-11*(-1749)\/(-726)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + 3*m - 1, -2*h + 11*m = 10*m + 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/8 of a decade?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*h. Solve y = -3*i + 2*i + 4, h = y - 5*i - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - ((-11674 - -11528) + 22\/4 + 4\/8).\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 - 60*d**2 + 2*d + 60. Let m be r(-30). Solve 6*t + 38 - 68 = m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - -5. Let i = r - 25. Sort i, 3\/5, -0.03.\nAnswer: i, -0.03, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - 5*t**2 - t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 46.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/343 + -1033\/686. Calculate the common denominator of m and 3 + -1 - 438\/136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -20. Let t be (-1)\/2*(p - 3). Sort -2\/3, -4, t in descending order.\nAnswer: t, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(1 + 9\/(-6)). Let a = j - 142. Let o = -84 - a. What are the prime factors of o?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 3. Let d(u) = u + 2. Let a = 3 - 3. Suppose a*i + 3*i = -24. Let k = i - -11. Determine k*m(q) - 4*d(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**3 + 1693*a*j**2 - 6*a*j + 29*j**2 + 105*j + 7 wrt a?\nAnswer: -3*a**2 + 1693*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -66*v**2 + 13*v - 4. Let i(r) = -43*r**2 + 13*r - 4. Let u(q) = 3*i(q) - 2*s(q). Give u(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 22 = -3*y + 319, 5*d = -4*y + 443. Let t = -83 + y. Solve -v - v + t = 5*f, 3*f + 5*v = 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -24, 0.3, 2\/23?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 28279.\nAnswer: 5\/28279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 39*a - 132. Let q be o(-4). Is -155\/4 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Let h = f + -3. Solve h*g - 1 = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -40*r - 34. What is the units digit of p(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-65) - 0)\/((-4)\/10).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9.73633 or 1?\nAnswer: -9.73633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 4*s - 2. Let m be (-3)\/(-6) - (-22)\/(-4). Let z be w(m). Let c = 8 - 12. Sort -5, c, z in ascending order.\nAnswer: -5, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -810689, -810684, -810679, -810674?\nAnswer: -810669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*k + 722 + 226 = -3025 - 5963 for k.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -345, -395, -471, -573?\n\"Answer: -13*i**2 - 11*i - 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 21*d - 16*d - 35, 0 = 5*f - d + 37 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 13 + (19 - 9) - -16?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 145 - 132. Solve 5*k - y = 3*g, 2*g + 2*k = k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 253 and 23?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*z + 111 = -5*z, 5*h - 181 = z. Suppose 2*n + 2*b = 422, 3*b = -12*n + 7*n + 1059. Calculate the remainder when n is divided by h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -509 + 511. Solve a = -n*a - 2*r, 4*r = -2*a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -30\/113, -5, 3, -1.8, 2?\nAnswer: -30\/113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 135399681 and 31.3?\nAnswer: 135399649.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 6)*(-1 - 2 + 4)*(h + 3*h - 3*h - 1)*(9 + 2 + 14) to r + n*h and give r.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-2652.1.\nAnswer: 2652.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 12*q = 96. Let z be q\/30 - (-2 - (-8)\/5). Solve -3*c - 3 + 6 = z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 8\/5706483?\nAnswer: 8\/5706483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 11*s**2\/3 + 1781*s - 5376 = 0.\nAnswer: -5376\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 7*j**2 + j - 1. Let l = 122 + -120. What is the remainder when i(7) is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - 0. Let g be -2 - 72\/(-33) - 27\/x. Let f be g*-70*((-21)\/15 - -1). Calculate the greatest common factor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -907, -912, -919, -928?\nAnswer: -939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*m*y**6 + 275*m*y**4 - m*y**2 + 2*m + 17*y wrt y?\nAnswer: -840*m*y**3 + 6600*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 411 (c) 353\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4988823233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-4)\/(-6)*3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46963*t**3 - 9*t + 0*t - 46962*t**3 + 3*t**2 + (2 + 3 - 7)*(-t**3 + t**3 + t**3) - 4*t + 4*t - 3*t**3.\nAnswer: -4*t**3 + 3*t**2 - 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -x. Let q be (0 + x)*(-25)\/(-10). Let r be (q + -4)*(-1 - -2). Is 2\/3 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132333925.\nAnswer: 5, 211, 25087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 118, 170, 222, 274, 326?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from {t: 5, n: 1, f: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33.0606694 - 6.9606405. Let l = z + -26.1. What is l rounded to 6 dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/59))**(-29) assuming x is positive.\nAnswer: x**(-1653\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1134 and 2832.\nAnswer: 2832.1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -5. Let h(s) = 2*s**2 + 2*s - 1. Let q be h(l). Solve m + 3 = 4*c - 5, m + 1 = -q*c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -352623108*d**3 - 73734*d**2 + 92*d - 3 wrt d?\nAnswer: -2115738648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**3\/2 + 9*p**2\/2 - 21*p. Let m be 1*(-2*7)\/(-2). Is 10 a factor of g(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p**3*t + 4461*p**3 - 5*p**2 - 2*p*t - 5073*t wrt t?\nAnswer: p**3 - 2*p - 5073","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-18))\/((-2725)\/(-22890))\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**1)\/(a*a*a**10*a)*(a\/(a*a**(-3\/5)\/a*a)*a*a)**10 assuming a is positive.\nAnswer: a**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (13\/((-52)\/48))\/(-2). What is the common denominator of 5\/6 and (4\/28)\/(b\/(-469))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g + 2. Let f be s(4). Let w(x) = -2*x + 12. Does 16 divide w(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 36 = -u. Let w be 4\/u - 50\/(-18). Suppose -5 = 2*c - 4*t - 1, -w*c + 4 = -t. Sort 0.5, c, -1 in ascending order.\nAnswer: -1, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -320 + 186 + 145 + (1 - 144)\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g**2 + 15*g + 1. Let c be r(-3). Find the common denominator of 2\/c - 552\/(-80) and (-4)\/(-3)*(-36)\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7*r**2 - 485*r + 384. Calculate the remainder when 441*1 - (0 - -1) is divided by p(-70).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v**2 + 2*v**2 + 0*v**2)*(479853*v - 479856*v + 6146*v**2 + 7961*v**2) to the form y*v**4 + c*v + n*v**3 + l*v**2 + i and give y.\nAnswer: 28214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233200163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -683456449*w**4\/3 + 40323669061*w**3\/3 - 13208349899*w**2 - 15161465*w\/3 - 1450\/3 = 0.\nAnswer: -5\/26143, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1536 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(27) + -1 - sqrt(27))**2 + sqrt(27) + (sqrt(6)\/sqrt(2)*3)**2 - ((sqrt(3)*2 + 5)**2*-5 + (((sqrt(3) - sqrt(3)*2) + sqrt(3))*-6 - -1*sqrt(12))).\nAnswer: 101*sqrt(3) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 37*f. Let u(n) = 6369 + 20*n - 6369. Let x(m) = -2*m. Let h(s) = -u(s) - 12*x(s). Determine h(c(w)).\nAnswer: 148*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**2 - 27*d. Let m be n(-3). Suppose 124*a - 119*a + m = 5*c, -9 = 3*a + 3*c. Let v be 7 - (2 - 4 - -4). Sort 3, v, a.\nAnswer: a, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-48) + 165\/70?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 675129647 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6529 + -6526. Let o be (-40)\/(-42) - (-6)\/(-9). What is the closest to -1\/3 in o, 0.3, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(21) + sqrt(126)\/sqrt(6) + sqrt(21)))\/sqrt(7).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, c: 1, a: 1, r: 2, e: 1, b: 1}. Give prob of sequence cb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 879197 to the nearest integer?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 35*-852\nAnswer: -29820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/((y\/((y\/(y**1*y))\/y*y))\/y*y*y))\/y)**(2\/43)\/(y**(-2\/7))**(13\/6))\/((y*y**1)**(5\/7)*y\/y**(-1\/3)*y*y**(-1)) assuming y is positive.\nAnswer: y**(-673\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -255, -496, -725, -942, -1147, -1340, -1521?\nAnswer: -1690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((144\/(-15))\/3 - -3)\/(-1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 5:53 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -1. Let n = 14 - h. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 1 - 1)*(-2 + 3 - 4 + 2 + 0 + 0 + (0 + 3 - 4)*(1 + 2 - 2) - 4 + 4 + 4).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 + 2*q**3 + 0*q**3)*(20*q**2 - 9*q**2 + 76*q**2).\nAnswer: 174*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k + 0*k + 2*k + (1 - 3 + 3)*(4 + 0 + 2)*(0 + 0 - 2*k) - 2*k + 2*k - 2*k as r*k + x and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1130\/18 + 2\/9. What is the third derivative of -c*u**2 - 43*u**3 + 13*u**2 - 34*u**3 - 11*u**3 wrt u?\nAnswer: -528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-6.3\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 19 - 27)*(6*a + 0*a - 4*a - a + 3*a - 3*a + (6 - 4 - 3)*(-3*a + a + 0*a) + 2 - 2 + a + a + 0*a + a).\nAnswer: -174*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5*a*a)\/a*a*a**(2\/21)\/a*a*a**(1\/15)*((a*a**(3\/2)\/a)\/a)\/a assuming a is positive.\nAnswer: a**(1399\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**6\/120 + r**5\/10 - r**4\/3 - r**3\/2 + 287*r**2. Calculate w(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2. Let n(g) be the third derivative of 5*g**2 - 1 + 0*g - 13\/24*g**4 - 1\/2*g**3. Give w(n(c)).\nAnswer: -169*c**2 - 78*c - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 210617 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - g = -s - 926, s + 5*g = 241. Let l = -109 + s. Let d = 173 - l. Calculate the greatest common divisor of d and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/250, 0.4 in descending order.\nAnswer: 0.4, 1\/250, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 12*p + 3*p + 2*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1151 greater than -12666\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 8*d + 16, 4*y = -2*d - 596. Is 1.2 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 j when three letters picked without replacement from {w: 3, j: 1, v: 5, r: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -1051010?\nAnswer: -1051015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**36*z**(-18)*z*z)\/(z*z*z*z**(-11)\/z*z**(2\/3)) assuming z is positive.\nAnswer: z**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 5*y - 3. Let n be f(3). Suppose -2*x + 42 = 4*r - 10, n*x - 6 = 0. What is the greatest common divisor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 435, 3470, 11711, 27762, 54227, 93710, 148815?\nAnswer: 222146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, b: 5, j: 2}. Give prob of picking 1 c, 2 j, and 1 b.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 3\/11, 1\/2, -1\/10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 - 3*t**2 + 45 + 7*t**2.\nAnswer: -2*t**2 + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 174 = h, 5*y + 189 - 1041 = -h. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21354041, -21354040, -21354039?\n\"Answer: y - 21354042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 41 = 17 + 18 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + t + u + 100 = 0, -t + 34 = -3*u. Suppose 1 - 4 = -a. Sort -3, t, a in descending order.\nAnswer: t, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d**2 - 9. Let s(b) be the second derivative of b**4\/2 + b**3\/6 + 5*b**2 - 8*b. Let x(p) = -5*h(p) - 4*s(p). What are the prime factors of x(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010 - -1?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a4 + 18?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, w: 1, h: 1, k: 2, q: 2}. Give prob of sequence ck.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900) + (sqrt(1900)*1*-2)**2 + sqrt(1900).\nAnswer: 20*sqrt(19) + 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*-7*11\/231.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162 and 234.\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -11*t**2 - 3*t - 4. Let p(r) = -10*r**2 - 3*r - 5. Give 5*p(c) - 6*u(c).\nAnswer: 16*c**2 + 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + a + 0*a**3 - 2*a**3 - 6)*(26*a + 18*a + 40*a) to z*a + c*a**4 + p*a**3 + b*a**2 + m and give c.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -61836 (base 9) to base 12\nAnswer: -1b720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 965*a + 341. Let s(n) = 322*n + 114. Let v(u) = -4*l(u) + 11*s(u). Let p be v(5). What is p rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3735, -3910, -4083, -4254, -4423?\nAnswer: -4590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1088 and 384?\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.5, 0.094 in descending order.\nAnswer: 0.5, 0.094, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 44 + (5 - 6)*4. What is the third derivative of 10*a + 38*a**2 + i*a**2 + 3*a**4 - 86*a**2 - 6*a**4 - a**3 wrt a?\nAnswer: -72*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*n**3 - 40*n**3 - 71*n**3.\nAnswer: -77*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(85) + sqrt(85) + sqrt(85)) - (sqrt(85) + 2*sqrt(85)*1 + sqrt(85)))\/(2*sqrt(125)*-4).\nAnswer: sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 107513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69 + -60. Suppose 5*t - 24 = b, -5*t = 4*b - 4 - 0. What is the remainder when m is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 647324287.\nAnswer: 37, 17495251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-407)\/148)\/(21\/252)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -3\/13*x**3 - 8\/13*x**2 + 5 - 3*x - 1\/78*x**4. Factor l(q).\nAnswer: -2*(q + 1)*(q + 8)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/167 or 0.08?\nAnswer: -5\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128404 is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k - 3. Calculate c(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 15*v**2 - 16*v - 16. Let l(q) = 3*q**3 + 30*q**2 - 32*q - 32. Let i(n) = 2*l(n) - 5*o(n). Does 14 divide i(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1706 + -1615. Let m(y) = y**2 - 3*y + 9. What is the remainder when d is divided by m(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 408593 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -v**5\/120 - v**4\/12 + 5*v**3\/3 - 17. Let k(c) be the third derivative of j(c). Calculate k(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8180 and 818?\nAnswer: 8180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-12)\/(-15))\/((-3)\/(-105))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -131*y + 10*y + 2326951. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4784, -4718, -4608, -4454?\nAnswer: -4256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*i**3\/3 + 5352770*i**2 + 4282224*i + 2569336\/3.\nAnswer: -2*(i - 321167)*(5*i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**4\/12 - t**3\/6 - 2*t. Let a(k) be the first derivative of k**3 - k**2 + 3*k - 16. Let m(y) = a(y) + 2*p(y). Factor m(g).\nAnswer: (g - 3)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + 98. Calculate the remainder when a is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 1:06 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 691869.09401 plus -111?\nAnswer: 691758.09401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 7*m**2 + m + 9. Let x be r(-7). Suppose -4 = 4*k + x*j, -3*j - 2*j = 0. Let g be (1 + -1)\/(3 + k). Is g smaller than -2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 5\/112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4748.\nAnswer: 2, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h\/h**(-9))))\/h*h**(-2\/19))\/(h*h**(-3\/8)\/h*h**(-1\/7)) assuming h is positive.\nAnswer: h**(10015\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c. Let j(t) = -44 + 13 - 35*t**2 + 31. Determine j(l(o)).\nAnswer: -875*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d - 2. Let a = -15 + 11. Let g be c(a). Let r be ((-5)\/(-2) + -1)*g. Calculate the greatest common divisor of 27 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 1. Let c be y(1). Let p(f) = -13*f + 45. Let w(r) = -3*r + 11. Let o(d) = -2*p(d) + 9*w(d). List the prime factors of o(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*k + 24*k - 32*k + (1 + 0 + 1)*(-1 + k + 1) + 1 + 2*k - 1 + 0*k + 0*k - 2*k to z*k + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 612609659 to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjjjddddjd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1141*h**2 + 147*h + 146. What is w(-1)?\nAnswer: 1140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11103966 is divided by 304?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01568733 to four decimal places.\nAnswer: 0.0157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**5\/60 + j**4\/8 - 5*j**3\/6 + 10*j**2. Calculate v(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 15*x**3 - 2*x + x**2 - 2 + 93 - 27 + x**2 to m*x + q*x**2 + o + l*x**3 and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 3 = -2*y. Suppose -y - 1 = -3*u. Determine c, given that -2\/7 + 4\/7*c**2 + 2\/7*c - 2\/7*c**4 + 2\/7*c**u - 4\/7*c**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3404 + 1390. What are the prime factors of q?\nAnswer: 2, 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 v, and 1 p when four letters picked without replacement from pthttphhhtvptptph?\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 28. Calculate the remainder when 69 is divided by (-9)\/q*(-1 - 23).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5448443863.\nAnswer: 349, 15611587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from {z: 3, c: 2, i: 1, n: 1, s: 5}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyls when four letters picked without replacement from {g: 1, x: 1, y: 4, s: 1, l: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261904 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 597314678 to the nearest integer?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.86 + 14. Let u = -1.14 + f. What is the biggest value in 5, 0.2, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 9 = -5*j, 2*j - 4*l = -4 - 2. Let a be 4 - -1*-74*j\/2. What is the third derivative of -46*t**4 + 2*t**2 + a*t**2 - 8*t**2 wrt t?\nAnswer: -1104*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002 (base 3) in base 16?\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97776 - -37981. Let m be -2 + c + -3 - 0. Round m to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 13) to base 2.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 115+-0.12392312\nAnswer: 114.87607688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 251193.6 months?\nAnswer: 209.328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**3 - 14*p**2 + 11*p - 24. Let k(x) = -5*x**3 - 14*x**2 + 10*x - 25. Let n(w) = -5*k(w) + 6*q(w). List the prime factors of n(14).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3759 + -3745.033. Round k to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from {c: 5, y: 1, z: 3, h: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide (1 - -3)\/(3*(-1)\/(-123))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/2))**(-29)*w**(2\/11)\/((w**(-2\/3)\/w)\/w) assuming w is positive.\nAnswer: w**(-769\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (2 - (-5)\/(-1)) + 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.104 - 2.104. Suppose -2 = 3*v - 11. Let g = 0 + 1. Which is the closest to 0.1? (a) g (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-426640)\/(-68) + 0 + -3 + 98\/34?\nAnswer: 2, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -5*n - 4*r + 12, -4*n = r - 14. Let c be 22\/(-2) - (0 - n). Let o be (14\/4)\/c*-2. Let q(b) = -4*b**3 + b - 1. Calculate q(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 9*y = 0. Suppose -3*a = -y*a, -5*b = -5*a - 10. Calculate the least common multiple of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 10. Let q(m) = m**3 + m**2 - 4*m - 7. What is the tens digit of q(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -118*d - 3331. Is q(-84) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 4. Determine v(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6481, 591, 0.4?\nAnswer: 591","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/64 of a week?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-6)*3\/(-12)*-6. What is the closest to 1\/7 in k, 3, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -0.0805, 3\/7, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23339?\nAnswer: 23339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 7*l**2 + 0*l + 0*l**3 - 29\/2*l**4 - 3. What is the second derivative of r(k) wrt k?\nAnswer: -348*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 522*n - 176*n + 216*n as x*n + t and give x.\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p. Let t(i) = -i - 1. Suppose -26 = -3*c - 11. Suppose 0 = c*a + 5. Let w(s) = -10*s - 1. Let n(b) = a*w(b) + t(b). What is u(n(j))?\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -125 (base 6) to base 14\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 4. Suppose -q - j + 0 = 0. Let g(o) = -4*o. Is 2 a factor of g(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58900?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*p = -458*p + 536*p - 2076 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a**4 + 9498*a**3 + 1008171*a**2 + 1283262*a + 284568 = 0.\nAnswer: -284, -167, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**3 - 2*o**3 - 2*o**3 - 4*o + o**3 + 4*o + (-3*o + 8*o + 2*o)*(16*o**2 - 3*o**2 + 4*o**2).\nAnswer: 119*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1607050 (base 8) to base 6.\nAnswer: -13524344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146055854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 9:00 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21 - 6) + -2 + -7. What is the remainder when 175 + c\/9*3\/2 is divided by 171\/4 + 3\/12?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/13 (b) -1\/6 (c) -6 (d) 1\/2 (e) -40 (f) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73563029 plus -5?\nAnswer: 73563024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/5 + (-9)\/30)*0. Suppose -10*b + 12 - 52 = h. Calculate the remainder when 4\/2 + (b\/(-2) - -209) is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 - 16*g**2 - 37*g + 25*g + 18 - 2*g**4 + 14*g**3.\nAnswer: -2*(g - 3)**2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*((sqrt(684) - (-5 + -2*sqrt(684))**2) + sqrt(684))*6*3*4*-3.\nAnswer: -2981884 - 116640*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -166\/1753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20183015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5095 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6634, -6757, -7094, -7753, -8842, -10469, -12742?\n\"Answer: -18*o**3 + o**2 - 6617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/5 < -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1184*r**2 - 189*r - 1204*r**2 - 30 + 194*r to a + x*r + d*r**2 and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 15) in base 5?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 11*d**2 - 11*d. Let g be s(1). Let m be (((-50)\/(-2))\/5)\/(-1 + g). Suppose k + 2*c + 5 = 0, 6*k = k - 3*c - 4. Sort k, -2, 6, m in increasing order.\nAnswer: m, -2, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**4\/3 - 676*n**3\/3 + 4196*n**2\/3 + 55444*n\/3 - 19656 = 0.\nAnswer: -7, 1, 13, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*q - 334 = 537 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 178784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4520 + -45199\/10. Let o(i) be the second derivative of -13*i + 0 + 0*i**2 - y*i**6 - i**4 + 0*i**5 + 0*i**3. Find the third derivative of o(x) wrt x.\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 568 and 5538.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3761.\nAnswer: 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 3*a**2 + 3*a - 2. Let o be z(5). Suppose 0 = -28*m - 47*m + 26*m + 343. Calculate the greatest common factor of o and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2 + 9*b - 9. Let x be -4 + (63\/28)\/(9\/24). Suppose 4*l - 28 = -2*i, -x*i - 1 = l - 2. Let g(s) = s**2 + 5*s - 5. Determine l*g(y) - 5*n(y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**3 - 227*u**2 + 9*u**3 - 1 - 2284*u**2.\nAnswer: 2*u**3 - 2511*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-100)*-5*-3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 + 61 = 8*m. Let k be (1\/(-3))\/(m\/24). What is the closest to -1 in -1\/3, -0.1, k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + -335. Suppose 11*r + 4*g + 21 = 10*r, -4*r + 5*g = 0. Let a be j\/r - (-69)\/(-115). Calculate the highest common factor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 9*j + 9. Let k be u(4). Solve -4*r - 37 = -2*w - 11, -5*w + k = -5*r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 83791587.\nAnswer: -25137476.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19128387 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (90\/20 + -5)\/(-2*2\/(-544)). Is x > -339\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 4:16 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**3 - 2*p**3 - p**3 + (-p + 4*p - 2*p)*(3 + 4*p**2 - 3) - 59 + 59 - 12*p**3 + (0*p**2 + p**3 + 0*p**2)*(1 + 4 - 3).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 - 2) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + 10 + (-129)\/9. Which is the third biggest value? (a) 0 (b) -4\/95 (c) g (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, r: 13}. Give prob of sequence hrr.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9175004 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -7, -2, 6 in decreasing order.\nAnswer: 7, 6, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29512036*f**3 + 2*f**2 - 7*f**2 + 29512033*f**3.\nAnswer: -3*f**3 - 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14505405 - -144?\nAnswer: -14505221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.04 and -447.\nAnswer: -447.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 - -86. Suppose 3*c - a*c + 715 = 0. What is the remainder when c is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 670, 1369, 2068, 2767, 3466?\n\"Answer: 699*a - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67836723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -7*q + 2533. List the prime factors of q.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-28)\/10*(1 + -5))\/(448\/(-30240)). Which is greater: -5294\/7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -153, -493, -1059, -1851?\n\"Answer: -113*k**2 - k - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, -5, 1.\nAnswer: -5, 0, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08174 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and -2382323?\nAnswer: 1667626.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 - 1)*(-5*t + 0*t + 3*t) - t + t + 7*t.\nAnswer: 23*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3002)\/(-19) - (3 - 1). Let b = -228 + r. Let u = b + 78. Let q(k) = k**2 - 5*k - 2. Calculate q(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -7*p**5 - 10*p**4 - 3*p**3 - 4*p**2 - 4. Let h(r) = 8*r**5 + 11*r**4 + 3*r**3 + 5*r**2 + 5. Let k(i) = 4*h(i) + 5*o(i). Solve k(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 - -85. Let y = 27 - d. Put -4, y, -0.7 in increasing order.\nAnswer: -4, -0.7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1557 divided by 445880\nAnswer: 1557\/445880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 12 = 2*m, -q - 6 = -2*q - m. Solve 3*g + 3 = q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + (sqrt(2736) - (sqrt(2736) - (3 + sqrt(2736)))) + -5 + -1 + (sqrt(2736) - 4*sqrt(2736)))**2.\nAnswer: 336*sqrt(19) + 10990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59 (base 11) to base 2.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/4*120\/(-675). Let d = 0.07 - 0.13. Let p = -9.36 + 4.36. What is the third biggest value in d, p, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c49 (base 14) in base 9?\nAnswer: 3275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.003, -2\/15, -0.3, 1 in descending order.\nAnswer: 1, -0.003, -2\/15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -24*p - 24. Let u be a(-5). Let d = -84 + u. Find the third derivative of -6*w**2 + d*w**2 + 13*w**2 + 13*w**4 - 12*w**4 wrt w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.82 (b) -3.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*g - 2*g + 1 - 2)*(280 + 344 - 95)*(0*g + g + 0*g).\nAnswer: -8993*g**2 - 529*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8047, 16196, 24547, 33202, 42263, 51832?\n\"Answer: 17*b**3 - b**2 + 8033*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 15*f = 45. Let g be 6\/(-8)*(-40)\/f. What is the third smallest value in -2\/3, -3, 0.03, g?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8584 - -17064. What is the remainder when r is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + ac?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 24 = -4*k, 5*k - 7 = 2*f - 49. Suppose -12*j + f = -4*j. Factor -4*i**j + 4\/3*i + 8\/3.\nAnswer: -4*(i - 1)*(3*i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q + 10. Let g be l(10). Suppose 20*m - 10*m = g. Suppose -m*d = 5*s - 6*d - 794, -788 = -5*s + d. Does 18 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 + 24*s**2 + 30*s - 40. Let c be g(13). Solve 11*d + c = 14*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 2*w - 16 + 14*w**2 + 214*w**2 - 3 + 0.\nAnswer: 228*w**2 - 2*w - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2*n + 8 - 26, 0 = l + n + 3. Suppose -4*q + l*q = 4*y + 38, -4*q + 4*y = 28. Let f = -7 - q. Solve -f*d = -2 - 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 26*r**3 + 3*r**2 + 10. Let y be q(4). Suppose -46*h - y = -49*h. List the prime factors of h.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*c - 17*c + 15. Solve 5*d = 2*s - 23 + 2, -s + c*d + 13 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 - (-4368)\/4 - 0?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/((-280)\/(-225)) + 9\/(-12). Factor 4\/7 + 2\/7*c**2 - q*c.\nAnswer: 2*(c - 2)*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -103051, -103089, -103127, -103165, -103203?\n\"Answer: -38*l - 103013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, -5, 0.04, -0.017649, 5\/3, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 38 - -10?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/(-171))\/(3\/9)*-3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**5\/60 - 2*g**4\/3 + 2*g**3\/3 + 3984*g**2. What is v(-11)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*q + 3*d + 3, 2*q = 2*d + 2. Find the third derivative of -2*a**3 + 4*a + 3*a**2 - 4*a - 6*a**q wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1411*z + 108987 = 726*z for z.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2833 + 4372. Which is smaller: 7701\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-3*(-4)\/(-1956)). Let c = 166 + n. Solve -2*x = c*h + 8 + 2, 2*h = -5*x - 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in 0.5, -5, 5, 4, -6050?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -15*q + 223. Let i be v(11). Suppose 35*g - i = -23. Solve -j = g + 4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.3832.\nAnswer: 0.07664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 284 and 16.\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 430?\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 2*w**3)*(24 + 18 + 2).\nAnswer: -88*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2) + (-23)\/(-2). Let f = -5 + n. Let i(x) = -x**3 + 6*x**2 + 8*x + 6. Does 12 divide i(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*y**5 - 12*y + 15*y - 2*y**4 - 2*y - 4 wrt y?\nAnswer: -140*y**3 - 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.31 less than -6.021?\nAnswer: 59.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 3:15 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544193?\nAnswer: 13, 41, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 1:21 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1513 + -842. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r - 5. Let s be h(2). Suppose -4*x - 5*c = -35, 25 = -s*x - 2*c + 56. Suppose -4*w + x*f + 105 = 0, f + 73 = 3*w + 3*f. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 9:40 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1141 (base 5) to base 2.\nAnswer: 10101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29373*m**3 - 2594*m - 7575*m**3 - 2588*m + 5180*m.\nAnswer: 21798*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -603*j - 605*j + 12*j**2 + 1208*j.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209\/((-7315)\/42)*(-22)\/(-33).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/3 + 3430\/21. Suppose -5*i - 70 = -2*g, 4*g = 5*i - i + u. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - o = -2, -5*f = -o + 2*o - 22. Suppose -r - 2 = 5*v, -7*r + 4*r + f*v = 6. Let q(s) = -10*s + 0*s - 3*s + 17*s + 3. Give q(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 + 106. Let k = f - 39. Is k\/((-25880)\/8630 - (-4 + 1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**2 - 4*o**2 + 9*o + 2*o**2 - 3*o**2 to s*o**2 + v + c*o and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 8 - 2)*(-4*k + 4*k - k) + 0*k - 2*k + k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, 13 in descending order.\nAnswer: 13, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 - 14 + 17)*(4*h + 4*h + 0*h) to the form n + j*h and give j.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -34*p + 12*p + 8*p + 13*p. Let n(r) = 377*r**2. Determine i(n(a)).\nAnswer: -377*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/5 - 1712*j\/5 + 732736\/5.\nAnswer: (j - 856)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01461 + -0.21461. What is the nearest to 1 in -1, 0.211, y?\nAnswer: 0.211","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -163969 bigger than -163968?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -303*w**2. Let p(x) = -5 - 14 - 8 + 27 + 3*x**2. Give i(p(u)).\nAnswer: -2727*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 8. Let g be w(7). Which is smaller: g or -4\/15?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 g when three letters picked without replacement from uguuuugguuuuuuuguu.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/5 + 112\/(-20). Which is bigger: -3 or q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/266557265 and 97\/8.\nAnswer: 2132458120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g + 4*k + 23 + 1 = -14*g, 0 = 5*k + 30 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225047 divided by 5774.\nAnswer: -225047\/5774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 120 - -118. Suppose k = 4*r + 90. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/4 (b) 337 (c) -0.09 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -530 + 557. Let k be (868\/180 - 6\/t)*15. What is the greatest common factor of k and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430620 is divided by 33104?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 5*n = -60, 448*d = 447*d + n + 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/27)\/((-2)\/(-2) - 7). Is 0 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -191 - -191. Suppose -r + 5*q - 3 = 0, s = 2*r - q - 0 - 3. Solve -r*u = -7*u - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.025827*0.22\nAnswer: -0.00568194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 332890*f**2 + 9*f - 49568818 wrt f.\nAnswer: 665780*f + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 2\/5, -1\/5, 0.17?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*x**2 - 25*x**2 + 92*x**2.\nAnswer: 146*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 1\/12*a**6 - 96 + 0*a**2 + 0*a + 3\/8*a**4 + 3\/5*a**5 - 5\/3*a**3. Factor s(o).\nAnswer: o**2*(o - 1)*(o + 2)*(o + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*f = -c + 240, -5*f = -4*c + 524. Suppose -3*p = -5*p - 34. Let v = 31 + p. What is the highest common divisor of c and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22*d**3*g + d**3 + 20*d**2*g + 5*d**2 - 11 wrt g?\nAnswer: -22*d**3 + 20*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 4:57 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21, -68, -197, -450, -869, -1496, -2373, -3542?\n\"Answer: -7*h**3 + h**2 - h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(-42) + (-350)\/(-12). Let r = f - 29. What is the nearest to -0.2 in r, 0.02, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*k = -48*k + 100. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - (sqrt(78) - 5*sqrt(78))*6 - -1*sqrt(78)*-5)\/(sqrt(6) + (sqrt(18) - -1*sqrt(18))\/sqrt(3) + -3*(sqrt(294) + sqrt(6))).\nAnswer: -20*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 29. Let g be r(6). Let b(q) = 17*q - g*q + 7*q. Let z(c) be the third derivative of c**5\/30 + c**2. Calculate b(z(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1168071, 15, -1 in descending order.\nAnswer: 1168071, 15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*z + 19, -4*z = -n - 3*n + 8. Sort -5, 3, n in descending order.\nAnswer: n, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 9*s**2 + 9*s + 4. Let k be y(8). Let q = k + -7. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 12*m + m**2 - 13*m - 1 + 1. Let r be d(-1). Solve -4*o = -r*o + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**4\/4 - 4*b**3\/3 - 4*b + 21. Calculate x(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from zonxogo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a4 (base 15) to base 9.\nAnswer: -1671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a**3 + 7*a**2 + 10*a + 2. Let k(l) = -l**3 + 23*l**2 - 42*l - 7. Let s be k(21). Is x(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 78, 82, 86, 90?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1*2\/3*6)\/(-26). Suppose 0*x = -2*x - 20. Let g be (-4)\/(-10) + (-16)\/x. Which is the closest to 0.2? (a) 5 (b) f (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 + 152*x + 56. Calculate u(-9).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1200 (base 5) to base 6.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 147, 566, 1265, 2244, 3503, 5042?\n\"Answer: 140*w**2 - w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - m - 10 = 0, 4*c - 13*m - 28 = -9*m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4035 divided by 15.\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 151.2 + -139. Let o = -12.34 + s. Let a = o - -0.1558. Round a to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84882.5 - 0.4\nAnswer: 84882.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 28095.45 years?\nAnswer: 2809.545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*z + 472 = 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 + -66. Find the third derivative of 13*u**2 + 8*u**o + 6*u**3 - 2*u**5 - u**2 - 7*u**3 wrt u.\nAnswer: 360*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2440003 (base 5) in base 15?\nAnswer: -da88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 34*x**2 + 72*x + 71. Let y be u(-1). Solve 0 = -14*n - y + 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - o**4 + 69*o**2 + 4*o**4 - 70*o**2 to s*o**4 + l + x*o**3 + a*o + t*o**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -46182.\nAnswer: -46156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -12*r + 5*r**3 - 33*r**2 + 4*r**3 - 21*r. Let j(t) be the first derivative of t**4\/4 - 4*t**3\/3 - 2*t**2 - 33. Determine 33*j(v) - 4*l(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 16*m**2 + 8*m - 4. Let h(q) = -8*q**2 - 4*q + 2. Suppose -9 = -2*b + 2*x + 13, -4*x = -5*b + 51. Let g(w) = b*h(w) + 4*y(w). Is g(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) 3.1 (c) 0 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-22)\/(-88))\/((-3)\/(-64)))\/(2\/(-3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -44. Let t = u + -37. Let d = -0.8 + 4.8. Which is the biggest value? (a) t (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 4*p + 3. Let u be b(4). Suppose -w - u*w - 20 = -4*j, 0 = -4*w + 5*j - 23. Is w\/(-15) + 984\/45 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31652 and 1804.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence og when two letters picked without replacement from {o: 3, y: 2, g: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -77479*y - 77448. Calculate o(-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**5 + 46485*u**4 - 3513055*u**3 + 13540755*u**2 - 16728310*u + 6654120 = 0. What is u?\nAnswer: -9372, 1, 2, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17518458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -111894*s**4 + 2888*s**2 - 11*s wrt s?\nAnswer: -2685456*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -110, -116, -122, -128, -134, -140?\n\"Answer: -6*h - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/4 + 2113*c\/4 + 4210.\nAnswer: (c + 8)*(c + 2105)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129792 is divided by 32446?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 4:58 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9291 = 9*v - 83640. What are the prime factors of v?\nAnswer: 11, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28848 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhgghhhhgeheg. What is prob of picking 1 g, 2 h, and 1 e?\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12, -2, 5, 2, 30 in descending order.\nAnswer: 30, 12, 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91 or -429?\nAnswer: -429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2.4 (b) -1\/11 (c) -1\/3 (d) 7.5 (e) -7\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/(-21))\/(1\/7). Factor 3*a**4 - 15*a**3 - 6 - a - 20*a - p*a**4 - 27*a**2.\nAnswer: -3*(a + 1)**3*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 l, and 1 d when three letters picked without replacement from {d: 1, a: 1, l: 3, y: 2, k: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**8\/168 - m**7\/105 - m**4\/6 - m**3\/2 - 39*m**2 - 2. Find the second derivative of z(q) wrt q.\nAnswer: 40*q**3 - 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1220 (base 3) to base 6.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x + 19*x = -172. Suppose l = 3*t - 19 + 73, 3*l = 4*t + x. Let m = l + -27. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -37, 0.39, -4, 0.73?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**6\/120 + 11*d**5\/30 + 17*d**3\/3 + 24*d**2. Let x be i(-16). What is x rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -43, -50, -57, -64?\n\"Answer: -7*i - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3 - 1 = 0. Let z be 0*(r + (5 - 4) + 2). Let m be 6 + 0\/(-3 + 2). Solve -3*l - 13 = -5*d, -4*l = -2*d - z - m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*z = 4*z + 15*z + 630 + 2280 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 910 = 1278. Let q = o + 2121. Is (0 - q\/4)*(-38 + 28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2, -2*c + c = -2*j + 10. Let p(k) = k**3 + 5*k**2 - 6*k + 6. Let u be p(c). Suppose -u = -4*a + 10. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjj when three letters picked without replacement from {j: 9, w: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/2 + 1778*c**2 + 730583*c\/2 - 367070.\nAnswer: (c - 1)*(c + 220)*(c + 3337)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (23 + -3)\/4*1. Let s = 18 + m. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 2*y**2 + 0 - 31\/6*y**3 - 1\/12*y**4 + 88*y. Let o(j) = 2*j. Calculate o(g(x)).\nAnswer: -4*x - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 118 - 112. Let u = 1.5 - 1.57. Let q = u - -5.07. What is the nearest to c in 4, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 805 divide 2387624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 6\/163, -3, -4349\/4?\nAnswer: 6\/163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*v - 11 + 110 + 326*v - 99.\nAnswer: 43*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-24)\/j))**(-27)\/(j**12*j*j*j\/(j\/j**6*j)) assuming j is positive.\nAnswer: j**(-721)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12684697.\nAnswer: 271, 46807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -336 or -3699\/11?\nAnswer: -3699\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25172 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(3 - a - 3)*(-4 + 0 + 2 + (3 - 1 - 3)*(-2 + 4 + 0) + 0 - 2 + 0)*(a**2 - 1 + 1)*(294 - 294 - 63*a**2).\nAnswer: -378*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 6140\nAnswer: -1\/614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71 - -74. Find m, given that -1\/3*m + 0 + 1\/3*m**n + 1\/3*m**2 - 1\/3*m**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6619400 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkpppppeypsppes. What is prob of picking 1 e, 1 w, and 1 y?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**4 - 71*s**2 - 6507*s**3 + 6509*s**3 - 23*s + 23*s**2 in the form m*s + k + n*s**2 + h*s**4 + r*s**3 and give m.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-61)\/(-122))\/(7\/(-2))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -17*q + 9*q + 9*q - 4, -79*s + 2*q - 8 = -80*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7*(-1 + 2)*(0 - 1). Suppose p*s - 1202 = 8*s. Let o = s - -2033. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 4, 21, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 53275548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103 + -91. What is the common denominator of 43\/5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + c**2 + 1. Let p(k) = 3*k**3 - k + 3. Let y(v) = p(v) - 4*w(v). What are the prime factors of y(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbqo when four letters picked without replacement from {l: 2, b: 1, q: 1, o: 1, u: 2, y: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.23 > -0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 c when two letters picked without replacement from {c: 2, t: 2, h: 1, z: 2, m: 1, r: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25894 = -2390*v - 452*v + 488*v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 13*m**5\/120 - m**4\/2 + m**3\/3 + 9*m**2. Let t(i) be the first derivative of f(i). What is the derivative of t(r) wrt r?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 at most -1178633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, y: 3, d: 6, f: 5, p: 1, b: 1}. Give prob of picking 1 p, 1 d, and 2 y.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3 - 5. Let s(t) = -t**2 + 3*t - 37. Let u be s(19). Let k = u + 16367\/48. Which is greater: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 6671.989 millennia to years.\nAnswer: 6671989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**5\/a**(-22) assuming a is positive.\nAnswer: a**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/t**6))\/t)\/(((((t\/(t\/(t\/(t*((t**2*t)\/t)\/t*t))))\/t)\/t)\/t)\/t))**(5\/2) assuming t is positive.\nAnswer: t**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-6)*(-76 + 74))\/(1\/3). Let p(w) be the first derivative of -2\/3*w**k + 0*w**2 - 22 + 0*w. Let u(f) = 19*f. Calculate p(u(c)).\nAnswer: -722*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9627123 + 4?\nAnswer: 9627127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 589170607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 107 = 263. Calculate the highest common factor of t and 2262.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + z = -4, 0 = -4*m + 14*z - 9*z - 1. Let w be m*-4 + (31 - 22). Let p(k) = -2 - 2*k + 4*k - 3. Give p(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y + 2*y)*(-1 + 1 - y)*(1633 - 808 - 772).\nAnswer: -106*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(720)*1 - sqrt(720))\/((2*(sqrt(99) - sqrt(99)*2))\/sqrt(11)).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1.7. Let m = 2270 - 2324.04. Let q = -54 - m. Which is bigger: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 3*a**2 + 7*a - 7. Let q be d(2). Solve 0 = q*h + 5*t - 9, -2*h - 2*t + 0*t = -6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386368150 to the power of 1\/2, to the nearest integer?\nAnswer: 19656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 57006776291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-12))\/(1\/(-63)). Suppose 680 = -22*w + h*w. Let o be w\/51*((-2)\/4 - 1). Solve 0*p + o = 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2649 + 4821. What are the prime factors of c?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3486462 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18573 (b) 1 (c) -1\/6 (d) 7 (e) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.661894898 - -0.6619. What is c rounded to 7 dps?\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -259 - -259.1. Let q = -305\/56 - -39\/7. Which is the second smallest value? (a) q (b) -10 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-4*k**3 + 11*k**3 - 14*k**3) + 0*k**3 - k**3 - k**3 + (-11 + 33*k + 11)*(-8*k**2 - 3*k**2 + 0*k**2).\nAnswer: -379*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -301, -478, -689, -940, -1237?\n\"Answer: -j**3 - 11*j**2 - 137*j - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52292057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.242 - 0.042. Put 2\/11, r, 9, 2\/3 in decreasing order.\nAnswer: 9, 2\/3, r, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*u = 145 + 170 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 4:41 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/4 - 3*g**3\/2 + 3*g**2\/4 + 14*g + 12.\nAnswer: -(g - 3)*(g + 1)*(g + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 2*o + 4. Let k be a(2). Let x(l) = 7*l + 14. Let j be x(k). What is the highest common divisor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 35536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63274 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4*(sqrt(8) + 0 + sqrt(648)) + -3))**2.\nAnswer: -17280*sqrt(2) + 461124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7221307517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -49375 - -249?\nAnswer: -49126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5 + 14*u - 7*u + 2 wrt u.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -156.017 + 156. Which is the third smallest value? (a) x (b) -1\/2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171 + 68 = 32*w + 89 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from {t: 1, b: 1, n: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1261.40702 to one dp.\nAnswer: -1261.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 + 97. Let u be (-1)\/(-7) + -22*1203\/l. What is the tens digit of (u\/75)\/((-6)\/40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*s = 222, 10 = -0*s + 2*s. Suppose 0*w + 710 = 2*w. Let h = w + b. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 3)*(1421 - 11*p - 1421) + 2*p + 0*p - 3*p in the form v + z*p and give z.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, 59213.\nAnswer: -1, 15, 59213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53999 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1002 and 0.2.\nAnswer: -0.02004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9 - (49 - -5)\/(-6). Suppose 4*s = p + 157 + 5216, b = -4*p - 4. What are the prime factors of s?\nAnswer: 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsmlllllmfls. What is prob of sequence fml?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 2*q**2 + 3*q + 3. Let n be p(-3). Let g(t) = t - 2*t**n + 5*t - t. Let f(i) = 2*i + 0*i**3 + 0*i - i**3. Determine 5*f(r) - 2*g(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-80)\/(-64)*4\/(-10). Which is the closest to 0.1? (a) 2 (b) z (c) -5\/6 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5391\/95311 or 0?\nAnswer: -5391\/95311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*b - 6*b + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-1 - 0)) + (-93 - -93)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at least -8603\/1166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*(-3 + 3 + 1). What is the units digit of (3\/j)\/(3\/144)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -128 - (-70 + 8 + -27)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-4576)\/616)\/(2\/(-14))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 664567, 2658258, 5981075, 10633018, 16614087, 23924282, 32563603?\n\"Answer: 664563*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -5 (c) -2\/7 (d) 0.05 (e) 84 (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (sqrt(104) + sqrt(104)*1)*2)*-6)\/(-6*sqrt(10)\/(sqrt(25)\/sqrt(125)))*5.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2010 (base 3) to base 6\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2399 - -0.0399. Let q = 5 - -1. Sort d, 0, -0.1, q in descending order.\nAnswer: q, 0, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -32819, -65774, -98733, -131696, -164663, -197634, -230609?\n\"Answer: -2*r**2 - 32949*r + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**18)**(-31)\/(f**23\/f**(-14)) assuming f is positive.\nAnswer: f**490","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r = 23*r - 36 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -76925, -166102, -255281, -344462, -433645, -522830, -612017?\n\"Answer: -t**2 - 89174*t + 12250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3 + -5.85. Let g = 0.35 + h. Round g to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssjhuuu. Give prob of picking 2 s and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 3 = -l + 1 + 12, 16*y - 5*y + 6*y = l - 40 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - i**2 + 3*i + 2. Let m be d(-2). Suppose m = 58*r - 49*r + 36. Sort r, 0, 30 in increasing order.\nAnswer: r, 0, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 77 = -3*b, 5*b - 65 = 3*r + 6*b - 18 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 4*c**3 + 45132316*c**2 - 180529316*c + 135396996 = 0.\nAnswer: -11283083, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 63\/147 - 4\/(-16)*0\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49125 and 2000?\nAnswer: 786000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -507*q**5 - 2*q**2 - 104*q wrt q.\nAnswer: -30420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, 1\/4, -2\/16249, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7*p**2 - 58*p - 80. What is b(-5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 3*g + 50. Let l = -23 - -63. Calculate the greatest common divisor of l and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -b + n, 0 = -2*b + 3*n + 2*n + 3. Let q(y) = -3*y**2 - 20*y - 8. Let z be q(b). Solve -z*d + 16 = -0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 6. Let v = 2 - d. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 86*s - 94*s - 56 = 0, 0*s - 2*s = y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*w = -9, -2*s + 0*s + 2 = -2*w. Let h be 1 + 9 + 3\/(-9)*3. Let y(r) = r**3 + 0*r**3 + 13*r - r - h*r - 4*r**2. Calculate y(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2 + 1*sqrt(108) + 2)*-1 - ((5 + sqrt(108) + 1 - -2*sqrt(108)*-2) + 5))**2.\nAnswer: -657 + 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000736144119 rounded to seven decimal places?\nAnswer: 0.0007361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -18. Suppose 4*c - 212 = h, -2*c - 2*h + 26 = -90. What is the greatest common factor of l and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vviiiivvvvv.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**3\/5 - 324*y**2\/5 + 1677*y\/5 - 2034\/5 = 0.\nAnswer: -113, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - 2 - (3 - 0). Let z(p) be the third derivative of b*p - 2*p**2 - 1\/6*p**3 + 0 + 1\/12*p**4. Differentiate z(d) with respect to d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 + 0 - n**4 - 10*n + 7*n**3 + 3*n**3 - 4*n**4.\nAnswer: -5*(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1939 - 1935. Solve -8*a + 3*a - 2*v = o, v = -3*a - 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - 11*j**3 + 316*j**2 - 8*j**3 - 325*j**2 in the form i + x*j**3 + a*j**2 + p*j and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3733, 3738, 3745, 3754, 3765, 3778?\nAnswer: 3793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 93 (b) 0 (c) 0.1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 20*f**2 + 6*f + 3. Let z(h) = 19*h**2 + 7*h + 4. Calculate 5*k(s) - 4*z(s).\nAnswer: 24*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f*m**2 + 42*f*m*s**2 - f*m*s + 85222*m**2*s**2 - 2*m*s - 174*s wrt m.\nAnswer: 2*f + 170444*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -2*h - 5, w = -3 + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740056 is divided by 58?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1867, -1436, 1\/79 in decreasing order.\nAnswer: 1867, 1\/79, -1436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78077611 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -1. Let l(b) = -2*b**2 - 3*b**2 + 3*b**a. Let f(d) = -40*d**2 + 34*d. Let z(y) = -7*y**2 + 6*y. Let p(k) = -6*f(k) + 34*z(k). What is p(l(c))?\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 9*d = -10*d - 268, 4*o + 3*d - 1107 = 0. Calculate the remainder when o is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 11:41 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 9:26 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -11612\/65 at most -179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**3\/6 + 13*o**2\/2 + 6*o. Let a be z(13). Solve a*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 16*x + 3. Let s(d) = -16*d - 3. Let p(u) = 6*s(u) + 5*z(u). Let r = 51 + -36. Calculate the remainder when p(-2) is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxa when three letters picked without replacement from {e: 1, a: 1, b: 2, x: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 - 3*w**2 + 0*w**2)*(5 - 5 + 2*w**2) + (-w**2 + w**2 - w**2)*(-5*w + 5*w + 4*w**2).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.1, 0.5, 7, -3\/1735.\nAnswer: -0.5, -0.1, -3\/1735, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**2 - 3*y**2 - 5*y**2 - 8 + 8*y + 3*y**2. Let a be i(6). Suppose -3*z - 5*n = -48, a*z = 3*z - n + 14. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 515\/18, 2, 2231\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 9 = -2*f. Suppose -f*w + 5*w = -68. Round w to 0 decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4, -9, -5, -2 in ascending order.\nAnswer: -9, -5, -4, -2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 18 = 107*h - 101*h, h = w - 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltttfttitttttit. Give prob of sequence ilti.\nAnswer: 11\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 - 2)\/15)\/((-412)\/4944)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*u = -64, -16 - 66 = -5*i + 4*u. What is the third derivative of 4 + 89*q**3 + i*q**3 - 6 + 15*q**2 + 0 wrt q?\nAnswer: 642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 27*p**2 + 89*p + 33. Give h(30).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2.4 times -0.0432\nAnswer: 0.10368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 27*q**3 + 2*q - 2. Let k(n) be the first derivative of -1269*n**4\/2 - 189*n**2\/2 + 189*n - 52. Determine -2*k(j) - 189*l(j).\nAnswer: -27*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 356 + 363 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 30*p - 80.\nAnswer: 5*(p - 2)*(p + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*g**2 + g**2 + g**2 + 4 + 0 = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 56, -1428, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1910 is divided by 519.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55778*g**4\/9 - 50994452*g**3\/9 + 38825030*g**2\/9 + 11493200*g\/9 + 244000\/3 = 0 for g.\nAnswer: -915, -20\/167, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.848 times 6?\nAnswer: 41.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 570034*d**3 + 578604*d**2.\nAnswer: 3420204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2288)\/192 + 4\/24. Which is smaller: r or -11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 87*a**2 + 93*a - 785. Give m(86).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/153 (b) -91 (c) 3\/41 (d) 2\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 18 = 36. Let h = -98 + 103. Solve -5*l + z*l = h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553227832546 + -13?\nAnswer: 1553227832533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10 - 7) + (-1)\/1. What is the units digit of (y\/4)\/(14\/1484)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229387 is divided by 4133?\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(84) + (3*sqrt(84)*-1 - sqrt(84)) - sqrt(84))\/sqrt(6))\/((sqrt(847) + -1*sqrt(847) - sqrt(847))*3*1)*4.\nAnswer: -32*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -134*v**2 + 6*v - 6. Let d(u) = 135*u**2 - 5*u + 5. What is 6*d(c) + 5*h(c)?\nAnswer: 140*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239 = -13*l + 2*j, 14*j = -4*l - l + 11*j - 107 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8848 and 225862?\nAnswer: 142744784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0 + 3 + 2 - 4 + (-1 - 2 + 1)*(0 - 1 + 0) + 1 - 2 - 1)*(-4*t - 5 + 5)*(4 + 1 - 4) - t + 2*t + 2*t + (-2*t + 4*t + 0*t)*(-3 + 1 - 1).\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -83\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 z when three letters picked without replacement from zzzzzdzzdzzdzzddzzz?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1412320.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d**4\/5 + 293061*d**3\/5 - 195399*d**2\/5 - 683829*d\/5 - 195378\/5 = 0. What is d?\nAnswer: -32563, -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1580173 to the power of 1\/2, to the nearest integer?\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*t - 16. Suppose 0 = -j + t*j + 12, 2*m + 4*j = -14. Let o(b) = 35*b. Is 16 a factor of o(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-10))\/((-5)\/(-6425)). Does 19 divide t\/21 - (-6)\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40299647.\nAnswer: 29, 1389643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - g - 3, 3*s = 5*g + 161 - 160 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 4*s - 12. Let m be ((12\/6)\/6)\/((-1)\/s). Factor -28*y**2 + 12*y**3 - m*y**5 + 22*y + y**4 - 18 + 12 + 2*y**4 - y**4.\nAnswer: -2*(y - 1)**4*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -70.2, -0.045, -5, 31?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -348, -360, -362, -348, -312, -248, -150?\n\"Answer: q**3 - q**2 - 16*q - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 54456*a. Let o(z) = -3*z**2. Determine o(i(v)).\nAnswer: -8896367808*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than 0.3708708536?\nAnswer: -5.6291291464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111 + 111. Let c(x) be the third derivative of 0 + 0*x**3 + 1\/36*x**4 + 1\/90*x**5 + y*x + x**2. Determine w, given that c(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10232132232 (base 4) to base 12\nAnswer: 4b8ba6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f. Let n(s) = -s. Let g(z) = z**2 + 4*z + 4. Let j be g(-3). Let t be (-7)\/j + 1*(-4)\/4. Calculate t*n(o) + 3*d(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2215.2 - 2214.8. What is the closest to 0.1 in 4, i, 351, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.16448 + -920.93552. Round o to the nearest 10.\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1079 + 1090. Is 1\/37 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q**3 + 40*q**3 + 146*q**3.\nAnswer: 202*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and (-1)\/19 + 138450\/2470?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 9 + 6. Let f be (-1)\/(-3) + g\/(-9)*5. Suppose -f*n = -m - 137, 5*n - 2*m - 35 = 305. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**2 - 829652*w - 829656 = 0. Calculate w.\nAnswer: -1, 207414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/4 + 15\/180\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 4)*(3*y - 2*y + y + (-33 + 33 + 7*y)*(2 + 1 - 1)) - 3*y - 3*y + 4*y to m*y + t and give m.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0 = -0. Suppose q = -6*s + 21*s + 1125. Let v = -55 - s. Solve 0 = -u + 5*z + 10 + v, u - 3*z = 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4593 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1033783311 divided by -51\nAnswer: -20270261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssjsjjssss?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4.4 times 44\nAnswer: -193.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-5 + 9 + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*p - 127 + 141 = 88*p + 854 for p.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 17*c - 5. Let t be q(4). Let j be 3\/24 - (-142)\/16. Calculate the highest common divisor of j and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/5 - (-31)\/(-35). Let n = 8 - 4. Let j be (-2)\/5 - (-3)\/20. Which is the closest to s? (a) j (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b669 - 3?\nAnswer: b666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321334073 to the power of 1\/3, to the nearest integer?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4632.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 1139.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.84 * 292.\nAnswer: -829.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6740, -6948, -7268, -7706, -8268?\n\"Answer: -j**3 - 50*j**2 - 51*j - 6638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 6*s**2 - 3*s - 5. Let m be q(4). Let h = -250 + 254. Suppose -h*c + f + 59 = 0, -3*c + 54 = -0*c - 4*f. Which is smaller: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrmgrimigcrii. Give prob of picking 1 r, 1 c, and 1 i.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -13*j + 32 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-seven halves of a kilometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8748863 is divided by 59?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1633, -1616, -1585, -1540, -1481?\nAnswer: -1408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*n**2 - 9 + 9 + 275*n**2 - 8*n**2 - 97*n**2 - 84*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) 2\/9 (c) 12\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/19)*u**(2\/17)*(u*u**(-3\/13)*u)**(7\/11) assuming u is positive.\nAnswer: u**(52575\/46189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 36800000 rounded to the nearest 1000000?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j = 23*j. Suppose j = -6*w + 3 + 15. Suppose -5*v - 2*x = -w*v - 68, 4*x - 102 = -3*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -20*j + 20. Suppose -24 + 46 = j*d. Calculate the highest common divisor of d and 341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, z: 4, t: 4}. Give prob of picking 3 k.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 6 (b) 3 (c) -3 (d) -1 (e) 30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (25*o**2 - 25*o**2 - 33*o**3)*(2*o + 0*o + 0*o) + 3*o**3 + 2223*o**4 - 3*o**3 - 2365*o**4 as v*o + u*o**2 + l + t*o**4 + c*o**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -129 - 121*f**3 + 129 + (4 - 2 - 4)*(-f + 2*f + f)*(-103 + 10*f**2 + 103).\nAnswer: -161*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(16\/3)*n\/(n*n\/(n*n**(-4\/13))) assuming n is positive.\nAnswer: n**(-181\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -5*w + 3*c, 5*w - 2*c + 18 = 115. Calculate the lowest common multiple of w and 681.\nAnswer: 4767","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*w**4 - 250*w**3 + 5*w**2 + 2380*w + 2400 = 0. Calculate w.\nAnswer: -5, -4, -8\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**0*n*n**(-4\/7))\/((n**3*n)\/(n\/(n\/(n\/(n*n**6*n*n))))) assuming n is positive.\nAnswer: n**(-74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*r + 5*a, -2*r = r + 3*a - 24. Let f = -2 + r. Which is greater: f or 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1614833951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from {x: 2, n: 1, p: 1, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of h**2\/2 + 83. Let k(s) = -87 + s + 87. Give 5*d(m) - 2*k(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42987271 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -176 - -174. What is the tens digit of (17 + x)*(-10 - -23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j - 8. Calculate the remainder when (-1600)\/(-7 + -9) + 3*(-1 + 0) is divided by c(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -25\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lll. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 - -142\/3. Factor 2\/3*c**3 - c**4 + 0 + 0*c + 0*c**2 + v*c**5.\nAnswer: c**3*(c - 2)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*t + 2*t + 10, 0 = 2*x + t - 46. Solve 6*p = p - x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -s + 3*l - 6*l, 0 = s + l - 127. Calculate the remainder when s is divided by 66.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -4, 833, 38, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 10. Is 143 + (p - (3 - -1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11202906 by -1018446.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004321160491 to five dps.\nAnswer: -0.00432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + (sqrt(300) + (sqrt(300) + 0)**2 - sqrt(300)) - (sqrt(216)\/sqrt(36))\/(sqrt(288)*-1).\nAnswer: sqrt(3)\/12 + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 4 (c) -1\/3 (d) 2 (e) 62 (f) -16 (g) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and -350272.\nAnswer: 4553536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 605935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63757 and 1648.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, h: 4, k: 4}. What is prob of picking 4 k?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76 + -67. Solve -3*b = -3 + h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 at least -1365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 12253127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 28519263 times -0.11\nAnswer: -3137118.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -149.5704928?\nAnswer: 144.5704928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s + 80. Let a be m(-25). Solve 8*o = 4*o + 4, 3*h = -a*o + 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 + 3*y**2 + 7*y - 4. Let b(i) = -3*i**3 + 4*i**2 + 8*i - 5. What is 4*b(w) - 5*p(w)?\nAnswer: -2*w**3 + w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 + -40. Suppose 0 = b - g - h, -b - g + 7 = 1. Suppose 0*u = -b*u + 60. What is the remainder when 27 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9*((-16)\/(-12))\/(-4). Suppose -c*o + 4*o = 1. Let i = -6 + o. Put 4, i, -3 in descending order.\nAnswer: 4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -4 + -1 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5315*y**2 + 6*y + 22 + 5314*y**2 - 6*y**4 - 18 as x*y**4 + h*y**3 + b*y**2 + n*y + w and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*z = -39, -4*d - 50 = 4*z - 2*z. Let v = d + 8. Which is the second smallest value? (a) -2\/11 (b) v (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 154 - -6. Let j be (-6)\/(-5)*250\/15. Calculate the highest common divisor of j and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 13*o**2 + 3*o + 16. Let j be g(13). Suppose 0 = -2*y - 3*y + j. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, n: 9}. What is prob of picking 1 f and 1 n?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 8 = 5*g, l + 12*g + 12 = 16*g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -77283.443 and -3.\nAnswer: 231850.329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + -113. Let q be ((-1)\/(-2))\/((-2)\/v). Let r = 116 - q. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28264805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -131712*m**3 + 35280*m**2 - 3150*m + 375\/4.\nAnswer: -3*(56*m - 5)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*z + 9*z + 55. Suppose -z = -6*c - 5*c. Solve r - j = 4, 0 = -c*r + 4*r + 2*j + 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.41 + 1.49. Let x = f - 1.87. Round x to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664684003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*n - 3346 + 1225 + 13911 = 0 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2373 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - 0 - 2\/(-6). Let t(u) = u**3 - 9*u**2 - 54*u + 22. Let g be t(13). Let q be (2\/g)\/(54\/135). Sort 2\/7, i, q.\nAnswer: q, 2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m - 16 = 0. Suppose 0 = 98*i - 110*i + 348. What is the remainder when i is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6 = b. Suppose j - 3*j = -6. Find the third derivative of -12*d**j - d**4 + 8*d**3 - 6*d**2 + 4*d**b wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 135521?\nAnswer: 135524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c + 10*c = 33*c + 828 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 6105048?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23993 is divided by 706.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 15. Let z be g(12). Suppose 0*d = -z*d. Solve 4*v - 9 - 7 = d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -2, 1, 9123, -4 in increasing order.\nAnswer: -5, -4, -2, 1, 2, 9123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2. Let j(w) be the third derivative of 0*w**3 + 0*w**4 + 0*w + 0 - 2\/15*w**5 + 5*w**2. What is j(d(v))?\nAnswer: -32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 556\/9249 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 392911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8401.999997388 - -8402. Round y to seven dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -757\/6 + 761\/6. Suppose 2\/3*h - 4\/3 + 4\/3*h**2 - b*h**3 = 0. What is h?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (-8)\/(-3)*(-138)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 196713845938291?\nAnswer: -196713845938290.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 8*m**5 - 3*m**3 - 3*m**2. Let x(w) = -8*w**3 - 4*w + 3*w - w**2 + 7*w**3. Let f(n) = -r(n) + 3*x(n). What is the second derivative of f(v) wrt v?\nAnswer: -160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*i - 41 = -9*j, -5*j = 2*i - 39. What is the common denominator of j - 9 - (-178)\/(-28) and -101\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7975 is divided by 1321?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2338 or 2?\nAnswer: -2338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.55137 + -2.\nAnswer: -1.44863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 19 - 59. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 2041 = 4*p. Is (p\/(-1) - 1)*(-106)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1270.2 and 0.475?\nAnswer: 1270.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -23\/17?\nAnswer: -23\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.026232173+12273\nAnswer: 12272.973767827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*v + 3*a + 9, -4*v = 5*a + 8. Does 30 divide -2 - (-98 + 0 + v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17369?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**8\/84 + 8*x**7\/105 - x**6\/2 - 14*x**5\/15 + 14*x**4\/3 + 16*x**3 - x**2 - 162. Let v(p) = 0. Calculate p.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -51. Let j = a + 26. Suppose 5*t - 4*t + 10*t = j. Solve 4*n + t*n - 8 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 786904, 1573786, 2360670, 3147556, 3934444?\nAnswer: 4721334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 37*d + 49*d - 56*d.\nAnswer: 30*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -127 + 130 - (0 - 0). Let n(j) be the third derivative of 0*j + 0*j**4 - 1\/3*j**l + 1\/30*j**5 + 3*j**2 + 0. Factor n(m).\nAnswer: 2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4494198 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.9939 + -2?\nAnswer: 102.9939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, l: 7}. What is prob of picking 3 o and 1 l?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16254087463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 8*l**2 + 5*l - 2. Let j be k(-7). Let m be (j\/75)\/(4\/10). Which is the biggest value? (a) 0.3 (b) m (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5641 by -65.\nAnswer: -5641\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.9432069 micrometers?\nAnswer: 0.0000000009432069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 238890?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44052141 to the power of 1\/2, to the nearest integer?\nAnswer: 6637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02374755 rounded to 3 decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2537*h + 1958*h + 1448*h - 1825*h - 372*h + 2907*h)*(-3*h**2 + h**2 + 5*h**2).\nAnswer: 19959*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 7 + 1)*(-15 - n**3 - 5*n - 232*n**2 + 232*n**2) to o*n + k + h*n**2 + a*n**3 and give o.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.8 + 3.84. Let l = a - 0.04. Put 4, l, 6\/7 in ascending order.\nAnswer: l, 6\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 28*c**2 - 33687110*c\/9 + 267358\/9 = 0.\nAnswer: 1\/126, 133679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 14139\/3290 and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105562*n**3 + 316619*n**3 - 105529*n**3 - 105556*n**3.\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 701165592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1418889778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21587*h*k*s - h*k + h*s**2 - k - 99769*s**2 wrt h.\nAnswer: -21587*k*s - k + s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**2\/2 + 23373595*p - 15582396 = 0 for p.\nAnswer: 2\/3, 15582396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 4*k - 5*u - 14, 2 = -2*k + 4*u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43136*m = 43156*m - 240 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 780 and 12931425?\nAnswer: 51725700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) + -2*sqrt(99))*6)\/(sqrt(3) - (sqrt(27)*-2 + sqrt(27))))\/(3*-2*sqrt(432)*6).\nAnswer: sqrt(11)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38617.\nAnswer: 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -6. Solve -x + 2 = -2*b, 3*b = -2*b + p*x - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 - -0.96. Let a = 0 + z. What is the nearest to a in -0.5, 0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 0. Let m = l - 1. Let x = 3.02 - 0.02. What is the third biggest value in -1\/3, x, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1316?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide ((-10)\/(-2))\/((-140)\/(-98812))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1307 is divided by 73.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18271145491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -972*o - 380. Let v(u) = 235*u + 95. Calculate -6*g(a) - 25*v(a).\nAnswer: -43*a - 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344*t - 615*t - 148*t + 285*t.\nAnswer: -822*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119486659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -5\/3, -1, -2, -851\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 9:47 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*d + 3*d + 45. Solve -s = -m - 3, -d*m + 23 = 3*s + m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1863.0369 rounded to 0 decimal places?\nAnswer: -1863","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73\/3 - 25. Let f = -10 + 2. Let t = f - -11. Is t not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(-6)*(-194)\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7778143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.427148 times -10?\nAnswer: -154.27148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/3)\/(10\/45). Find the second derivative of 14*q + d*q**3 - 49*q**3 + 25*q**3 - 6*q**4 wrt q.\nAnswer: -72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 35*g**3 + g**2 - 2*g. Let i be d(2). Suppose 7*f - i = 3*f. Let l = 55 + -27. What is the greatest common factor of f and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 360.1996 minutes?\nAnswer: 21611976000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27\/2 of a century?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - 0.44. Let m = 0.04 - v. Let j = 0.48 - m. Which is the second smallest value? (a) -0.2 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 7:56 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84800129 divided by -1.\nAnswer: -84800129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/4495 and -71\/760120?\nAnswer: 22043480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27020 and 74992080?\nAnswer: 3860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/46 and 37\/3?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 4*q - 2*q)*(-3 + 3 + 1 + 0 + 5 - 3 + (7 - 3 - 3)*(3 - 1 - 4)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**3\/5 - 124*v**2\/5 + 224*v - 2352\/5 = 0.\nAnswer: 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.39 in 3, 0.06, 0, 0.01, 3.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-4*(sqrt(1377)*2 - sqrt(1377)) + -5 - (sqrt(1377) - sqrt(1377)*-1*1 - (sqrt(1377) + (sqrt(1377) - sqrt(1377)*2) + sqrt(1377) + 3))) + -5))**2.\nAnswer: 22680*sqrt(17) + 1241064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.5 - -12. Let g be (-1)\/(-4) + (5 - (-330)\/(-72)). Let p = 7 + -19\/3. What is the closest to p in g, 0, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 45 = r + 2*r, -r = -5*k - 34. Suppose 2*g = 85 - r. What is the tens digit of 6\/g - (-1224)\/44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.621 + 0.873. Let w = k + 6.208. Round w to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 7:02 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117978283 by -470033.\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-24)*3*(-88)\/(-110)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 32. Let k be (-12)\/4 - (-3)\/1. Let b be o(k). List the prime factors of b - (2 - 4)\/(-1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*k + 6 = 0, -3*x - 3*k + 24 = -8*k. Suppose -12 = x*c, 2*l - 4*c = -0*l + 74. What is the remainder when l is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4862, 4864, 4866, 4868?\n\"Answer: 2*d + 4860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 18892*j + 188899. Calculate m(-10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 61*o**2 - 853*o + 5. Let n be t(14). Solve 11 = 3*d - 5*s - n, 4*s = 5*d - 37 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601427580 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) -1 (c) -0.3 (d) -0.0083\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 12:07 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*u**2 - 7095*u + 2 + 0 - u**4 - 191*u**2 + 3 + 7097*u to the form i*u**3 + v*u**4 + m*u**2 + t + x*u and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9629553?\nAnswer: 3, 577, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24119 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14022 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 + 90 + 3*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-15)*1\/(6\/20). Factor 8*z**2 + 6*z**3 - 6*z - 2*z**5 - 4*z**a - 9*z + 4*z + 3*z.\nAnswer: -2*z*(z - 1)**2*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*g**3*r**2 + 4*g**3*r + 2*r**2 - 2*r with respect to g.\nAnswer: 33*g**2*r**2 + 12*g**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, -2\/39, -4?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o + 5*o - o + (o + 4 - 4)*(3 + 1 - 3) + (4 + 5 - 4)*(4*o + 5*o - 6*o).\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 17*m + 23. What is u(13)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*z - 2*c = 10, 5*z + 3*c = -15. Suppose z*w - 4*w + 20 = 0. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1402 + -609. Suppose l + 3*x + 2*x - 808 = 0, 0 = -l - 2*x + z. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1912.8598 to zero decimal places.\nAnswer: -1913","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*j + 50*j - 500 = 138*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t - 7. Let a(v) = -3*v + 14. Let p(o) = -3*a(o) - 5*h(o). Suppose -63 = 12*l - 3*l. Let j be p(l). Put -4, -3, j in increasing order.\nAnswer: -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 418 and 60382.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(-72) + (-3)\/4 + 143\/110. What is the closest to 2 in -1\/13, -0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -67.9 and 9360.8.\nAnswer: -635598.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 57, -4, 1 in ascending order.\nAnswer: -4, 1, 3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -2.3. Let x = -0.2 + y. Let j = -47\/7 - -167\/28. Which is the nearest to 1? (a) -0.3 (b) j (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -14 + (0 - -106) + (-17 - -8) + -1?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2 + 20 = 0. Suppose c + 1 = -s, -3*s - k = -s + 4*c. Let o be -2*s + 55\/5. Solve x = -3*l, 8 = -5*l + 4*x - o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/790 and 27\/32770.\nAnswer: 2588830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/5))**(-35)\/(w**(2\/5)*w**(-2)))\/(((w*w\/(w**(-9)\/w))\/((w*w\/(w*w**6*w*w*w))\/w*w))\/(w**(-1\/3))**(-1\/14)) assuming w is positive.\nAnswer: w**(-6799\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/34 and -47\/1156.\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 7:28 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -144 - -300. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**17*l**(-15\/4))\/(l*l**(1\/18)*l**(2\/33)) assuming l is positive.\nAnswer: l**(4805\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 22. Which is smaller: -6\/23 or v?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51140430 divided by 9045?\nAnswer: 5654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/5 + 266*t**3\/5 - 107*t**2 + 268*t\/5.\nAnswer: t*(t - 1)**2*(t + 268)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 351 + -364. Is (0 - 6) + (c - (-1463 - 4)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -228 - -509. Let t = 302 - s. What is the remainder when t is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 16*m**2 + 448*m - 135. Calculate f(-18).\nAnswer: -3015","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29747 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3))**(-2\/3)\/(o*(o\/((o\/(o*o\/(o\/(o**(1\/3)*o))))\/o*o))\/o*o*o)**(-37) assuming o is positive.\nAnswer: o**(1441\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((15\/(-4))\/(-5))\/(2340\/(-416))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/4371, 0.1, -20, 2 in ascending order.\nAnswer: -20, 2\/4371, 0.1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -4)*(-6)\/5. Let q be 175\/(-14)*(-10)\/(-20). Which is greater: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - -17?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -12*h - 16. Let t be k(-3). Let r be 5\/1*32\/t. Factor -16\/5*i - 18\/5*i**4 + r*i**2 + 0 - 12\/5*i**3.\nAnswer: -2*i*(i + 2)*(3*i - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 58482, 58471, 58452, 58425, 58390?\n\"Answer: -4*n**2 + n + 58485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519*s + 1481*s - 505*s - 456*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (11 - -25) - (-18 - -45).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6140976635 minus 0.3?\nAnswer: 6140976634.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 515999586?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1316455, 2632903, 3949351, 5265799, 6582247?\nAnswer: 7898695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpp when three letters picked without replacement from {y: 4, h: 6, p: 9}?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b9c + 49c?\nAnswer: 136b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 28. Suppose -5*b + 4*b = f - 7, b + 5 = 3*f. Let o(y) = y**2 - 3*y + 2. Calculate the lowest common multiple of o(f) and k(12).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 623\/129 - -36\/43. What is the common denominator of l and -1 - 2 - (-195)\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 82 = 19. What is the smallest common multiple of a and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -375800 rounded to the nearest ten thousand?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3 + sqrt(245))**2 + -3.\nAnswer: -42*sqrt(5) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (14 + (27 - 12 - 34))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1703*l - 1619. What is the hundreds digit of w(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**6\/40 + j**4\/8 + j**3\/6 - 1552*j**2. Calculate h(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-41)\/4)\/((-110)\/(-20)) and 77\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -84*c**4 + 65*c**3 - 28*c**2 - 25*c + 9. Let b(j) = -92*j**4 + 66*j**3 - 28*j**2 - 26*j + 10. Let m(o) = -9*b(o) + 10*i(o). Let m(k) = 0. What is k?\nAnswer: -1\/3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) -4 (b) 4\/3 (c) 30.4 (d) -7\/3 (e) 2\/65\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.66895869 rounded to three dps?\nAnswer: -0.669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 8*o + 26. Let t(l) = 2*l. Calculate t(h(i)).\nAnswer: 16*i + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439711 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 9 = -4*y. Let m = 16 + y. Let x = 30 - m. Solve 25 = -2*o - x*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/1074020 and 137\/3984?\nAnswer: 12888240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 32, 22, 6, -16, -44, -78?\n\"Answer: -3*h**2 - h + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 13. What is u(-13)?\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -32. Suppose y - 2*y = 0. Suppose -2 = 2*h - y. Is h < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8514 is divided by 1549.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -2*s + 2*z - 129, s - 2*z - 18 = 0. Let q be (-2)\/4 + 0\/3. Let y = 1.3 - 0.3. What is the nearest to y in 19\/2, s, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -607 divided by 31861.\nAnswer: -607\/31861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6179 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.17 - 0.83. Let w = -0.1 + 0.3. Which is the nearest to -1? (a) 5 (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d = 185 - 1409. Which is the smallest value? (a) d (b) 0.5 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*p**3 + 6*f*p**2*z - p**3 + 10*p*z with respect to f.\nAnswer: -2*p**3 + 6*p**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000055935 to 7 decimal places.\nAnswer: 0.0000559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2498 - -2517. Solve 8 = -i - 2*q, t - 1 = -2*i - 5*q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 + 182. Let w = f + -241. Solve -r + 3 = -3*b - 2*b, w = -2*r - 5*b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4590 and 62578020.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 6:45 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*j**3 + 60*j**2 + 5*j - 30.\nAnswer: 5*(j + 1)*(j + 2)*(5*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3 + 13. Suppose b + 2 = 6. Suppose b*s + 1 = 5*s. Solve 7 = -3*y + w*d, 3*y - 2*d + s = -0*d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 77 = 535. Suppose -x + 2*q + v = 0, -2*x + 3*q = -0*x - 462. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-2)*(-225)\/(-135)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**2 - 2 - l**2 + 2*l**2)*(16717 + 16688 - 33488) to the form g*l**2 + c + n*l and give g.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 0, 1, -9756, -4, -2 in descending order.\nAnswer: 9, 1, 0, -2, -4, -9756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2725737043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 57575 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/(sqrt(28)\/sqrt(4)))\/(sqrt(120)\/(2*sqrt(12))))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1462, -11699, -39470, -93541, -182678, -315647, -501214, -748145?\n\"Answer: -1461*j**3 - j**2 - 7*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + 66. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 168*h - 2316. Let z be g(18). Solve 8*u + z - 740 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 53*s**4\/4 - 184*s + 69. What is the derivative of m(p) wrt p?\nAnswer: 159*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooodddooo. Give prob of sequence dd.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**4 - 3*g**4 - 3*g**4)*(-4 + 3 - 5)*(13 - g + 92 + 3*g).\nAnswer: 60*g**5 + 3150*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 5 (b) 4 (c) 0.3 (d) 3 (e) -1\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222164 is divided by 114?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 194 = -3*y + y, 3*x - 2*y - 142 = 0. Let b be (-12)\/(-42) - x\/266. Let j = 59 + -58.9. What is the biggest value in b, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 33.11973 months?\nAnswer: 2.7599775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**6\/60 - j**5\/30 - 5*j**3\/6 - 38*j**2. Let f(k) = -k**3 - 2*k**2 - 4. Calculate -3*f(o) + 2*i(o).\nAnswer: -o**3 + 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 527 = 3*l - 552, -5*l = 15. Let u = v + 1091\/4. Find f, given that 0 + 3\/8*f**3 - 9\/8*f - u*f**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 m when two letters picked without replacement from muwun?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 3. Suppose 3*u + 9 = -y - 3, 3*y + 12 = -3*u. Let q be w(y). List the prime factors of (q\/4)\/((-2)\/(-16)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 5 + 2 + (20 + -4 - 35).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 87.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 254, 380, 506, 632, 758?\nAnswer: 884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -8 - (10 + (-1 - 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*p + p = 22, -5*h + 31 = -3*p. Suppose -24 = h*a - 109. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 40. What is the highest common factor of 50 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from cvzyvzccycyy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 973461 and 12969.\nAnswer: 32124213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/6181 and 5\/7947?\nAnswer: 55629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -224, -5, -3 in increasing order.\nAnswer: -224, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 61945.15628 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7592.\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f. Suppose m + 5*k = -m + 13, -4*m + 4*k = -12. Let x be y(m). What is the greatest common divisor of 12 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 177, 448, 827, 1314, 1909?\nAnswer: 2612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -17*o + 101. Let c be p(5). Solve -c*i + 18*i - 6 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 42 - 24 = 0. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n - 1. Let q be -8*2\/(6 - 2). Let c(s) = -6 + 0 - s + 0*s. Let z be c(q). What is v(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -46. Suppose -3*b = -23 + r. Let a be (-10)\/(-4)*(0 - b\/(-5)). Solve 0*k + 3*k = 3*g - a, 0 = 4*g - 5*k - 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6440066 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 6 - (-2 + (-282)\/90)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 2 = -3*j. Let h be (-3)\/j + (-2013)\/(-7). Let l = 10627 - 10591. Calculate the highest common divisor of l and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2571.9519 days in weeks?\nAnswer: 367.4217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -164*j**3 - 1 - 227*j**3 - j**2 + 1 - 2*j**2 - 33*j wrt j.\nAnswer: -2346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2)**(-3\/2))**(7\/4) assuming c is positive.\nAnswer: c**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 638819 is divided by 468.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 50694*l**2 - 128463660*l - 154229400.\nAnswer: -(l - 5070)**2*(5*l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 3*h**5\/5 + h**4\/12 - 25*h**3\/6 - 34*h. Find the second derivative of c(f) wrt f.\nAnswer: 72*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43607864*p**4 - 5*p**3 + 1455474*p**2 + 133*p.\nAnswer: 1046588736*p - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 7:00 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4 + 44*r**3 - 108*r**2 + 100*r - 32.\nAnswer: -4*(r - 8)*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10021*m - 10021*m - 6*m**2 - 7*m**2.\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-2\/11))**(4\/21)\/(c**(3\/8)\/c**(-3)))**(-9))**(-8\/3) assuming c is positive.\nAnswer: c**(-5821\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**4\/38 + 92*w**3\/57 - 425*w**2\/19 - 5000*w\/19 - 661. Suppose f(h) = 0. Calculate h.\nAnswer: -4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-15)\/9)\/(10\/(-12)))\/((-15)\/30). Which is the fourth smallest value? (a) -0.5 (b) 0 (c) 0.06 (d) 2.9 (e) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 69.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 d when two letters picked without replacement from wwdwdwddfwwwdwd?\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 + -34. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-16299)\/(-12))\/((-51)\/(-68))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzeb when four letters picked without replacement from qbqqebzbzqzqqqjejqz?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1797.241478 rounded to one dp?\nAnswer: 1797.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p. Let b(i) = i. Let h(m) = 4*b(m) - 2*j(m). Let s(o) = -4*o. Calculate h(s(d)).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 6637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-3)*-2 - -1. Let p be 0 - (i - -3) - -7. Suppose 0 = p*t - 10*t. Round t to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -f - 4*f. Let q = -3 + 3. Suppose 2*n = 4*u + 20, -4*n + 14 + 10 = -4*u. Put q, f, u in increasing order.\nAnswer: u, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + j**2 - 1. Let x be z(1). Let c = x + 1. Let u(d) = d**2 - 8*d - 10. Let n be u(9). Sort 1, c, n in decreasing order.\nAnswer: 1, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 43859, 43882, 43905, 43928, 43951, 43974?\n\"Answer: 23*d + 43836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -2. Let f = -349 + 10123\/29. Let r = f - -25\/58. Is r less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*m - 8813 = 89067. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33874.3053 to the nearest 1000.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20845*-2.\nAnswer: 41690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -142124 and -8300323955.\nAnswer: -8300466079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1487 (base 9) in base 13?\nAnswer: -691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 9:35 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 2\/575397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5524985?\nAnswer: 5, 53, 20849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 - 2*k + 4. Let y(l) be the first derivative of -l**2\/2 - l + 50. What is -i(d) + y(d)?\nAnswer: -2*d**2 + d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 181+50737.95\nAnswer: 50918.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1644 + -269. List the prime factors of v.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13122 is divided by 175.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/sqrt(6) + 4 + -1*sqrt(19)*6.\nAnswer: -5*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -104*h + 28 - 40 - 53 + 105*h to the form p + d*h and give p.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -7\/6*w**3 + 14*w + 1\/2*w**4 + 0 + 5*w**2 + 1\/20*w**5. Let v be b(-7). Solve 5*m = 2*y - 8, -6 - v = -m - 4*y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = -4*r - 3*f + 17, -5*r = -5*f + 30 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 18. Let t = u + -5. Solve -4*p - 3*v = 2*v - 28, t*p + 2 = 2*v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -1 + 21*v**3 + 3*v**5 - 12*v + 3*v**2 - 15*v**4 + 13 - 12*v = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.5 - 3. Suppose 0 = 2*i + s + 3, -3*s + 369 = -i + 364. What is the third biggest value in k, 7, 1\/4, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/15 - 6\/(-10). Let f be (n - 5) + 1 - (-19 - -3). What is the greatest common divisor of 42 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273080 - 273080 + 51*a**3.\nAnswer: 51*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 143*l + 3983. What is the hundreds digit of r(51)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5*z + 59 = -41, 0 = -4*g + 96*z - 1652 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 41\/(-21) + 28\/98. Let s = 1.7 + 0.3. Which is the nearest to s? (a) u (b) -1\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 3 - 3*t)*(13 - 18 + 4)*(88 - 5*t - 88) as h*t + a*t**2 + p and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-384)\/(-1152))\/((1\/(-42))\/1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64626001757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67199 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2786\/(-10) + (-5)\/((-50)\/6). Let a = 728 + l. Suppose -16*x + 19*x = a. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 10, h: 4}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*r - 6*r**3 + 3*r**3 + 3*r**3 + 5*r**3.\nAnswer: 5*r**3 + 51*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekeeedkedkdkeexxlkk. Give prob of sequence kd.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3792 divided by -12.\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m + m - 3*m)*(376 - 176 + 73).\nAnswer: 819*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44687\/121710 - 2\/4057. Let v = -3\/10 - z. Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88 - 57. What is the remainder when 123 is divided by r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46995815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/(-3)*(-63)\/84.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*y - 9*y**2 - 122*y - y**2.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h**4 - h**4 + 0*h**4)*(2 - 4 + 1) + (-4 - 3*h**2 + 4)*(-5*h**2 + 4*h**2 + 0*h**2) to p*h + z + l*h**3 + d*h**4 + c*h**2 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169795?\nAnswer: 5, 29, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2198 - 2189.03. Let q = -18 - -9. Let b = x + q. Round b to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -47*y + 28. Let w be f(-2). What is the remainder when (w + -9)*(3 + -2) is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5))**(9\/4)*(p\/(p*p\/(((p\/(p\/(p*p\/p**4)))\/p*p)\/p*p)))**(-2\/13) assuming p is positive.\nAnswer: p**(-561\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2 + 20 = 0. Let c be ((-10)\/f)\/((-3)\/9). Solve 4*y - c*n = 22, -4*n - 1 + 2 = 3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.18645 times 45?\nAnswer: -53.39025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n + 18*n = -10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 54912\/(-27)) + (-8)\/(-36). Calculate the highest common factor of 55 and n.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y. Let g(l) = 6*l**2 - 5*l + 5. Let w(n) be the first derivative of 7*n**3\/3 - 3*n**2 + 6*n - 43. Let o(x) = 6*g(x) - 5*w(x). Give o(h(m)).\nAnswer: 25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 + 5 + (-9 - -41) + -1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**2 - 340*d + 2917. Determine y(75).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00359231 to 5 decimal places.\nAnswer: 0.00359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7897\/1044 - 68\/9. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*o + 5*m = 216*o - 2, -4*o = -5*m - 26 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -42470344 divided by 3033596\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 50158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -12, 4*x - 20 = 3*g - x. Suppose g = 2*h + 2*h - 20, -3*h = -5*d + 230. Calculate the remainder when d is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/76)\/((-3)\/(-27)*(-9)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 * 0.8.\nAnswer: -24.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.71109 rounded to the nearest integer?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 65*r**2 - 3565*r - 15150. Let g(a) = -9*a**2 + 510*a + 2164. Let u(b) = 15*g(b) + 2*h(b). Find j, given that u(j) = 0.\nAnswer: -4, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 335\/1005*6\/24\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*x + 12, -3*m = x - 5 - 5. Suppose -2*n - 5 = -1. Let u = n - 0. Sort x, u, 0 in decreasing order.\nAnswer: x, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15819, 30990, 46161, 61332, 76503, 91674?\nAnswer: 106845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 525424*l**3 - 119*l**2 - 523766*l**3 + 2 - 5 wrt l.\nAnswer: 9948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - d**2 + d. Let y(n) = n**3 - 3*n**2 + 3*n + 1. Determine y(u) - 3*z(u).\nAnswer: 4*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107*f**2 - 81*f**2 + 12*f**2)*(8*f**2 + 9*f**2 - 13*f**2)*(1 - 1 + 1)*(0 - 2 + 1).\nAnswer: 704*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.66106 + -9.67. What is k rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t**2 + 5*t + 3498. List the prime factors of o(0).\nAnswer: 2, 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -16*m**2. Let j(r) = 211*r. Give q(j(c)).\nAnswer: -712336*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 3714 = 3711, 5*b - o = 26 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i - 32*i = -4036. Let p = i - -1912. What are the prime factors of p?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -12. Calculate the lowest common multiple of 2 + 1\/((-3)\/i) and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115506 is divided by 23065?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2 - 19*y + 202. Determine g(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z - 6 = 0. Suppose 0 = -2*v - z, -7 = -4*o - 4*v + 1. Solve 9 = -o*n + 2*l, 6 = 3*n - 3*l + 15 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31606469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q**(-3\/19)))**(15\/2)*(q*q**32\/q*q)\/(q**(-4)\/q) assuming q is positive.\nAnswer: q**(887\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -288397137 divided by -13733197.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2359047636 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -1. Let s be 46\/4 - (-1)\/b. Suppose -h + s = -3*l, 7*h - 3*h + l + 8 = 0. Does -1 = h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*z - 102, 122 + 0 = 5*z - 4*n. What is the greatest common divisor of 832 and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -299 - -461. What is the least common multiple of ((-252)\/(-5))\/(96\/240) and l?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/33 and -59\/12996324.\nAnswer: 12996324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**7\/252 + c**6\/120 + c**5\/30 + 13*c**4\/12 - 19*c. Let g(y) be the third derivative of u(y). Factor g(f).\nAnswer: -2*(f - 1)*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + sqrt(242)) - sqrt(242) - 3*sqrt(242)*6) + -1 + 4*1*(sqrt(242) + sqrt(242)*1)**2.\nAnswer: -264*sqrt(2) + 3861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2034 is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-3\/4)*c\/c**(-5\/3)*c)\/(c\/(c*c*c\/((c*c*c**(1\/3)*c)\/c)*c))**(-5\/2))**(-3\/17) assuming c is positive.\nAnswer: c**(-27\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.87 + 12.867454. Round z to four decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -729, -1590, -2623, -3822, -5181, -6694?\n\"Answer: a**3 - 92*a**2 - 592*a - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4104a (base 13) to base 10\nAnswer: -116503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h = -4*h - 48. Solve 4*z = -k - 4, 0 = h*z - 2*k + 3 + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 68\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Calculate prob of sequence tp when two letters picked without replacement from {p: 2, v: 6, l: 2, t: 5, i: 1, e: 1}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 4. Let z(k) be the second derivative of -k**4\/4 + 9*k**2\/2 - 8*k. Let h(d) = -9*a(d) + 4*z(d). Let j(w) = 6*w. Calculate j(h(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.092 and -86.25.\nAnswer: 7.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 45 + 44 - 96 + 12739*i to m + k*i and give k.\nAnswer: 12739","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 - 2. Let d = 0.109 - -4.891. What is the nearest to -1 in o, 0.3, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185822, 743294, 1672410, 2973170, 4645574?\nAnswer: 6689622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 8*o**2 - 20*o - 1. Let m be j(-10). Let b = 8 + -5. What is the tens digit of ((1 - b) + -9)\/m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9\/4, 2, 65, -8.7?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -38. Let t = 12 + -11. What is the biggest value in -2, t, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2836 is divided by 203.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - 30. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8722 - 8718. Determine v so that -1\/4*v**3 + 0*v**2 + 0*v + 0 + 1\/8*v**g = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292026948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k**3 - 141*k**2 - 17*k + 1254. Give d(28).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((4\/16)\/(10\/60)*(-8)\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -67?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 50*i**2 + 26*i - 530. Is j(13) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 + 42. Which is the second biggest value? (a) 3\/5 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w - 2*w + w)*(-160*w + 4*w**4 + 160*w).\nAnswer: -24*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or -296?\nAnswer: -296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 314*r**2 - 5969*r + 2329. What is q(-332)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**3 - s**2 - 8*s. Let g(b) = b**3 + 3*b**2 + 4*b + 7. Let c be g(-3). Let m(q) = 3*q**3 + q**2 + 7*q. Let i(f) = c*m(f) - 4*t(f). Calculate i(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(68) + -5*sqrt(68))\/sqrt(2))\/(sqrt(300)\/sqrt(6)))**2.\nAnswer: 347\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -149 + 146. Let f(m) = m**3 + 6*m**2 + 9*m + 7. Let h be f(l). Let j(u) = -u + 3. Let c be j(3). Solve -2*g - 3*b = 7, c = 4*g - b - 0*b + h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 126, 408, 948, 1830?\nAnswer: 3138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -110 (b) 0.3 (c) 5\/744\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 223136 = -33*g. Calculate the highest common factor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9238, -9237, -9236, -9235, -9234?\nAnswer: -9233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + (-595)\/(-68))*16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*m - 22*m + 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**5*m*m**(10\/7)*m**(-15)*m**(-13) assuming m is positive.\nAnswer: m**(-137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - f = -21, -4 - 26 = -5*m - 2*f. Solve -4*z = m*v - 7*v + 25, -v - z - 1 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-4 + 2 + 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29373, 29372, 29371, 29370, 29369, 29368?\nAnswer: 29367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i + 1. Calculate the remainder when 0 + -3 + -20 + 78 is divided by m(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.2 - -3.24. Let t = x + -0.1. Let s = t - 0.34. Which is the closest to 0.3? (a) 3 (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/5 + 2892*i**2\/5 + 211386*i + 8271376\/5.\nAnswer: 2*(i + 8)*(i + 719)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 4. Let i be n*(-2 - 2 - -3). Suppose 5*l + 4*j = j + 38, 37 = 5*l + i*j. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23022 - -140544?\nAnswer: 163566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -5\/12 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.5 - 0.5. Let j = -16.5 - -16.3. What is the second biggest value in d, j, -1\/2, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -126877, -126853, -126817, -126769, -126709, -126637?\n\"Answer: 6*t**2 + 6*t - 126889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4618, 18564, 41828, 74428, 116382, 167708?\nAnswer: 228424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.181*-0.13\nAnswer: -0.15353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + (sqrt(121) - -6*3*sqrt(121)) - ((sqrt(121)*-4 - sqrt(121) - sqrt(121))*-3 - sqrt(121) - sqrt(121)))\/(-4*sqrt(44) - sqrt(1100)*-5).\nAnswer: 2*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x - 5. Let p(q) = -q**3 + 2*q**2 - 1. Let t be p(2). Let f be -3 - (4 - 8)*1. Let c(l) = -4 + f + 2 + l. Calculate t*r(w) + 3*c(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 15*j**2 - 28*j + 58. What is the least common multiple of u(17) and 38?\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5729 and 86272?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 10:56 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34.2 + -69.\nAnswer: -103.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**36*a)\/a)**49\/(a**(-41)\/(((a**(-18)*a)\/a*a)\/a*a*a*a)) assuming a is positive.\nAnswer: a**1790","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 57*u - 3. What is the units digit of j(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 9 + (-2 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50751 - 50724. Suppose -4*t + 0 = 36. Let i = 18 + t. What is the least common multiple of i and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*v - 129 = -2*c, -218 = -2*c + 4*v. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (21\/6 + -1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) + 404\/3. Let d = v + -943\/7. Put -5, d, -4 in ascending order.\nAnswer: -5, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 419995 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x - 2860 + 4*x + 2856.\nAnswer: 20*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648 is divided by 159?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 = 4*m - 5*k + 137, -3*m = -9*k + 21 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1166*x - 591*x - 604*x + 36656. Solve -1255 = -9*g - x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**5 + 24325*g**4 - 2*g**2 - 7538*g wrt g.\nAnswer: -120*g**2 + 583800*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 298, 2987, 10274, 24457, 47834, 82703, 131362?\n\"Answer: 383*a**3 + a**2 + 5*a - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 4:14 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y = 3*y - 12264. Let p = 1935 - y. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2203 + 9*d - 2201 - 53*d as u*d + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 54688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -3, -0.028, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 - 31*x**2 - 15*x - 14. Let j be z(16). Factor -3\/2 + 27\/4*p - 9\/4*p**4 - 45\/4*p**j + 33\/4*p**3.\nAnswer: -3*(p - 1)**3*(3*p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 2:12 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 + -2)\/2)\/(-22 - -23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -361*h**3*l**2 - h**3 + 9*h**2*l**2 - 65*h + 9*l wrt l?\nAnswer: -722*h**3 + 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 8763*b - 8758. Calculate n(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 13*p**2 - 18*p + 28. Suppose 19*g = 18*g - 13. Is m(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 4, -3 in increasing order.\nAnswer: -3, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 50 + 4\/(-2). Suppose -45*q + 13*q + 1504 = 0. Let t = o - q. Solve -4*n - 5*a - 2 = 0, n + 5*a = -t*n - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -2\/283 (c) 0.3 (d) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -62, -169, -276, -383, -490, -597?\n\"Answer: -107*x + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248530 is divided by 908.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/8*-6*6\/18. Put 1, c, -4, -2 in descending order.\nAnswer: c, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -397 + 396.9605. Let i = -0.040647 - z. What is i rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k - 128066 + 128066.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 2*p - 9 + 1, 4*k - 20 = 5*p. Suppose 0 = -3*w + 2*o + 51, 0 = -8*w + 3*w + 4*o + 87. Solve k*q - w = 5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**2 - 33*r + 22. Suppose 17*f + 168 = -36. Let w be n(f). Is w smaller than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 5 - 3) + -2 + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -38 * 0.133\nAnswer: -5.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156)*2 + sqrt(156))*3)\/((sqrt(192)\/sqrt(4))\/sqrt(4)) - (-1 + sqrt(117) + (sqrt(117) - (-2*sqrt(117) + sqrt(117)))*6))**2.\nAnswer: -60*sqrt(13) + 11701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -20 + -6 + (12 - -9) - 7\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5126\/932*(-100)\/(-22).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/5 - 92218*g**2\/5 + 1063066048*g\/5 - 1062973832\/5.\nAnswer: 2*(g - 23054)**2*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 185 and 25?\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-3)*j**4)**2*((j\/j**(-5))\/j**(-4))\/((j\/j**(2\/9)*j)\/(j**2\/j)) assuming j is positive.\nAnswer: j**(227\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 2:48 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*f**6*j - 3*f**5*j**3 + 2*f**2*j**3 - 180*f*j**3 wrt f?\nAnswer: -1920*f**3*j - 180*f**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -4. Suppose 0 = 4*j + 3*g - 5, 2*j + 2*j = -g + 15. Let f be (-8)\/8*1*j. Sort f, 0, a in decreasing order.\nAnswer: a, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-28054796\nAnswer: 140273980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-833*s**2 + 356*s**2 + 947*s**2)*(3*s + 1 - 2 + 0).\nAnswer: 1410*s**3 - 470*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 16. Let n be (-14)\/8*(5 + j). Let b be ((-6)\/4)\/((-1)\/(-2)). Sort b, n, 0 in increasing order.\nAnswer: n, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*25\/(-70))\/(10\/(-35))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1327 + 3661. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8568448 divided by -112\nAnswer: -76504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 35 = 3*i, 1832*o - 1830*o + 2*i = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (-5 - -4)*-534. Let h = -1678 - q. What is the tens digit of h\/(-14) + 40\/(-70)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -43*c + 9. Let q = 42 - 38. Let a be k(q). Let d = a - -260. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*i - 34768 = 506*i + 278*i for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1584 + -2?\nAnswer: -1586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5194469\/37962 - 1\/18981. Let m = -136 + i. Let u be 9\/21 + 48\/(-63). Which is the second smallest value? (a) u (b) m (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1820 and 1460375.\nAnswer: 75939500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -878*f + 64. What are the prime factors of w(-2)?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(147)*1)**2*-4 + sqrt(9)\/(2*sqrt(108) + sqrt(108)).\nAnswer: -587 + sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(1\/7))*t**16*t*t*t*(t*t*(t\/(t**(3\/13)\/t*t*t)*t)\/t)\/t*t*t**(-7))**(-37) assuming t is positive.\nAnswer: t**(-46842\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-2)*(-6)\/(-12)*250. Suppose -18*j + x = -13*j. Solve -5*h + 0*h = j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 10. Let j(z) = z**3 + 10*z**2 + 5*z + 6. Let n(r) = -3*r**3 - 29*r**2 - 14*r - 17. Let x(t) = b*j(t) + 4*n(t). What are the prime factors of x(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 432.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12753 + 12775 - (1 + 0 + -2 - 8).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -587 + q**3 - 583 + 1170.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**3 + 4*y**2 + 0 - 2*y**4 - 5*y**2 + 2 - 5 as s*y**3 + u + a*y**4 + o*y + k*y**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/2482436827?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 60 + (0 - 3) - 1. What are the prime factors of 2\/6 + w\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58420 to the nearest one thousand.\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -271, -598, -985, -1438, -1963, -2566?\n\"Answer: -l**3 - 24*l**2 - 248*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + -227. Let o = 252 + d. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 475372.5331 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(9\/6 - 1). Suppose -3*n + 10 = 1, 0 = h - n - c. Factor -1\/2 - 1\/2*x**4 + 1\/2*x**h + 1\/2*x + x**2 - x**3.\nAnswer: (x - 1)**3*(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 9*y**2 - 2*y - 5. Let t(m) = m**3 + 5*m**2 - m - 3. Let l(i) = -i**2 - 34*i - 67. Let d be l(-32). What is d*s(k) + 5*t(k)?\nAnswer: 2*k**3 - 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 407 or -11?\nAnswer: 407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261\/(-87)*((-1595)\/15)\/(-11).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22041*c*m**2 + 35*c*m*s**2 + c*m*s - c*s + m**2*s**2 - 236*s**2 wrt m.\nAnswer: -44082*c + 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 498054013 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 433030 - -4?\nAnswer: 433034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p + p**2)*(0*p - p - p) + 10*p**2 - 6*p**3 - 10*p**2 + (2*p - 3*p + 3*p)*(-p**2 + 3*p**2 + 0*p**2).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25682?\nAnswer: 2, 12841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 24 = -4*y. Let f(p) = p**2 + 6*p + 1. Let r be f(y). Suppose 2*b = 51 - r. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111972629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 6*d + 116. Give h(11).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -2\/3*s**3 + 0 - s + 0*s**2 - 1\/6*s**4 + 1\/10*s**5. Factor x(v).\nAnswer: 2*v*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 390\/(-52)*110\/(-495)*1*-6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 12 = -2*c. Suppose -3*t = -c*t - 8. Let y(f) be the first derivative of f**3\/3 + 3*f**2 - 11*f - 37. Determine y(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(320))**2*6 - 4*sqrt(320)*2.\nAnswer: -256*sqrt(5) + 1944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5768 and 412?\nAnswer: 5768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-90)\/4)*-5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22114*h**2 + 17961.\nAnswer: -44228*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -1, -11, 47, 3, -9 in descending order.\nAnswer: 47, 18, 3, -1, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11c + 535?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 3. Give l(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -520 divided by -10\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55 + 1944*p**2 - 970*p**2 - 11*p + 7*p + 15*p**3 - 973*p**2 - p**4 to k*p**3 + h + z*p**4 + g*p + x*p**2 and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 7 = -t, 0 = -t + 45*a - 49*a - 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**6\/180 - 4*q**5\/45 + 37*q**4\/36 + 44*q**3\/9 - 514*q**2. What is p in m(p) = 0?\nAnswer: -11, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(350) + sqrt(350)*-2*-3)*4)\/((2*sqrt(72) + sqrt(72))\/sqrt(4)*-4).\nAnswer: -35*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/p**(-1\/2)))**(-4\/3)\/(p**(1\/4)\/p)**17*(p**(2\/9)*(p**(-4\/5)\/p)\/p)**(-31) assuming p is positive.\nAnswer: p**(16559\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -364.4 - 0.2.\nAnswer: -364.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9392 by -1774.\nAnswer: 4696\/887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 99776244.2?\nAnswer: -99776247.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55\/48 - -5\/6. Suppose -3*k + 51 = 4*v, -4*v + 0*v + 4*k + 44 = 0. What is the common denominator of h and (-53)\/(-20) + 3\/v?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259430.\nAnswer: 2, 5, 25943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -454\/2447?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4.3+-1608725137\nAnswer: -1608725132.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50))**2 + 3 + (sqrt(14)\/sqrt(7) + 0)**2.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (-680)\/(-2) + 1. Let k = f + -1684\/5. Suppose 8\/5*c - k*c**2 - 2\/5 = 0. Calculate c.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 715 - 144. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -7*b**5\/24 - 43*b**4\/24 + b**3 - 32. Let z(u) be the third derivative of t(u). What is the derivative of z(n) wrt n?\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 3*r + 220. Let o be d(0). Is 219 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.1+-10775967\nAnswer: -10775955.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(72)\/(sqrt(36)\/sqrt(4)) + sqrt(8)))**2 + -2 + -5*(sqrt(7) + 1).\nAnswer: -5*sqrt(7) - 21\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 16367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -451 and 1576.95?\nAnswer: -711204.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from didiyaaay. What is prob of sequence ydia?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 50\/7 (b) 0.02988 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 - 48. Let t(d) be the third derivative of -1\/48*d**4 - 2*d**2 + h*d + 1\/120*d**5 + 0 - 1\/12*d**3 + 1\/240*d**6. Factor t(i).\nAnswer: (i - 1)*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1181 = -73*i - 13*i + 1313 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -100? (a) -4 (b) 0.49 (c) -221\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 11, -0.1613?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*a = -2*x, 2*a - 30 = -2*x. Let p be 4\/5 + 9352\/x. Suppose -p = -7*f - 5*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*s = 109, 4*y = -s + 3*s - 86. Let x = y - -34. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -73288 and -7024.\nAnswer: -80312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2995 - -2997. Which is the second smallest value? (a) -89 (b) l (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p. Let b(i) = -96*i - 3. What is b(s(t))?\nAnswer: 192*t - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227368 is divided by 895.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202194844?\nAnswer: 2, 29, 1743059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.8 and -7576026.8.\nAnswer: -7576021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 594 - 592. Find c, given that -65*c**4 + 34*c**p - 214*c**2 - 172*c**3 + 16*c**3 - 5*c**5 + 14*c**3 - 98*c**3 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 127*5*(-35)\/(-25). Suppose 2*t = -5*k + c, 4*t - 2*k - 1718 = -0*k. Does 24 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -398 + 858. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - 30. Let p(w) = -w**2 + 12*w - 16. Let t be p(a). Solve -y = 4*i + t, -5*i - 6 - 14 = -5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*j**2\/21 - 32*j\/21 + 200\/7.\nAnswer: -2*(j + 6)*(11*j - 50)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*v = -15, 3*v + 35 = 5*a + 8*v. Suppose 0*n = 4*n - a*b - 157, -2*b - 40 = -n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1782 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -2. Suppose 4*x - 5*k - 178 = -z*k, 0 = x + 2*k - 37. What is the third derivative of -52*g**3 + 0*g**2 + g**2 + x*g**3 wrt g?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 v when three letters picked without replacement from {n: 1, t: 1, w: 1, g: 1, v: 2, z: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 26961 = -f, -3*q = -3*f + 4*f - 26977. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 1 + 3 - 1 - 2. Let m(k) = -5*k + 8. Calculate m(t) + 6*o(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 24. Suppose 0 = -k + 4, -c*h - k = -0*k - 236. List the prime factors of h.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -305, -1761, -5727, -13463, -26229, -45285?\nAnswer: -71891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28886 - 28884. Let q(o) = -o. Let h be q(2). Which is the closest to 10? (a) w (b) 3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -294413246406 plus 0.03?\nAnswer: -294413246405.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 2:41 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**7\/315 + j**4\/12 + 4*j**2. Let l(s) be the second derivative of v(s). Let f(p) = p**2. What is l(f(q))?\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 60 = 12*m. Let s(b) = b**2 - 11*b - 11. What is s(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 4*p + 1. Let d be (-7 - -6) + 3 + 0. Suppose -d*a - h - 16 = h, -5*h = a + 28. Is 20 a factor of f(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62700 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 4*o - 12, -4*o + 0*o + 16 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 16*z**2 - 3*z - 32. Let i be q(-16). Calculate the greatest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1288650 and 13\/117150.\nAnswer: 1288650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13e2 + -4?\nAnswer: -13e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-6)\/(-3)) - 15\/24.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*g**2 + 12*g**2 + 6*g**2)*(-g + 0*g + 3*g) - g**3 - g**3 + 4*g**3.\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 472829079 to the nearest integer?\nAnswer: 21745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 494*m + 9363. Calculate j(-18).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1172888704 to the nearest integer?\nAnswer: 34247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1106 divide 2258452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/3 - (-20)\/12. Suppose -n*t + 0*s + 3 = -s, -5*t = 5*s - 45. Which is the biggest value? (a) t (b) 0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 4. Calculate the remainder when 17 is divided by u(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(78) + (sqrt(78) - -2*sqrt(78))*4))\/((sqrt(72)*1)\/sqrt(12) - (-3*-1*sqrt(6) + sqrt(6))).\nAnswer: 52*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13311*m - 3697*m - 13695*m - 1705*m.\nAnswer: -32408*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -102111312 (base 4) in base 6?\nAnswer: -1335450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**27\/t)\/t)\/((t\/((t*(t\/(t\/(t**(3\/2)\/t)))\/t)\/t))\/t))\/(t**(10\/3))**21 assuming t is positive.\nAnswer: t**(-89\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 852.3205m?\nAnswer: 85232.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 42, -30, -428, -1380, -3114?\n\"Answer: -38*m**3 + 65*m**2 - m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11133589 * 0.6.\nAnswer: 6680153.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 - 62904468*f**2 - 494621448890904*f + 989243149399696.\nAnswer: -2*(f - 2)*(f + 15726118)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6621442 micrograms in grams?\nAnswer: 0.0000006621442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 51. Let m(r) = -49*r**3 - r**2 - 4*r - 3. What is the units digit of m(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/sqrt(99) - 3*(1*sqrt(17))**2) + (sqrt(187)\/(sqrt(11) - sqrt(176)*1 - sqrt(11)))**2.\nAnswer: -799\/16 + sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 18 = 12. Let w(i) = -11 + 3*i - j + 16. Let l(s) = -s + 1. Determine -2*l(q) - w(q).\nAnswer: -q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -33, -3\/2 in increasing order.\nAnswer: -33, -3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -12. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 1. Let k(g) = -251*g**3 + g**2 + 5. Let d(x) = -k(x) - 5*m(x). Let v be d(-1). Let s = -102 - v. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4\/5 + 260764*x**3\/5 - 5666314788*x**2\/5 + 8207467954180*x + 82097346887128\/5.\nAnswer: -4*(x - 21731)**3*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -83674 - 7?\nAnswer: -83680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 10) in base 4?\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyoooyyyyyyy. Give prob of picking 3 o.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -618962*j**4 + 26437*j + 14?\nAnswer: -7427544*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ylyyyyyylyyyyylllyy?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 7:47 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 h, and 2 n when four letters picked without replacement from dddhnmddmjdm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/10 + 9\/(-15). Sort -4, -8, a.\nAnswer: -8, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 34*k**6\/3 + 177*k**2\/2 + 7*k - 131. Differentiate v(z) wrt z.\nAnswer: 1360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -312, -313, -314, -315, -316?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019459 to 3 decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1043420 and 1428406?\nAnswer: 3598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4\/3 - 17\/3*o - 22\/3*o**2 - 3*o**3 = 0.\nAnswer: -1, -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 634 divide 17039098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15692.77 centuries in decades?\nAnswer: 156927.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*q - 19 = 0, j - 2 - 3 = 5*q. Let m = -5 - j. Let o(g) = -g. Let t(r) = r**2 - 4*r - 2. Let h(k) = m*o(k) - t(k). Suppose h(f) = 0. Calculate f.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 890\/15 + 1\/(-3). Suppose -o = -3*g - s, g - 5*s - 37 = -s. Calculate the remainder when g is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(15\/4))\/n*n**(-37))**(-7\/2) assuming n is positive.\nAnswer: n**(931\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 106 (base 15) to base 8\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + 17*r - 40*r)*(r - r + 2*r**2).\nAnswer: -36*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b - 3. Let q be i(3). Let u(m) = -m**2 - 12*m + q*m + 6*m. Let l(a) = 2*a. Give l(u(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.5, -10, 67, -163, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -294750.9 rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*v - 4. Let c = 2 - v. Let n = -4 + c. Sort -3, 5, n in decreasing order.\nAnswer: 5, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**3\/4 - 1771*y**2\/4 - 2209*y - 2649 = 0. What is y?\nAnswer: -1766, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 7. Let u(s) = -s**2 - 11. Let o(p) = -p**2 - 6. Let b(h) = k*o(h) - 6*u(h). Let z(j) = 2*j**2. Calculate z(b(g)).\nAnswer: 50*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s**2 - 7*s - 15. Let q = -338 + 347. What are the prime factors of i(q)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 - 14974*w**2 - 149815*w - 374600.\nAnswer: (w - 14984)*(w + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4 + 4704*c**3 + 5560056*c**2 + 66213504*c + 198133776 = 0. What is c?\nAnswer: -2346, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-2*sqrt(99)*-2 + (3*(sqrt(99)*1 - sqrt(99)) - sqrt(99)) + sqrt(99)))\/(5*sqrt(81)\/(sqrt(9) - (sqrt(576) + sqrt(576)*2))))**2.\nAnswer: 372416\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(112\/(-52))*(-42 + 8 - -55).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1004.6893 * 10.\nAnswer: 10046.893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 i when two letters picked without replacement from {o: 2, b: 1, i: 2, g: 2, s: 3, e: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 5*s**2 + s - 2. Let i be a(5). Suppose i*f = 6*f - 42. Is 11 a factor of (-3 - -8)*f\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*f - 231. Suppose -6*r = -273 - f. Suppose -r = -5*c - 24. Solve 6*z - c = 2*a + 2*z, a + 4*z = 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020187171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/17 in -2\/187, 4\/7, -2\/9, 2, 3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 834 = 2*t - 2*u, -3*t = 4*u + 1252. Let w = 706 + t. What is w rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5897 + -5672. Calculate the smallest common multiple of u and 3025.\nAnswer: 27225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.97 + 6. Let c = 1830.47 - 1831. Let q = u + c. Is 6 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1440529.\nAnswer: 17, 84737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 4*r + 4*o, 0 = 6*r - r + o - 73. Suppose 20 = -4*y + 2*m - 4*m, -4*y - r = 5*m. Let p(f) = f + 10. Determine p(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 1\/8921, -0.5, -0.4 in decreasing order.\nAnswer: 1\/8921, -0.4, -0.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18939 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.998 - 18.05. Let f = -2.2 - 9.8. Let v = b + f. Round v to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -119 + 121. Suppose 0*w = -j*w - 5*k - 23, 4*w = k + 9. Suppose o - 4 - 24 = 5*l, -l = 3*o - 20. Sort w, o, 0 in decreasing order.\nAnswer: o, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -945 - -935. What is the common denominator of -47\/28 and ((-374)\/(-44) - a\/(-2))*-3?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40310543 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2517*j + 27 - 24 - 3 in the form z + f*j and give f.\nAnswer: -2517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147147083 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66 - 80) + 19 + (-2 - 19)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prbffzn. Give prob of sequence fnb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-3\/11)\/m*m**(-2\/9))\/(m**(8\/5)*m**3*m) assuming m is positive.\nAnswer: m**(-3017\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258*n = -261*n + 18. Calculate the highest common divisor of 15 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4015764 and 9816312.\nAnswer: 88346808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -11*l + 98. Let x be f(4). Let a be 52\/24 - 9\/x. Let p(v) = -3*v**2 - 7*v + 2. Let m(d) = d**2 + 3*d - 1. Let z(o) = 5*m(o) + 2*p(o). Determine z(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q + q + 2*q)*(q - q + 7*q**3 + (-2*q + 5*q - q)*(0*q**2 + 0*q**2 + q**2)) to o*q**4 + h*q**2 + s + j*q + g*q**3 and give o.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76322328 to the nearest integer?\nAnswer: 8736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4. Suppose m = -5*w + 3*w + 12. Let a = 30001 - 29995. Calculate the greatest common divisor of w and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 17 = -4*p, -3*p - 2*s + 15 = 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/4, -2, 2.2, -1 in descending order.\nAnswer: 2.2, -0.1, -1\/4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/161238 and -101\/222?\nAnswer: 5965806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255314 is divided by 583.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 184247075?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4)\/o)\/o**(2\/3))\/(o**(1\/8)*o**(5\/3)*o) assuming o is positive.\nAnswer: o**(-203\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3 + 3 - 1 - o. Let s be z(-5). Suppose -2*y + s = 3*a - 4, 13 = 5*y + 4*a. Solve 9 + y = -5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*n = 219*n + 4. What is the third derivative of 20 - 145*w**n + 72*w**2 + 74*w**2 + 4*w**6 + 2*w**3 wrt w?\nAnswer: 480*w**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4672356 and 208?\nAnswer: 18689424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/2*4\/6. Is -3 + (-19510)\/(3 + j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 + 0 + 46 + -3 + -14.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370270 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32301 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 4*m - 48. Does 5 divide (-8)\/3*(-63)\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/14 + 10\/(-4). Let b be -3*(1\/(-1) - f). Let o = b - -15. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5989 is divided by 55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 1 + 1)*(4 - 4 - 2*j) - 3*j + 3*j - 2*j**3 - j**3 + j**3 - 2*j**3 + (-104*j**2 - 67*j**2 + 21*j**2)*(4*j - 6*j + 3*j).\nAnswer: -158*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2403884 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 17) + 1 - (-62 + 55)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, t: 3, q: 3}. What is prob of sequence qq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**2\/3 - 2560*v\/3 + 5957 = 0?\nAnswer: 7, 2553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of u**3 + 109835776*u**2 + 205971740?\nAnswer: 3*u**2 + 219671552*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 917 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 713, 599, 407, 137, -211?\n\"Answer: -39*x**2 + 3*x + 749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -768.71 + 751.8. What is o rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**3 + n**3 - 3*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269186*r - 267043*r - 225015 = 0 for r.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + o - 3. Let t(w) = -3*w - 2*w + 3 + 4*w**2 - w**3 + 2*w. Let c be t(3). Let r be (12\/10)\/(c\/(-10)). Determine m(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.02, -33, -0.3, -2\/7, 10, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.88957 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -289, -665, -1125, -1669, -2297, -3009?\nAnswer: -3805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 35. Let s = 17 - o. Solve 0 = 4*p - i - 11, 3*p - 2*i - 10 - s = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-12)\/78 + 1.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lee when three letters picked without replacement from {l: 6, e: 7}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 8. Determine g(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2599932 + 1?\nAnswer: -2599931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 744, 1498, 2262, 3036, 3820, 4614, 5418?\nAnswer: 6232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/4 + 12\/(-8). Suppose -v*j + 14 = q, -3*q + 2*j + 19 = -2*q. Let c = q - -43. What is the least common multiple of c and 14?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 7, k: 2, x: 2, u: 1, f: 2, b: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 122268*s - 122269*s, -4*s = y + 36 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 2:25 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10, 24, 60, 130, 246?\n\"Answer: 2*j**3 - j**2 + 3*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 6*d**2 - d**2 + 12*d - d**3 - 6 - 2*d**2. Let i be f(6). Let q be (i\/5)\/(6\/(-15)). Solve -p + 4 - 1 = -5*s, -3*s + 3 = -q*p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 9. Suppose -a*z + 20 = -0*z. Let x = 14 - z. Solve -2*n + x = 2*y, -3*y - n + 6 = -3*n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 11, q: 6, u: 1}. What is prob of picking 1 q, 2 m, and 1 u?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g - 1. Let h(l) = -l + 1. Let c(d) = 9*h(d) + 4*w(d). Let n be c(0). Let t be ((-18)\/(-4))\/((-2)\/(-4)). Solve 2*a = b, -5*a + 4 = -n*b + t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3527?\nAnswer: 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 + 3. Let b(l) = 2680*l**3 - 5363*l**3 - 5 + 2681*l**3 + 3. Let k(g) = g - 7. Let x be k(9). Give x*n(r) + 3*b(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446 - 418 = -12*y. Let v = 84 - y. Calculate the highest common factor of v and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 + -10101111010011001111?\nAnswer: -10101111010011000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21.69 - 24. Let i = m + 2.21. Which is the nearest to i? (a) -1\/2 (b) -0.07 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 + 0.48. Let h be 4\/(-14) - (-16)\/154. Sort h, m, -1\/2 in descending order.\nAnswer: m, h, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 13) in base 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 15*s**2 + 2*s - 15. Let l(k) = 2*k**2 + 5. Determine 4*l(h) - p(h).\nAnswer: -7*h**2 - 2*h + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43 - (-4 + 20)) + -3.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 8*g - 16. Suppose 5*f + 5*w = -6 - 4, f = w. Let o be (8 + f)\/(14\/14). List the prime factors of n(o).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 + -56. Let a be (-3)\/(-4)*(x + 1). Suppose -3*w - 9 = -a. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24\/13 in -2, 1, 0.2, 14, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516874.\nAnswer: 2, 258437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*d + 28, 2*o + 0*o + 2 = -4*d. Solve 0 = n - 3*v - 6, 0*v = 4*n + 3*v - o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 20*g**2 + 3*g - 11. Let r(b) = 20*b**2 + 2*b - 10. Let n(j) = -6*l(j) + 7*r(j). Let w be n(-2). Is (-12)\/(-2 + w\/45) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -3. Let r = -0.3 - -1.3. Let i = 0.6 - 1.1. Which is the nearest to r? (a) s (b) i (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -7, 56, 175, 368, 653?\nAnswer: 1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-7)\/(-14))\/(82\/943).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 + 4322*f\/7 - 36600.\nAnswer: -2*(f - 2100)*(f - 61)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -111 - 31. Let t = 142.00000396 + x. Round t to 7 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 662267927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4\/3 - 24*m**3 + 188*m**2\/3 - 40*m.\nAnswer: 4*m*(m - 15)*(m - 2)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0 = 10, y - p = 4. Suppose y*h = -h + 30. Is h less than 12\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/3)\/(h\/h**(-39)) assuming h is positive.\nAnswer: h**(-119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4524.78 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.288287 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(832)*-1 - sqrt(13)) + (sqrt(208)*4 - sqrt(13)) + 4)**2.\nAnswer: 48*sqrt(13) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-15)*4110\/1096?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 483 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11566200.\nAnswer: 2, 3, 5, 37, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1348a7c8 + -1?\nAnswer: -1348a7c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 272524380 to the power of 1\/2, to the nearest integer?\nAnswer: 16508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2*a - 26 = 0, -153*a + 148*a = 2*o - 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 487102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + k - 1. Let w(m) be the second derivative of m**4\/4 + 7*m**3\/6 + 7*m**2\/2 + 43*m. Let t(v) = -4*n(v) + w(v). What is the units digit of t(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.28 (b) -2\/13 (c) -1\/57 (d) -0.15 (e) -2 (f) -64\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2856 and 35700.\nAnswer: 71400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbhhhhbbbb. Give prob of sequence bbh.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19.3 + -14.3. Suppose 0 = -67*y + 71*y + 32. What is the closest to 2\/7 in y, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-9 - (6 + -12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -9. Suppose -3*h + 14 = -1, 0 = i + h - a. Suppose -4*b = -5*d + 52, 4*b - 18 = -i*d + 2*b. What is the highest common factor of 24 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1563049?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 211\/6 - 35. Find the common denominator of 59\/3 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 16 = -438280*q + 438278*q, -2*q - 96 = 6*z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -223361.1259 to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + -4 + -13 + 18. Let h(t) be the second derivative of -1\/12*t**4 + 1\/4*t**5 - 27*t + 1\/2*t**2 + 0 + 0*t**3. Determine h(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 18 = -3*c - 7*l, 2*l - 14 = -3*c. Suppose 4*s = c*s + 10, 3*h - 2*s - 590 = 0. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 5:35 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3014743617 to the power of 1\/3, to the nearest integer?\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*s + 28*s - 87 + 663 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -275451288268 minus -0.4?\nAnswer: -275451288267.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/9)*y\/((y\/(y*y\/y**2))\/y)*y)\/(y*y**(1\/11)*y*y\/y**2)*((y**2\/y)**(-2\/11))**(-1\/5) assuming y is positive.\nAnswer: y**(358\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 951 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57.32 + 0.68. Let r = -121 + u. Let t = -63.0000098 - r. Round t to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -106 + 214. What is the greatest common divisor of 72 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1247\/90 + 32\/9. Let o = -59156 + 6980503\/118. Calculate the common denominator of z and o.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a meter in millimeters?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 952949.33 to the nearest ten thousand.\nAnswer: 950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 7*w - 3. Let o(x) = -4*x**2 + 5 + 6*x + 6*x**2 + 9*x - 5*x. Determine -8*j(z) - 5*o(z).\nAnswer: -2*z**2 + 6*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 35950643?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43304 (base 5) to base 10.\nAnswer: -2954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c30 (base 16) in base 12?\nAnswer: -14040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331855 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1034 = -45*w - 134 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2266*a + 385 = -2231*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -25 + 6 - (2 + -1). What is the tens digit of (36\/(-3) + -2)*190\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -74a - -19?\nAnswer: -731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znz. What is prob of sequence zn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/1)\/(12\/(-16))*(-20)\/10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 765*t**3 + 688*t**3 + 776*t**3 + 771*t**3 - 3011*t**3.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -61.17044 times 0.134\nAnswer: -8.19683896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*l - 285 + 24 = 194 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = r + 16, -h + r + 2*r - 7 = 0. Suppose 4*x + 1 + 9 = -h*u, u - 5*x - 27 = 0. Let a(s) = s + u*s + 0*s - 5*s. Let d(t) = -55*t**2. What is d(a(n))?\nAnswer: -220*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 3636bb1?\nAnswer: 3636bb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 - 115 = 107*z - 1997 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 4 + 4*g - 5*g + 299*g**2 - 3063*g**2 + 30 - 27.\nAnswer: -2764*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 29\/5 of a microgram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cttctcc. What is prob of picking 2 t and 1 c?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 505492 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 246 = -4*o + 146, 4*o = 11*k + 550 for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*b + 15193*b**3 + 10*b**5 - 15193*b**3 wrt b.\nAnswer: 200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -1. Let y be 12*((-4 - q) + 4). Suppose 3*t + y = 2*k, -5*t + 28 = 4*k - t. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67700700 to the nearest integer?\nAnswer: 8228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-8 - (2 - 17))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19713044?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-3420)\/(-855))\/(6\/(-39))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -2*(2 - (-153)\/(-72))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 657567 by 114.\nAnswer: 219189\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 146.072.\nAnswer: 147.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -3 + sqrt(21)\/sqrt(3))**2 + 5.\nAnswer: -12*sqrt(7) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -56 + 22 + 106 + -52\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 386 + 383 - 771 + 4*b. What is f(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3\/13, 5 in descending order.\nAnswer: 5, -3\/13, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(495)*-1)\/sqrt(9))\/(sqrt(5) + 2*sqrt(605) + sqrt(605)) + (5 + sqrt(44)\/sqrt(4) - sqrt(220)\/sqrt(5)))**2.\nAnswer: -140*sqrt(11)\/17 + 31971\/1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 8*w + 15. Let b be j(-3). Let i(l) = 110 - 116 - l**2 - l + b*l**2 - 5*l. Calculate i(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/10*36\/3. Solve 4*x - z = 2*k, -k = 3*x + 1 - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 74, -2, 2, -3, 4 in ascending order.\nAnswer: -38, -3, -2, 2, 4, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -298290 by -49715.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0555 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 308374428 and 4494.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185 and 508565?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 48, 0, 5, 196.\nAnswer: 0, 1, 2, 5, 48, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -11. Let s be (-7)\/2*a\/14. Suppose -s*w = -3*w + 7. Solve -w*b = -2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33736, 3, -206 in descending order.\nAnswer: 33736, 3, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/3)\/((-1348)\/10784).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -29910, -29915, -29920, -29925, -29930?\n\"Answer: -5*k - 29905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 107, 108?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -133 (b) 4.2 (c) -212\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2222*g**2 - 38*g**4 - 2222*g**2 + (-4*g - g + 3*g)*(-g**3 - 2*g**3 + 5*g**3) to the form k*g**2 + f + c*g + o*g**4 + a*g**3 and give o.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -16*n + 11*n - 4 + n**2 + 14*n - 3. Let y be h(-10). Solve -29 - y*f - 10*f**2 - 2*f + 39 + 5*f**3 = 0 for f.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times 42513.6\nAnswer: 34010.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(117)\/(sqrt(9)*-2 + sqrt(9)) + -2).\nAnswer: 8 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.38 + 2.38. What is the nearest to -3 in -4, q, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 10*h. Let b(a) = -5*a**2 + 3*a. Let p(x) = 14*x**2 - 8*x. Let v(w) = 8*b(w) + 3*p(w). Give j(v(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 + 13*i + 2. Let a be h(-8). Let j = a - 23. Solve 2*z - j*p = -z + 3, -4*p + 28 = 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * 0.17\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-242)\/10 + 1\/5. Let o = 32 + r. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-408 + 4*o**2 + 8*o + 813 - 421)*(-3*o**2 + o**2 + 0*o**2) in the form j*o**4 + k*o**2 + h*o + t*o**3 + y and give k.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 37 - 26 = -14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = 2*y - 1034. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 635, 2, -12, 4, -31 in increasing order.\nAnswer: -31, -12, -5, 2, 4, 635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0427711309 rounded to three decimal places?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 - 82 = 21*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3224249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1112567811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**2 - 6*q + 6. Let r(x) = -2*x**2 - x + 2. Let j(v) = -v**2 + v. Let l(o) = -j(o) + r(o). Suppose -2*m + 0*m + 16 = 0. Determine m*l(f) - 3*b(f).\nAnswer: f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 292 - 289.66. Let f = p - 121.34. Let i = -118.9899 - f. Round i to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 3*z + 9, 114 - 108 = 7*k + 3*z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3.73*0.11\nAnswer: 0.4103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from {j: 1, r: 1, o: 1, y: 4, l: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 4*n = 20, 8*m - 3*m = -n - 21 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -3.28?\nAnswer: 3.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*i + 15*i + 60. Suppose 0 = -5*l - 3*v + 6, 7*l - 3*l - v - 15 = 0. Suppose g - i = l*b - 0*b, 0 = -g + 5*b + 16. Solve -g = -q - 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -14798\/13, 0.1, -0.0349?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*c = 0. Suppose -4*m + c*m = -812. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(4)*-4) + -5.\nAnswer: -5 - sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7424 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 24 = -4*w - 16, 6 = -3*o + 5*w. What is the nearest to o in 0, 2\/5, 1\/10, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 15*z + 5. Let o be v(0). Which is the nearest to 0.3? (a) o (b) -1\/2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 122*c + 69*c**2 + 122*c + 246*c**2 - 9316 - 242*c wrt c.\nAnswer: 630*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85.088 - 85. Let f = p + -0.088. Which is the biggest value? (a) -5 (b) f (c) 0.1 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -38 - 34. Suppose 0 = 14*i - k*i + 252. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18\/677? (a) -2\/21 (b) 1\/4 (c) -1 (d) 0.04 (e) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 199, 728, 1609, 2842?\nAnswer: 4427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 2*l**2 - l + 2. Let n(b) = -b + 9. Let h be n(6). What is the remainder when 29 is divided by k(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*t - 5757 = 7745 for t.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 10:53 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/130 + 264\/(-26). What is the units digit of (-2)\/(-3*v\/(-1065))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 38. Suppose l = -0 + k. Calculate the remainder when 46 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6200703 - -6199013.1239. Let u = -1690 - b. What is u rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**4 + 46644*q**3 - 135950836*q**2 - 191513364*q + 161842670360 = 0.\nAnswer: -35, 34, 5831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 7. Let o be l(5). Let v = o - 12. What are the prime factors of ((-4)\/v)\/((-4)\/(-120))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 605, 2578, 7295, 16124, 30433, 51590, 80963?\n\"Answer: 228*n**3 + 4*n**2 + 365*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 53*k + 430. Let z be h(8). Suppose 145*x - 131*x = -z. Which is smaller: -67 or x?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2226*k**3 - 50*k - 4.\nAnswer: -13356*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (55 - 13 - (6 + -18)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - j + 0)*(23 + 10 - 2)*(-3 + 1 - 1) to l*j + c and give l.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itta when four letters picked without replacement from {i: 7, a: 2, t: 9}?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-257)\/(3822\/(-1272) + 3). Let a = 1961557\/36 - q. Calculate the common denominator of a and -49\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79812 - 46285. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -30, -85, -172, -303, -490, -745?\n\"Answer: -2*u**3 - 4*u**2 - 29*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7124, -28516, -64176, -114110, -178324, -256824, -349616?\nAnswer: -456706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19566, -22898, -26228, -29556, -32882, -36206?\nAnswer: -39528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (1 - (-9 + (8 - 7)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.22*-0.0575\nAnswer: 0.01265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-7\/3)\/g)\/g**(-1) assuming g is positive.\nAnswer: g**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v + 0 + 2*v**2 - 2 + 2*v - 2*v. Let f be z(2). Suppose y = 5*y - 56. Solve -5*u + u = f*x + 16, -y = x + 5*u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -4\/5, 4829, 1, 0.5, -53, 3\/2?\nAnswer: 4829","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccmmmbbmmmbcbmbbm. Give prob of picking 1 m and 1 c.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 plus 4880519.2624?\nAnswer: 4880519.2024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.17 (b) 0.5 (c) 1\/7 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 4)*(-6*d - 11*d - 54 + 55) in the form a*d + m and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 159575 - 159570. Let s = -3 + -2. What is the biggest value in h, s, 0.04, 10\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 7 = -9. Let v be g\/2 + 1\/(-1). Let f be (-4)\/7*(-8 - v). Is 3 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -11.949 and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -98, -121, -132, -119?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q + 24 = 4*o + 11*q, -3*o - 5*q - 11 = 0. Solve -i - 9 = 4*l, 3*l - 7*l = o*i + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30890 - 13315. What are the prime factors of x?\nAnswer: 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 174, 281, 568, 1125, 2042, 3409, 5316?\n\"Answer: 15*k**3 + 2*k + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/5))**19\/(((m*m**(-1\/17))\/m)\/m**17) assuming m is positive.\nAnswer: m**(481\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (1 - (7 - 0)). Let v be -2 + 2\/2 + w. Solve 5*s + 9 = 3*o, 7 = -2*s - v*o - 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -5 (b) 7 (c) -0.5 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mgrgmpiuigrppmg. What is prob of picking 1 m, 1 p, and 1 r?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 f when three letters picked without replacement from {v: 2, x: 13, w: 1, f: 2, d: 2}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by -90028.\nAnswer: 21\/45014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 193377200 to the nearest 1000000.\nAnswer: 193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -7*n - 51. Let f be x(-28). Suppose -10*k + f + 315 = 0. Is 47 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1704705l?\nAnswer: 170.4705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 116 = 4*n. What is the highest common divisor of n and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -80.26 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 166886261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*s = 25*s - 45 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 370 + 6 - 5*g**3 - 215 + 3*g**3 + 6*g + 3*g**2 - 4*g in the form m*g**2 + u*g + o + l*g**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*8\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 568 * -6.\nAnswer: -3408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -42.1549413 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -8*a + 41. What is w(7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -890446175 divided by -5\nAnswer: 178089235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/118450 and 17\/690.\nAnswer: 355350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2358661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 373 (b) 2.19 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3797.\nAnswer: 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmjmnnmn. What is prob of picking 1 n, 1 m, and 1 j?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -67. Let a = -6491 - -6482. What is the units digit of (-215)\/(-4) - a\/i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 3*a**2 + 5*a + 3. Let k be g(-4). Let o = k - 1. What is the units digit of ((7 - 2) + o)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + (-102)\/28*(-12)\/(-9).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11751 - 11753. Suppose 2*v + 3*a = -13, -2*v + 7*v - 20 = 3*a. Which is bigger: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1313 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(108) - 2*sqrt(108))**2*5 - sqrt(108) - 5*sqrt(108)*-1).\nAnswer: -2700 - 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 389 + -632. Let v = -252 - d. Let y(h) = -h**3 - 10*h**2 - 9*h + 2. What is y(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - (1\/(-1) - -1). Suppose s*t - 9 = 3*t. What is the second derivative of p**2 + 4*p**2 - 2*p - t*p**2 + 0*p**2 wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6490 and 95245942?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -4*r + 136. Suppose -2*u + 3*w - 7*w + 4 = 0, -2*w + r = 5*u. Calculate the smallest common multiple of 16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -214 - -217. Suppose 7*s - 4*s + 303 = 3*m, -c*s = 3*m - 321. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*q + 1167 - 621. Suppose -q*v - 111 = -79*v. Factor 0*n**v - 1\/2*n**4 + n**2 - 1\/2 + 0*n.\nAnswer: -(n - 1)**2*(n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) 0 (c) -20.8 (d) 0.2 (e) -0.4 (f) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 19.5. Let o = 48 + -48.2. Put -3\/7, o, -0.01, y in descending order.\nAnswer: -0.01, o, -3\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -87 + 2?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d**(3\/14))*d*d**(-25)\/d*d*d*d\/(d*d**25)*d*d*d*d**(-20) assuming d is positive.\nAnswer: d**(-913\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2360400 to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2\/3 - 277700*d\/3 + 185132 = 0 for d.\nAnswer: 2, 277698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.238047 litres?\nAnswer: 4238.047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1135426054?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**3 - 3*o + o - 14*o**2 - 1 + 13*o**2 + 4*o**3. Let v be d(-2). Is -7 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11603930 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1034 * 227\nAnswer: -234718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 - 5*u**2 - 3 + 14 - 4*u**2. Let i(q) = -7*q**2 + 7. Determine 5*c(a) - 8*i(a).\nAnswer: a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 + 1144 = -125*n + 4042 + 2711 for n.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-10))\/(23\/((-460)\/3))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -36 + 52 + -1 + -2 + 2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4773 and 27348?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4550137?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 10) in base 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + c + 14526 = 58010, -3*g - 2*c = 26093. Let n = g - -191287\/22. Calculate the common denominator of 111\/10 and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*a - 4*s, 3*a - 5*s = -0*s + 22. Suppose 2 = w - 2*u - 8, 2*u = a. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 4*w**2 + 1. Let g be p(-4). Let c = 1 + g. Suppose -c*r - 11 = x, 8 = -3*x + r - 2*r. Is 1 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 8\/431, -1.\nAnswer: -1, 8\/431, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117217228?\nAnswer: 2, 131, 223697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6556610 * 2.4\nAnswer: -15735864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - w + 3 = 8, -2*w - 10 = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.3, -2, 1, 2, 11\/2, 130?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11715 is divided by 267.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, x: 16}. What is prob of picking 2 u?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*p**3 - 3 - 13 - 100*p + 1 - 9 - 48*p**2.\nAnswer: 4*(p - 3)*(p + 1)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 34 - 56 = 0. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14248 divided by -13\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - p + 22 - 5 = 14*v, 0 = 14*v - 11*v + 3*p + 27 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/(-511)*(-209)\/(-1881).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 175 + 70*t**2 + 12 - 73*t**2.\nAnswer: -3*t**2 - 192","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, g: 2, q: 5}. Give prob of sequence gq.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 1728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*s - 0*w + 4*w, -s - 21 = 5*w. Which is bigger: -12\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 9 = -3*v. Suppose 2*t = -v*t - 0*t. Solve t*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/364 and -95\/28756.\nAnswer: 28756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166669?\nAnswer: 166669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a. Let u(m) be the first derivative of 1\/8*m**4 + 4 + 0*m + 0*m**3 - 4*m**2. Let k(w) be the second derivative of u(w). Calculate h(k(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/15)\/h**21 assuming h is positive.\nAnswer: h**(-314\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (356 + 4*p - 5*p - 386)*(-4 + 4 - p + (-2*p + 3*p + p)*(0 - 3 + 4)).\nAnswer: -p**2 - 30*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 16 (b) 4 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-33)\/6*8\/(-44)*236579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n + 2*n - 7*n - 2*n + 5*n.\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19.3 - -19. Let y be 18\/((49\/18)\/7). Let s = -46 + y. Which is the closest to -4? (a) s (b) d (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 3*q**2 - 2*q + 1. Let p be o(-3). Suppose -3 - p = -i. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - a - 2. Let f = -234 + 235. Let k(s) = 3*s**4 + 28*s**3 + 87*s**2 + 118*s + 56. Let g(c) = f*d(c) + k(c). Factor g(w).\nAnswer: 3*(w + 1)*(w + 2)*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 502203 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 10*a + 14. Suppose -4*s + 5*f - 64 = 0, 2*s + 38 = -0*s + 4*f. Calculate the least common multiple of 8 and h(s).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933 is divided by 672.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.1 (b) -26 (c) -0.5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -37, 3 in descending order.\nAnswer: 3, -16, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 0 - 5\/6*b**3 - 17*b + 0*b**2. Let x(m) = -m. Calculate x(w(j)).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106263 is divided by 26560.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17460)\/(-9312)*4*1\/(-3))\/(7\/140)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62\/107 - 15245\/642. Let n = z - -2\/3. Find the common denominator of n and -81\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 269 - 413. Let k = m + 144.8. Let f be 4\/15*12\/(-8). Which is the third smallest value? (a) 4\/7 (b) f (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 11*l + 20. Suppose -3*j + l*m = 24, 2*m + 7 - 4 = -3*j. Let t(r) = r**2 - 2*r + 4. Determine t(j).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -22757 divided by 8\nAnswer: -22757\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 346 + -208. What are the prime factors of f?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170.53849782 rounded to 3 dps?\nAnswer: -170.538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176 and 1628.\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.48 rounded to zero decimal places?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 59967879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from xxttxxttxtwxwxtt?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1199939*w**2 - 4*w - 164159582?\nAnswer: 2399878*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 16*d**2 + 2*d - 1. Let a be i(1). Let r = -2 + a. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*m**2 - 5\/2*m - 1.\nAnswer: -(m + 1)*(3*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) -5 (b) 2\/21 (c) 16.473\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*y**4 - 3219*y**3 - 12958030 wrt y?\nAnswer: 20*y**3 - 9657*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5769931.\nAnswer: 701, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-k**4 + k**4 - 3*k**4) + 5*k**4 - 2*k**4 - 4*k**4.\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4172272 divided by 52.\nAnswer: 80236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 4*u + 6. Let i be w(-6). Let x(d) = -d - 1. Let j(y) = 9*y + 12. Let p(z) = i*x(z) - j(z). Let n = -39 - -33. What is p(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 492 + 372. Let f(s) = -s**3 - 7*s**2 - 3*s + 8. Let q be f(-8). What is the highest common factor of q and n?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -18*1*15\/10. Suppose -s - z = -16, -89 = -s - 3*s + z. Let x = s - g. Does 20 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*i + 4378, -4*i + 0*i + 4376 = -4*z. Calculate the greatest common divisor of 1507 and i.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/68952636 and 161\/396.\nAnswer: 758478996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 3*k. Sort -3, 5, k in increasing order.\nAnswer: -3, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a minute in seconds?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-2))\/(2\/4). Suppose -6*d + 7 = -5. Let v(h) = -d - h - 2 + x. Let p(m) = -m**2. What is p(v(i))?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 6. Let g be r*-1*1\/(-4). Solve -12 = -g*c - 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - 24) + (1 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 - 3)*(-2 + 2 + 2) - 2 - 1 + 5 + 5 - 3 + 1 + 2 + 0 + 1 + (0 + 0 - 1)*(5 - 3 - 1) + 1 - 2 - 1)*(-36 + 35 - u**5 + 5*u**2 + 0*u**2).\nAnswer: -3*u**5 + 15*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-470)\/(-1974))\/((-2)\/(-14))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.08 + 0.08. What is the nearest to -3 in o, 3, -0.06?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q**3 - 53*q**2 + 30*q - 11. Determine t(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i - 12*d - 23 = -9*i - 11*d, -12*d = -i + 34 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.6 times -5?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-335)\/65 - -5)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 10*c - 1. Let g be v(1). Suppose -g = -2*u - 5*i, -4*i - 4 = u - 5*u. Solve u*j - 6*j - 4 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000074 rounded to 7 decimal places?\nAnswer: 0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14002 - 9698. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10514417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130 + -143.5. Let x = u - -15.5. What is the closest to 2 in -20, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/9672 and 44\/341003?\nAnswer: 253706232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51960731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52509 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4)\/((-16)\/49))\/((-12)\/(-48))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 14) + -4 + 2 + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 21. Suppose 6 = -2*g + 3*b, 3*g - 3*b = -g - 12. Let c = g - -6. Solve o*v + 5*y + 23 = 0, y - 7 = c*v + 3*y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-2) - (-95119)\/146. Suppose -16*y + c = -593. What is the remainder when y is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1286 + -2509\/2. Let b = 7\/8 - -51\/40. What is the common denominator of b and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 4. What is the third biggest value in x, 5, 0.09?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 95 + 880 = 5*n. What is the remainder when 839 is divided by n?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -3 - (-9 + 0 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**3 - 1616*f**2 - 163216*f = 0 for f.\nAnswer: -202, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p - 65 = 85 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1547225 + 569680 = 227*s - 454324. What are the prime factors of s?\nAnswer: 47, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*j = 40, 0*t = -4*t - j + 25. Let h be (t\/(-2))\/((-5)\/20). Suppose 2*o + 4 = 4*o. Solve 4*q + h = o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 160\/2*(203\/35 - 5). Is d at least as big as 313\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l + 5. Let z(v) = -6*v + 10. Let a(k) be the first derivative of -k**2\/2 + 2*k - 10. Let r(q) = -16*a(q) + 3*z(q). Give 3*m(g) + 8*r(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20, -14, 30, 130, 304, 570, 946?\n\"Answer: 3*u**3 + u**2 - 18*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000048247058 rounded to seven decimal places?\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(11)*-1)**2 + -2 - (3*(sqrt(11) + 1) - (sqrt(176) + 1)**2).\nAnswer: 5*sqrt(11) + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - j - 24 - 3*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 67155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.8171397 minutes?\nAnswer: 49028382000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c. Let o(n) be the third derivative of n**4\/12 + 2*n**2. Determine b(o(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-100)*(3\/(-54))\/(7\/(-105))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**4\/12 + 8*l**2. Let s(w) = -4*w. What is -13*f(q) - 6*s(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28935436*c**2 + 133884306*c wrt c?\nAnswer: -57870872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - 1. Suppose 7*k + 8*k - 90 = 0. Suppose -k = 2*g, 3*g = -0*p - p - 27. Which is smaller: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/42 + (-2 - (-176)\/28). Solve 0*a + 2*j = -2*a - 4, 0 = -s*j + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 1. Let u(k) = -1. Let x be (-28*(-4)\/48)\/((-1)\/(-15)). Suppose 0 = i - x + 36. Calculate i*u(v) + 2*j(v).\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*b - 139 + 85, -110 = -4*b + 5*f. What is the highest common divisor of b and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001110000111 - 101?\nAnswer: -101001110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10102110110 + -20011?\nAnswer: 10102020022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1417 + -1412. Let h be 2\/((-39)\/9 - -1). Sort h, -1, c, 0.2.\nAnswer: -1, h, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10410991 is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.169.\nAnswer: -0.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -462 + 474. Suppose 5*y - 15 = -4*w, -2*w + 4*y - 8 = 4. Suppose w*n - 92 = -2*n. Calculate the remainder when n is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -5*z - 47, 0 = -5*x + z + 17 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 810, -6, 5 in ascending order.\nAnswer: -6, 5, 810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 15 = 11*n. Let u(m) = -m**3 + m**2 + m + 5. Let w be u(0). Let p be (30\/(-4))\/((-11)\/22). Solve -q = n*b + p, b + 22 = -w*q + q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2 + 2*v + 4*v**2 - 10*v**2 + 15*v**2. Let a be w(3). Find the common denominator of -23\/8 and ((-3)\/(-2))\/(135\/a + -1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -294082*p**4 - 41*p**3 - 1187943*p**2.\nAnswer: -7057968*p - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 21. Let f = -5 + t. Let w(l) = -11*l - f*l + 21*l. What is w(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 10 = -8*d - 3*m, 4*m - 10 = -5*d. Let c = 8.5175 + -0.5175. Does c = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 3:23 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**5\/12 - 1628*o**2. Let t(i) = -i**2 - i + i. Determine t(r(h)).\nAnswer: -25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2. Let v be (10\/(-6) + 1)*(27 + -28). Let u(l) be the first derivative of 0*l - 2 + 0*l**2 - v*l**3. Calculate u(h(s)).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -0.434301266?\nAnswer: -0.565698734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 7*t**2\/2 - 11. Let w(o) = 3*o**2. Give w(i(q)).\nAnswer: 147*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -606*m**4 - 233*m + 3 wrt m?\nAnswer: -7272*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, s: 3}. What is prob of sequence shhh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/225*18)\/(1221\/(-4070)). Factor 32\/5*s + 0 + i*s**2 + 2\/5*s**3.\nAnswer: 2*s*(s + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7471 < -7472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 - 4?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*l + 2*l + 25*l to the form m*l + q and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356*p + 14231 = 363*p. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) -1\/12 (c) -2203\/2621\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 7) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44175559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 724, 986, 1434, 2074, 2912, 3954, 5206, 6674?\n\"Answer: g**3 + 87*g**2 - 6*g + 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 146055853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6152653406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 3)*43\/(-3). Let s = p + -163\/12. Suppose -3 + 7 = l. Which is the third biggest value? (a) l (b) s (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/5039 + 508971\/161248. Find the common denominator of k and -31\/16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/75 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*s**4 + 741*s**2 - 48492*s wrt s?\nAnswer: 72*s**2 + 1482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -0.08, 0.21?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 49 + (3 - 9)*2\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -2*q**7\/105 + 18*q**6\/25 - 242*q**5\/25 + 234*q**4\/5 + 162*q**3\/5 - 1458*q**2\/5 + 3*q + 3. Solve o(d) = 0 for d.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36488?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/3)\/o)**(8\/9))**(1\/16)*(o**(-7)*o**(-9)\/o)\/(o**(-4\/11)\/o*o**(2\/5)) assuming o is positive.\nAnswer: o**(-23869\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 200*l - 231*l + 155 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -821579764 + 821579724.3000549. Let a = j + 39.7. What is a rounded to 6 decimal places?\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 7:05 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 2 - 2)*(18*a**3 + 10*a**3 - 23*a**3).\nAnswer: 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(64\/36)*6\/27\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/9)\/g*g*g\/g**(-5\/6)*((g\/(g*((g*g*g*g*g\/((g*g**19)\/g))\/g)\/g)*g)\/g)**(32\/7))**20 assuming g is positive.\nAnswer: g**(95030\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-8)\/(t**(-1\/12)*t*t)*(t*t**1)\/t**(-9))**(3\/5))**49 assuming t is positive.\nAnswer: t**(637\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -1, 5, -2, 675, 987.\nAnswer: -2, -1, 0, 3, 5, 675, 987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 28*b - 85. Is q(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21416, 42792, 64170, 85550, 106932, 128316?\n\"Answer: r**2 + 21373*r + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 11*m**2 + 7. What is the remainder when 19 is divided by j(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/13 + -23\/39. Let j = -0.2 - -0.2. Let z = j + -0.1. What is the nearest to z in -3, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.96 - -5.46. What is the nearest to 3 in b, -3, 0, -2\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19282 - 20549.7. What is p rounded to the nearest 10?\nAnswer: -1270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 118259 = -3*b, 5*z - 499*b + 494*b = 591225. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 43, 36, 29, 22, 15, 8?\n\"Answer: -7*j + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*m + 7*m + m**2)*(3*m + 2 - 2)*(6*m - 2*m - m) as q*m**4 + z*m + v + x*m**2 + j*m**3 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 2*l**2 + l - 2. Let d be c(4). Calculate the greatest common factor of 136 and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 4 + (-6 - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 + 1 - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*d - 4 = 0. Let k = 4 + d. Let b be (-2)\/(-3) - 986\/(-51). Solve k = -5*y - 5 - b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3) + (-1)\/(-1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1430 in -4\/3, -576, -2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of r**2 + 3*r + 3. Let d be x(-2). Let w = -3 - d. Let h(j) = -2*j**2 + 2*j. Calculate h(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 12) to base 6\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10682 is divided by 395.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*c + 4. Let q be 22\/(c\/1 - 2). Let k be (-8)\/(-44) + 4\/q. Solve k = -5*w - 22 - 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - t + 0)*(0 + 2*t + 0)*(-11 - 14 - 2*t + 36).\nAnswer: 4*t**3 - 22*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 659222 = -2*g, 0 = 9*u - 8*u - 4. Let b = -713381 + g. Round b to the nearest ten thousand.\nAnswer: -1040000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1019\/2475 + 174\/275. What is the common denominator of ((-3)\/54)\/(2\/40) and m?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 7) in base 5?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 523*h**3*z - 1732*h**3 + 4948*h + 127739*z**2 - 3 with respect to z.\nAnswer: 523*h**3 + 255478*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, w: 2, d: 5, i: 7}. What is prob of picking 1 w and 3 i?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 202367*f - 11332553. Give v(56).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117 - 134*u - 119*u - 133*u - 133*u + 521*u.\nAnswer: 2*u + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h**3 + 5*h**3 - h**3)*(0 + 0 - 1)*(-2 + 1 + 3)*(-8 - 4 + 4) in the form d*h**3 + w*h**2 + r*h + a and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuauuaauuauaauua. Give prob of picking 3 a.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -8 - (3 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**2 + 14*s. Let q(b) = 2*b. Let f(x) = -3*x + 2*x - x. Let g(y) = 5*f(y) + 6*q(y). What is g(p(v))?\nAnswer: -6*v**2 + 28*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31.4 - 33.4. What is the smallest value in 4, j, -66\/13?\nAnswer: -66\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - k, -5*c + 5*k + 15 = -3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**4 - 49970*h**3\/3 + 111013*h**2\/3 - 72152*h\/3 + 3700 = 0?\nAnswer: 2\/9, 1, 5550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6708019?\nAnswer: 23, 29, 89, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 5*t**2 + 3*t + 4. Let q be 4 + -6 + (3 - -52). Suppose -8*p - 5 = -q. Determine i(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372 = 6*t + 56*t + 31*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.21848885 rounded to two decimal places?\nAnswer: -7.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -8*t + 320. Let r(w) = 10*w - 384. Let c(i) = -5*r(i) - 6*s(i). Let a(x) = 15*x**2 + x - 586. Calculate a(c(q)).\nAnswer: 60*q**2 - 2*q - 586","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 296604 or 296591?\nAnswer: 296591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (377\/182*6)\/(204\/(-952))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 776 and 2991848.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 5:59 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 20429.\nAnswer: -5\/20429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -339551, -339611, -339671?\n\"Answer: -60*z - 339491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -25*p + 6. Let k(a) = -12*a + 3. Let f(d) = -2*i(d) + 5*k(d). Is f(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73581 + -151449. Round d to the nearest one thousand.\nAnswer: -78000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.52, 0.06, -1, 51, 2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.18027 and 6349447.\nAnswer: 6349441.81973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7245 + 2319?\nAnswer: 9564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 390953028 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a6 (base 11) in base 16?\nAnswer: -ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/(-7)*2\/2. Let y(h) = h**2 + 3*h + 1. Let f be y(r). Let c be 4*((-2)\/4 + f). Solve -4*x + 3 = -2*l - 7, -5*x - c*l - 10 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-6))\/(1\/(-960)). Let q(n) = 11*n**2 + 38*n - 193. Let a be q(-7). Calculate the highest common factor of b and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = f + 4, 2*f = -w - 4*w - 15. Let s(v) = 8*v**2 - v. Let a be s(w). Let h be (0 - 0) + -1 + a. What is the greatest common factor of h and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329 = 23*o + 237 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - 1) + 0 + (222 - (369 + -157)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2481?\nAnswer: 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b9c37 (base 15) in base 4?\nAnswer: -100233000331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15816?\nAnswer: 2, 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 49. Calculate g(18).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 106571 divided by -2?\nAnswer: -106571\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335096.6 microseconds to seconds.\nAnswer: 0.3350966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -341 - -180. Let s = 162 + h. Sort -3, -2, 2, s in decreasing order.\nAnswer: 2, s, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -699603 + -1500397. What is v rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.34800391 to 3 decimal places.\nAnswer: -0.348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4808*d**4*j + 3*d**2*j + 13*d*j + 5*d + 7 wrt d?\nAnswer: 115392*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-810)\/8505 - 46\/105)*9\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 901 is divided by 131.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3262)\/(-466) + (0 - 17)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92264, -92260, -92256, -92252, -92248?\nAnswer: -92244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2010 - 2012)\/(((-8)\/(-5))\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*i + 21 = 2*q - 222*i, 0 = -3*i + 10 - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9423179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 4*q**2 + q + 1. Let l be (-2)\/(-6)*(-15 - -6). Calculate g(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 9 = -0*x - x, 0 = 3*x - 3. Suppose -a - 44 = -4*i + 4*a, -j*i + 5*a + 50 = 0. Suppose i*u = u. Put 1, -1, u in descending order.\nAnswer: 1, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000058416 to 7 decimal places.\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -97*h**2 - 16*h - 7. Let j(y) = -39*y**2 - 8*y - 4. Let n(g) = 5*j(g) - 2*w(g). Suppose -4*k - 10 = -2*k. Give n(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9187 is divided by 9178.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 3222 + -51523\/16. Let f = 9137\/36 + -2965\/12. Calculate the common denominator of s and f.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 + 5*y**3 - 4*y**3 + 0 - 2*y**3 + 0 + (4 - 1 - 2)*(-1 + 1 - 2*y**3) + 3*y + y**3 - 3*y + 2 - 2*y**3 - 2 + 14*y - 14*y + 37*y**3.\nAnswer: 31*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - h = 3*h - 413, 0 = -2*d - 2*h + 164. Let p = -52 + d. Calculate the greatest common factor of p and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 10. Let f be 267\/(-102) - -1 - -2. Let x = -2\/17 - f. Put 0, h, x in decreasing order.\nAnswer: h, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3273*g**2 + 24433 wrt g.\nAnswer: -6546*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 680*g + 9937 = 3014*g - 11069 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 38, 136, 234, 332, 430?\n\"Answer: 98*m - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -7*l**6\/360 - 2*l**3 + 5. Let y(x) be the third derivative of s(x). Let z(d) = -2*d**2. What is z(y(q))?\nAnswer: -98*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 + 1)\/((-105)\/77280)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 486714 by 3.\nAnswer: 162238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (2 - 1) - (3 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -47943306.\nAnswer: 1\/15981102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-61)\/24*(-4)\/2 and (-99)\/12 - (-1)\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 280 and 308.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 2*a - 1. Let b be q(1). Suppose b = 3*m - 1. What is the units digit of 4\/(-16)*m*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-12))\/((-2)\/(-16)). Let b be (-6 + 4)\/((-3)\/9). Find the third derivative of n - b + w**3 + w**2 wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1039193 and -2594?\nAnswer: 1041787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in 4, 38, -2, 48\/7?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wez when three letters picked without replacement from wewwwwxwwezwezzwwxze.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -3.457, -3\/8746?\nAnswer: -3.457","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 6:21 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -6. Solve -q + s*q = -2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 236 and 15399.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(-46)\/(f**(5\/3)\/(f\/(f**(6\/5)\/f)*f)) assuming f is positive.\nAnswer: f**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11131\/5 + -91062\/35. Let f = 375 + u. Let b = -139 - -139. What is the nearest to 1\/4 in f, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 26. Let s be (-864)\/(-144) + (-166)\/30 + (-4)\/6. Which is the second biggest value? (a) 4 (b) s (c) -4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h - 6 + 42. Suppose h*n + 6 = 8*n. Let l(q) = -3*q - 3. Give l(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 3*p + 0*p)*(2 - 2 - 1)*(3 - 1 - 4 + (3 - 2 - 2)*(5 + 0 - 4) - 2 + 3 + 0).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 193 + -189. Does 5 divide 1*v - (-6 - -114)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -41, -72, -121, -194, -297?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -5. Let r = 46 + u. Does 19 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -0.0336439?\nAnswer: -4.9663561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 2*n - 4. Let a be 16\/2 + (-1 - 1). Suppose -a = o - 2*o. Let t be r(o). Solve -u + 6*u - t = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 81273465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 1. Let z(q) = -2. Let a(b) = 7*n(b) + 4*z(b). Let i(k) = 2*k + 3. Let v be (-25)\/9 + 10\/(-45). What is v*a(h) - i(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.1823438 years?\nAnswer: 0.01823438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.15? (a) 3 (b) 1 (c) -2 (d) -0.5 (e) -43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d. Let r(b) be the first derivative of 5*b**3\/6 - 8*b + 8. Let f(z) be the first derivative of r(z). What is f(m(n))?\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -524 greater than -525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-3 - 50)) + (-5 + 2 - 4) + 2?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 t, and 2 a when four letters picked without replacement from etaagpaaaetlg.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2201 - -1020?\nAnswer: 10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1159.\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.201270923 rounded to 3 decimal places?\nAnswer: -0.201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4095150 divided by 2374?\nAnswer: 1725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33111011 + 1311?\nAnswer: 33112322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01751 + 0.02249. Put i, -3\/2, 3 in increasing order.\nAnswer: -3\/2, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 7. Suppose 8*i - p*i - 24 = 0. Solve 3*w = i - 21 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5*z*(z*(z**(-7)\/z)\/z*z*z)\/z*(z*z*z**0)**(1\/31))**(-1\/4) assuming z is positive.\nAnswer: z**(29\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1616 = -14*x + 258. What is the third biggest value in x, 3, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76799533 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: How many minutes are there between 12:10 PM and 6:44 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 4 - (4 + (-4 - -12)) - (-143 + 213).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -114264611 (base 7) in base 12?\nAnswer: -2469962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 5\/9, -0.2, -1\/4, 3\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -71 - 5258087?\nAnswer: -5258168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -16. Let t be 4\/(-22) + (-48)\/g. Suppose 5*w = -2*c + 10, 2*c - c + 4 = t*w. Solve 0 = i - c*i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 3*w**2 + 4. Let g(m) = -5*m**3 + 10*m**2 + 12. Give 7*a(j) - 2*g(j).\nAnswer: 3*j**3 + j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -8*o**2 + 8*o - 4. Let m(r) = 6*r**2 - 8*r - 2. Let v(p) = 4*p**2 - 5*p - 1. Let l(x) = 3*m(x) - 5*v(x). Let j(f) = -i(f) + 5*l(f). What is j(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 597740 and 149435?\nAnswer: 597740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**(-1\/2)*z*z)\/z*z)**(-3\/2)*(z**(-1\/2))**(-1\/23))\/((z\/(z*z*(z**(-1\/3)*z*z)\/z*z))**(-34)\/((z*z*z**(1\/6))\/z**(-2\/9))) assuming z is positive.\nAnswer: z**(-76181\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(-6) - (-3 - -2). Suppose -6 - 30 = 12*w. Let t be 1 + (0 - (-35)\/(-40)) + 0. Put w, p, t in decreasing order.\nAnswer: t, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 603712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 1:47 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.89 - -0.19. Let t = m - 12.9. Round t to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from {m: 2, y: 1, b: 1, f: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 + -1. Let b = -1.51 + -0.49. What is the biggest value in -2\/13, f, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 5:49 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3501278972 and -704.31?\nAnswer: 3501278267.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -648, -2612, -5878, -10440, -16292, -23428, -31842, -41528?\n\"Answer: i**3 - 657*i**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 - 8*b + 2. Let v be h(-6). Let a = -84 + v. Let q = a - 25. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8822?\nAnswer: 2, 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -13. Let z(n) be the third derivative of 0 - n**2 + 0*n - 1\/8*n**4 - 7\/6*n**3. Let u(q) = -4*q - 8. Give b*u(p) + 6*z(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 - 6*p - 3. Let q(x) = x**2 - 5*x - 2. Let n(v) = -2*j(v) + 3*q(v). Factor n(s).\nAnswer: -s*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/10)\/((-27)\/(-15) - 4). Suppose -3 = 3*q + 3. What is the biggest value in a, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from {y: 3, m: 2, v: 3, j: 2, p: 4, r: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.037 + 525.037. Let c = q - 526. What is the second biggest value in 2\/13, c, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 325\/175 - (-2)\/14. Solve -9*b + 14*b - f = 20, 4*b - r*f = 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 51\/15 - (-407)\/(-1100). Let q(u) be the second derivative of -1\/150*u**6 + 3*u + 1\/10*u**3 - 1\/60*u**4 + 0 + 1\/5*u**2 - a*u**5. Factor q(w).\nAnswer: -(w - 1)*(w + 1)**2*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f**8*f)\/f)*f*f**(-5\/6)\/f*f*f)\/(f*f**(7\/6)*f*f*f*f**(-10)) assuming f is positive.\nAnswer: f**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55604541 (base 7) to base 4.\nAnswer: 102111330000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifififf. What is prob of picking 3 i and 1 f?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*v - 100*v + 825 = 4*l, -5*v = 15. Let u(t) = t**3 + 6*t**2 - 2*t + 7. Calculate the remainder when l is divided by u(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 20*v + 112. Determine i(4).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22386777*r**2 + 11193376*r**2 + 11193406*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 8 = 4, -5*s = 3*a - 32 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 16*n**2 + 2*n - 2. Let w(o) = 159*o. Give z(w(c)).\nAnswer: 404496*c**2 + 318*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*f**3*v**2 + 3005*f**3 - f**2*v - 4*f**2 + 13325408*f*v**2 - 2*f + v wrt f.\nAnswer: -36*f*v**2 + 18030*f - 2*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**5\/30 - w**4\/8 - w**3\/3 + 7*w**2. Let h(u) = -3*u**2. Let a(c) = -3*h(c) - 3*m(c). What is s in a(s) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14909?\nAnswer: 17, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -905 - -904. What is the fourth biggest value in 3, -14, d, -3\/4?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s + 6. Let t(b) = b + 1. Let u = 7 - 4. Let f(l) = u*t(l) - y(l). Calculate f(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 + 20 + 55*p - 55*p as w*p + h*p**2 + m and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2708*i**3 - 2*i**2 + 6*i - 2. Let p(c) = -10831*c**3 - 9*c**2 + 27*c - 9. Give -9*b(l) + 2*p(l).\nAnswer: 2710*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 84*l - 72 - 168 - 180 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2459*i - 20 = -2461*i + 2*t, -4*i - 3*t + 19 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5401*v**2 + 37. Let i(h) = 2700*h**2 - 17. Calculate -6*g(b) - 13*i(b).\nAnswer: -2694*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, -128, -4, 158\/5 in decreasing order.\nAnswer: 57, 158\/5, -4, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60.0114 + 60. Round h to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -7*o + 4. Let m = 6 + -7. Let a(h) = -h + 1. Let k be 288\/45 + (2 - (-24)\/(-10)). Give k*a(q) + m*i(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 31. Suppose 12*x - 14*x + 3*v = 9, d*x + 12 = 4*v. Solve 3 = -x*o + 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2312322?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -772, -1\/3, 236, -32?\nAnswer: -772","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145 + (138 - 176) + -167.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 424 divide 3060008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10595 is divided by 287.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 14*n**2 + 106*n - 2312. Calculate k(-23).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262 = -4*p + j + 48, 0 = 5*j - 10. Let u = -48 - p. Solve -4*i + u*i - 4 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*u + 20 = -12, 4*u + 4 = 5*i. Find the common denominator of (-825)\/(-90) - i\/(-6) and 131*((-1060)\/(-360) - 9\/3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3905 and 355?\nAnswer: 3905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113 - 101. Calculate the lowest common multiple of (-116)\/(-6) + 2\/3 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -1. Let p(a) = 2*a + 10. Let k(g) = -g - 5. Let n(d) = -13*k(d) - 6*p(d). What is -5*h(c) - n(c)?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 172.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, -9, -3, 6, -1, 146 in ascending order.\nAnswer: -9, -3, -1, 2, 6, 7, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27019876 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 27 = -b, 2*l + 5*b = 3*l - 25. Suppose -3*p = -5*q - 28, -5*p - l = 4*q - q. What is the nearest to 0.2 in p, -2, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4\/7)\/((j*j**19*j)\/j) assuming j is positive.\nAnswer: j**(-144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**5\/4 + 13875*g**4\/4 + 55605*g**3\/2 + 153005*g**2\/2 + 333915*g\/4 + 125235\/4 = 0?\nAnswer: -3, -1, 2783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(1872) + 2)**2.\nAnswer: 96*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 5. Suppose 0 = -5*m + 10, 0*i - 3*m = -2*i. Let x = i - q. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 596193?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -8017.\nAnswer: 64136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -864 + 867. Solve 13*g = 15*g + w*r + 1, -3*g + 4*r = 27 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(75) - sqrt(75)*-3) + ((sqrt(363) + 2)**2 - (sqrt(27) + 1)).\nAnswer: 61*sqrt(3) + 369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 8489794.\nAnswer: 3\/4244897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 41809616.815797 and 0?\nAnswer: 41809616.815797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18380232, 36760469, 55140706?\n\"Answer: 18380237*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 5. Let n be -9*((-32)\/12)\/(-4). What is the units digit of l(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44, 57, 328, 853, 1716, 3001, 4792, 7173?\n\"Answer: 14*x**3 + x**2 - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(153)*-2*-2)**2 + (-3*(1 + sqrt(153) + sqrt(17) + 1*sqrt(272)))**2.\nAnswer: 144*sqrt(17) + 19593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(-105)*-3*-14. Suppose w*i = -2*i. Solve -15 + i = 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**3 - 84*t**2 + 28*t + 2930. Determine v(-27).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + w = 5*k - 36, -2*w - 13183*k + 13184*k - 12 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*v = -214776 + 38512. List the prime factors of v.\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 596 and -0.4.\nAnswer: 595.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 607*g**5\/10 + 1645*g**4\/24 + g**3\/3 + 147*g**2 - 34*g. Find the second derivative of m(b) wrt b.\nAnswer: 7284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -21*m. Let c(y) be the first derivative of -7*y**2\/2 - 10*y - 7. Let i be c(-4). Let a(p) = p. Calculate i*a(q) + v(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l - 2*l**2 + 3 + l - 3. What is y(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 8 = -4*y. Solve 0 = -y*n + 5*n - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2)\/(i**(-9\/4)\/i*i))\/(i**1)**(5\/3) assuming i is positive.\nAnswer: i**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*g - 3, 5*g - 19 = -4*y + 6. Suppose y*s - 291 + 84 = 3*h, -5*h = -5. What is the remainder when s is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 = 6*o - 2661. Let g = 486 - o. Let j = 143 - 94. Which is the nearest to -2? (a) j (b) g (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 823 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2632 + 134238. Suppose s + 27362 = -s + n, 2*s - 4*n = -z. Let p = 164057\/12 + s. What is the common denominator of -103\/18 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkkkdkkdkdkdbd. What is prob of picking 2 b and 1 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7394.737 millimeters in kilometers?\nAnswer: 0.007394737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-2)\/7)\/((1647\/(-2079))\/61*-6)\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(3 - 0) - (0 + -4). Let a(u) = -2*u**3 - 4*u**2. Let p(l) = -l**2. Give r*a(x) - 4*p(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 139, 0 in increasing order.\nAnswer: 0, 2, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {n: 6, h: 4, i: 4}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/(5\/10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -532288260 rounded to the nearest 100000?\nAnswer: -532300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 19459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emj when three letters picked without replacement from {m: 1, j: 1, e: 3, y: 4, v: 6, c: 4}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**4\/12 - 2*q**3 - 3*q**2\/2 - q. Suppose 2*r + 14 = -4*l, -24*l = -28*l + 5*r - 35. Calculate d(l).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -5. Suppose -5 = -3*v + a. Let r = 0 - -2. What is the greatest common factor of r and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4)**(-2\/13) assuming g is positive.\nAnswer: g**(-8\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4692035 = -39903*c + 39861*c - 1524101. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15309 + -15168. Solve -139*t = -92*t - v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.09, -0.1, 3609.5, 3\/11 in decreasing order.\nAnswer: 3609.5, 3\/11, 0.09, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 4*d - 24, 3*d - 4*d = -3. Solve 1 = -g*m + 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 41*u**2 - 89*u + 137. Is f(-43) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/135, 23, 2\/3, -4.\nAnswer: -4, 1\/135, 2\/3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 555.6 - 556. Let c = 7 - 22. What is the third biggest value in m, -3\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.5 (b) 3\/4 (c) 117.1 (d) 2 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0.5, 159, 3, 0.2 in decreasing order.\nAnswer: 159, 3, 0.5, 0.2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 0*c. Let x(w) = -w**2 + 8*w - 1. Let d be x(7). Suppose -2*s + 12 = 2*s. Solve c = 5*u - s*g, 2*g = d*g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*1*sqrt(204) - sqrt(204))*4)\/(sqrt(144)\/((1*sqrt(84))\/sqrt(7))))**2*-5*-5.\nAnswer: 108800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -75085 to the nearest one thousand.\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11832846?\nAnswer: 2, 3, 41, 103, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieiiiiieeeie. Give prob of picking 2 e.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - g - 4*g - g - 2*g + 2*g + (6 - 1 - 4)*(-2*g + g + 0*g) - 2 + 2*g + 2 - 2*g + 2*g + 4*g + 1 - 1 - g)*(-1 + 1 + 1)*(89*g + 76*g + 9*g).\nAnswer: 174*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*w**3 - 30*w**2 + 63*w.\nAnswer: -3*w*(w - 1)*(11*w + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, -3\/4, 2\/9, 0.4, 0.059?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 1 = -5*f + y, -4*f + 3*y = 3. Suppose f = -5*h + 9*h - 40. Suppose 2*i = h, 5*c + 5*i = 22 + 3. Is -1\/60 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 26*m + 107. Let d be s(-4). Find i such that 13*i**d + 0 + 40\/9*i**2 + 4\/9*i + 9*i**4 = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 224, 321, 418, 515, 612?\nAnswer: 709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 52119824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(11\/2)*(c*c*(c**(-14)*c)\/c)\/c*c)\/(c**5)**(3\/10))**(-26))**(-1\/49) assuming c is positive.\nAnswer: c**(-468\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 111186 in -1, 0.4, -12, 3, -3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33982 by -1.\nAnswer: -33982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14696 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -20. Let k be 1368\/5 - (-40)\/100. Let d = k + -253. Calculate the remainder when d is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 172 - 5?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 74199408 to the power of 1\/2, to the nearest integer?\nAnswer: 8614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minus 178972.87?\nAnswer: -178952.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49017 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/220 and -133\/176352?\nAnswer: 881760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 3)*((-1 + 2 - 2)*(5 - 6 - 11) + 15 - 71 + 37)*(-k + 0*k - 4*k) to v*k + b and give v.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -560 divided by 1124.\nAnswer: -140\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 661.7 - 662. Is l less than -138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -14 - -18 - 4\/(16\/(-4236))?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -391 - -433. What is the lowest common multiple of d and 35?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -18.6. Let i = f + 2.4. Which is the closest to i? (a) 1 (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 3*y - 4*y - 3. Let t be k(-3). Is 145\/7 - (-6)\/t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 - (3 - (5 - (5 + -4))) - -1. Let v(d) = -d**3 - 9*d**2 - 4*d + 5. Let g(a) = -a**3 - 10*a**2 - 5*a + 6. What is f*v(o) + 4*g(o)?\nAnswer: o**3 + 5*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 324\/5 - (-7)\/35. Let u = l - 55. Let p = -27 + 54. What is the remainder when p is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 201, 281, 355, 429, 509, 601, 711?\nAnswer: 845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-516)\/12*(-171)\/684*(-8)\/(-10)*5.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -825 bigger than -838?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75 - -85. Let y = -101 + x. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from {k: 1, l: 4, m: 3, u: 1, o: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -38. What is the smallest value in 0.7, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68*p + 78*p + 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 7*n**2 + 2*n - 2. Suppose 6*v = -3*a + v + 1, a - 3*v - 5 = 0. Calculate the smallest common multiple of a and r(5).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23133022233 (base 4) to base 16.\nAnswer: -2df2af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 298523473?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 4*d**2 - 7*d + 5. Let u be g(5). Let x = u - 100. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - ((-12)\/(-4) - (0 + -1)). Let d be ((-4)\/(-16) - v) + 3\/4. Solve 2*x - 3*x = -d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -170*v + 8. Let w(t) = -t**2. What is f(w(h))?\nAnswer: 170*h**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1498 is divided by 1057?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129\/(-15) + -1 + (-32)\/(-20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 - (3 + -3) - -1. Let k(i) = 3*i**3 - 4*i**2 + 4*i + 3. Let f(v) = -7*v**3 + 9*v**2 - 9*v - 7. Calculate y*f(r) - 9*k(r).\nAnswer: r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 4\/9 (c) 3\/52 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 444*y**2 + 441*y**2 - 1326*y**2 + 439*y**2 - 45 - 44. Let p(v) = -v. What is i(p(q))?\nAnswer: -2*q**2 - 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 h, and 1 y when three letters picked without replacement from rqrrsysrhsr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*n = 5*b + 247*n - 5, 0 = 10*b - n - 37 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354 = -25*b + 30*b - 64*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 227660 and 1445641.\nAnswer: 28912820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134458*1.\nAnswer: 134458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 3 + (-1 - (-4 + 7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(4\/9)*f)\/f*(f**(-1)\/f)\/f)\/(f*f\/(f\/(f\/(f\/(f\/(f\/(f\/f**1)))))*f))**(-1\/2))**(1\/22) assuming f is positive.\nAnswer: f**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, j: 8}. What is prob of sequence jo?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/7721 and 89\/28?\nAnswer: 30884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/2200 and 107\/2220.\nAnswer: 244200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y = -34909 + 34433 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4672026 and 19466775?\nAnswer: 116800650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 12) in base 3?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 4*x**2 + 6*x - 3. Let m be u(5). Suppose m*j = -3*c - 2*j + 93, j + 3 = 0. Let h be (-32)\/(-14) - 10\/c. Solve 0 = 6*a - h*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 5:22 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.636 minus 1.1?\nAnswer: -0.464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 144\/17?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 3714596?\nAnswer: 1114378.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.3 - 14. Let u = -23.1468 - -23.8468045. Let t = g + u. Round t to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h + 2*h)*(-2*h - 2 + 2) + 45*h**2 - 114 + 114 + 0*h**2 + h**2 - 3*h**2 + 3*h**2 - h + h + (-2 + 2 + 2*h)*(-2*h - 1 + 1).\nAnswer: 38*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 7*b**2 + 4*b - 7. Suppose -5*q + 135 = 40. What is the remainder when q is divided by l(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 43*o**2 + 18*o + 25. Is m(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25563.\nAnswer: 3, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -2ad89a?\nAnswer: -2ad89c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17129\/9 - 1903. What is the third smallest value in p, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36071378 and -1?\nAnswer: 36071378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 7:50 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 105*l + 1641. Give q(-16).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42165b (base 13) to base 7.\nAnswer: 16065032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214159*v + 107072*v + 107666*v.\nAnswer: 579*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1.2, 883 in decreasing order.\nAnswer: 883, 1, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + -5 + 9 + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 192 - 131. Let j be (-6)\/30 - t\/(-5). Suppose -3*x = -j - 12. Solve -x*q = -4*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixteen ninths of a hour?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*n**2 + 518*n + 513*n - 1030*n - 147*n**2 - 2*n**4 + n**3 to u*n**3 + q + c*n**4 + l*n**2 + m*n and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8816201 to the nearest integer?\nAnswer: 2969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/28*6*(-210)\/900\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -16*w + 7. Let b(v) = -5*v + 2. Calculate -14*b(y) + 4*k(y).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1117 + -1113. Let w be (0 - -2) + (-14)\/7. Sort -18, l, w, 3.\nAnswer: -18, w, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*9\/(54\/(-4)). Suppose 0 = 4*n + 2*m - 4*m - 20, -o = -2*n + 4*m. Differentiate 54*u**3 + n - 7*u**4 + 2 - 54*u**3 with respect to u.\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c*n**3*u**3 - 2*c*n**3*u + 577*c*n - 2*c*u**2 - 11248*u**3 - u**2 wrt u.\nAnswer: 12*c*n**3 - 67488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-68)\/51*(1 - 10\/4). Solve 0 = m + c - 2, f*c + 1 = -1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23113 (base 7) to base 3.\nAnswer: 22002011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 912 divided by 38?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a + 15. Let d be m(-11). Let n be ((-14)\/(-35))\/((-2)\/d). Solve n = 3*w - w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -234 - -11?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9789157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-395)\/266 + (-3)\/(-2). Let w = v + -2003\/532. Calculate the common denominator of 11\/5 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are 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 q(o) = -2*o - o + 2*o - o. Let x(f) = 5*f. Let p(u) = -6*u. Let m(d) = 6*p(d) + 7*x(d). Determine q(m(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-500)\/(-30))\/(-5))\/(16\/(-6))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from dfddff.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 n when four letters picked without replacement from pxnppxppnpnnpnpnp.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -160 at most -171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156491323.\nAnswer: 156491323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/((-12920)\/171)*(-4445)\/127\nAnswer: -63\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**4\/12 + 22*i**3\/3 - 47*i**2 + 50*i - 197. Let q(l) be the first derivative of s(l). Differentiate q(a) wrt a.\nAnswer: 2*a + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -1. Let c be (-1)\/((-1)\/d) - -6. Differentiate -10*o - c + 10*o + 5*o**2 wrt o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*t - 23*t + 9 + 9*t**3 - 4*t - 21*t**2.\nAnswer: 3*(t - 3)*(t + 1)*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 53*t**2 - 323*t - 42. Let w be n(-46). Solve 5*i + 234 = 2*o + 230, w*o + 3*i + 18 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 - 68. 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: How many minutes are there between 2:03 PM and 9:57 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*(x*x\/(x*(x*x**9\/x*x)\/x)*x*x)\/x)*x)**(-1\/9)*(x**6)**(1\/10))**(-2\/3) assuming x is positive.\nAnswer: x**(26\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 145 = -4*p - 5*s - 165, 0 = -7*p - 4*s + 35 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/161? (a) -5 (b) 69 (c) 0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 - 464*z**2 + 1 - 20007*z + 20007*z to the form g*z**3 + w*z + c + q*z**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l + 88079 - 85595 = -5*l - 7*l for l.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 935*o**2 + 5502*o - 66888.\nAnswer: (o - 6)*(o + 12)*(o + 929)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*a - 43*a = 42 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 579379 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8129\/48 bigger than 170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 + -103. Let r = 44 + s. Suppose 4\/5*a**2 + 0 - 2\/5*a**r - 2\/5*a = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l. Let h(j) = -5*j. Let k(t) = -36*t + 48. Let v(d) = -8*h(d) + k(d). Give x(v(a)).\nAnswer: -8*a - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*d + 1, 5*o = -3*d + 2*o + 6. Suppose -2*m = 3*n - n, 3*m = 0. Let s be (n + 1)*(5 + -4 - 0). What is the greatest common factor of d and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 9*j**2 + 2*j**3 + j**4 - 5*j**3 + 14*j**3 - 6*j**2 in the form r + m*j + d*j**2 + u*j**4 + v*j**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/7)\/((-116)\/(-812)) + -4. Let c = 6 + -5. Put -511, c, i in descending order.\nAnswer: i, c, -511","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 2. Solve x + 0 = y + 3*w, 0 = -3*y + w + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009373 rounded to four dps?\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 612726.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + (-4)\/2)\/(17 - 15). Suppose y + y - 62 = z. List the prime factors of (y*-2)\/(-2 + 1).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 6*z - 8. Let m be n(-6). Let s = m + 7. Which is smaller: -6\/5 or s?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1405)\/420 - 2\/(-21) - (-76 + 74).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52784, 52719, 52654?\nAnswer: 52589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g + 2771*g**3 - 3062*g**3 + 2 + 2016*g**3 in the form y*g**3 + t*g**2 + r*g + s and give y.\nAnswer: 1725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/12*-1 + 2. Let r be 0\/(1 + 2 + -6). Which is greater: r or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.39632 and 0.91.\nAnswer: 1.30632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -24 and -10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z. Let s be ((-1)\/(-3) + -1)*9. Let i be y(s). Suppose -i + 10 = 2*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)\/v**(-2\/45)*(v**(2\/11)\/v)**37)**(28\/9) assuming v is positive.\nAnswer: v**(-474404\/4455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 245, 321, 399, 479, 561?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-1) - 18\/(-22). Let z = 21 + -9. Let h = -8 + z. Which is the closest to 1? (a) -0.3 (b) h (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/55869142?\nAnswer: -1\/55869142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from llllslllllsl?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*m - 5*q, -5*q = -2*q - 9. Suppose 0 - 28 = -m*r. Let t(i) = i - 8. Calculate t(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**4\/24 + 7*g**3\/6 - 14*g**2. Let s(d) = -d**3 + 4*d**2 + 7*d - 7. Let j be s(5). Determine q(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13963 times 173\nAnswer: 2415599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0926 and 3966.6.\nAnswer: 3966.5074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 72\/(-16)*2\/3. Let u(s) = -s + 10 - 1 - 10. Let z(y) be the first derivative of y + 92. Give n*u(r) - 4*z(r).\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kky when three letters picked without replacement from {q: 1, s: 5, y: 1, a: 1, k: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 + 812*h**2\/3 - 8036*h\/3 + 12832\/3.\nAnswer: -(h - 802)*(h - 8)*(h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**3\/9 - 5182*r**2\/3 - 20720*r\/3 - 62152\/9 = 0.\nAnswer: -7769, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36336 and 3?\nAnswer: -109008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -95a1d (base 15) in base 11?\nAnswer: -2a4787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 7*c + 6. Let z = -8 + 2. Let a be f(z). Put -4, a, 2 in decreasing order.\nAnswer: 2, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 48, 74, 120, 192?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2 = 2, -x - t = -184. What are the prime factors of (-2 - -1)\/((-552)\/x - -3)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4838*w**2 - 38700*w - 8. What is z(8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**4 - t**3 + t + 4. Let d(a) = -496*a**4 - 5*a**3 + 5*a + 386. Let z(l) = -5*b(l) + d(l). What is the derivative of z(m) wrt m?\nAnswer: -1964*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.57 * -50653\nAnswer: -434096.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.9791 decades in millennia?\nAnswer: 0.989791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.537642 nanometers in meters?\nAnswer: 0.000000003537642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51954\/55 + 5404\/5. Let i = -136 + h. Which is the closest to 2\/5? (a) 0.3 (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 6, a: 1, b: 2, f: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -34*h**5\/5 + 20779*h**4\/5 + 1755221*h**3\/5 + 46651774*h**2\/5 + 404836796*h\/5 - 12109864 = 0. What is h?\nAnswer: -26, 5\/34, 689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ik when two letters picked without replacement from ikkkiikikkkik?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3340 + a58a?\nAnswer: 1291a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 0. Suppose -16 = -u - o. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 180 - 206. Calculate the remainder when 38 is divided by (24\/(-8))\/(6\/c).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6990 is divided by 175.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4\/7 + 103470*y**3\/7 - 310371*y**2\/7 - 413844*y\/7 = 0. What is y?\nAnswer: -1, 0, 4, 34487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.042839 to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78652?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h. Let f(n) = -1166908*n + 95*n**2 - 2 + 1166908*n. Calculate r(f(i)).\nAnswer: -95*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2442033*l**4*w**3 + 2*l**4 + 1241049*l*w**3 + l wrt l.\nAnswer: -29304396*l**2*w**3 + 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 4 + 2\/15*q**3 + 0*q - 1\/5*q**2. Factor y(x).\nAnswer: 2*x*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 241435 and 1635?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 525.8 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 16*q**3 - 155*q**2 + 275*q - 195. Let c(p) = -3*p**3 + 31*p**2 - 55*p + 39. Let v(r) = 11*c(r) + 2*d(r). Is v(28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h - 36 + 49 + 11*h - 30 + 17.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.11331 months in millennia?\nAnswer: 0.0087594425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*k - 149 = 36. Put -7, 7, -3, k in decreasing order.\nAnswer: 7, k, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + q - q)*(-62*q**2 - 3 - 7 + 2591*q - 2592*q).\nAnswer: -62*q**3 - q**2 - 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 6*f + 224 = 0. Solve -15 = -p - f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.9 and -1874.\nAnswer: -1868.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6 - -378.36634.\nAnswer: 379.96634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 68 = -5*s + 4*v, 54 = -4*s + 2*v. Let y = s + 12. Is y\/(-11) - 2319\/(-11) 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 249309?\nAnswer: 3, 27701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*u + 6, 5*v + 0*u = -4*u + 115. Let c = 33 - v. Calculate the lowest common multiple of 12*(-1 - (-6)\/4) and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 200\/240 - 23\/24. Which is the smallest value? (a) -2\/3 (b) -3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 1 - 7. Let j be (-2 + k)*(-6)\/(-12). Sort j, -1, -2.\nAnswer: -2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*k - k + 8*k)*(-k**2 + 2*k**2 + 2*k**2) + 0*k**3 + k**3 + 2 - 2*k**3.\nAnswer: 47*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296609 is divided by 247.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2599691, 5199412, 7799133, 10398854?\nAnswer: 12998575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 79*t = 12*t. Let u(p) = -p**3 + 7*p**2 + 7*p + 11. Let j be u(8). Determine r so that 32\/5 + 0*r + 2\/5*r**4 + t*r**j - 16\/5*r**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -5. Solve l = -0*d - 4*d + 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 3*v**2 - 3*v - 3. Let o be d(-3). Let k be (o\/(-2))\/(-3)*3. Let h = -4 - -3. Do k and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 + y - 3. Let k be w(3). Let p = k - 4. Suppose -x - 1 = -b + 1, 0 = -2*b - 3*x + p. Solve 0 = -b*v - 0*v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -426 + 438. Let z(u) = -14*u + 30*u - l*u - 3*u + 6 - 3*u. Let a be (-54)\/(-15) - 2\/(-5). Calculate z(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 8*w + 11*w - 4 + 0 - 10*w. Let d(p) = p + 5. Let b be d(3). Let f be a(b). Solve -3*m = x + f, 4*x - 4*m - 1 = 15 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 5*l**2 + 5*l + 8. What is n(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1634919 and -73\/160886.\nAnswer: 232158498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5))**(-21\/4)*y**(-1\/9)*y**9 assuming y is positive.\nAnswer: y**(989\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 27c8ca (base 13) to base 4\nAnswer: 3230322123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 3*t + 507, 4*f + 36*t - 683 = 39*t. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*s. Suppose 3*q + q = s. Let w(j) = -j**2 - j - 2. Let l be w(q). Which is the closest to 1? (a) l (b) 2 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 3 - (-58 - (-6 + -8 - 2)) - -8.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2411 (b) 5 (c) -0.0356 (d) -3 (e) 2\/7 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-1 - (7 + (-3 - -6 - 16)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -630438 + 896.\nAnswer: -629542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*((-2068)\/(-1128))\/((-25)\/(-12)).\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2. Suppose 0 = -5*h + 2*r + 164, -h + 22 = -2*r - 6. Let y(p) = -11*p - 17. Let l(s) = 2*s + 3. Let o(j) = h*l(j) + 6*y(j). Give o(n(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*s + 53*s + 8444. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -262, -273, -286, -301, -318, -337, -358?\n\"Answer: -l**2 - 8*l - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1, -4, 1\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3604398 and 84.\nAnswer: 7208796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*t + 15460 - 14644 for t.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583 is divided by 209?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1068)\/(-1246))\/(16\/35). Is i at most -20.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, t: 1, p: 4}. Give prob of sequence ty.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d**2 + 4*d + 4. Let n(c) be the first derivative of 14\/3*c**3 - 11*c - 38 - 6*c**2. What is 4*n(o) + 11*w(o)?\nAnswer: o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*b, -b + 308 = 4*a + 3*b. Suppose 4*y + 5*d = 11, 19 = 4*y - 3*d - 0*d. Suppose 0 = y*t - t - a. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 43*a**3 - 674*a**2 - 683*a - 374. Let m(x) = -15*x**3 + 225*x**2 + 228*x + 132. Let k(u) = 6*b(u) + 17*m(u). Factor k(c).\nAnswer: 3*c*(c - 74)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 13.4457.\nAnswer: -9.4457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 12 = 3*w, -5*w + 9 = 3*n - 0. Solve -2*c + 3*c + n = l, 0 = -c - l + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 - 7*h - 8. Let n be k(6). Suppose 0 = 2*u - 4*u + n. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-10)\/(-35) + 431\/84 - 2 and -61\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3829, -20787, -49045, -88603, -139461, -201619, -275077?\n\"Answer: -5650*x**2 - 8*x + 1829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**3 - 3*o**2 - 1. Suppose 3*z + 20 = a, 2*z + 3*z - 3*a + 40 = 0. Let k(l) = 3*l**3 - 4*l**2 - 1. Give z*k(r) + 6*q(r).\nAnswer: 3*r**3 + 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -8 - (-2 - 2) - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((9\/(-15))\/(36\/120))\/((-1)\/8)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 17. Let g be h(15). Let r be 249 + (g - (3 + -4)). Let c(o) = r*o - 127*o - 126*o. Let s(d) = -2*d. Determine s(c(x)).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*(n*(n*n**(4\/15)*n*n)\/n)\/n*(n**(2\/15)\/n)\/n)**(1\/3) assuming n is positive.\nAnswer: n**(17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -39. Suppose -4*i + 6*i + 6 = -4*s, 2*s = -5*i + 17. Is v bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -103?\nAnswer: -41.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 702276, 1404547, 2106818, 2809089?\nAnswer: 3511360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 296417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/3 (b) 0.01 (c) -2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x**3 - 6*x**2 - 3*x - 3. Let s(v) = -11*v**3 - 19*v**2 - 8*v - 8. Determine 8*c(f) - 3*s(f).\nAnswer: f**3 + 9*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5276 and 9233.\nAnswer: 36932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -6. What is the remainder when 22 is divided by 2\/o*(1 + -19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-310437)\/18 - -13)\/((-2)\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2. Let j(x) = x + 1. Let r(l) = -4*l + 1. Let g(w) = w**2 - w + 1. Let i be g(0). Let f(y) = i*j(y) - r(y). What is f(n(o))?\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8358?\nAnswer: 2, 3, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (0 - -20) + 2 + (35 - 3).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 83 = -23. What is the remainder when 5\/(g\/(-9)) - -33 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6590 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42873 is divided by 42842?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -5 - 0. Sort -2, 2, o in decreasing order.\nAnswer: 2, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14777316079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 19\/4 of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 4240?\nAnswer: -4231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -51076 divided by -12769?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 288 - 286. Let b = -2.4 + 0.2. Let k = a + b. Which is greater: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -11*i**2 + i - 4. Let p be r(0). What is the third biggest value in -0.13, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 0*a + 2 + a - 2. Let z(v) = -3*v. Let g = -5 + 9. Let i(u) = 16*u. Let b(r) = g*i(r) + 22*z(r). Calculate b(y(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-2))\/(3\/(-14)). Suppose 5*b = i*b - 12. Suppose -n + 30 = -g, 4*n + 5*g - 135 = b*g. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 304894?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2629636312?\nAnswer: 2, 61, 229, 23531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8294.\nAnswer: 2, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 11 + (-3 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102762, -102763, -102764, -102765, -102766, -102767?\nAnswer: -102768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 5*h**3\/3 - 1594*h - 1. Let o(q) = 4*q**2 + 4*q. What is o(l(m))?\nAnswer: 400*m**2 + 40*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**4\/2 + k**3 + 7*k + 2012. Let m(x) = -6*x**3 + 8*x**2 + 20. What is 8*b(t) - 3*m(t)?\nAnswer: 2*t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 40, 177, 406, 727, 1140?\n\"Answer: 46*p**2 - p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + 103*j - 411. Let r be h(-57). Let q(f) = f + 14. Let l be q(-6). Let b be r\/71 - l\/((-40)\/(-15)). Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 17*c**2 + 16*c + 731. Let m(q) = 6*q**2 + 6*q + 245. Calculate -8*m(d) + 3*z(d).\nAnswer: 3*d**2 + 233","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 1204 = -2448 + 1224 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1430774 + -57228009\/40. Let a = 859\/8 - n. Which is greater: 35 or a?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -9*o - 1. Determine v(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 878 + 200 = 2*y. Suppose y = 2*z + 5*z. Solve -z*o**5 + 64*o + 163*o**4 - 764*o**3 - 483*o**5 + 92*o**2 - 16 + 1021*o**4 = 0.\nAnswer: -2\/7, 2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-16 - -17) + (2 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 649 - 478. Let s = g - 124. What is the remainder when s is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2330 - -14275\nAnswer: 11945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 592, 593, 594?\n\"Answer: g + 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45424 and 2144.\nAnswer: 6086816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -5, 1\/65, 0.4, -0.5 in decreasing order.\nAnswer: 2, 0.4, 1\/65, 0, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18539369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008465344 rounded to six decimal places?\nAnswer: 0.000847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.317489t in nanograms?\nAnswer: 2317489000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + n - n)*(-3 + 3 + n)*(1077*n**2 - 1623*n + 1623*n) to j*n**4 + w + q*n**3 + i*n + f*n**2 and give j.\nAnswer: -2154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11077091?\nAnswer: 2939, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - 0. Suppose 2*p - 6*p = 3*r - 8, 3*p + 11 = 2*r. Let v be 3 - (-4 + r)\/2. What is the closest to w in v, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 2*s**2 + 4. Let q(v) = -1. Give l(j) + 4*q(j).\nAnswer: -j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 52\/3. Let n = 67 - 13. Let a = 269\/5 - n. Sort k, a, -1 in descending order.\nAnswer: a, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/33 (b) -0.3 (c) 0.3 (d) 0.4 (e) 2\/15 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.624 - -1.\nAnswer: -11.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzlr when four letters picked without replacement from rylztzkr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 189648077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1617 = -6*t - 3*c, -33 + 542 = 2*t - 5*c. Calculate the remainder when 1618 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8543139 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10 * 710\nAnswer: 7100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32180\/3 - 10214. Let j = -494 + a. What is the common denominator of 31*(2 + 11\/(-5)) and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = a + a. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpbb when four letters picked without replacement from kmkmakppbbkukmkpku?\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - -1 - 633\/(-12). Let i = t + -55. What is the nearest to 1 in 1, 1\/7, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417866747?\nAnswer: 197, 503, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 324*o**2 + 10*o - 861. Let g(l) = 159*l**2 + 6*l - 430. Let j(d) = 5*g(d) - 3*z(d). Differentiate j(k) wrt k.\nAnswer: -354*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -0.5, 3\/7, -1, 0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a meter in centimeters?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -11*x**2. Let n(r) = 15*r**2 + 20*r**2 + 3*r**2 - 4*r**2. Give g(n(a)).\nAnswer: -12716*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 25 = -10. Let p(d) = 151 - 150 + d**2 - 2*d + d. What is the units digit of p(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12614672*l**4 - 315993*l**2 - 2*l + 1 wrt l?\nAnswer: 302752128*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499 + 43*j + 507 - 1006.\nAnswer: 43*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-2) + -1 + 2. Let x = h - 0. Suppose 5*y - j - 74 = 0, 3*j + 12 = x*y + 7*j. Calculate the lowest common multiple of y and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-35)*105\/30\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -61 - 3?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-6*-3*(1 + sqrt(2)) - sqrt(10)\/(sqrt(50)\/(1*sqrt(10))))*1)**2.\nAnswer: 5508*sqrt(2) + 8118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 14) in base 15?\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -9 (c) 4 (d) -3 (e) -165 (f) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-30)*-3)\/(827\/33080)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(200) - sqrt(200)*-1).\nAnswer: 3 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 0.3 (c) -2\/5 (d) -10 (e) 2\/19 (f) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - (-35 - -35)) + 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/4)\/(0 + -3). Let h = 187\/414 + -1\/138. Put -3, g, h in decreasing order.\nAnswer: h, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - 1) + (-23 - (19 + 14 + -68))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1913368681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 p when three letters picked without replacement from {p: 6, i: 4}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -611, -1225, -1839, -2453?\nAnswer: -3067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -181151 - -181121. Let c = -6 - -8. Put c, a, -1 in decreasing order.\nAnswer: c, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 1, -0.4, 80637, 0.15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1715290 to the nearest 10000.\nAnswer: -1720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 - 1254 = -9*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.8, 5, -0.5, -1\/4, 8 in decreasing order.\nAnswer: 8, 5, -1\/4, -0.5, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(1\/2)*(-75)\/(-50)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 5 = 0, -101*f + o - 20 = -126*f - 3*o for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s - 24 - 66. Let w(d) = -2*d - 11. Let v be w(s). What is the highest common divisor of 171 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 3*s**4\/4 - s**2 + s + 3. Let k be m(1). What is the first derivative of -c**k + 3 - 3*c**2 + 0*c**2 wrt c?\nAnswer: -8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -1, 2\/5, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/6*(-12)\/(-8). Let g = p + 4. Suppose 5*l + 80 = 5*d + g*l, 0 = -5*l. What is the remainder when 30 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 281280274 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*q + 30. Suppose q = -p, -13 = -2*d + 4*p + p. Let l(h) = -3*h**2 + 5*h - 5. Let t(x) = -4*x**2 + 6*x - 6. Give d*l(n) + 5*t(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -287064?\nAnswer: -287064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 94, 36, -66, -224, -450?\nAnswer: -756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 12) to base 14.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11400 and 184376.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -333, -1360, -3087, -5520, -8665, -12528, -17115, -22432?\n\"Answer: -t**3 - 344*t**2 + 12*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/18 and (278\/15)\/(1 - 185\/25).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 348, 9, 13 in descending order.\nAnswer: 348, 13, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 44 + 2*m**3 + 34 - 2*m.\nAnswer: 2*m**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 128469*f - 7451206. What is y(58)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1378 less than 7?\nAnswer: 7.1378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -703 divided by -37?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**9\/126 - 5*u**8\/336 + u**5\/5 + 12*u**2 + 3*u. Find the third derivative of a(h) wrt h.\nAnswer: -480*h**3 - 300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.5 - 25.92. Let k = y + -0.41. Round k to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from kllllllililillilily.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 568, 935, 1302, 1669, 2036?\nAnswer: 2403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((36\/70)\/((-2106)\/7020))\/(6\/56).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wowx when four letters picked without replacement from jjjjjoojjoxjjwxxjw.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.4270078kg?\nAnswer: 427007.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500)*-2)\/(sqrt(15)\/sqrt(5)*-2).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.3, -1097, -3, -7, -37.\nAnswer: -1097, -37, -7, -3, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-14) + 5 + 814\/77. Let s be (2\/(-2))\/(b\/(-75)). Solve 0 = 8*z + s - 37 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3016.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r + 5*j = 19, -2*r - j + 17 = 0. Let k(b) = -b**3 + 5*b**2 + 3*b. Determine k(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -14. Let d be (j + (-4)\/(-6))*255. Suppose d + 137 = a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 3*u + 3 + u**2 + 3*u**2 - u**3 + 2*u**2. Is g(5) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -635361 + 640000.49. Let r = -4614 + s. Let l = r + -25. Round l to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169111 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 162363034?\nAnswer: -162363037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 96882607?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**2*w)\/w)**9)**(-50)\/(((w\/(w\/w**(-2)))\/(w**(1\/3)\/w))\/((w*w**(-2\/9))\/w**(2\/7))) assuming w is positive.\nAnswer: w**(28465\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28182 divided by -21?\nAnswer: -1342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.031 - 0.231. Which is the fourth biggest value? (a) j (b) 0.1 (c) 8 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, 3\/7, 1\/50 in increasing order.\nAnswer: -3, 1\/50, 3\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-9 - -8 - -17 - 4) + -13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 2 = j - 1, 0 = -4*n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.4, 1, -1\/73335 in increasing order.\nAnswer: -4, -0.4, -1\/73335, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 216*h**3 + 9795*h**2 + 12858*h + 2376 = 0?\nAnswer: -44, -9\/8, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.074 - 0.074. Let d = -12.75 - 33.15. Which is smaller: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-2)\/4*-4. Suppose -c*v - 3*v + 220 = 0. Suppose 2*x - 6*x + v = 0. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214786981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00871906988 to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**8\/336 + 3*y**7\/70 - 7*y**6\/40 - y**5\/60 + 5*y**4\/4 + 318*y**2. What is c in u(c) = 0?\nAnswer: -1, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1068, 4\/1615 in descending order.\nAnswer: 1068, 2, 4\/1615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 0)*(-j**4 - j**4 - j**4) - j**4 - 3*j**4 + 6*j**4 + 1 + j**2.\nAnswer: 14*j**4 + j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = y + 265, 0 = 2*a - 4*y - 260 + 90. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 0, -2, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*u + 29*u - 3917 - 4201 for u.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2556682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -13*a. Let m(v) = 12*v + 15*v - 25*v. Calculate m(g(o)).\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97795.46 nanometers to meters.\nAnswer: 0.00009779546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4949084? (a) 0.4 (b) -0.4 (c) -2 (d) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -51?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*l**3 + 87*l + l**2 + 30*l**3 - 7*l**3 + 2 - 85*l as y + k*l + i*l**3 + o*l**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r + 1. Give t(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12453?\nAnswer: 3, 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.03 - -0.38?\nAnswer: 2.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6683433401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-seven fifths of a milligram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 18. Let j = -11.9 - u. Let t = 2.9 + j. Which is the nearest to -0.1? (a) -3\/2 (b) t (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 577353652?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2. Let s(k) = -1263*k + 20972*k - 5617*k - 7042*k. Give v(s(t)).\nAnswer: -99405000*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -477, -915, -1353?\nAnswer: -1791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 2*r**5\/15 - 11*r**4\/24 - r**3\/3 - 155*r**2. Let i(y) = -3*y**2 + 4*y + 1. What is 4*f(s) + 11*i(s)?\nAnswer: -s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h. Let k(b) be the second derivative of -b**4\/12 - 2*b**3\/3 + b**2 - b. Suppose -4*w - 35 = -31. What is w*k(p) - 6*t(p)?\nAnswer: p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(104)*1 + sqrt(104))\/sqrt(8).\nAnswer: 3 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -3\/4*c**4 + 0 + c**2 - c + 7\/6*c**3. Let a(w) = 0. What is w?\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-225)*5*((-66)\/6 + (-4336)\/(-392))\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128)\/96*(-3)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6733 to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210676 is divided by 198?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 5*j**3 - 370*j**2 - 8105*j + 127270 = 0.\nAnswer: -26, 11, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - 4.5. Let t be 7\/((-28)\/(-33)) + (-16)\/2. Suppose z = 12 - 10. What is the biggest value in 0, z, v, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53122504 + 3.\nAnswer: 53122507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2*o = -z, 3*o = 3*z - 0*o - 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4483 + -4482. Let s = 23 - 25. Which is the nearest to s? (a) v (b) 4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 8 + 4. Sort 5, u, -4, -3 in decreasing order.\nAnswer: 5, u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1155774.181 + 495.\nAnswer: 1156269.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 5050?\nAnswer: 5050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -169 - -169.067. Let y = j + -48.067. What is the third biggest value in 0, y, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 15*p - 19*p + 43, -5*u - 3*p = 77. Sort 2, 5, -5, u, 1.\nAnswer: u, -5, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*g**2 + 18*g**2 + 8*g - 3 - 8*g + 0*g**2 to the form i*g + t + a*g**2 and give a.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 3, 13.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -117*d**3 + 2*d. Let b(p) = 1288*p**3 - 23*p. Determine -4*b(m) - 46*g(m).\nAnswer: 230*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12981, 13089, 13355, 13857, 14673, 15881, 17559?\nAnswer: 19785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 35. Let t(v) = v**3 - 5*v**2 + 5. Is t(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -73*s**5\/60 - s**3\/3 - 160*s**2 + s. Let t(y) = 6*y. Determine t(q(b)).\nAnswer: -438*b**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from mjk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 23. Suppose -4*j = -3*j + o + f, 6 = -j + o. Is ((-2)\/6)\/(j + (-17936)\/(-3588)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*q - 226 = 761 + 301 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -2*o - 1315734*y + 1315733*y, 0 = -18*o + y - 383 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 426, 987, 1762, 2745?\nAnswer: 3930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67534847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 198213853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 - 4 + 14 - 10. Let u(r) = 5*r. Give w(u(g)).\nAnswer: -50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -1062*g - 5. Let c be o(5). Let s = -3485 - c. Suppose -q + s = 2*k + 3*q, k + q = 916. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3092352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3+-388164\nAnswer: -388167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**3\/3 - 13*h**2\/3 + 10*h = 0?\nAnswer: 0, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 88, -29 in ascending order.\nAnswer: -29, -2\/13, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(4*k**2 + k**4 - 4*k**2) + 251*k**4 - 713*k + 713*k.\nAnswer: 250*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(143) + sqrt(143))\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 8 (c) -2\/13 (d) 0.1 (e) -0.073\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 258843310 to the nearest 1000000.\nAnswer: 259000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 18*v**3 + 2*v**2 - v. Is r(1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5.503596 years?\nAnswer: 0.05503596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*x = 68, -x = 2*h - 9 - 19. Suppose -16*m + 2142 = -23*m. What are the prime factors of (0 - 2)*m\/h?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j + 146 + 178 = 0. Suppose -201 - 723 = -j*c. What is the remainder when 306 is divided by c?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 516*y = 243*y + 50778. What is the smallest common multiple of y and 868?\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3900*h**3 + 5444*h**3 + 2*h**2 - 2*h**2 - 2099*h**3.\nAnswer: 7245*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59500\/(-1400)*(-3)\/(-2)*16\/(-20).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.13 + 6.87. Let t = 8 - o. Let a = -1691 - -1687. What is the closest to 0 in a, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4 - 13*n**3\/2 + 37*n**2\/2 + 5*n.\nAnswer: -n*(n - 2)*(n + 5)*(4*n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1257, -16.6, 1\/2, -42, -2\/5 in increasing order.\nAnswer: -42, -16.6, -2\/5, 1\/2, 1257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-7 - (-16 - -17)) + 80 - 14\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 5 (b) -146 (c) 0 (d) -5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 11*y**8\/336 + 5*y**4\/12 - 2*y**2. What is the second derivative of k(g) wrt g?\nAnswer: 220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffzalfaaflflglfaf. Give prob of sequence gz.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -943, -13102, -47719, -116026, -229255, -398638?\nAnswer: -635407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*r = 2*r + 7, 54 = 4*b + 5*r. Let v = 16 - b. Suppose v*i + 4 = -1. Which is smaller: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrgrerrerr. What is prob of sequence gr?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 35 = 14*p. Solve 7 = 8*r - p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 + 76. Sort 4, q, -1 in decreasing order.\nAnswer: 4, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -3. Let q = u + 4. Which is greater: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64269221 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1\/4, -20, -2, -0.683, -197?\nAnswer: -0.683","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 232873?\nAnswer: 6\/232873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -5*v - 2*n, v - 4*n = 0. Suppose -m - 11 + 7 = v. Let i be (m\/(-3))\/(4\/30 - 0). Solve 0 = -2*w - 3*q - i, -q = 2*w - 3*q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.72060869 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**5\/20 - 13*b**4\/12 + 4*b**2 - 10*b - 1. Let p be y(13). What is the tens digit of -2*(-4 + 2)\/p*498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from {b: 5, q: 1, s: 1, r: 3, u: 4}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 348215, 348213, 348211, 348209, 348207, 348205?\nAnswer: 348203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -16050 (base 15) to base 7\nAnswer: -413565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.13426 - 0.04574. What is the third smallest value in 2\/3, 1, -1\/3, 3, d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -10*o**5\/3 + 5311*o**4\/24 + o**2 + 2088. What is the second derivative of g(f) wrt f?\nAnswer: -400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -145 - 181. Suppose -2*v + y = 3*z, -3*z + 5*v = 2*v - 336. Does 109 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 540 = -2*c - 215, 5*c = 25. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i + 2*i + 3*i)*(-3 + 2*i + 3) - 28670 + 118*i**2 + 28670 in the form q*i + z*i**2 + n and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 divided by -23890?\nAnswer: -47\/23890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21310 - 314225?\nAnswer: -262615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 - 34. Suppose -t = 2*n - 42. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezzyettyzz. Give prob of picking 3 z.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 1164906.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1900 - 801. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3857 by 6.\nAnswer: 3857\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 719.8167t to milligrams.\nAnswer: 719816700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 191*p - 192*p - 2*q + 5, 0 = -12*p - 4*q + 20 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 5*z + 16. Let r be l(-7). Suppose 2*a - 5*i + 6*i - 74 = 0, 3*a - 4*i - r = 0. Does 19 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -2, 1, 6, 13, 22?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 7*d - 1. Give p(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4 + 4 - 2*s + 63*s**3 - 6 - 2*s**2 + s**2. What is the units digit of g(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhsy when four letters picked without replacement from ykwyzsh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -17*j**2. Let d(s) be the first derivative of -s**5\/60 - 13*s**3\/3 - 2*s + 34. Let x(n) be the third derivative of d(n). Calculate x(t(r)).\nAnswer: 34*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2698 - 578 = -7*n + 5*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eho when three letters picked without replacement from eeheoeotxonhoh.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31590000 rounded to the nearest one million?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 10*d**2 + 301*d + 6. Determine a(23).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = 2*o - 2*u + 2, -5*o + 4*u = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -102662799 less than 1.11817?\nAnswer: 102662800.11817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3 - 4 + 0 + 2*l**2 + 2*l**2 - 1108*l**3 - 3*l. Is y(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 33 = -3*b, -5*b - 28 = 56*g - 54*g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -361205.8 to the nearest 100.\nAnswer: -361200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*f - 126 = -31*f. Let r = -38 - f. Suppose 9*s - r*s = 850. What are the prime factors of s?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9763248*a**3\/5 - 23433960*a**2 + 129891*a\/5 - 36\/5 = 0. Calculate a.\nAnswer: 1\/1804, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 + 58. Let a be r + -1*(-12)\/(-4). Let b = -5 + a. Which is bigger: b or -1\/37?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 5*q = 798. Let i = q + -12. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1332)\/24)\/37 + 9\/2. Solve -5*y + 20 = -k*s, 81*s = 86*s + 2*y - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-73 + 1256\/24)\/((-2)\/6*2).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 0.162, 12\/13, 2\/17, 2 in descending order.\nAnswer: 2, 12\/13, 3\/7, 0.162, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0813 + -2.3653. Let d = 0.284 + h. Let x be (1 - -3)*(-2)\/(-60). Sort x, 5, d, 4.\nAnswer: d, x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753 is divided by 127.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129204.\nAnswer: 2, 3, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 534151463 to the power of 1\/2, to the nearest integer?\nAnswer: 23112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1499490, -2998977, -4498460, -5997939, -7497414?\nAnswer: -8996885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, t: 3}. What is prob of sequence tc?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99988 is divided by 12498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, w: 2, u: 3}. What is prob of sequence uwhh?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 3*u - 2*u)*(6*u**2 - 3*u**2 - 2*u**2)*(0 + 2 - 4)*(-8 + 2 - 6).\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*q + 7 = -66, 2*s + 5*q - 83 = 0. Suppose 44 = a + s. Suppose a*i + n - 114 = 0, -2*i + 0 + 42 = 4*n. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 12) in base 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -13*d + 10*d + 4 + d. Let f be x(3). Let t be 86\/18 + 2\/9. Sort 0, t, f.\nAnswer: f, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2. Let k(v) = -111113*v**2 - 1. Let l(j) = k(j) + 2*q(j). Let z be l(3). Round z to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/35856 and -25\/8985912.\nAnswer: 161746416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6797*8.\nAnswer: 54376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6*g**3 - 2*g**2 - 3*g - 4. Let x = -8 + 38. Suppose -x = 4*u - 9*u. Let w(k) = k + 6*k - 7*k**3 + 9 + 4*k**2 - u*k**3. Give -9*d(z) - 4*w(z).\nAnswer: -2*z**3 + 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + c**2 - c + 1. Let g be p(-2). Is -1 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/10 and 18\/1985.\nAnswer: 3970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s - 3. Determine a(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -16*v**2. Let r(y) = 230*y - 19. What is a(r(b))?\nAnswer: -846400*b**2 + 139840*b - 5776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*h + 3, 0*h - 12 = -3*h + o. Suppose 82 = -5*c + h*x - 50, -x - 68 = 3*c. What is the remainder when c\/10*100\/(-6) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (2 + 0) - (60 + -24 - -34)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**6\/3 - 2*d**5\/5 - 3*d**4 + 28*d**3\/3 - 11*d**2 + 6*d + 3. Solve o(z) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 + -41. Let z be (-7)\/(-28)*22*6\/33. Solve z + 11 = j*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f = 92*f - 24*f - 847 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -3, -1, -7 in decreasing order.\nAnswer: -1, -2, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 2*s**5\/15 + 2*s**3\/3 - 3*s**2. Let b = 273 + -279. Let v(h) = 9*h**2 + 5. Determine b*z(r) + 5*v(r).\nAnswer: -3*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((((s*s**12)\/s)\/s)\/s)*s**(-1)*s*((s**(-3\/8)\/s)\/s)\/s**(-3\/5) assuming s is positive.\nAnswer: s**(-431\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-225)*-3*20\/(-8).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2683 is divided by 749?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289760.\nAnswer: 2, 5, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106593409?\nAnswer: 13, 8199493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 30 = -15*c + 16*c, 15 = 3*c + 3*n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 38 = -8*u, -5*q = -6*q - 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-310*z - 212*z - 28*z)*((-5*z**2 + 3*z**2 + 3*z**2)*(1 + 1 - 3) + 0 + 0 + 2*z**2)*(-2*z + 5 - 5)*(8*z - 2*z + z).\nAnswer: 7700*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -333\/2494 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 35942*o**2 + 35935*o**2 + 3*o.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22111020 - -102?\nAnswer: 22111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -158, -618, -1374, -2426, -3774?\n\"Answer: -148*l**2 - 16*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1970?\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2388302447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, h: 3, j: 7}. Give prob of picking 3 j.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6, -31, -74, -135?\n\"Answer: -9*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + 1. Suppose 0*p = -d*p - 45. What is the remainder when 110 is divided by 1 + p + 92\/4?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100 (base 2) in base 6?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -521 - 59*b + 521 as x + w*b and give w.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39032.99988568 - -39033. What is z rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/6*(-1810)\/724*1\/(-5).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - 33. Is 23 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 52 and -289.144709.\nAnswer: -237.144709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 2:20 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -7*t**5\/90 + 5*t**4\/9 - 8*t**3\/27 + 4*t. Factor x(l).\nAnswer: -2*l*(l - 4)*(7*l - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1 = -5. Solve -3*i - 6 = -3*h, 0*i = -2*i + f*h - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 898 is divided by 503?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 902309867 to the power of 1\/2, to the nearest integer?\nAnswer: 30038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6096 divided by -28042\nAnswer: 3048\/14021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1, 21, 3, -73, -225?\n\"Answer: -3*h**3 - 2*h**2 + 49*h - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1419251288?\nAnswer: 2, 7, 13, 278503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -2*f, -10*t = -2*f - 6*t - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/25 of a microsecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 times 0.02468?\nAnswer: -0.78976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3463524 (base 8) in base 7?\nAnswer: -11011026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c**5 - 1065*c**4*t + c**2 - 20671*c*t - 2*t wrt c.\nAnswer: 240*c**2 - 25560*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 199929470 to the nearest one hundred thousand.\nAnswer: 199900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1332 and 648.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 30 = 8*w. Suppose 0 = w*i - 0*i - 72. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/29, 0.3, -2\/5, -4, -18, 310?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 781, 40, -1 in increasing order.\nAnswer: -1, 40, 781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40405 + -27015?\nAnswer: 11370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 242 and 4268.\nAnswer: 46948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -14*z. Let a be s(-8). Let j = a - 92. Is 8 a factor of (4 + -2 + 19)*j\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 26*g**2 + 15*g + 245. What is m(25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 4488?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1724 - -539. Let d = -683 - y. What are the prime factors of d?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-5)*a)\/(a*a**(2\/19)))**(-34)\/(a*a*a**(-5)*a*a*a*a*a*a**(-1\/6)*a**1*a*a**(-3)*a) assuming a is positive.\nAnswer: a**(19579\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.151 + -2.849. Which is greater: k or -0.46?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z + 7. Let c be (-4)\/(-14) - 0 - 92\/28. Let i be v(c). Calculate the highest common factor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5*(-2)\/45)\/(2\/(-18)). Solve 0 = k*g + 2*g - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3410 a factor of 180511761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 18*z - 70. Let r be i(4). Solve 4*d = r*d - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*sqrt(55)\/(2*sqrt(5)).\nAnswer: sqrt(11)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96*u - 84*u**5 - 29*u + 104*u - 3*u**2 + 3*u**2 wrt u?\nAnswer: -1680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3519, -7040, -10561, -14082, -17603, -21124?\n\"Answer: -3521*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 13. Let l be (15\/12)\/(2\/16). Let d be g(l). Suppose 25 + 56 = y + d*z, z - 81 = -y. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 12:42 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mymyjmyjyymmmm. Give prob of sequence yymm.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/10)\/(((-96)\/(-20))\/(-12)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 540191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -79 + 91 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 20 = -4*w, -4*c + 4*w - 6 = 7*w. Let a(h) = 34*h**3 - 35*h**3 + 3*h - 6*h**2 - 8 + 3*h. Let n be a(-7). Sort n, c, 4.\nAnswer: c, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 2*i**2 - 2*i**5)*(0 - 2 + 3) + i**5 - 1244*i**3 - 399*i**2 - 2 + 398*i**2 + 459*i**3.\nAnswer: -i**5 - 785*i**3 - i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -472066642 divided by -645782?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-140)\/(-14))\/((-4)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - t - 2*t - 432.\nAnswer: t - 432","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 8:07 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 457*a**2 + 5484*a + 7. Determine j(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42980749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/(1254\/216) + 1 + 1. Let g be (14\/4)\/((-35)\/(-5)). Which is the nearest to v? (a) 5 (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.9 - -0.6. Suppose -u + 4 = 1. Let i = 1 - u. Sort a, i, 4.\nAnswer: i, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/2819 (b) -13 (c) 110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 6*s + 22. Let z be y(-8). Let o = 48 - z. Suppose b + 252 = 5*b. Calculate the greatest common divisor of o and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*w + 8 = 0, 2*k - w - 20 = 4*w. Suppose 0 = -5*r - k*r. Which is greater: -1\/4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i - 69. Let v(f) = 379520*f + 2. What is v(j(w))?\nAnswer: -1138560*w - 26186878","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95 + 206. Calculate the remainder when 1*(t - -1)\/2 is divided by 16\/40 - -1*(-279)\/(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55971\/10 - 5596. Find the common denominator of d and 70\/52 - 1*2.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/18 - (-652)\/(-18). Let t be 2 - 2\/(j\/537). Let a = t - 32. What is the second biggest value in -5\/2, 0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 25.2. Let z = d - -1.8. Let s be 5*((-318)\/(-150) + -2). Which is the closest to -0.2? (a) z (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108 + 108.47. Let r = 0.07 - x. Put r, 2\/9, -0.3 in ascending order.\nAnswer: r, -0.3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/(-10))\/(4\/40). Solve 3*r - h = -0*k - 3*k, 3*r + 2*k = 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/6)*r*r**(-5)*r**1*((r**2\/r)\/r)\/r)**3 assuming r is positive.\nAnswer: r**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x + 2. Suppose 0 = -g + 5*q + 11, 3*g + 2*q + 3*q + 7 = 0. Let h be c(g). Solve h*d = 2*d - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v + 81*v**3 - 79*v**3 + 2 - 3*v in the form p*v + s + u*v**3 + k*v**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 7:47 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l. Let a(o) = 16429*o + 586. Determine u(a(h)).\nAnswer: 32858*h + 1172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21542 - -50?\nAnswer: 21622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2*(-3)\/(-6) - -37 is divided by 636\/21 + (9750\/273 - 37)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 263160?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 71 = 3*b - 0*b, 0 = 3*c - 2*b - 114. Suppose 16 + c = k. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 5*p - 8 = -0*p - 5*p - 2*r, 5*p + 111*r - 266 = -34 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011111111100101001100 (base 2) to base 10.\nAnswer: -3144012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/15504 and -37\/7106?\nAnswer: 170544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -1. Let w = -212 + 211. Which is the second biggest value? (a) 1.9 (b) j (c) w (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**11*c\/c**(2\/27))\/(c\/(c*c*c**(-1\/4)))**(36\/5))**(4\/25) assuming c is positive.\nAnswer: c**(-1984\/3375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5479916 - 8.3.\nAnswer: 5479907.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13210131 (base 4) to base 7.\nAnswer: 156252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 3)*(2*d - 3*d + 0*d) + (1 - 2 + 2)*(d - 2 + 2) - d + 5*d - 3*d + 1197 - 1197 + 209*d in the form f + q*d and give q.\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/13 (b) 1\/27 (c) -5 (d) 2\/1009 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -175 + 174.98. What is the nearest to k in 2, -10, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8495734591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5787381126 to the power of 1\/3, to the nearest integer?\nAnswer: 1795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18903.\nAnswer: 3, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*p**2 + 153*p**2 + 0 + 0.\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -226 - -223. Let q(r) be the first derivative of -r**4\/4 - r**3 - r**2 - r - 2. Give q(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -3*t**2\/2 + 59*t - 30. Let d be i(20). Put 1, -4, d, 15 in descending order.\nAnswer: 15, 1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.27? (a) -2\/11 (b) -3 (c) 1\/6 (d) 1\/14 (e) 2.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 2*(-3 + 2). Suppose 2*w = -0*w + 2. Let l(j) = 0 + 1 + j + w. Calculate l(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3557 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 165*u**3 + 45. Let i(q) = -15*q**3 - 4. Determine 45*i(b) + 4*m(b).\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -9*l - 3. Let x(a) = -5*a - 1. Let s(u) = 4*i(u) - 7*x(u). Let h be s(-4). Let v = h - -9. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 30*j - 26. Suppose -4*n + 29 + 32 = g, 2*g = -n + 24. Let r be x(n). Solve 0 = -2*l - r*a - 8, -2*a - 14 = 2*l + 3*a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 220*j - 36806. Give s(168).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 5:50 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -593.517837 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 11*h - 17. Let v be o(9). Let c = 45 + -43. Let m = 4 - c. Sort -1, v, m, 5.\nAnswer: -1, v, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 519 divided by 2?\nAnswer: 519\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -144? (a) 1\/12 (b) 1\/33 (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -233190 by 3.\nAnswer: -77730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1744889.\nAnswer: 1021, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k - 16 = -13*k. Suppose -k*m + 6*m + 14 = 0. Differentiate 3*l**2 + 0*l + 25 + m*l**2 + 0*l wrt l.\nAnswer: 20*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 45\/10*2\/3. Let b = w - -3. Solve 0*s = 3*s - b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-45)\/(-20) + 3 - (-7 + 7). Factor -p*r**2 - 1\/2*r**3 + 1\/2*r + 0 + 3\/4*r**4.\nAnswer: r*(r - 1)*(r + 1)*(3*r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -34. What is the remainder when 49 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -641*c + 26 = -628*c. Solve 0 = -4*v - k - 16, -4*v - 4*k = -c + 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/9*(-1 + -5). Suppose -4*c = j*f + 2, c = -c. Sort 3, f, -3 in descending order.\nAnswer: 3, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 210*v**2 + 2*v + 1. Let r be k(-1). Let u = r + -141. Let c = 77 - u. Calculate the remainder when 17 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/9 and -25\/1441914.\nAnswer: 4325742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19745?\nAnswer: 5, 11, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*m*r*s**2 - 4*m*r*s + m*r + m*s**2 + 18*m*s + 7*r*s**3 + r - 5*s**3 - s wrt s?\nAnswer: -40*m*r + 2*m + 42*r*s - 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/23)*k*k)\/k*k\/((k*k*k**(-29)*k*k)\/k*k))**(-1\/9) assuming k is positive.\nAnswer: k**(-215\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -7. Suppose -4*n = -9*n + r + 6, -4 = u*n - 2*r. Sort n, -5, 4 in ascending order.\nAnswer: -5, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, y: 11, q: 3}. Give prob of sequence yyky.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -38*t**3 + 3*t**2 + 4*t + 8. Is f(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1480\/(-148)*(-14)\/(-35)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1658 is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -71\/4 (b) -2 (c) -1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*n + 187 - 26*n - 31*n)*(2 - 7 + 1)*(3 - 5 + 3 + (0 + 1 + 2)*(1 - 1 + 2)).\nAnswer: 28*n - 5236","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24692307*a + 24692307*a - 11873*a**2.\nAnswer: -11873*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 1\/4*g**4 + 1\/2*g**3 + 0 + 2*g - 1\/20*g**5 + 3\/2*g**2. What is p(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 22, -4, 0, 4 in descending order.\nAnswer: 22, 4, 0, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times -243398?\nAnswer: -17037.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -5.2. Let s = g - 4.7. What is the second smallest value in 0.07, 0, s?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ogzgogzjzg. Give prob of sequence zgzj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/34127 and -85\/2.\nAnswer: 68254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.07921 + -1.92079. Which is the biggest value? (a) x (b) -2.3 (c) -0.2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 44*f + 346. Determine q(31).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.239 from -27401.\nAnswer: -27398.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 981 = -50*p + 53*p. List the prime factors of p\/7 + 4\/(-168)*-12.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*a - 3525 = -258*a. What is the greatest common divisor of a and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 198263.\nAnswer: -2\/198263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -18\/5 - 84\/5*l - 98\/5*l**2 = 0.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -25) + (33 - (18 + -4)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.69 - -8.1. Let q = 0.34 - s. What is q rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 11*i**2 - i - 9. Let y be u(-11). Suppose -y*p + 0*p - 16 = 0. Let c = -3 - p. Solve 4*h - 1 = c*s - 11, s = -3*h + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/((-1375)\/(-44)))\/(4\/(-30)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/(-153)*3*-18.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464 is divided by (-4)\/20 - 2548\/(-65).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**9*r**(2\/15))**30 assuming r is positive.\nAnswer: r**274","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**5\/15 + 2*i**2. Let f(d) be the first derivative of -3*d**2\/2 - 10. Give f(n(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j**2 + j - 2. Suppose -5*c = -c + 60. Let y = 17 + c. Is 24 a factor of o(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6016*g**2*z**2 - 290*g**2 + 357*g - 3*z**5 - 2*z**2 + z wrt z.\nAnswer: 12032*g**2 - 60*z**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v)**(2\/95)\/(v**(-2))**13 assuming v is positive.\nAnswer: v**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365921 is divided by 252?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*u - 2*u. Suppose u*n + 2*d = n + 6, -4*d = 3*n - 9. Calculate the greatest common divisor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2082.05 to the nearest 10.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -154, -0.4, 0.1, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8628, -8629, -8630, -8631, -8632?\n\"Answer: -i - 8627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 15, f: 3}. Give prob of sequence fff.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, n: 4, q: 6, j: 2}. Give prob of sequence jj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*c + 163*c - 15 - 15 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2, -3, -5957 in descending order.\nAnswer: 14, -2, -3, -5957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2947*i**4 + 9*i**3*k**3 + 3*i**3*k**2 - 10*i**2*k - 163*i*k**3 - 2 wrt i.\nAnswer: -70728*i + 54*k**3 + 18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46? (a) -5 (b) 6 (c) -2\/3 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32*q**4 - 90670*q**3 + 4*q + 19402795 wrt q?\nAnswer: 128*q**3 - 272010*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 16. List the prime factors of (12\/(-21))\/(l\/(-21)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116 + -119. Which is the second smallest value? (a) -4 (b) 0.2 (c) j (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 565817355?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 1845.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p + 3*p - 2*p**4 + (-2*p - p + 0*p)*(9*p**2 - p**3 - 9*p**2) - 6*p**4 + 4*p**4 + 3*p**4 to the form h + b*p**2 + a*p + j*p**4 + i*p**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23932, 23928, 23934, 23956, 24000, 24072, 24178, 24324?\nAnswer: 24516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from {w: 7, t: 6, p: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1220 times 222\nAnswer: 270840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*w - 188*w + 3729 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/(r**(-6)*r))\/r*r)\/r)\/(r\/(r\/r**(-6)*r))*((((r**(1\/4)\/r)\/r)\/r)\/r*r)**(-2\/81) assuming r is positive.\nAnswer: r**(2117\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 7 (c) 2\/11 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 289 = 4*d, 0*l - 3*l + 3*d = 840. Let o = -237 - l. Calculate the greatest common divisor of o and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(0 - -1)*(-16)\/(-6). Let p be m\/(-10) - (-2)\/10. Find the first derivative of p + 4*v**3 + 0*v**3 + v**3 wrt v.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(343)*-1 - (sqrt(7) - (-4*sqrt(7)*-2)**2)*-2.\nAnswer: -896 - 19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26440b5 - 3?\nAnswer: 26440b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + q**2 + 1. Let y(v) = -82*v**3 + 34*v**2 - 9. Let l(j) = 18*o(j) + 2*y(j). What is the third derivative of l(c) wrt c?\nAnswer: -1092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1342*h**2*j**2 - 182*h + 946326*j**2 + j wrt h?\nAnswer: -2684*h*j**2 - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3540 + 3542. Let z = -5 + 3.5. Let o = -1 - z. Put o, i, 4 in decreasing order.\nAnswer: 4, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57109931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**2\/2 - 11*f - 11. Determine w(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*z - 0*y, -15 = 5*z - 5*y. Suppose -z*q + 4*q + 98 = 4*t, q - 20 = -t. Solve t*p = 19*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/1729 - -15384\/102011. Let k = 32\/177 + d. Suppose x - 6 = -1. What is the fourth smallest value in 1.1, -2\/7, x, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-78)*28\/(-7)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 5*a - 164, -g - 4*a = 4*g - 164. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 3*q = -145, -15*b - 34*q + 778 = 2459 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131550*g**2 + 44698*g.\nAnswer: -263100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 5*v = 604. What are the prime factors of v?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h - 34. Calculate q(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y - 4. Let t = 77 + -53. Suppose -3*k + t = 3. Is 7 a factor of i(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d2 - 39d?\nAnswer: -2bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**4\/4 + 4*w**3\/3 + w**2\/2 + 4*w + 5. Is 11 a factor of b(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -7*i**3 - 7*i**2 + 9*i + 9. Let w(r) be the first derivative of 3*r**4\/4 + r**3 - 2*r**2 - 4*r + 37. Give -4*m(b) - 9*w(b).\nAnswer: b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 32. Suppose 5*l + 24 + k = c, 4*l = 5*c - 360. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 52*j**2 - 26*j - 4186. Calculate m(-53).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*l**3 - l + l.\nAnswer: 87*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 1684*s**2 - 13*s - 19. Let m be v(-4). Let h = -17456 + m. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-5)\/((27\/360 - (-3)\/(-24))\/4) and 110.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(-2*h + h + 0*h) - 6*h + 4*h + 0*h - 3 - h + 3 - 10 + 10 + 5*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 92 + 93 = 3*x, -5*u + 165 = -x. Calculate the remainder when 201 is divided by u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5191490 and 22870.\nAnswer: 5191490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -11*c - 485. What is the remainder when i(-49) is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.508 - -0.097997.\nAnswer: 0.605997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*(5*2*sqrt(1216) - (1*sqrt(1216) + sqrt(1216) + sqrt(1216) + -1 - sqrt(1216))**2).\nAnswer: -2016*sqrt(19) + 87570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 + (-76)\/40 - (1 + -2) and 73\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -0.3. Let i = 4.611 - 0.011. Let z = i + -1.6. What is the smallest value in z, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**4\/12 - 4*s - 6. Let j(n) be the first derivative of y(n). Let r(i) = 7*i - i - 21*i - 3*i + 5*i. Give r(j(t)).\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 55838\nAnswer: -9\/55838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 15 (c) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/17 in -1, 3\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -410 + 594. Let d(j) = j**3 + 187*j**2 + 383*j + 2428. Let o be d(-185). What is the greatest common factor of m and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74364 divided by -3.\nAnswer: 24788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**7\/42 + p**6\/30 + p**5\/10 - p**4\/6 - p**3\/6 + p**2\/2 - 3*p. Let i(t) = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 5*x**2 + 5*x + 5. Calculate p(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/2)\/((-1)\/(-88)). Let n = -221 + 394. Let t = u + n. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.4 + -2.4. Let b = g + -0.0000088. What is b rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -231 + 233 - v - 30*v**2 + 65*v**2 - 29*v**2 + v**3. Let m(j) = j**2 + 4*j - 3. Let y be (-4)\/4 + -2*1. Let i be m(y). Give w(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -666*h - 67. What is the thousands digit of z(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-3\/23)*(z*z\/(z*z**(-16)*z))\/z*((z*(z\/(z**10\/z)*z)\/z)\/z)**(1\/37) assuming z is positive.\nAnswer: z**(13543\/851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 108, -0.6, -5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3725, 14348, 31867, 56264, 87521?\nAnswer: 125620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2135)\/(-2989))\/((-8)\/(-14))*28.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22805.\nAnswer: 5, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 8:54 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*o - 3*r, 3*o + r = 2*o - 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2564552 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2700 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**4\/6 - 2269*y**3\/6 + 17300*y**2 + 21306*y = 0.\nAnswer: -6\/5, 0, 53, 402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (286\/6)\/1 - ((-620984)\/(-1092) + -567)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + g - 1. Let h(n) be the third derivative of n**5\/20 + n**4\/4 - n**3 - 250*n**2. What is h(r) - 6*z(r)?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24d0cd + 1c?\nAnswer: -24d0b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 6*w**3 + 12*w**2 + 17*w - 7. Determine q(-3).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 389 and 67?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*4\/18*6. Is 6 a factor of 3 - (-2 - 76\/h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*z - 8. Let p(x) = x**2 - 7*x - 5. Let h be p(z). Calculate the common denominator of 47\/(-2 + -3 + h) and -59\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14235875.89 rounded to the nearest one thousand?\nAnswer: 14236000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(5) + -5*sqrt(5))**2 - sqrt(5) - 3*sqrt(10)\/sqrt(2)) + 3.\nAnswer: -4*sqrt(5) + 483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) 5 (c) -261\/5 (d) 0.14 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5*5\/(-403). Let s = 1219\/2015 - o. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 175 and 350.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 692890156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 499443 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 174958452 to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21183 and 35029?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12201183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1195 + 1999. Suppose 4*p - 1056 = j. Let u = -316 + p. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3355?\nAnswer: 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 385*s**2 + 66987*s - 458. Give i(-174).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 1615010*z**3 - 3*z**2 + 17*z - 15. Is n(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-322)\/(-46)*(12\/(-27))\/((-8)\/12)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-63)\/12))\/((13\/21)\/(325\/450))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 q when four letters picked without replacement from caqkucakcacacal?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -q + 2*m, q - 44 + 10 = -3*m. Let a = 0.0453 + 0.9547. What is the second biggest value in 5\/2, -4, q, a?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 19 = 1. Suppose -n - 11 = -2*n. Let i = c + n. Solve -3*r + 14 = 2*r - 3*t, -3*t = 4*r + i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122 take away 10?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 101592, 100798, 100002, 99204, 98404, 97602, 96798?\n\"Answer: -m**2 - 791*m + 102384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1615543.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 936 - 330. Let m = u + -601. Let k(a) = a**3 - 3*a**2 - 8*a + 3. Determine k(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 88, 166, 244, 322, 400?\n\"Answer: 78*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**10*n**0)**(-2\/157) assuming n is positive.\nAnswer: n**(-20\/157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*-1*sqrt(208) - -2*(sqrt(208) - (sqrt(208) - (sqrt(208) + 2)))) + -2).\nAnswer: 12 + 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 421366177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -20. Let p = -8556 + 8556. Which is the nearest to 3? (a) u (b) -2\/5 (c) p (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*q + 95, 0*f - 80 = -3*q + 4*f. Let p be (-59)\/((-4)\/(-6) - 1). Suppose 0 = -3*n - 0*n + p. Calculate the remainder when n is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46096033*c**5 - 26870*c + 1823 wrt c?\nAnswer: -921920660*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 17795400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12217 = -261*y - 2660 for y.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.11 - -0.10999824. Round h to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -20. Let r(g) = 3*g**2 + 3*g - 2. Let b be r(l). Let v(p) = -p**3 + 6*p**2 - p - 5. Determine v(b).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9766 and 41891.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -673517 + -21420.07?\nAnswer: -694937.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1997*l + 13463 - 13463)*(-3 + 1 + 0) as h*l + n and give h.\nAnswer: 3994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 3*p - 9 = 2, 2*u - 2*p + 2 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Let v(h) be the third derivative of 7*h**5\/10 + h**3\/3 - 235*h**2. Determine t(v(q)).\nAnswer: 42*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 + 46.2. Let f = -5.8 - i. Which is the biggest value? (a) -2 (b) f (c) 1 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 10*j - 22. What are the prime factors of k(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 11. Let g be 0 + 1*4\/t. Let i(d) = -d**2 + 5*d + 2. Let n be i(5). Put n, -1, g in decreasing order.\nAnswer: n, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7933483 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-400)\/560*(-3276)\/325)\/(4\/(-30))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/575554 and -127\/58730?\nAnswer: 2877770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1010 (base 2) to base 7\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.285 and -0.9.\nAnswer: -0.615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 1*sqrt(72) + 4)**2 + sqrt(1568) + (-1 + sqrt(1568))**2 + -3 + sqrt(1568))*3.\nAnswer: -36*sqrt(2) + 4917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/6)\/n)\/(((n*n**(-19))\/n)\/n) assuming n is positive.\nAnswer: n**(115\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 20 = j - 2, -f - 3*j = 4. Suppose -f*t = -6*t + 15. Let x(r) = -56*r + 1. What is the remainder when x(-1) is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 79507977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -52*h**2 - 3*h + 0 + 0*h**3 - 19\/20*h**5 + 1\/2*h**4. Factor m(g).\nAnswer: -3*g*(19*g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -10\/3*s**4 + 2\/3*s**3 - 21\/20*s**5 + 0*s**2 - 35*s + 0. Suppose y(r) = 0. What is r?\nAnswer: -2, 0, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -340 - 3410420?\nAnswer: -3411200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837090?\nAnswer: 2, 3, 5, 71, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 16*i - 65*i)*(0 + 2*i + 0)*(-1 + 3 - 5).\nAnswer: 504*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 1:15 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111865063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 115 + -2166320?\nAnswer: -2166202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -47934467 and -47934467 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7*m**3 + m**2 - 20*m + 5. Let t(p) = -p**3 - p + 1. Determine -n(g) + 6*t(g).\nAnswer: g**3 - g**2 + 14*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - 2*i**2 + 172*i**3 - 5*i**4 - 174*i**3 + 6 + 6*i**4 to the form z*i**2 + r*i**3 + p + n*i + d*i**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -85, -66, -39, -4, 39, 90?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + o - 20. Suppose 4*f = -7*f + 1034. Let y = -94 + f. Determine v(y).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 36 = -16. Let f(j) = j + 3. Let d(x) be the first derivative of -x**2 - 7*x - 2. Give g*d(w) + 9*f(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**4\/12 - 2*g**3 - 109*g**2\/2 - 75*g. Is 6 a factor of z(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 60 = -2*y. Let a be 20\/(-120) + 2\/y*1585. Let b be 171\/(-6)*a\/(-36). What is the greatest common divisor of 19 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(288)*2 + sqrt(288))*-1 - ((-1*sqrt(288) + 0)**2 + 5).\nAnswer: -293 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*s = -14, 5*w - 2*s = 3*w - 8. Suppose 3*m - 5 = 4*m. Put 2, m, w in ascending order.\nAnswer: m, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1516576 to the power of 1\/2, to the nearest integer?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*i*n + i*t - 13*i - 13*n*t + 2*n - 287*t - 2 wrt t?\nAnswer: i - 13*n - 287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6384249?\nAnswer: 3, 71, 97, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 142120 a multiple of 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -37, -51, -83, -139?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*v**4 + 524*v**2 + 11720 with respect to v.\nAnswer: 16*v**3 + 1048*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 4*u = -11, -6*l - 12*u - 71 + 6 = -11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 + 19*g - 32 + (1 - 3 + 4)*(3*g + 3*g - 4*g) + 2*g + 2 - 2 - g - g + 3*g - g - g + g to f + j*g and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 20*z**2 + 102*z - 55. Give i(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.17 + -2.83. What is the second biggest value in -0.1, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5 = 0, x + 35 = 2*x + 5*n. Is -1 + 391\/3 + (-10)\/x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11270*g + 3040 = 11175*g for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 11*o**2\/2 - 33*o + 413. Determine a(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52850*f**2 - 54810*f**2 - 2*f + 116085*f**2.\nAnswer: 8425*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*q + 417026 = 81*q + 152891. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 3 = -l, 213 = 8*w + 3*l. Solve 5*n = -w + 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -7 + 14 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 7*n = 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -1, 0 = 2*k - 3*a + 2*a - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -160489 divided by 3?\nAnswer: -160489\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 57\/76 + 2\/8. Suppose j = -4*j + 100. Which is the nearest to x? (a) -4\/5 (b) 2\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1826)\/66 - 30) + (-6)\/(-9)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + d + 162 + 58 = 0, 0 = -d + 4. Let s be 34\/(1\/2*4). Let u = -3 + s. What is the highest common factor of r and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193589009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -17*(190\/85 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*j - 1 + 2*j**4 + 3*j**3 - 70*j - 59*j + 237*j as w*j**2 + i*j + t*j**4 + f + a*j**3 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) -14 (b) 5 (c) 116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4043 and -0.033.\nAnswer: -133.419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**17*l**6 assuming l is positive.\nAnswer: l**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from vmmxkyymmvmym.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a + a**3 - 15*a.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w - 66. Let j be x(22). Solve 0*t - 4*t = j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14166 - 14027. Calculate the remainder when h is divided by 52.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 16 + 40 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*24\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*5*4\/40?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 546\/(-325)*(-800)\/1440?\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 17 - 3 + 4*q**3.\nAnswer: 4*q**3 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 1:25 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(10 - 22))\/(3\/(6\/4))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-12 + 5 - (-1 + -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -10. Let o = g + 11. What is the highest common factor of 42 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 2*w + 3192*w**2.\nAnswer: 3192*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -6. Suppose 3*a = -2*f + f + l, -a + 7 = -3*f. Let n = 4 - a. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**4\/5 + 85226*l**3\/5 + 363139461*l**2 - 1452830580*l = 0?\nAnswer: -42615, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28651, -28750, -28863, -28996, -29155, -29346, -29575?\n\"Answer: -o**3 - o**2 - 89*o - 28560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n. Let f(l) = 25*l. Let v(a) = 3*f(a) - 21*h(a). Let b(o) be the second derivative of o**4\/12 - 358*o. Give v(b(q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -211*o*v + 400*o - v wrt v.\nAnswer: -211*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1663 - -1570 - (0 + -100)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -22. Suppose -t*m + c + 0*c + 72 = 0, m = -c + 18. List the prime factors of (-1)\/(-5) - (-1872)\/m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 968997934 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f + 6 - 18. Let h(m) be the first derivative of -37*m + 21 - 3*m**f + 37*m. Determine h(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 2784.\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + l + 10 = g, 22 = 3*l + 5*g. Let m be 2\/(-14)*-30 + 56\/(-196). Suppose 3*z - 8 = -l*q + 2, -2*q = m*z - 30. Which is greater: z or 8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1404062*u**2 - u*v**3 + 1322550*v**3 with respect to u.\nAnswer: 2808124*u - v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68.8 + 68.7287. Let h = d - -0.071299353. What is h rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bcc when three letters picked without replacement from yccyb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437945478391 + 437945478391 + 3*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 - 11059*z - 1587457. Give w(-140).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 - v - 1. Calculate the remainder when 2948\/(-1474) - ((-61)\/3 - (-4)\/(-6)) is divided by m(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110123 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*a + 5. Let j(w) = -3*w - 3. Let g be j(a). Calculate the remainder when 28 is divided by g\/9 + 44\/3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 5*i**2 - 4*i - 16. Let l be n(-5). Let m be -3 + 1\/2 + 42\/12. Let a be (m\/(-3))\/(7\/(-42)). Solve -2*y - l = -a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20045 - -20042. Sort 8, j, 0.3, 54.\nAnswer: j, 0.3, 8, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69507449329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*n + 1118 = -0*n, f + 5*n - 241 = 0. What is the least common multiple of 32 and f?\nAnswer: 3616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 v when four letters picked without replacement from rrvrrrrrrrvrururu?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from qjbtbbubt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*s = -5, 2*m + 3*s - 26 = -37. Let g = -5 + 7. Which is the third biggest value? (a) g (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 331, 335, 341, 349, 359, 371?\n\"Answer: y**2 + y + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58648 is divided by 4170.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*z - 0. Let f be (2 - (2 - -4))\/(21\/(-63)). Let w be 56\/f*(4 + (-176)\/42). Is w at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, p: 1, a: 4, n: 10}. What is prob of picking 2 a and 1 w?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2855 divide 45305995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**2 + 8*x - 4. Calculate b(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 96. Let g be o(18). Are g and 113 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10071\/135 - (12\/210)\/((-18)\/126).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + -31 + (-1 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/3 - 64243*z**3\/3 + 899255*z**2\/3 - 3147221*z\/3.\nAnswer: z*(z - 64229)*(z - 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a hour in seconds?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 21, 5, 3 in descending order.\nAnswer: 21, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 0. Let y be c\/(-2)*16\/4. Factor -8 + 8 + x**3 - 5*x - 6*x**3 + y*x**2.\nAnswer: -5*x*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -894*d**2 + 1670*d**2 - 951*d**2 + (0*d**2 - 2*d**2 + 6*d**2)*(2 - 6 + 2).\nAnswer: -183*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 + 4*l - 3990000. Suppose 2*g + 3*t + 2*t = -20, 5*t = 3*g - 20. Let a be w(g). What is a rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 199*c**2 - 8200*c - 2146. What is r(-234)?\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 0)*(0 + 3 + 2) + 65 - 172 + 400)*(0*c - c + 2*c).\nAnswer: 298*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 548*g - 549*g - 4*q + 34 = 0, 59*q - 1 = -2*g + 3*g + 58*q for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/60*5)\/1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14)\/(-91))\/(2\/26). List the prime factors of 1\/((-9499)\/4753 + x).\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 1. Let l(f) = 6*f**2 - 2*f + 6. Let q(y) = -460*y - 2764. Let o be q(-6). Let w(k) = 5*k**2 - k + 5. What is o*w(r) + v*l(r)?\nAnswer: -2*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - p + 28, 79*u - 82*u + 3*p + 24 = 0. Solve u*h = 21*h + 27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from zzzhh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j. Let q(o) = -377*o. Calculate q(v(h)).\nAnswer: -377*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9\/35 (b) -1\/9 (c) 4 (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 32 + 2566*j**2 - 8 - 11.\nAnswer: 2566*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/17 - 42292*n\/17 - 223576658\/17.\nAnswer: -2*(n + 10573)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*y + g + 9, y + 15 = -5*g. What is the units digit of ((-6)\/y)\/(6\/(-45))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1535 = 4*c - 12661. Let i = 6120 - c. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1873\/5 + 373. Let f = 2 + p. Let d = 2.2 + -2. Which is the closest to f? (a) -0.5 (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3.0789 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/18 - 3762\/(-162) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqpjwjpgggpjq. Give prob of picking 2 q.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 1048\/(1 - -7) + 8?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2. Suppose -5 = 5*s - 5*i, s + 3*i + 1 = -0. Give m(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7477 + 116*v**2 + 7476 - 113*v**2 + 5*v to j*v**2 + d + c*v and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78015 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/((-55685)\/86))\/((-2)\/2)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 212 + -96. Suppose 12*y - 8*y - k = 0. Let t = y + -6. Calculate the remainder when t is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100000110 (base 2) to base 16.\nAnswer: -706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, w: 6, n: 7}. Give prob of sequence zwnn.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 11*z**2 + z - 7. Let k(f) = -2*f**3 - 14*f**2 - f + 8. Let v(l) = -3*b(l) - 2*k(l). Let r = -6 - -11. Determine v(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -112872\/65 or -1737?\nAnswer: -112872\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1740510 by 6.\nAnswer: 290085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.6 in 0.1, -1\/5, 0.2, -1\/44?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 - -46.17. Let g = 0.46 + s. What is g rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 1:51 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/6*5\/((-200)\/(-12))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 737310 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34 - -531?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.133*-41845.2.\nAnswer: -5565.4116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58.03937 - -0.04937. Let w = p - -58. Put -2\/9, -3, 1\/5, w in ascending order.\nAnswer: -3, -2\/9, w, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 12:02 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -48, -3, -8774 in ascending order.\nAnswer: -8774, -48, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -18*h - 447. Suppose 58 = -2*l + 2*o, 0 = -4*l - 3*o + 6*o - 112. Let u be n(l). Solve 1\/2 - 1\/6*x**u + 5\/6*x + 1\/6*x**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -568 (b) 107 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1749233152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -1375*a**3 - a**2 - 878*a - 876. What is r(-1)?\nAnswer: 1376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 7*u**2 - 5*u. Let h be l(-6). Let k(m) = -11*m - 7. Let q(t) = -22*t - 14. Let j(z) = 7*k(z) - 3*q(z). Is 20 a factor of j(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(180)\/sqrt(3)*6)\/sqrt(2))\/((sqrt(10) - (sqrt(10) - sqrt(10)*-1) - sqrt(10))*-1 + sqrt(50)\/(sqrt(5)*-1))*-3)**2.\nAnswer: 34992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 4:43 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.45 in 8\/253, -26.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0645989894 to four dps.\nAnswer: 0.0646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 14 = -118. Let c = 200\/3 + h. Let m be (0*(-2)\/(-4))\/(-2). What is the third biggest value in m, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1. Let c(b) = 8*b - 19. Let w(f) = -c(f) - 3*z(f). Differentiate w(q) with respect to q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, s: 8, c: 1, w: 1, m: 2, d: 1}. What is prob of sequence swd?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 3*u - 4. Let n(l) = l**3 + l - 1. Let s(z) = 4*n(z) - p(z). What is the units digit of s(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*q**2 + 109*q**2 + 99*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.2 + -2.7. Let q = z + -1.6. Which is the closest to q? (a) -2 (b) -1 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -35*(4 - (-4 + 9)).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -303 - -305. Solve -r*h = h - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53621 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 4*m - 15. What is u(3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4214495073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13415 - 5620. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9233, -9305, -9375, -9443, -9509?\n\"Answer: r**2 - 75*r - 9159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*p + 5*p - 16895, 0 = 3*a + 4*p - 50691. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 479*h**2 + 165*h - 6. Determine w(1).\nAnswer: 638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t - 3. Let h be p(-2). Suppose -h*c + 11 = -2*c. Suppose x = -3*v + c, 14 + 6 = 5*v + 2*x. Solve 5*z = o + 3 + 19, 5*z + v*o = 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 + 3*i**3 - 2*i**2 + 3*i**3 + 3*i**3 + 0*i**3 + (-2*i**2 + 6*i**2 - 2*i**2)*(0*i - 3*i + 2*i) in the form t + z*i**3 + c*i**2 + b*i and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 405 - 303150?\nAnswer: -302341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 2*m. Let j(p) = -7*p + 1. Let o be j(1). Let s = o - -10. Solve m = -c + 2*c - s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/4)\/(3\/(-12)). Let j = 801 - 815. Sort -1, c, j in decreasing order.\nAnswer: -1, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 757.419 nanoseconds to milliseconds.\nAnswer: 0.000757419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -5. Let d = v - 3. Suppose 2*m + 2*s = d*m - 10, m = 4*s + 16. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1059 - -1083. What is the highest common factor of q and 588?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/27, -0.4, 1, -2\/15, 8?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 10:11 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*v = 2*v - 770, v = 5. What are the prime factors of l?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*l + 10*l - 72. Let w(h) = -7*h**3 - 10*h**2 + h - 21. Let s(b) = -3*b**3 - 5*b**2 - 10. Let q(v) = l*s(v) + 4*w(v). Calculate q(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmdmduvvvmfvvvw. What is prob of picking 1 u and 1 m?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 32 = 3*n - o, 0 = -4*n + 3*o - 2. Put -60, 5, n, 2 in decreasing order.\nAnswer: 5, 2, n, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z - 4 + 16*z - 11 + 15.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = d - 5*n, 15*d - 8 + 44 = 3*n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a*d**3 - 5*a*d**2 + 56*a + 964916*d**3 + 5*d - 25 wrt d?\nAnswer: 18*a + 5789496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32965 is divided by 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 279 and 363?\nAnswer: 33759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 3:33 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4828*n**2. Let q(c) = 3*c. Give k(q(z)).\nAnswer: -43452*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-80)\/8 + 12)\/(-3 + 39\/15). Which is the closest to -0.1? (a) y (b) -3 (c) 0 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 2. Let a be b(-6). Let h(l) = l**3 + 6*l**2 - 7*l + 3. Let q be h(-7). Suppose -a*k + 6 + 298 = 4*s, 3*s + 234 = q*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 greater than or equal to 566671\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 420 + -400. Solve -2*h - 2 = 0, -6*h - s = -3*u - h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from adkckkajckkdcdkjj. What is prob of sequence kjjc?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -10, 48, 130, 236, 366?\nAnswer: 520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 49590 and -0.3?\nAnswer: -14877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 53 - -99?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*p**2 + 6*p**2 - 8*p**4 + 6*p**2 + 8*p - 4 + 8*p**2 - 7*p to z*p**4 + v + c*p**2 + s*p**3 + h*p and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 848.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -896.22 - -896.2. Sort -0.06, o, 53\/5 in ascending order.\nAnswer: -0.06, o, 53\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 38\/5 (b) 2\/3 (c) 1 (d) 13.61 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w. Let v(u) = 0*u**2 - 3*u**2 - 2 + 2*u**2 + 2*u. Let a(z) = -5*z**2 + 9*z - 9. Let q(d) = 4*a(d) - 18*v(d). What is k(q(b))?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3400, 7806, 12214, 16624, 21036, 25450?\nAnswer: 29866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -10*w**4 - 21135*w**3 - 5727020*w**2 + 8627535*w - 2879370 = 0.\nAnswer: -1794, -321, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*h + 3*l, 8 = 5*h - 2*l - 46. Suppose -26*v = -24*v - h. Solve s = v*s + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -117530032.54 and -1719.\nAnswer: -117531751.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/2, -0.067, -0.2, 3\/7, 0.3 in decreasing order.\nAnswer: 3\/7, 0.3, -0.067, -0.2, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1607 - -124.4607. Let i = -124 + y. What is the third smallest value in -2\/3, i, 9, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r**2 - 7*r - 15. Let h be p(7). Suppose 5*b = 2*n + h, -3*b - 6*n + 4*n = -99. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 46\/8*56420\/(-22). Let r = 14749 + d. Find the common denominator of r and 57\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 5*f = -26, 6*s + 455 = 3*f - 438 + 911 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/4 + 1\/(-4). Suppose -5*h + 18 - 32 = 3*c, 2*c + 5*h + 16 = 0. Suppose -4*v + i + 10 = -u*v, -i + 8 = c*v. Solve -v*p = -2 + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4328183633 to the nearest integer?\nAnswer: 65789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.0995, -2\/11, 12128?\nAnswer: 0.0995","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**4 - 46*u**3 - 57*u**2 + 116047*u.\nAnswer: 12*u**2 - 276*u - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*b**2 - 14*b**2 + 6*b**2)*(-b**3 + b**3 - b**2 - 2*b + 2*b**3).\nAnswer: -38*b**5 + 19*b**4 + 38*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3520888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/96)\/(9\/2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 321996090 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(13\/2)\/b**(1\/9))\/((b*b**(-1\/10))\/(b**10\/b)))**46 assuming b is positive.\nAnswer: b**(29992\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**5 + 10*p**4 + 14*p**3 + 6*p**2.\nAnswer: 2*p**2*(p + 1)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*b - 9, -5*z + 7*z = 3*b + 6. Which is greater: -2\/231 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.8 - 5.3. What is the third smallest value in 0.4, a, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/35 + (-12065)\/(-133). What is the greatest common divisor of 13 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -13*j + 145. Suppose j*i - 819 = 22*i. What is the remainder when i is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-125) + (-14)\/5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v**2 - 417037*v - 2. Let s(j) = -3*j**2. Determine t(s(x)).\nAnswer: -36*x**4 + 1251111*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 + 116. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -34*k + 87 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 12*a**2 + 36*a + 5. Calculate l(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**3\/2 + 5*v**2\/2 - 12*v - 1. What is t(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 66, -4, -0.4, -37, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2 = 4*s + 9, 5*v - s - 24 = 0. Find the second derivative of -14*u**v - 134*u + 6*u**5 + 130*u wrt u.\nAnswer: -160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/49))\/b**(2\/47) assuming b is positive.\nAnswer: b**(2111\/2303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (-52)\/(-24))\/(-1). Let w(h) be the third derivative of 0*h**4 + i*h**3 - 1\/60*h**5 + 0*h + 0 + h**2. Differentiate w(z) with respect to z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.26 - -0.26. Let j = 14.7 - 1.7. Let z = j + q. Put 2\/5, z, 0.1 in ascending order.\nAnswer: 0.1, 2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5046 and 25230.\nAnswer: 25230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.158? (a) 2 (b) -0.047 (c) 1\/2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 4706, -1.54?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -229404, -229140, -228698, -228078?\n\"Answer: 89*x**2 - 3*x - 229490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-94)\/(-18) - (-2)\/(-9). Suppose 0 = 2*x - 5*s - 0*s - 33, 0 = 2*x + w*s - 63. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*m**3 - 344*m**2.\nAnswer: -4*m**2*(13*m + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-3))\/(74\/(-6)). Let v(z) = z**2 - 6*z - 7. Let l be v(7). Is c equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5936, 1, -8, -2\/5, 14, -1\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/1*(-34)\/((-2720)\/(-540)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16379, 16381, 16383, 16385, 16387?\n\"Answer: 2*q + 16377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2\/7 (b) 1 (c) 575\/18 (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhh. Give prob of sequence hhj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*l - 4*l - l)*(-2 + 2 + 11 + (-1 - 1 + 0)*(-4 + 6 - 3) - 29 + 1 + 6).\nAnswer: -72*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 76.84204 years?\nAnswer: 922.10448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8082.08 + -1?\nAnswer: 8081.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/15)\/((-4)\/3)*0. Suppose 4*c + x + 2*x - 2893 = a, -4*c + 4*x + 2928 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30\/59 + 976\/295. Factor 16\/5*d**2 + 32\/5*d**3 + 2\/5 - v*d.\nAnswer: 2*(d + 1)*(4*d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 3)*(4*u**2 - u**2 + 0*u**2).\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 9*n - 3. Let g be z(-9). Let a = 0 - g. Find the second derivative of -3*l - 18 - a*l**2 + 18 wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1909 - -5728\/3. Which is the closest to -9? (a) -2\/7 (b) p (c) -0.2 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75956.\nAnswer: 2, 17, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q**3 + 3*q**2 + 441*q + 187. Give b(0).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -117, -5, 1, -6 in decreasing order.\nAnswer: 1, -2, -5, -6, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5085177 and 981?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 3 + ((-24)\/(-3 - 1) - -52)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -17*i**2 - 4*i. Let q(m) = 9*m**2 + 2*m. Let z(g) = -6*l(g) - 11*q(g). Determine z(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((9 + -8)*(1 + 2)). Let s be 10\/9*4\/(-10). Let o = 10\/63 + s. Which is smaller: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from ewfffwlewffffwflwf?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 263, -1, 5, -8, 6, 0 in increasing order.\nAnswer: -8, -1, 0, 5, 6, 263","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*l + 44*l - 16*l = 79189861. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p. Let o(l) = 4*l. Suppose -5*u + 0*u + 25 = 0. Let x(h) = u*q(h) - o(h). Is x(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-7)*(-1008)\/144?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -5. Let r = -3 - g. What is the derivative of 5 - 2 + w - r wrt w?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.204 and -0.5.\nAnswer: -0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -758858?\nAnswer: -758858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*m + 42*m + 31*m + 148 + 4*m with respect to m.\nAnswer: 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298940 is divided by 4922?\nAnswer: 3620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.18 (b) -0.3 (c) -0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyydyyyyydyyyydddyd. What is prob of sequence dy?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 + (-120 - -91 - -79).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -0.2, -0.5252633 in ascending order.\nAnswer: -5, -0.5252633, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 22*a - 45. Suppose 0 = p - 4*u, -p - 4*u = 67 - 27. Let g be r(p). Let i be (-3)\/5 + (-2)\/5. Sort i, g, 2 in ascending order.\nAnswer: g, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -41, 5, 0.07?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 105490597 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: Simplify ((x\/(x\/(x\/(x\/(x*x**(-2\/3))*x)))*x)**(3\/44)*(x*x**11\/x)\/(x\/(x*x**(2\/23))))**(2\/43) assuming x is positive.\nAnswer: x**(11243\/21758)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57565 is divided by 6396.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 + 18. Let y = 46 + g. Find the third derivative of -12*j**2 + 16*j**3 - 18*j**3 - 2*j**y - 12*j**3 wrt j.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.888152 less than -805.914?\nAnswer: -811.802152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 6:28 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*q = 62*q - 64. Suppose -4*i = -3*j - 4378, q*i - 28*i - j - 4382 = 0. What are the prime factors of i?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3447928?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-63)\/12))\/((-6)\/42*-122)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.28 - 8.28. Let q = 511\/31 + -52615\/3348. Let t = 1\/54 - q. What is the nearest to -1 in l, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -0.09.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -247, -478, -711, -946?\n\"Answer: -l**2 - 228*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + -1 + sqrt(18))**2 + sqrt(18) + sqrt(2) - (sqrt(128) + 2).\nAnswer: -16*sqrt(2) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.55 - 5.68?\nAnswer: -67.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 7*x**2 - 7*x - 4. Let q be i(8). Suppose 21 = 2*t + 3*u, 3*t + u - 8 = 6. Solve 5*o - t*o - q = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*f - 54, -f - 22 = -h - 0*h. Suppose 4*k - 2*c - 5 = 9, -c - 13 = -5*k. Suppose 25 - 7 = k*z. What is the remainder when h is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**4 + 25*n**3 - n**2 - 24*n**3 - n**4 as y*n**3 + v*n**2 + d*n + q*n**4 + j and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -22.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2 - 5*p + 5. Let k(z) = -2*z**2 + 2*z - 2. Let t(n) = 2*i(n) + 5*k(n). Let u(s) = -4*s**2. What is u(t(a))?\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/14 - (-5514)\/42. Calculate the highest common divisor of 1254 and f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 0)*(-1 - (-4675)\/20). Suppose 29*j = 10*j + f. Calculate the smallest common multiple of 14 and j.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184262889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9 + 18.1. Let j = t - 2. Let z(o) = -o - 22. Let f be z(-26). Which is the biggest value? (a) -4 (b) j (c) 0.2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-6)*222\/185.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -413, -409, -395, -365, -313, -233, -119, 35?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 70 = -3*q. Suppose -5*x - 17 = -v, -6*v + 2*x + q = -2*v. Solve 1 = -v*z - 9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 35069320?\nAnswer: 35069320.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 5*g**2 + 3*g + 19. Let u(y) = 10*y**2 + 2*y + 1. What is the remainder when d(5) is divided by u(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttctc. Give prob of sequence cc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 x when three letters picked without replacement from {o: 2, x: 11, a: 1}.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -0.135?\nAnswer: -0.135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.1*6.\nAnswer: -24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.110251 and -182.5.\nAnswer: 20.1208075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 9*h**2 + 39*h - 2. Let b be s(3). Solve -67*y = -b*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 + -3ab0?\nAnswer: -3a9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*q - 1 + 2 = 0, 1 = -r - 2*q. Is 14 a factor of (-10)\/(r*1\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 12*c - 6 = 0. Suppose 6*k + c = 5*k. Let n(i) = -i**3 - 5*i**2 - 4*i. Let p be n(-3). Sort p, k, -5.\nAnswer: p, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7216\/(-15744))\/((-55)\/4)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12793962 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1410*b + 54613 - 16543 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 2*v + 3*v + ((2*v - 5 + 5)*(0 + 3 - 1) + v + 1 - 1)*(-72 - 39 - 10))*(2 + 5 - 13).\nAnswer: 3588*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 9035, -4 in decreasing order.\nAnswer: 9035, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 362653045 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114433131 - 3?\nAnswer: 114433123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 155 + -65. Let y = 875 - r. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 2. Suppose 0 = o*c - 10 - 5. Let m = 8 - c. Solve 2*s = m*s - 4*l + 4, 2*l - 2 = -5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g = 2*w + 2015, 3020 = -3*w - 4*g. What is w rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9.5, -3\/5, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m**4 - 4*m**3 + 2*m**2 - 2. Let j(k) = -k**4 - k**3 - k - 1. Let h(w) = 2*j(w) - u(w). Solve h(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**3\/3 - 8540*i**2 + 18232900*i - 38927241500\/3 = 0. Calculate i.\nAnswer: 2135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4629.\nAnswer: 3, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/5 + 969*s**2\/5 + 180246*s\/5 + 356624\/5.\nAnswer: (s + 2)*(s + 248)*(s + 719)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 127319753 to the power of 1\/3, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2364 and 3.\nAnswer: 7092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 12*f**2 - 14*f + 133. What are the prime factors of s(-15)?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -209, -213, -215, -215, -213?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 6*f. Let m = 0.1 - 3.1. Which is the nearest to m? (a) -0.1 (b) f (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 + 40 + 31 + 36)*(4*g + 5*g - 2*g).\nAnswer: 448*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4915033757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -595 take away 319227412.363?\nAnswer: -319228007.363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtx when three letters picked without replacement from xxttjjtjxxtjttt.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*k = -373*k - 260*k - 10402 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 390 + -371. Suppose 1999 = u*v - 3834. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.078*-33.9.\nAnswer: 2.6442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 2*h + 15 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 8 = -2*y, -5*y - 5*j - 5 = 5. Let k be (y - (-10)\/5)\/2. Let d be (-1)\/(k\/4) - 0. Solve -2*z + d = 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -38*51*3\/(-18). Let h = 22 - 17. List the prime factors of (-5 - -1)*(b\/(-4) + h).\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -3 + 4 + -2 + 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 + 40. Let q = 63 - k. What is the units digit of (-8)\/q + 55\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m + 10*m + 0*m**2 - 7*m + 3*m**2.\nAnswer: 3*m**2 + 14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 1\/4, -1, 5 in ascending order.\nAnswer: -1, -0.06, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 8*x - 12. Suppose 24 = 3*h - 5*c, 0*h + 9 = x*h + c. Suppose -5*n - 5*r + 99 = -2*r, 0 = h*n - 5*r - 39. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h*l**4 - 3*h*l**3 + 3*h*l**2 - 1956*h*l - 8638*l**4 - 70*l**3 + 395*l**2 wrt l.\nAnswer: 24*h*l - 18*h - 207312*l - 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + y**2 + y + 37. Calculate the remainder when (-402)\/((-30)\/10)*(-9)\/(-18) is divided by v(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6805876 divided by 89551.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 11*r - 41. What is z(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14897050 to the power of 1\/2, to the nearest integer?\nAnswer: 3860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 135 - 131. Suppose 8*l - 3*l = 50. Suppose 0 = n*q + q - l. What is the least common multiple of q and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*y + 20*y = -54. Solve -19*g + 22*g - y = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74474800 rounded to the nearest one million?\nAnswer: 74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + -0.4. Let v = 119 - 118.938. Let c = -36.062 + v. Sort k, -0.5, c in descending order.\nAnswer: k, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3 + 651413*l**2 - 1954248*l = 0 for l.\nAnswer: -651416, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116244\/108 - ((-48)\/(-9) - 4) is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - a = 4, 5*k - 348 = -5*a - 338 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6 - ((-309675)\/62220 + 11) and 9\/40?\nAnswer: 41480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 54 = -28*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 0.3 (c) -3\/8 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5390 = -906*r + 27226 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143 - 136.1. What is z rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {x: 13, z: 5}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 3:40 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 3 = 3*y, -4*o + 5*y + 47 = 0. Suppose 5*t = o*t. Solve -4*g - 3*g + 35 = t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3\/4 + 903*c**2\/4 - 3651*c\/4 + 2745\/4.\nAnswer: 3*(c - 3)*(c - 1)*(c + 305)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by -1?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 34. Let u be -1 - (-3 - j - 8). Let b(r) = r - 6. Calculate b(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -20.\nAnswer: -7\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 18. Find the common denominator of 30\/19 and (-55)\/f*(-7)\/14.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/8 + (-82)\/(-4) is divided by (-45)\/5 + 3 - -12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 736639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 1, c: 2}. Give prob of sequence bo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-19)\/38)\/(2\/(-16)). Solve -4*r - 4*o + 24 = 0, 3*r - 3 = v*o + 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*q - 3*k + 6 = 52*q, 17*k = 3*q - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -14*w**2 + 5. Let n(x) be the second derivative of 51*x**4\/4 - 27*x**2 - 19*x - 4. What is -54*d(r) - 5*n(r)?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjgjjyylyyjyjyy. Give prob of sequence jjy.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 19 = -s - 5*m, -2*s - 4*m = -14. Let q be 0 - -26*s\/(-6). Solve 8*k - 4*k + i = q, 4*k - 16 = -4*i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 2940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5087 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (20\/(-44)*-14)\/(-6) and 67\/72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 3\/2, 183?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 14*z + 2. Let a be x(14). Let g(w) = 11 + 8 + w**a - 31 + 3 + 5*w. Let p be g(-7). Solve 3 - p = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 0, 21, 58, 111, 180, 265?\n\"Answer: 8*t**2 - 3*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/110 and 121\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -53. Let d be (-156)\/273 + l + 6\/(-14). Sort 5\/2, -0.2, d, -0.03 in descending order.\nAnswer: 5\/2, -0.03, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0545 and 0.08306.\nAnswer: -0.00452677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 45763785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17905252 is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjjdcjdjcjdpccj. What is prob of picking 1 p and 1 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 times -2234?\nAnswer: -268.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 12*d**2 - 23*d**2 + 32*d**2.\nAnswer: 21*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2. Let k(f) = -142*f + 5194 - 5194. Determine i(k(z)).\nAnswer: 20164*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/22*(-3276)\/(-11466)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vo when two letters picked without replacement from ovoviiigvi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 15 = -0*x + 5*x, -2*f + 2*x = 0. Suppose -8 + f = -u. Solve -2*c = u*c - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vbibbivvbbbbbv.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(156))\/(5*sqrt(48)\/sqrt(4) + sqrt(12)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 664 - 1638. Let u = -448 - p. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(180) - (-3 + sqrt(180)*2)) + 2*sqrt(180) + -5 + 6*(sqrt(180) + 1 + sqrt(180)) + sqrt(180) + sqrt(180) + -4)**2.\nAnswer: 40498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 949211 is divided by 135600.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 882.37l in millilitres?\nAnswer: 882370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2206 + -4?\nAnswer: -2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-42)\/35)\/(12\/15). Which is the second smallest value? (a) 157 (b) 4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*z - 6*z + 0*z)*(0 + 0 + 4) + 2*z - z - 3*z + (-6 + 6 - 2*z)*(5 + 6 - 2) + 4*z - 23*z + z in the form q*z + k and give q.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from {v: 7, e: 11, q: 1}?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10d + -15c?\nAnswer: -26a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 143060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 23639.09 millimeters?\nAnswer: 2363.909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -138 - -139.49. Let q = r - 1.7. Let v = 0.29 - q. Which is the second biggest value? (a) v (b) -1\/2 (c) 4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114190.\nAnswer: 2, 5, 19, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2809521771 a multiple of 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 5*h + 2. Let x(z) = 4*z - 1. Let j(t) = -2*p(t) - 3*x(t). Let i(d) = d**2 - 11*d + 30. What is the remainder when i(10) is divided by j(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 227*c**3 - 14*c**2 + 7*c - 141. Let d(k) = -113*k**3 + 6*k**2 - 3*k + 70. Let x(a) = -7*d(a) - 3*p(a). Differentiate x(h) wrt h.\nAnswer: 330*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 84*z. Let j(h) = 42*h + 45*h - 102*h. Give j(n(c)).\nAnswer: -1260*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c + 112 = -31*c. Let a = c + 91. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/(j\/(j**(2\/33)*j))))*j)**(-17)*(j**5)**(16\/3) assuming j is positive.\nAnswer: j**(-92\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4288601269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12435 + 12438. Solve s + 4*n + 5 = 9*n, a*n = 3*s + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*n = 329*n - 540 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-870)\/185*12\/8 + (-21)\/(-3).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/14 - 3*(-186)\/42. Let k(b) = b**2 - 10 + i*b - 10*b - 9*b. Let q be k(-8). Calculate the greatest common divisor of 153 and q.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -10*i**2. Let r(y) = -2*y**2 + 7*y - 19271. Determine r(c(x)).\nAnswer: -200*x**4 - 70*x**2 - 19271","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 291*k + 2668*k**4 - 531 + 2303 - 291*k wrt k?\nAnswer: 10672*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-8))\/(3\/((-3)\/2)). Let k(w) be the second derivative of 0 + 7*w + 3\/2*w**3 - j*w**4 - 3*w**2. Let k(t) = 0. Calculate t.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.669313 * -0.5\nAnswer: -4.8346565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 36, 24, -0.14, 0, 15, -0.4?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6197 = 36*x - 4747. Calculate the remainder when x is divided by 148.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - m. Let f(i) = 3*i**3 + 3*i + 1. Determine -f(g) - 4*w(g).\nAnswer: g**3 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(29\/(-118)) + ((-260)\/(-182))\/(70\/(-196))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -315*m**2 - 107.\nAnswer: -630*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22829225 is divided by 57.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-7))\/(1 - 15\/14). Suppose y = 3*q + 3*r, 4*q + 2*r - 23 = -5. Solve q*o = -5*s, s = -4*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256*m**2 - 2*m + 2*m.\nAnswer: 256*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20542215.\nAnswer: 3, 5, 37, 37013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8906.764 litres to millilitres.\nAnswer: 8906764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 4908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.769 + 1.499. What is the second smallest value in 3, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**3 - 9*h**2 + 7*h - 19. What is w(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - r - 3, -7 = 5*q + 3*r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 47*s - 17. Does 19 divide m(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 458?\nAnswer: 1\/458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -1 + 9. Suppose 12 - 31 = -y. Let i = h + y. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**6\/30 + k**5\/5 + k**4\/2 + 2*k**3\/3 + 8*k**2. Factor v(d).\nAnswer: 4*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*j**2 - 133 + 131\/2*j = 0. What is j?\nAnswer: -133, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.42 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.139 rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 284, 22 in descending order.\nAnswer: 284, 22, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 826 is divided by 410.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 1\/15, 0.4, -4, 0.15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 1 - 7 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 8:25 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -b + 1. Let z be -1*2 - (b - 4). Suppose -c - z*c = -45. Solve 2*m - c = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 0*q + 0*q)*(6*q**3 - 3*q**3 - q**3) - 3*q**4 - 2*q**4 + q**4 to the form l + i*q**3 + z*q**4 + v*q**2 + j*q and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 2*s - 110. What is the remainder when s is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0, -2, 0.4, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + (9 + 0 - (18 - ((-29 - -17) + 7)))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**3\/3 - h**2\/2 - 12*h + 2. Suppose 31*l = 8*l + 92. Suppose l*r = 7*r. What is q(r)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 39\/73 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 11:18 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3478778\/25 or -139152?\nAnswer: -3478778\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -21*l**2\/8 - 328203*l\/4 - 281313\/8 = 0.\nAnswer: -31257, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 18*q + 71. Let o be x(21). Let g(c) = c**3 - 9*c**2 + 12*c - 15. Calculate the remainder when 132 is divided by g(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/819 and -29\/104?\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 - 84.5. Which is the fourth biggest value? (a) -1\/4 (b) 2\/5 (c) o (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, k: 4, l: 2, f: 1, e: 2}. Give prob of picking 2 k.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 + ae4?\nAnswer: af4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/130 and (18\/(-8))\/((-21)\/(-21))*-1*2?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138966 is divided by 23129.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 831808 by 51988.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + (6 - 6 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -7*i**3\/2 - 4*i. Let o(b) = 3*b. What is o(k(j))?\nAnswer: -63*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 4*x. Let d(m) = 3*m + 2. Let y be d(-2). Give c(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {j: 6, a: 4, i: 3, n: 6}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -262.8312 - -263. What is y rounded to three decimal places?\nAnswer: 0.169","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 299933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.7 + 8. Let g = -467 + 373. Let n = g + 96. Which is the nearest to x? (a) 3 (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xexx when four letters picked without replacement from exexxxeexexexexxxee.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 411313466?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/36 and (-1*1 - (-199)\/9)\/(-238 + -10).\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, u: 1, f: 1, d: 2, e: 2}. Give prob of picking 1 r and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 51. What is t(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 581501.8 years in millennia?\nAnswer: 581.5018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 924 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 64c3 (base 15) to base 14\nAnswer: 7abb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 87963 divided by 3\nAnswer: 29321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f - 4*f**3 - 26242*f**2 - 2 + 26242*f**2 to s*f**3 + a + n*f**2 + u*f and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4026 = -2279*o + 266*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -17*d**5\/60 - d**4\/12 - 384*d**2. Let q(o) = -8*o. Give b(q(i)).\nAnswer: -1088*i**2 + 16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36.6 - -0.4. Let k = w + -34. Let b = -3.0000002 + k. Round b to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - i = 4*g + 29, 0 = 4*g - 535363*i + 535361*i + 46 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -16*u - 126. Determine f(-12).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 769339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-34)\/5)\/((-4)\/10). Suppose -4*t - 59 = f. Let w = t + 39. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from avvvaajvvlpvatvvvvtv.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 523.25027 to the nearest ten.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n + 27. What is the remainder when z(-10) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbknvtkvtnvbkdt. What is prob of picking 1 v and 1 n?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.13112 - -12.76812. Let k = 13.17 - c. Let n = k - 0.59. Round n to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(17))**2 + 1 - sqrt(17) - (-5 + sqrt(17) + -1)**2.\nAnswer: -19 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18598433 and -25.\nAnswer: 464960825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -259, -546, -823, -1084, -1323?\n\"Answer: v**3 - v**2 - 291*v + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139539472111\/17717805416 - 209\/2579762. Let g = v + -1\/1717. What is the common denominator of 29\/(-14)*(0 - -1) and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57057970223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(2\/7)*z))**(-5\/2) assuming z is positive.\nAnswer: z**(45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 221555 times -9\nAnswer: -1993995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1416772673.\nAnswer: 17, 83339569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = 4*m + 4*g, 2*m + 4*g + g = -103. Let i(s) = -s**2 + 11*s + 19. Let j be i(-5). Is j <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 172*a - 169*a + 4*b, b = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2089 - 2104. Is -17 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 17*u**3 - 1. Calculate the least common multiple of 14 and o(1).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284238 is divided by 257?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001010 - 11000010000010?\nAnswer: -11001101001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(16\/5)*o**10*(o**(-2\/3))**(-8))**(8\/5) assuming o is positive.\nAnswer: o**(2224\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/90 and -92\/405.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p. Let o(y) = -5*y + 2*y + 3*y + y**2. Give n(o(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-360)\/16)\/15)\/((-1)\/6). Suppose -r - 8*c + m*c = -49, 3*c + 191 = 4*r. Solve 0 = 4*j - 5*x + 1, 5*j = -3*x - r + 15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iniin. Give prob of sequence nn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 572 divide 801944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a factor of 1303736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((30\/(-9))\/5)\/(22*28\/(-25872))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 830177, 1660353, 2490529, 3320705, 4150881?\n\"Answer: 830176*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -16. Is (109 - -3) + 6 + y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d**2 - 668*d - 4145. What is i(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 o when three letters picked without replacement from {k: 1, n: 1, o: 5, q: 2, h: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nine tenths of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 64526494?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -457*r - 149*r = -17*r + 10811 + 2147 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7937352481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(-6)\/(1 - 7). Determine s, given that 3\/4*s + i - 15\/4*s**2 + 9\/2*s**3 = 0.\nAnswer: 0, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/11 + (-8)\/(-44). Suppose 3*l = 12, f - 20 = -3*l - 6. Let z(a) = -f*a**n - 2*a**2 + a**2. Let o(q) = -q. What is o(z(c))?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t = 35*t + 14*t - 252 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 134, 124, 80, -10?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138922.\nAnswer: 2, 7, 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -4*w - 13*m - 4, 2*w = 5*m + 26. Put 0, w, -3, -8 in increasing order.\nAnswer: -8, -3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31165\/2964 + -230\/247. Find the common denominator of p and (5\/(-82))\/((-2)\/(-5)).\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 14.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(770\/(-33)) - 2\/(-14)*-46. Put -4, -121, o, -3 in descending order.\nAnswer: -3, -4, o, -121","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18910 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -29*h + 110. Determine c(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(16\/30)*2. Let t(i) = 5*i**3 - 4*i + w*i**2 - 2*i**3 + 21 - 2*i**3. Does 15 divide t(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3, 133 in descending order.\nAnswer: 133, 10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00295787294 to five decimal places.\nAnswer: -0.00296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/40 + (-30)\/(-40)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4579069 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 386178?\nAnswer: 386178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 826\/143, -3, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42905 smaller than 42904?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b - 19. Calculate the smallest common multiple of l(5) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293755.\nAnswer: 5, 7, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1383, 2557, 3325, 3483, 2827?\n\"Answer: -34*c**3 + c**2 + 1409*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - 13*v + 192. What is the third derivative of 21*d**2 - 28*d**4 - 2*d**4 - v*d**2 + 20*d**2 wrt d?\nAnswer: -720*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -380 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2035388614 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -487, -483, -477, -469?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 6*a = 2. Let v(j) = j - 7. Let l be v(12). Solve a + 8 = l*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8298, 8208, 8054, 7806, 7434, 6908, 6198?\nAnswer: 5274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -12*p + 12. Let a be w(-6). Suppose -2*h = -h - 2*m - 84, 0 = -h - m + a. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**(-39)*(s\/(s*s*s\/s**(2\/3)))**(15\/2) assuming s is positive.\nAnswer: s**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wccwwvcvcccowvv. What is prob of sequence oc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 3, t: 17}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = -2*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 5*i**2 + 5*i**3 - 4*i**3 - 4*i**3 + 2*i**3 in the form k*i**2 + n + v*i + m*i**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1834*w**3 + 9919*w**2 - w.\nAnswer: 11004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-60))\/((7424\/145)\/64))\/(-6*1)\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j + 151 + 493 - 375 + 2649*j**2 wrt j?\nAnswer: 5298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 408298 and 1744546?\nAnswer: 19190006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*u = 5, -5*a - 4*u - 1 = -0. Which is greater: 7\/262 or a?\nAnswer: 7\/262","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152798 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14058061491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w + w - w)*(0 + w**2 + 0)*(-47 - 18 + 9)*(44*w + 33*w + 73*w) in the form k + f*w**2 + m*w**4 + t*w**3 + o*w and give m.\nAnswer: -16800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**3\/6 + 169*b**2\/2 + 2*b - 433. Let u(x) = -6*x**2. Give u(t(j)).\nAnswer: -6*j**2 - 2028*j - 171366","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(672)*2)\/(sqrt(6) - -2*sqrt(600)))**2 + (sqrt(175) - (0 + (-1 + sqrt(175) + sqrt(175) - sqrt(175)) + sqrt(175)))**2*3*1.\nAnswer: -566*sqrt(7)\/21 + 34336\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 425, 859, 1295, 1733, 2173, 2615, 3059?\n\"Answer: x**2 + 431*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 447*k**2 + 4117*k + 17. Calculate a(-9).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613509 is divided by 523.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7)\/(a*a**12))\/(a*a*a*a**(-5)*a*a\/(a\/(a\/a**(2\/17)))) assuming a is positive.\nAnswer: a**(-1567\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*y**4 + 8*y**3 + 26*y**2 - y?\nAnswer: 240*y + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**4\/4 + 94*m**3\/3 - 275*m**2\/2 + 182*m - 1937. Determine n, given that b(n) = 0.\nAnswer: 1, 2, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 899695\/3 + -299898. Let t = -0.1 - -0.2. Let r = -0.05 + t. Which is the closest to -1\/4? (a) s (b) 0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-126)\/(-35) - 2\/(-5). Let r = -63 - w. Let v = -206\/3 - r. Put 3, v, 2, 0.3 in decreasing order.\nAnswer: 3, 2, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 32. Suppose -t + r = 12. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from reweweewwewwweeew. Give prob of sequence ewee.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -137638, -1098970, -3707674, -8787436, -17161942, -29654878, -47089930, -70290784?\n\"Answer: -137281*s**3 - 365*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -1900*y - 16264. What is s(-10)?\nAnswer: 2736","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*p = 2*y - 3, -4*y + 3*p = 3. Suppose -4*v + 28 + y = 0. Suppose -v*w + 60 = -2*w. Calculate the remainder when w is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*v - 107 - 61 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -74*b**2. Let j(w) = 72*w. What is m(j(y))?\nAnswer: -383616*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 2008.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 + 5*b - 5. Let p(g) = -2*g**2 + 4*g - 4. Let v(s) = 4*f(s) - 5*p(s). Let h(z) = 15*z**2. Determine v(h(u)).\nAnswer: 450*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 20 - 65. Suppose -d*p = -3*p - 364. Find the second derivative of 12*g**2 - 8*g**2 + 7*g**2 + p*g + 12*g**2 wrt g.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (196\/(-84))\/((-10)\/((-20)\/(-4)))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6*a + 4*a**2 - 3*a**2 + 6*a**2 - 8*a**3 + 7*a**3. Let q be d(6). Suppose -3*j + 11 + 67 = q. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 divided by 18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 5*s = 25, 3*f + 2*f + 2*s = -11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -120635510 rounded to the nearest one million?\nAnswer: -121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -67*x**2 - x. Determine i(1).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 7:01 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -6*l + 840000. What is l rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + -1 + -1 + 0. Suppose 3*d + 1 = 10. Let f = d - a. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + r**2 - 6*r**2 + 5*r**2 + 5*r**2 + 7. Let d be j(3). Solve -6*i + i + d = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 8?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**3 - 10*r**2 + 171*r.\nAnswer: 6*r - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v**3 - 237*v**2 + 395*v + 11. Let p(q) = 2*q**3 - 80*q**2 + 132*q + 4. Let x(l) = 4*b(l) - 11*p(l). Factor x(i).\nAnswer: 2*i*(i - 32)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -27*r - 24. Let t(k) = 2*k + 3. Let h(s) = l(s) + 9*t(s). Let v be (-408)\/52 - 2\/13. Let m be 8\/3 + v\/12. What is h(m)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07463 and 0.033?\nAnswer: -0.00246279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 837*k - 4156. Determine h(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 11:01 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -162, -351, -542, -735, -930, -1127, -1326?\n\"Answer: -v**2 - 186*v + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**3 - 22 + 12*v**3 - v**3 + 6*v**3 + 65*v - 20*v**3 in the form u + a*v**3 + n*v + w*v**2 and give n.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -85, -154, -223, -292?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42939 take away -187?\nAnswer: 186.57061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1619, -1774, -2029, -2384?\n\"Answer: -50*p**2 - 5*p - 1564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 9\/4*f**4 + 1\/20*f**5 + 0 + 7\/2*f**3 - 21*f + 2*f**2. Is v(-23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -216.74*11899\nAnswer: -2578989.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iicfiffiffiunfnu. Give prob of sequence nn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzi when three letters picked without replacement from zdzzzzitzzzdtzzdddz.\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**4\/24 + 7*x**3\/2 - 472*x**2. Let h(t) = -t**3 - 5*t**2 - 5*t - 2. Let n be h(-3). Is o(n) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 812825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 17*t**2\/2 + t + 5. What is the tens digit of q(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7 - 2)\/(-10 + 3))\/(27\/(-21))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.207283 times 0.2\nAnswer: -0.0414566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((-1 - -4) + (2 - 8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 + 3*c**2 - 6*c + 1. Let t = 57233 + -57232. Let f(q) be the third derivative of -q**5\/60 + q**4\/24 + q**2. Calculate t*o(k) + 6*f(k).\nAnswer: 2*k**3 - 3*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czcz. What is prob of picking 1 z and 2 c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-328)\/3280)\/(1\/(-5)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93 and 8 + (2 - 1)\/((-2)\/14)?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0072 + 0.007198112. Round s to seven dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -456 (base 8) to base 2.\nAnswer: -100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/1)\/((-3)\/(-2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t + 3*t)*(1 + 0 + 0) + 5 + 2*t - 5 - 3*t + 4*t + 9*t + 8*t - 11 + 11 + (-2*t - 4*t + 5*t)*(-2 - 4 + 4).\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 x when four letters picked without replacement from {x: 5, h: 2, b: 1, k: 6, z: 3, t: 2}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + -3*(sqrt(99)*4)**2 - sqrt(66)\/(sqrt(6)*-3*6).\nAnswer: -4752 + 55*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7875 or -7877?\nAnswer: -7875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y + 11. Let n(r) = 6*r + 12. Let i(z) = -5*k(z) + 4*n(z). Let q be i(-10). Suppose 9*t = q*t + 12. Solve 5*u - 3 = -5*b + 2*b, t*u = b + 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - w)*(0 + 0 - w) + (5*w**2 - w**2 - 2*w**2)*(2 - 4 + 0) + 3*w**2 - 4*w**2 + 0*w**2 + 1 + w**2 - 1 + w**2 + 0 + 0.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57375, 57445, 57529, 57633, 57763?\nAnswer: 57925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -125033 + 1377825\/11. Let y = s - 224. Let n = 5 + -9. What is the nearest to -1\/2 in y, n, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j + 959 = 695 - 1374. Is -84 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 29468488 - 1228488 = 0. Round d to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/(-65))\/(-4)*18\/(-3)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 + 5*w**2 + 14*w - 3. Give y(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10836, -21676, -32516, -43356, -54196?\n\"Answer: -10840*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 1. Let a(m) = -2. Let c(w) = 5*a(w) + 12*h(w). Let j(b) = -b**2 + 11. Let f(q) = -11*c(q) + 2*j(q). Let l(p) = 3*p. Determine f(l(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 3*r - 3. Let i be q(-2). Suppose 2*k - 9*k = 2*k. Do k and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -719850382.599\nAnswer: 719850384.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126\/2*((-1736)\/56)\/(-93).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 71*x - 1. Let k(z) = -11*z. Give k(p(j)).\nAnswer: -781*j + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -711b5?\nAnswer: 711b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 66907716 to the power of 1\/3, to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 21*s**3 - 6*s**2 - 7*s - 3. Is 25 a factor of p(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137 - 149. List the prime factors of (-2240)\/(-6) + 4\/y.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 0. Let y be f + 0 - 0 - -1. Let q = 2 + y. Sort q, -3, -2.\nAnswer: -3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1871 - 1780. Calculate the remainder when 284 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57550.66 centuries in decades?\nAnswer: 575506.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1340 = -4*f + 21*w - 19*w, 2*f + w = 682. Calculate the highest common factor of f and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*u - 224*u + 40*u to the form b*u + s and give b.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b**3 + 93*b - 52*b - 2*b**2 - 51*b)*(-60*b - 27*b - 25*b) to r*b**2 + c*b**4 + y*b + g*b**3 + j and give r.\nAnswer: 1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8568563 divided by -67469?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 12 = -0*w. Suppose -3*f + 0*f + w = 0. Solve f - 1 = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -16. Let p = v + -8. Solve 3*z = p*x + 4, -3*z + 3*x = -z - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -428.41 - -427. Let k = -3.59 + h. Sort -4, k, 3, 5 in ascending order.\nAnswer: k, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 51421?\nAnswer: 51423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 273030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**3 - 65*u**2 + 2*u**4 + u - 5*u + 66*u**2 to the form z*u**3 + d*u**2 + i*u + t + f*u**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 560*n - 4*n**5 + 0*n**2 - 571*n + 0*n**2 wrt n.\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-3))**(2\/41)*(f*f**(1\/9)*f)\/(f\/((f*f\/(f**7\/f)*f)\/f)) assuming f is positive.\nAnswer: f**(-994\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12329 - 7436. Suppose -n + 721 = 3*f - 1723, 2*n - a = -5*f. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*w - w**3 + 4 - w**3 - 4 wrt w?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/4 - 1\/(-2). Let q be ((-2)\/(-10))\/((-46)\/(-690)). Solve 10 = l*b - 0*i - i, 0 = -3*b + q*i + 18 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11\/22)\/(6\/(-28)). Let q = 5 + -2. Suppose q*r = 6*r + 6. Is g at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 24 + -46 + -62 + 111\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -189216 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2938 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 24 = -k, -f = -5*k - 0*f - 120. What is the units digit of (51\/4)\/(k\/(-64))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405364227?\nAnswer: 3, 2647, 51047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 3*z**4 + 0*z**4 - 2*z**4 + 3*z**4 - 150*z**4 + 4255*z**2 - 4255*z**2 + (3 - 4 + 0)*(-z + z - 2*z**4).\nAnswer: -144*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*((sqrt(204) - ((sqrt(204) - (sqrt(204) + (sqrt(204) - (sqrt(204) + sqrt(204)*-2)))) + sqrt(204)))*-2 + sqrt(204))\/sqrt(12))**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/1070 and 105\/55708.\nAnswer: 29803780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -123*f**5 + 8*f**5 - 24*f**5 + 0*f**5 - 3*f**5 + 4*f**5 + (-2*f**2 - 3*f + 3*f)*(-f**3 + 0*f**2 + 0*f**2).\nAnswer: -136*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2011 - 4013 = -d, 2*d = -j + 12043. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -325 (base 6) in base 13?\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82652 by -2.\nAnswer: -41326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (36\/360)\/((-6)\/(-420))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 576968 + -136968. What is r rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 45\/(-22) - 1568745\/(-54010).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s. Let t(i) = -14212*i. Calculate t(k(x)).\nAnswer: 28424*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 2:09 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (1 - -2 - 3) - (-29 + 20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/16)*o**4)\/(o*o**(5\/4)*o*o)**(-35))**12 assuming o is positive.\nAnswer: o**(7329\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10 and 72?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 123, 354, 803, 1542, 2643, 4178?\nAnswer: 6219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -5\/4, -25, 5 in decreasing order.\nAnswer: 5, 2, -5\/4, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 0*r - r)*(6*r - 5*r + 2*r) - r**2 - 2*r**2 + 2*r**2 + (0 - 2*r + 0)*(-2*r - 4*r + 5*r).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 24, 0.04, -16 in increasing order.\nAnswer: -16, -1\/8, 0.04, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -687? (a) 8735 (b) -1\/5 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 399*u**2 + 413*u**2 + 410*u**2 - 1244*u**2 - 18*u - u**3 + 36. Determine f(-21).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1145? (a) 0.4 (b) 1 (c) -0.07 (d) 2\/7 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48 or 148\/3?\nAnswer: 148\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/9? (a) -3 (b) -4\/7 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/16)\/(((-108)\/(-40))\/9)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293961.\nAnswer: 3, 97987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -912657 by 3.\nAnswer: -304219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + n + 2*n)*(-n**2 + 0*n + 0*n) + (-2*n + 5*n - n)*(-3*n + 3*n - n**2).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*t = 3, 7*g - 4*g + 4*t + 31 = 0. Let z be -86*((-44)\/(-8) + g). What is the units digit of -4*2\/(-8) - (1 + z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -22.2. Let c = -0.2 + i. Put -3, -0.1, c in increasing order.\nAnswer: -3, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 169*c**4\/6 - 91*c**3\/2 + 20*c**2 - 8*c\/3 = 0. What is c?\nAnswer: 0, 4\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 11*v**6\/30 + 15*v**3\/2 - 39*v**2. Differentiate f(z) wrt z.\nAnswer: 132*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 0*k**2 + 2*k**2)*(2*k**2 + 0*k**2 - 3*k**2 + (1 - 1 - 1)*(-19*k**2 - 37*k**2 + 25*k**2)).\nAnswer: 30*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uussxuspuxuuz. What is prob of picking 1 p, 1 x, and 1 z?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135717683 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r**2 - 5*r - 5. Let l(d) = d**2 - d - 1. Let o(a) = 5*l(a) - u(a). Let i(c) = 165*c**2. What is i(o(t))?\nAnswer: 165*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2. Let x = -25 - -118. Let z(a) = 176 - 5*a**2 - 176 + x*a**2. What is r(z(p))?\nAnswer: 15488*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 8368*l**2 - l. Let v(q) = q**2. Give d(v(g)).\nAnswer: 8368*g**4 - g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*v = -8349 + 457 + 27 for v.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/31)*d**42 assuming d is positive.\nAnswer: d**(1300\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-3) + 6 + (-26)\/8. Put 0.1, 2\/11, b, 2 in ascending order.\nAnswer: b, 0.1, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + i**2 + 5*i + 1. Calculate d(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15141 (b) 2 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -1, -2, -4 in ascending order.\nAnswer: -4, -2, -1, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 17 = m + 5*s, 5*s - 25 = 0. Suppose 0*t + 2 = t. Let p be 6\/15*5*t. Solve -n - 2*n + 5 = p*j, -30 = m*n - 4*j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24271974*y**2 + 16331604*y wrt y?\nAnswer: 48543948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 72994.56 days?\nAnswer: 6306729984000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -2714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1052, 2752, 5102, 8102, 11752, 16052?\nAnswer: 21002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {t: 1, w: 3, x: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -1. Let o(r) = -6*r - 9. Suppose -5*f + 10 = v, -4 - 23 = -2*f - 5*v. Let x(a) = f*o(a) - 4*d(a). Is x(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 3*y + 95, 3*m = -2*y + 16 + 60. Suppose -m - 8 = -5*g. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**4 - 15004*k**3 - 10381616*k**2 + 7320741904*k - 7310345280 = 0. Calculate k.\nAnswer: -2086, 1, 420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*s + 95 = -90, 0 = 3*s + 3. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38221977 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 8 - 23. Let h = 19 + f. Solve -4*s + 5*w + h = -8, -4*w - 12 = -2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**3 - 5*l**2 - l. Let y(j) = -4*j**3 + 4*j**2. Calculate -2*g(v) - 3*y(v).\nAnswer: 4*v**3 - 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-310)\/4*(-12)\/15. Factor j*l**2 - 9*l**4 - 54*l**2 + 3*l**4 - 2*l**5.\nAnswer: -2*l**2*(l - 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -3871 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 + 10*q**2 - 13*q + 2. Let j = 2 + -8. Let h be d(j). Let t be (6 - (-1)\/(-1))*1. Is t greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13584*j**3 - 27007*j**3 + 13425*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + (sqrt(2299)*1 + sqrt(2299))*-6 + (sqrt(2299) - (sqrt(2299) + -3 + sqrt(2299)))**2 + 1)*-5.\nAnswer: -11540 + 990*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -11*c + 17. Let s be j(4). Let y be s\/(-90)*968\/(-2313). Let w = y + -2\/257. What is the fourth smallest value in w, 2\/7, 2\/5, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2584898976 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**3 + 4*z**3 + 5*z**3.\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*n**3 + 260*n**3 - 764*n**3 + 255*n**3.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2092.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*b - 0*n + 5*n, -4*b = -5*n - 63. Let r be (-10)\/(-3)*b\/5. Let a be 3080\/(-539)*-1*7. Calculate the highest common factor of r and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 8*w**2 + w + 10. Let p be q(-8). Suppose 0 = -0*m + 4*m - 48. Solve m = -l - p*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-23\/5)\/r*r*r*r**(5\/3))\/(r**(2\/3)*r*r**(1\/23)*r))**40 assuming r is positive.\nAnswer: r**(-4272\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = r + 8, 5*r + 0*h - 28 = 2*h. Let t be 1 + 5\/7 + -2. What is the biggest value in -1, r, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 49.04615352 and -5.\nAnswer: 44.04615352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14181 - 694868\/49. Which is the nearest to 2\/3? (a) -0.5 (b) 1\/2 (c) p (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (44\/6)\/((-6)\/(-9)). Let b be (-8)\/(-44) + 42\/n. Let g(h) = h**2 - 2*h - 1. What is the units digit of g(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 229 = -3*v - 3*q, -3*v + 331 = 2*q. Calculate the remainder when v is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 1. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1*-1 + 7. Suppose -2*j - 3*n - i = -0*j, -j - n - 1 = 0. Suppose 2*d = 3*m - 10, 5*m - 13 - 8 = -d. Solve d = 5*p - j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-35 - -6) + (0 - -2). Let g = 17 - k. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2156\/(-33) - (-1)\/3. Let o = t + 125. Does 20 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -7 + 0*f + 16\/3*f**3 - f**4 - 8*f**2. Find h, given that p(h) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3122140243 (base 5) to base 3.\nAnswer: -110010100101222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -164289 or -164284?\nAnswer: -164284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 25 = -5*u - 0*u, u - 5 = 5*o. Let q be (6\/u)\/(6\/20). Is 30 a factor of (4 + 0)\/q - -97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, x: 5, s: 1, z: 2, a: 1, k: 7}. What is prob of picking 2 z, 1 s, and 1 a?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1842, -7362, -16562, -29442, -46002, -66242?\n\"Answer: -1840*s**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.56813 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*k**2 - 12*k**2 - 7*k**2)*(-3*k + 3*k + k**2) - 2*k**4 - 3*k**3 + k**3 + 3*k**4 in the form y*k**3 + b*k**4 + g + h*k**2 + f*k and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 36.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97853175 is divided by 100.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 815 + 623?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 334*b + 310*b + 52*b in the form h + r*b and give r.\nAnswer: 696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - n + 2*p + 10 = 0, 2 = -n + 4*p. Let s be (n\/(-3))\/(2\/(-3)). Is -2*31*s\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64680 minus 3478215?\nAnswer: -3542895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -91*v**5\/60 - v**2 + 181. Let g(p) = 3*p. Calculate g(u(n)).\nAnswer: -273*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 13 = -0*f + 5*f, -3*f = 5*x - 30. Suppose -x*l = -0 - 15. Let g(a) = -4 + 2*a + 3*a - 3*a + l. Calculate g(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10027002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.08 and -37608158980703.\nAnswer: -37608158980703.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746 is divided by 75.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/i**(-10))*(i*i\/i**0*i)\/i*i*i)**48)**(4\/7))**(2\/73) assuming i is positive.\nAnswer: i**(-2304\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207 smaller than 1209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 162, -4, -6, 1, 3, -9997 in descending order.\nAnswer: 162, 3, 1, -4, -6, -9997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-32) - 5346640\/(-128) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**2 - 5*m + 1. Let r be q(4). Let u = r - -199\/3. Which is the third smallest value? (a) u (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-125274)\/(-114) - -2) + 16\/152 is divided by 326.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -8. What is the smallest common multiple of (0 + n)\/(-2 - -1) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, r: 2, i: 2}. Give prob of picking 1 i and 2 o.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*o*x**3 - 10*o*x**2 + 3*o*x + o - 8 wrt x.\nAnswer: 234*o*x - 20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3457231*k*q + 2*k + 145297*q - 14 wrt k?\nAnswer: 3457231*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000110013067 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-2)*2\/(-3). Let x be 2 - 1 - (a - 4). Solve -10 = -x*l + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - m = -16. Let q be m\/20*(-10)\/18. Suppose -13 = -2*f + 1. Sort q, f, 2.\nAnswer: q, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (15 - 23 - 17).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100\/3 + 34. Let i(z) = z**3 - 11*z**2 + 15. Let r be i(11). Is r at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14887907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4166 or 4?\nAnswer: 4166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1391.015 to the nearest ten.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - 3b61?\nAnswer: -3b69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14652 and 115588?\nAnswer: 1040292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 424267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2393?\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 8) to base 14\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -252 - -442. Calculate the highest common factor of 38 and q.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -5. Let z(d) = y - d**2 + 3 + 7*d - 18*d. Calculate the least common multiple of 6 and z(-9).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 169*m + 174*m = -1, -7*m = -2*t - 19 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11417 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 + 96*g**2 - 172*g**2 + 76*g**2.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/9))**(-47) assuming u is positive.\nAnswer: u**(47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -18 - 17. Let t = 5 + k. Calculate the remainder when 35 is divided by (-27)\/t*4\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8639)\/954)\/(-163))\/(2\/6*-1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (-2 + 6 - -2). Suppose i*r - 2 - 18 = 0. Suppose 5*k = -d + 4*k + 48, -2*d + 93 = r*k. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 e when four letters picked without replacement from {t: 5, e: 3, d: 4}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29711941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 13*c**4 - 145*c**3 + 21*c. Let j(w) = 9*w**4 - 97*w**3 + 14*w. Let l(q) = -5*h(q) + 7*j(q). What is the second derivative of l(m) wrt m?\nAnswer: -24*m**2 + 276*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 1:24 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 13. Let t = 288185.0026 + -288214. Let i = g - t. Round i to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 288?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9696331128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.947 + -11. Let y = -0.047 + x. Let q = 1816\/9 - 202. Which is the second smallest value? (a) q (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5556 + -5538. What is the highest common factor of u and 3726?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/82*((-8)\/(-10) - (3360\/(-175))\/(-32))?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 - 2*x - 35. Let f(n) = -12*n**2 + 9*n + 129. What is 17*d(h) + 4*f(h)?\nAnswer: 3*h**2 + 2*h - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3076267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20300141 (base 5) to base 11.\nAnswer: 103520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8454833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 14?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 7*o = 24. Suppose o*f = f + 22. Solve -2*x - y + 3 = -x, -5*x = f*y - 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w - 2. Let f(x) = 154886*x**2. Calculate m(f(g)).\nAnswer: -464658*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zximmxmmmmzx. What is prob of sequence xiz?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q - 14. Give j(6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6203547*s - 4334446?\nAnswer: -6203547","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4722.759 minutes?\nAnswer: 283365540000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-462*a**2 - 4629*a + 4629*a)*(-a + 2*a - 3*a).\nAnswer: -924*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, g: 2, i: 3, f: 1, v: 5}. What is prob of picking 1 g, 1 f, and 2 i?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 241 or 240?\nAnswer: 241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6440 and 98440?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1653451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/7 + 3076*u\/7 + 18384\/7.\nAnswer: 2*(u + 6)*(u + 1532)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 12:26 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -310*o**4*q**2 - 83*o**3*q**2 + 102*o**2 - 41*o*q**2 wrt o?\nAnswer: -7440*o*q**2 - 498*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 - 26 = 12*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 0*z - z - z - 3. Let w(u) = -3*u - 5. Suppose 5*t + 24 = -1. Let m(r) = -r**3 - 133*r**2 - 1454*r - 21. Let j be m(-12). What is j*w(v) + t*h(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5485107?\nAnswer: 3, 311, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bnbtg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -6*g**3 - 14*g**2 + 651*g. Let y = -55 - -27. Let c(z) = z - 1 + 3*z + 5 - 1. Calculate y*c(n) - 3*x(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -469*t + 212. Let p(f) = 94*f - 43. Let u(k) = -2*l(k) - 11*p(k). List the prime factors of u(-2).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.1, -0.05, 7, 512\/63, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 224\/84 - (-8)\/(-3). Solve h = t - 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 25*h**2 - 4*h - 14. Let g(b) = -b + 24. What is the remainder when i(-2) is divided by g(0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 875 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*k*u**2*z + k*u**2 - 22*u**2*z + u**2 + 2*z with respect to k.\nAnswer: 9*u**2*z + u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 13 + 27. Calculate the smallest common multiple of s and 10\/3 + 4\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/4)\/r*((r\/((r\/(r*r**(-3\/4))*r)\/r))\/r)\/r)\/((r\/r**1)\/r)**(-1\/23))\/((r**(-1\/3)*r**(-2\/3))\/(r\/(r*(r\/r**1)\/r)*r*r)**(-11)) assuming r is positive.\nAnswer: r**(-1635\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7433440822+-0.3\nAnswer: -7433440822.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -5 - (-17 + 17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 4, 2\/7, 260\/7, 0, 0.2139?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 132, 280, 494, 780, 1144, 1592, 2130?\nAnswer: 2764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 7:46 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -48. Suppose -3*l - 850 = -y*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46 and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 3)*30 - 1. Let y be q\/58*1*12. Which is the nearest to y? (a) -0.2 (b) -1\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 554559 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - 10129 = -10038 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 37. Let v = 28 + p. Differentiate 0 - 1 + 7*f + 7*f - v*f with respect to f.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5408977694 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 427\/(-122)*(18 + 0). Let u = d + 635. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 8*r - 9. Let l be q(4). Suppose -3*j + 24 + 9 = 0. Suppose j*x = 4*x + 42. Solve l*t = -2*n + 2*t - 24, t + x = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118 divided by -3385\nAnswer: -118\/3385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, c: 2, e: 3}. What is prob of picking 1 e and 1 c?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-3))\/1)\/((13376\/(-288))\/19).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**2 - 87 + 20*u + 3*u**2 + 37 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 - -58. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + f + 2*f - 45 = 0, -3*c - f + 23 = 0. Sort c, 151, 5.\nAnswer: 5, c, 151","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 179*b**2 - 2*b - b**3 + 90*b**2 + 126*b**2 + 107*b**2 to n*b + f + c*b**2 + z*b**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15502, -31001, -46500, -61999?\n\"Answer: -15499*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from umxuuheexxteee. Give prob of picking 1 e, 1 t, and 2 u.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -17, 15, 0, 4.\nAnswer: -17, -5, 0, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2\/5 + 121353*o - 6674778\/5 = 0. What is o?\nAnswer: -202266, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/207 + (-2 - (-201)\/69)*304243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 4*w + 5. Calculate the least common multiple of l(-4) and (5 - 3)*(-3 - -8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*i**2)*(i + 0*i + i) + 9*i - 9*i + 4*i**3 - 2*i**3 - i + i.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.55 take away -0.12?\nAnswer: -14.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -13*j**2 + 0*j**4 + 0 + 13\/60*j**5 + 0*j**3 + 1\/120*j**6 + 0*j. What is the third derivative of b(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, v: 5, y: 1, m: 1, u: 5, c: 4}. Give prob of sequence uvcy.\nAnswer: 5\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -996.66187, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415134509?\nAnswer: 17, 4523, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1382, -2124, -4138, -8060, -14526, -24172, -37634, -55548?\n\"Answer: -106*a**3 - 1276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 - 10*h + 5. Give c(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 67920 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*f**3 - 23*f**3 - 41*f**3)*(-3 + 3 - 2*f).\nAnswer: 94*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j**2 + 3*j + 3. Suppose 24 = -5*l + l + 4*u, -u = 2*l + 24. Let v(b) = 15*b**2 - 10*b - 10. Calculate l*t(w) - 3*v(w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46.3 + 211271340411.\nAnswer: 211271340457.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 414032117 to the power of 1\/2, to the nearest integer?\nAnswer: 20348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = 3*v + 44*m + 98, 5*v + 197 = 3*m for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 1. Let x be y(1). Factor -3 + 6 + a**x + a - 3.\nAnswer: a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z - 52. Let q be p(9). Let u(v) = -q + 92*v - 90*v + 2. Let h(n) = -3*n. What is u(h(w))?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 + 3.01. Which is the second biggest value? (a) 0.6 (b) h (c) 5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -94544300, -94544299, -94544298, -94544297?\n\"Answer: d - 94544301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 55? (a) -1\/2 (b) 0.1 (c) 1\/2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**6\/360 - u**5\/10 + 49*u**4\/24 + 10*u**3\/3 + 21*u**2. Let v(d) be the first derivative of f(d). Is v(7) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*f**3*j**2 - 16*f**3 - 35*f**2*j**2 + 6*f**2*j + 2*f*j + 3*j**2 - 3 wrt j?\nAnswer: -30*f**3 - 70*f**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -132*o**3 - 2*o - 1. What is the remainder when b(-1) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 301997676 divided by 4\nAnswer: 75499419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -49, -54, -59, -64, -69?\n\"Answer: -5*c - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -43*k - 3. Determine y(1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12999171 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0039275 to five dps.\nAnswer: 0.00393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -269230786 to the nearest 1000000.\nAnswer: -269000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 7. Determine r(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-450)\/660 - 1\/(-2). Sort 2\/21, -0.2, a, 2 in decreasing order.\nAnswer: 2, 2\/21, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*35611.\nAnswer: -3561.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*z + 62 - 6, b = 0. Let u = z + -22. Does 21 divide (-122)\/(-3) + u\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1497 = -8*r + 9. Let d = 355 + r. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.039 + -4.961. Put 3\/8, g, -0.1 in decreasing order.\nAnswer: 3\/8, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-4))\/((-162)\/(-4212))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+0.006703\nAnswer: 0.206703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*1)\/sqrt(9) + -5.\nAnswer: -5 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3760 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(19)*2 + 2.\nAnswer: -4*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 14*z**2 - 65*z - 69. Let h be g(19). Calculate the greatest common divisor of h and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 41*n - 48 = 19*n. Solve -4*c + u + 19 = 0, -4*c + 10 = -n*u + 8*u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*r = -3412 + 1696 - 11527 for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 1.67.\nAnswer: 5.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -487378, 0.7, 4?\nAnswer: -487378","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, e: 1, v: 1, a: 2, y: 2}. What is prob of sequence awvy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42625*o - 94972*o + 45412*o to the form y + s*o and give s.\nAnswer: -6935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**7\/5040 - q**6\/720 - 2*q**3 + 13*q**2. Let k(d) be the first derivative of u(d). Factor k(g).\nAnswer: g**2*(g - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -347, -461, -525, -533, -479, -357, -161, 115?\n\"Answer: k**3 + 19*k**2 - 178*k - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -2 + 1\/2*o**2 - 2\/3*o**3 - 23*o. Let h(n) = 2*n. Give -5*h(v) - 3*z(v).\nAnswer: 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.5, -3, 0.16, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 7*p + 7*p**2 + 5*p**2 + 6*p + 4 - 6*p**2.\nAnswer: 6*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20834 = -1629*q - 652*q + 387*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - -1)\/(12\/120). Suppose -5*v = 65 - m. What is the closest to -0.5 in 3, -0.5, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 51\/34*1*2. Suppose -2*h - 11 = -s, -d*h - 7 + 62 = 5*s. What is the smallest common multiple of 10 and s?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31681222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6094, 5569, 5044, 4519, 3994?\n\"Answer: -525*a + 6619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2944 - 26446\/9. Calculate the common denominator of 131\/114 and w.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 30*k - 148. Let o be g(5). What is the third derivative of 7*n**6 - 3*n - 3*n**o + 454*n**3 - 463*n**3 + 0*n wrt n?\nAnswer: 840*n**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 741564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -37*n + 226*n - 97*n - 89*n. Let d(q) = 79*q**2. Give f(d(i)).\nAnswer: 237*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(2 - -1) + -2. Suppose 216 = -d*y + 7*y. Calculate the highest common factor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2296 and 255528.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-1)\/(-4)*2*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxe when three letters picked without replacement from xeoxoe?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12994 = 9303*j - 1648*j + 164876 + 299763 for j.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6) - 640\/(-120). Let f(l) = 9*l - 2. Let x(i) = -26*i + 6. Let m(g) = 11*f(g) + 4*x(g). Let n(y) = 9*y - 3. Give u*m(r) + 3*n(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + 5196 - x**4 - 5195 + 2*x**2 - 8*x**2 + 5*x**3 to the form b*x**4 + y + g*x**3 + d*x**2 + m*x and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - y**2 - y + 22. Suppose 2*l + 24 = 8*l. Let c = l - 4. What are the prime factors of q(c)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*q**4\/3 - 106*q**3\/3 - 14*q**2 + 106*q\/3 + 20\/3 = 0. Calculate q.\nAnswer: -1, -2\/11, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 40 = -q, 3*t = q + 2*q + 48. What is the least common multiple of t and 2272?\nAnswer: 6816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -43, -17, 55, 197, 433, 787, 1283, 1945?\n\"Answer: 4*y**3 - y**2 + y - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-46)\/(-345) + (-56)\/(-30). Solve -17 = -3*x - p*u, -6*u + u = -5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**4\/6 + 7*k**3\/6 + 11*k**2 - 17. Let v(m) = -5*m + 8. Determine -3*v(j) + 4*x(j).\nAnswer: -j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, 21, 1345, -19 in descending order.\nAnswer: 1345, 21, 6, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**2 - 645*m - 1270 = 0. What is m?\nAnswer: -127, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (1 - (-5 + -1))) + -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 16) to base 9\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 6 = -2*v. Suppose -v*z + 6*z = -399. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -497465 != -497465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*n - 35. Suppose 4*f + l - 45 - 31 = 0, 0 = 5*l - 20. Suppose f = 8*t - n*t. Calculate the remainder when 89 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10668, 20485, 30302?\nAnswer: 40119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3 + -2 - 6)\/(3\/(-1686))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 209296 * 20.\nAnswer: 4185920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 380663.\nAnswer: -152265.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d. Let b(q) = 137*q. Give g(b(h)).\nAnswer: 137*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 28 + 1 = -d, -5*l - 61 = -3*d. Suppose r - d = 10. Calculate the least common multiple of r and 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 330032?\nAnswer: 5\/330032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrzzrzxrxru. What is prob of sequence zxx?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3213635779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -74. Suppose c - 5*a = 18, -5*a = -4*c + 2*c + 21. Suppose 5*x = 2*w - 63, -3*w + 105 = w - c*x. What is the highest common divisor of w and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 18*o**2 + 72*o**2.\nAnswer: 92*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 2094*z**2 - 21 + 1126*z**2 - 3220*z**2.\nAnswer: -z**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -725001*u - 7975006. Determine t(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 1310, 0.4, 211.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -4) + 12 + 17 + -25.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.4 + -8.6. Let y be 22\/8 + 2 + 26 + (-32)\/1. What is the smallest value in 3\/4, y, -0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 0)\/(8\/(-264)). Let p = q - -36. What is the second derivative of 3*j + 10*j**p - 5*j**3 + 3*j**3 wrt j?\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2\/3, 1\/9, -13, -0.007?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 387509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/(0 + (-3)\/(-18))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 624*h - 1212. Let c(q) = -7*q - 2. Let l(o) = -a(o) - 2*c(o). Factor l(j).\nAnswer: (j - 608)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*m + 3, -4*m + 5 = m. Suppose -5*c - 5 = -g - 18, -28 = -i*g + 4*c. Let x be (-18)\/g*4\/(-6). Sort -5, x, -1, 2 in increasing order.\nAnswer: -5, -1, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4\/65 + -22\/65. Let z = -10 + 15. Sort -4, i, z in descending order.\nAnswer: z, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 + 2*x**2 + 3*x**2 + (12 - 12 + 5*x)*(-120107 + 1492*x + 120107) to o*x + p + y*x**2 and give y.\nAnswer: 7463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, f: 3, t: 1, i: 9}. Give prob of picking 4 i.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 14*m**2 - 209*m - 48. What is b(-23)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396) - (sqrt(396) - (2*sqrt(396) + 0))) + 1*sqrt(396)*-6 + sqrt(396))**2 - (6*sqrt(121)*-2)\/sqrt(11)*-6)*-3.\nAnswer: -10692 + 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5295 and 331467.\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4702.25, -3, 0.2.\nAnswer: -4702.25, -3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 46. Suppose -d + 275 = z*x + 4*d, 3*d = -4*x + 269. Calculate the remainder when x is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -10*k - 8. Let l be o(-1). Let z be 1 + 5\/10 + (-3)\/l. Suppose -2*t + 8*t - 192 = z. What is the least common multiple of 6 and t?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 467 + -462. Solve 2*v = -3*g - 7, -g - 3*g + t*v = -29 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 2*p**2 + 2. Suppose -2*y = -1 - 19. Let g(l) = -5*l**3 - 11*l**2 - y + 0*l**2 - 1. Calculate -22*b(m) - 4*g(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**7\/14 - n**6\/15 + 57*n**5\/20 + 17*n**4\/12 - 5*n**3\/6 + 11*n**2\/2 - 276*n - 5. What is the third derivative of d(c) wrt c?\nAnswer: 180*c**2 - 48*c + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4823a1 (base 13) to base 6.\nAnswer: -100500524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + (-38)\/42 - 22\/231. Let m(x) = 6*x**3 - 5. Let k(w) = 3*w**3 - 3. Give v*k(d) + 3*m(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.118 + -4.5. Let p = j - 0.05. What is p rounded to 2 dps?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*n - 0*n - 23, n - 5*h - 13 = 0. Let u = 56 - 29. Let k = u + -26.5. What is the second biggest value in -0.2, n, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -576440 or -576429?\nAnswer: -576440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -3010?\nAnswer: 3014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 10*o - 8. Give v(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 4*a**2 + 95*a + 20. Give t(9).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 take away -65302?\nAnswer: 65301.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*d = -5*y + 10, 5*y - 5*d = 0. Suppose -4*l + 45 = y*u, -5*l - 4*u + 40 = -u. Suppose l*i + 0*i = 50. 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: Suppose 0*r + 2*r - 561 = -c, 0 = 4*c - 4*r - 2304. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -13 - 1) + (13 - 10). Suppose -17*z + 138 = -g*z. Suppose 109 = -z*q + 70*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m**2. Let f(c) = -829*c. Calculate f(v(u)).\nAnswer: -4974*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 574 a factor of 6776070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.83 - -0.17. Let r = 0.1277 + -0.1377. Which is smaller: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-67860)\/406)\/(-30)*1*-7.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 6*b**2 + 2*b - 7. Let r be z(6). Let f(t) = 2 - 7 - 2 + r*t + 0. Is f(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/7 + 4*u - 6528\/7.\nAnswer: (u - 68)*(u + 96)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18)\/7)\/(5\/(-175)*5) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 11. Let h = p + 54. Let z = -6 + h. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2000272?\nAnswer: 2, 125017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-15) - (-17)\/765. Let k be 3 + 0 + 0\/1. Which is the nearest to 1? (a) u (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*u - 18. Is u - (-88 + -1 + 3) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 17*a**2\/2 + 1. Let j(n) = 4*n. Let p be 2 - 3 - 1\/(-2)*-2. Let t(o) = 13*o. Let r(w) = p*t(w) + 7*j(w). Determine s(r(c)).\nAnswer: 34*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35.1 + -6.1. Let j = y + -41.7. Let k = j - -11. Round k to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 10*k - 186. Give s(34).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 332 = 7*v. Let i = -190 + v. What are the prime factors of i?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -18*f + 21. What is m(0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xexrxexxyxrxx. Give prob of picking 2 r and 1 y.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1214.67 times -6?\nAnswer: 7288.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13354622 (base 9) in base 6?\nAnswer: 353132202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**4*t**2 + 8204*c**3*t**2 + c**3 + 628*c**2*t + 5*t**2 wrt c.\nAnswer: 48*c*t**2 + 49224*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 + 43*c**2 + 6*c + 348. Determine y(22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = k - 171. Let i be ((-1)\/2)\/(k\/(-12)). Which is the biggest value? (a) 1\/3 (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**3\/3 + 2*d**2 + 2*d - 2. Let p be h(4). Let -2\/7*m**3 - 2\/7*m**p + 0 + 2\/7*m**4 + 2\/7*m = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -0.8. Let x be (80\/(-182))\/(-1) + (-78)\/273. What is the nearest to v in -3, -0.6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u = -6551 - 5984. Let n = -543 + u. Suppose y - 10 = -4*a + 3*y, y - 13 = -4*a. Solve 0 = a*b + n - 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000485972 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -119, 11\/4, -4, -7?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2042, 2088, 2178, 2324, 2538, 2832, 3218, 3708?\nAnswer: 4314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -86563643*w**4 + 42079*w**2 + 17*w + 24.\nAnswer: -2077527432*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 3 = -4*g, 0*g + 3*g - 7 = -x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 5, l: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -1535?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3523270 (base 8) in base 3?\nAnswer: 1210210010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -8, 5\/4, -1\/2 in descending order.\nAnswer: 5\/4, 4\/9, -1\/2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 12*u**2 + 13*u - 20. Let f = 7 - 17. Let z be c(f). What are the prime factors of (z\/(-4))\/(3\/(-18))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 1)*(63*l + 558*l - 237*l)*(3 - 2*l**2 - 3) to g*l + v*l**2 + d*l**3 + q and give d.\nAnswer: 1536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 541545 and 525.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 5\/167102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7460 and 24.\nAnswer: 44760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -105, 3, 192 in increasing order.\nAnswer: -105, 3, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 195541283 a multiple of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 - 90732659.\nAnswer: -90732645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppf when four letters picked without replacement from {q: 4, p: 8, f: 4}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 199c9 (base 13) in base 12?\nAnswer: 24b44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-70))\/((-4)\/(-5)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148455 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 6 + 2\/3*g**3 + 0*g + 0*g**2. Let o(m) = -m**2. Calculate o(f(y)).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + 213?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 60\/(-9) - 6\/(-9). Let k be (-51)\/(-9) + 4\/u. Let b be (0\/(2 + -3))\/(22 + -25). Solve b = -k*w - 8 - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1288 - 170*x**2 - 648 - 641)*(24 - 3*x - 24).\nAnswer: 510*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34427316107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6*m - v = -23, 19 = -5*m + 3*v. Let n(t) = -935*t**3 - 10*t - 1195*t**3 - 7*t**2 + t**3. Let u be n(m). Round u to the nearest ten thousand.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/28)\/(34\/119). Which is the second biggest value? (a) v (b) 1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -422 bigger than -841\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (-94 + 87 - (-2 - 1 - 5))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 1, -1.764176?\nAnswer: -1.764176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2969333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*p = 42, b = 3*p - 2 + 26. Let i be (-1)\/2*(3 + -3). Solve o - b*o = i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 7*f**2 - 6 + 2*f**2 - 2*f**2 + f**2 + (f - 1 + 1)*(2*f + 1 - 1).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -110 + (-185 - -296) + (0 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d = -5. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1287 * -12978.\nAnswer: 16702686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -11*v + 6*v. Suppose 0 = -5*g - n + 17, -4 = v*g + 3*n - 3. Suppose t = 5*t - g*m, 5*t + m = -6. Put t, -4, 0 in descending order.\nAnswer: 0, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - (-8)\/(13 + -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**2 - 2*m + 1. Let k be f(1). Let p(g) = g - 3. Let s(w) = -3*w + 12. Let z(n) = k*s(n) + 15*p(n). Let c = -7 - -3. Determine z(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -373280311, -373280314, -373280317, -373280320?\nAnswer: -373280323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 7 + 3*b + (2 + 0 - 3)*(-4 + 4 + b) + 21*b - 23*b - 13*b - 3.\nAnswer: -13*b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5296065 a multiple of 386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**5 - 19528*p**4\/7 + 688528*p**3\/7 + 1015048*p**2\/7 + 43860*p = 0. Calculate p.\nAnswer: -731, -1, -3\/7, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 825*l - 823*l - 10 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 7*w - 11. Let q be a(-5). Let h(p) = 10*p**2 + 3*p + 1 - 5*p - 2. List the prime factors of h(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from {m: 1, z: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b824 (base 15) to base 13.\nAnswer: -85b9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8751 divided by -2917\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 151141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -250 + 196. Let n be (156\/z - -3)\/((-7)\/6). Let k = -0.06 + -0.34. Sort n, 2, k, 1 in ascending order.\nAnswer: k, n, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 + 34*b**2 - 12*b - 74. Let j be c(17). Put -5, j, 2\/13 in increasing order.\nAnswer: j, -5, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -29115*m. Let u(v) = -5*v. Give k(u(f)).\nAnswer: 145575*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 9:21 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btb when three letters picked without replacement from {t: 9, b: 3}?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59.3 + -73.3. Is 0 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 6.7 (b) -4 (c) -79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 200 (base 3) to base 7\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**5 + 17*d**4 - 13*d**4 - 5*d**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 4) to base 5\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*a = 123*a - 1229760. Calculate the greatest common divisor of 288 and a.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - a + 2*a)*(22*a**2 - 17*a**2 - 13*a**2 + 1).\nAnswer: -40*a**3 + 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 128*p**2 + 126*p**2 - 247*p**2. Let b(n) = n**2 - 47*n. Calculate c(b(m)).\nAnswer: 7*m**4 - 658*m**3 + 15463*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5841 is divided by 208.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(-513)*(36 + (-24)\/(-16)).\nAnswer: 25\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hi when two letters picked without replacement from {m: 3, i: 1, w: 2, t: 6, h: 1}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*x**2 - 18*x**2 - 3*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 1 - (-2 - (-5 + -4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -1\/20*l**5 - 1\/2*l**2 - 6*l + 1\/2*l**3 + 0 + 1\/6*l**4. Let t(u) = u - 5. Let b be t(7). Determine c(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 906 - 40. Let w = s + -840.86. Let a = -25 + w. Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - s + 9 - 30.\nAnswer: -s - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -775 - -478. Let c = 62 - o. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (1 - 8) + (-55 - -66).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*h - 11*h - 12*h**3 + (-4 + 4 - 2*h)*(h**2 + 0*h**2 + 0*h**2))*(-5 - 1 - 19).\nAnswer: 350*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a decade in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 153, 310, 471, 642, 829, 1038?\n\"Answer: v**3 - 4*v**2 + 162*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 5 = -2*f, 7*f - 3*f + 3 = 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 16. What is the remainder when 31 is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -2*x - 3*v, -11*v + 58 - 270 = 6*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 69 = -5*i, -4*m = -0*m - i - 75. Let w be 134\/m - 16\/36. Solve 2*z - 2*b - 7 = w*z, -4*z = 4*b + 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 4:09 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/9*84\/4508*7.\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5454184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86513 is divided by 1232?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 23, -381 in descending order.\nAnswer: 64, 23, -381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*y + 20. Let j(l) be the second derivative of l**3\/6 + 15*l**2\/2 + 5*l. Let k be j(y). Solve 10 = k*r - r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000001110110 (base 2) in base 12?\nAnswer: -2532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1029) + sqrt(1029) - 5*sqrt(21)*2)\/((sqrt(132)*3)\/(3*sqrt(176))).\nAnswer: -34*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(50\/265)*-15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89654 + -17.044.\nAnswer: -89671.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**3\/5 + 1401*r**2\/5 + 2806*r\/5 = 0.\nAnswer: -2, 0, 1403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2\/7, -0.3, -0.2, -1, 38 in ascending order.\nAnswer: -1, -0.3, -0.2, 2\/7, 0.5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (-26 - 8 - -53).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/2 - 0\/4. Let w(z) = 6*z - z**2 - 6*z + b. What is the units digit of w(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*i - 3972, 0*h + 5*i + 2963 = 3*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -294190*v + 443444 wrt v.\nAnswer: -294190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2610, -2581, -2532, -2463, -2374?\nAnswer: -2265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*x + 5*v = -21, -5*x + 5*v = -35. Let c be (4\/(-6))\/(x\/(-6)). List the prime factors of 61\/9 - c\/(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 4 = 5*i. Let u(a) = -5*a**2 + 4*a - 4. Let h be u(i). Put 2, -3, h in increasing order.\nAnswer: h, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/30 + 138\/5. Suppose 0 = g*y - 21*y - 42. Suppose -y*h - 4*c - 2 = -5*h, -h = -3*c - 5. What is the highest common divisor of 22 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 20 = -b, 2*b - 28 = 3*t - 8*t. Let z = -5 + b. Which is bigger: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 828166 * -1435\nAnswer: -1188418210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(252)*-1)\/(sqrt(7) - (sqrt(1008) + 1*sqrt(1008))))\/(-2*sqrt(972)*-6 + -6*(sqrt(972) + sqrt(972)*-2)).\nAnswer: sqrt(3)\/1242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7521 or 7512?\nAnswer: 7521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3136972578?\nAnswer: 2, 3, 503, 1039421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -6*d + 144. What is the smallest common multiple of 21 and d?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 1. Suppose -2*p - 4*l - 16 = -48, s*l = -4*p + 64. Suppose 34 = 5*v - p. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1491852 and 21939.\nAnswer: 1491852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(-3))\/d)**(-35)*(d**3)**(-1\/27))**(-1))**(-17) assuming d is positive.\nAnswer: d**(16048\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6116, -24394, -54866, -97538, -152416, -219506, -298814?\n\"Answer: -a**3 - 6091*a**2 + 2*a - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l**(1\/3)*l)))**(3\/20) assuming l is positive.\nAnswer: l**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001011100100001 + 100?\nAnswer: 11001011100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 24 = -2*a. Suppose -2*g - 4*j + 52 = 0, 3*g - 5*j + 0*j - 100 = 0. What is the remainder when g is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -252 divided by -2611\nAnswer: 36\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + ((sqrt(1900) + -2 + sqrt(1900))*-6 + 2)*-5)**2 + 5 + -4.\nAnswer: -90000*sqrt(19) + 6845625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 1:56 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2857003 is divided by 3092.\nAnswer: 3087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 617873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 0*t**2 + 2*t**2 + 0*t**2. Let u(d) = -d**2 + 2*d. Let q be u(3). Let g(y) = 1. Let z(i) = -i**2 - 3. Let m(v) = q*g(v) - z(v). Give m(x(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**3 + 3*j**2 - 2*j + 2. Suppose 171*w - 12 = 165*w. Let c(d) = 4*d**3 + 3*d**2 - 3*d + 3. Let v(t) = t - 15. Let h be v(12). Give h*g(z) + w*c(z).\nAnswer: -z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*i - 1 + (2 + 1 - 5)*(3*i - 3*i + i) + 4*i + 3*i - 4*i - 2*i + 3*i + 0*i - i + 0*i + 4*i)*(i + 4*i - 4*i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3+-48364862986501\nAnswer: -48364862986498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*o + 4335 = -111*o - 858 - 9749 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/2 and 5075\/(-2340) + ((-24)\/27)\/(-8).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -706304*a + 548987?\nAnswer: -706304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**4)\/u**(-1) assuming u is positive.\nAnswer: u**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35293263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 62002*j**2*l**2 - 55870*j**2 + 9*j*l**2 + 18*j + 11*l**2 - 9 wrt l.\nAnswer: 124004*j**2*l + 18*j*l + 22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*g - 8*g - 833. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m + 2. Let y(t) = t + 2. Let v be y(0). Let g be k(v). What is the units digit of (1\/(-5))\/(2\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32517 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.7 + 5.66. What is the closest to -0.8 in -4\/3, z, 2\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7436858*g**3 - 17255*g**2 - 2*g + 226 wrt g.\nAnswer: 44621148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -0.3 (b) 48 (c) -166 (d) 69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*j**(-3\/5)\/j))\/j)\/j)\/(j\/j**(-2))*j*j*j**(1\/2)*j*j**(1\/2))\/((j**(-4)\/((j*j*j\/(j\/(j\/(j**2\/j))))\/j))\/(j**(-1)\/j**6)) assuming j is positive.\nAnswer: j**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -12*p - 320. Give f(-26).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.492 - 5.4. Let b = t + -0.091931. What is b rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -2*v**2 + 2*v - 1. Let s(d) = -2*d - 3. Let l be s(0). Calculate the remainder when 26 is divided by n(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - s + 0*s = -133, -2*v + 3*s = -129. Suppose -5*d + 1 = -5*f - 4, f - 5 = 0. Calculate the greatest common factor of v and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100340 (base 5) in base 6?\nAnswer: -22524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3206994 by 3.\nAnswer: 1068998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -858b (base 15) to base 13.\nAnswer: -cb27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1001*o + 1078*o - 1232 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*f + 419*f = 987 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1503 or 1504?\nAnswer: 1504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1104 - 814. Calculate the smallest common multiple of 319 and s.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*a**3*g - 172*a**3 - 77*a**2*g**4 + a**2*g + 2*a wrt g.\nAnswer: -6*a**3 - 308*a**2*g**3 + a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.2 + -6. Let b = 27 - 32. What is the nearest to -0.1 in b, c, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-1 - 0) + -13 + -5. Let d(f) = -5*f - 24. What is the tens digit of d(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -828000 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5098 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -129.4 - -153. Let v = -26 + w. What is v rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-4)*44\/55?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 3, 25, 5.\nAnswer: 3, 5, 11, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.35468 centuries to years.\nAnswer: 7535.468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9801 + 9801.2. Let d = 1.8 + 1.2. What is the biggest value in m, -21, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + -33 + -2 + -17?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + -4 + 2 + -2 + -3. Suppose -3*z + 2*s = -x*z - 6, -2*z - s + 11 = 0. Solve -3 = z*v - 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 476\/(-5) - 6\/30. Calculate the common denominator of 2 - (2300\/n)\/5 and 2550\/(-240)*(-9)\/30.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1734 is divided by 141.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -71?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 107207\/3 (b) 2 (c) -3\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -133132.\nAnswer: -133128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 8*i**2 - 19*i + 5. Let v(c) = c**2 - 20*c. Let t(r) = -q(r) + v(r). Let p(w) = -29*w**2 - 5*w - 20. What is 2*p(n) - 9*t(n)?\nAnswer: 5*n**2 - n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*a - 915 = 422*a + 164 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 5:34 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*l + q + 282, 146 = 2*l - 2*q. Let v be (-8)\/(-6)*12\/8. Suppose -5*h = -0*h - v*r - 102, -4*h + 5*r = -l. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -80b + 38076?\nAnswer: 37669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 45267 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.3 + 1.3. Let z = 8533 - 8537. Which is the nearest to -6? (a) z (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uy when two letters picked without replacement from {x: 1, v: 1, t: 4, u: 3, y: 1, l: 2}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -r + z + 15, -32*r - 41*z + 59 = -31*r for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b - 3 + 9*b**4 + 2*b + 3*b + 513*b**2 - 512*b**2 as z + a*b**2 + u*b + v*b**4 + n*b**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/30940 and 47\/175.\nAnswer: 154700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1243, 0, 3, -1 in descending order.\nAnswer: 3, 0, -1, -6, -1243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 50960 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2688) + sqrt(2688) + sqrt(42))\/sqrt(6).\nAnswer: 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - -6)*((-21)\/(-6) - 3). Suppose 11*v = 6*v - q, 3*v - 4*q = z. Suppose v = 2*l + 2*r - 156, -3*l = -0*l + 2*r - 233. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*j - 22 + 22)*(644 + 75*j - 644) as m*j**2 + n + z*j and give m.\nAnswer: 825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -184.4 rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -15. Let s = 377 - 377.2. Is s not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - s**2 + s + 1. Let v(f) = 6*f**3 + 3*f**2 - 21*f - 3. Let g(y) = 3*h(y) + v(y). Find the second derivative of g(z) wrt z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1826453*c*m**2 - 666359*c*m - c + m**2 wrt m.\nAnswer: -3652906*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 224 = -2*p. Does 13 divide ((-2)\/(-4))\/(1\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-3081\nAnswer: -1232.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y + 8. Let i be k(6). Suppose -c - c + i = 0. Suppose -2*b = 4, -4*t - b - 2 = 4*b. What is the lowest common multiple of c and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-27)*9 - 21\/(-2). Let h(m) be the first derivative of -n*m**2 + 0*m + 4 + 20\/3*m**3. Let q(w) = -7*w**2 + 8*w. Give -6*h(g) - 17*q(g).\nAnswer: -g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -244936262 divided by -3307?\nAnswer: 74066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 15*u**5 + 3*u + 285\/4*u**4 + 321\/4*u**3 - 57\/2*u**2 - 147. Factor p(m).\nAnswer: 3*(m + 2)**2*(10*m - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-4*sqrt(99) + sqrt(99))*6*6)\/(sqrt(576)*-3*3) + 3)**2.\nAnswer: -675\/4 - 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1580249 and 5.\nAnswer: -7901245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25516710647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127*g**5 + 9373*g**2 + 1739630*g.\nAnswer: -2540*g**3 + 18746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s - 3. Calculate the lowest common multiple of m(-3) and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1121342485 to the nearest integer?\nAnswer: 33486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*((-5 + 4 + (-3 + sqrt(80) + 0 - 4*(sqrt(80) + (sqrt(80) - (0 + sqrt(80))) - sqrt(80))))**2 + -4).\nAnswer: -3312 + 1152*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + t - 88 = -0*f, -22 = f - 3*t. Let d = f + -8. Let o = d - -45. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5))**(16\/5)\/(k**(5\/6)*k*k**8) assuming k is positive.\nAnswer: k**(-1283\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3360 is divided by 84?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 994*p - 1113*p - 836*p.\nAnswer: -955*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 6 = -2*v, 3 + 9 = -3*a + 4*v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 73 = 17. Solve 4*r - 2*p + 22 = 0, 3*r - 2*p = -p - g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -322848 (base 9) to base 8\nAnswer: -567643","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k. Let o(l) = 0*l - l + 9*l. Let z(t) = 4*t. Let p(w) = w**2 + 8*w + 7. Let s be p(-8). Let q(y) = s*z(y) - 4*o(y). What is q(u(i))?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 217239, 434467, 651705, 868959, 1086235, 1303539, 1520877, 1738255?\n\"Answer: r**3 - r**2 + 217224*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32047 - 1136*c**5 + 1213*c - 32047 wrt c?\nAnswer: -22720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**4 - 35*y**3 - 6 - 273167*y - 6*y**2 + 273167*y + 5 as k*y**2 + q*y**3 + r*y**4 + h*y + f and give q.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 4*p**2 - 3*p + 4. Let b(g) = -3*g**3 + 11*g**2 + 8*g - 11. Let o(x) = 4*b(x) + 11*d(x). What is the second derivative of o(a) wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 19 + 5. Let o be (y\/1)\/(9\/6). Suppose 4*z = -0 + o. Let v(t) = 4*t**3 - t**2 + 1. Calculate v(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jljl when four letters picked without replacement from {j: 3, l: 15}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 14, j: 1}. Give prob of sequence jq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2941 - 325 = -78*k - 12*k + 1144 for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/15 (b) 1.18 (c) 379\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-970)\/97*(-2)\/(-10)*2. What is the hundreds digit of (404 - -17) + (-4)\/(w\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670757 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 1010101101100010110010?\nAnswer: -1010101101100010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q. Let v(t) be the second derivative of t**4\/4 + 6*t + 1. Give v(b(o)).\nAnswer: 108*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/132466880 and -2\/585.\nAnswer: 1192201920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10624?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 4)*(-3 + 5 - 1)*(-3*d**4 + d - d + (-2*d**2 + 6 - 6)*(-2*d**2 + 0*d**2 + 4*d**2)).\nAnswer: 21*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/7770 and -79\/369408?\nAnswer: 12929280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g + 9 - 25. Suppose -3*p - 4*q + 21 = 0, 2*q - g - 10 = -2*p. What is the lowest common multiple of p and 304?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37363 is divided by 1697?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + ((sqrt(204) - (sqrt(204)*-4 + sqrt(204)) - sqrt(204))*-4)\/(sqrt(84)\/(sqrt(70)\/sqrt(10))))*5)**2*-1.\nAnswer: -61200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -299*l - 1 + 289*l - 7 in the form p*l + o and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 1. Let u(s) = -4*s**3 + 2*s + 29. Let z(r) = r**2 - 7*r + 5. Let q be z(7). Let b(m) = q*o(m) - u(m). What is the first derivative of b(i) wrt i?\nAnswer: 12*i**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109 by 276.\nAnswer: -109\/276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(126)\/sqrt(3) - (sqrt(42) + -5*sqrt(126)\/sqrt(3)))\/(((sqrt(216) + sqrt(216)*1 + sqrt(216))\/sqrt(12))\/((sqrt(132)\/sqrt(4))\/sqrt(11))).\nAnswer: 7*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 w when two letters picked without replacement from ttwfhhwrhwh?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 5*n + 15 + 12, 0 = n + 5. Suppose -r*j = -j - 941. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q)**9*(q\/q**(1\/2))**(-3\/10) assuming q is positive.\nAnswer: q**(357\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 + 5*r + 3. Let i be s(-3). Let x = i - 11. Let p(d) = -d**2 + d - 6 - 2*d + 5*d. Determine p(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 247. Let f = -2 + 2. Let i be x(f). Is (-6)\/(-9) - i\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12682 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5656*l + 3242*l - 7806*l)*(-2 + 3 + 0)*(-2*l - 2*l**2 + 2*l) as d*l + p*l**2 + i + k*l**3 and give k.\nAnswer: 20440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5880.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*n - 5*s - 354 = 66*n, 0 = 4*n + 4*s - 408. Calculate the least common multiple of 297 and n.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 249048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2537 + 2537 - 1991*t**2 to q*t + d*t**2 + r and give d.\nAnswer: -1991","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(6\/18*-9). Let k(x) = -197*x + 5. What is the remainder when k(l) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*k - 2, -51 = -5*q - k - 16. Let i be 4\/(-6)*(-2 - 1). Suppose i*c - 128 = q*c. What is c rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**3 - 14*l - 18. Let i(m) = m**3 + 7*m + 9. Let n(u) = -5*i(u) - 2*j(u). Let r(x) be the first derivative of n(x). Is r(-3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -2\/3*t**3 - 1\/4*t**4 - t - 1 - 1\/2*t**2. Give z(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (792\/462)\/((4\/(-7))\/(-2)) and 558.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 6:22 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -5*s - 3*p, -3*s = -13*p - 514 + 680 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1336 = -52*v + 1520 - 2440 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2. Let s = 1 - g. Let w be 3\/3 - (-2)\/s. Solve -w*c + 0*c - 9 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*c + 8. Let v = 4 - c. Solve 3*m - m - 8 = v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 2*t + t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7287*a**4 - 7545 wrt a?\nAnswer: -29148*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/((-14)\/42*(3 + -2)). Solve 3*y - 5 = c - 0, i = -5*c + 5*y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56522677 is divided by 1448.\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/15))\/(w*w**7)*w*(w*w*w**1)\/w*w**(-3\/5)\/w assuming w is positive.\nAnswer: w**(-82\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from tttutttutuuuu?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -2*r - 3*m, -3*m = r - 0*m - 24. What is the lowest common multiple of 3\/2 - (-2)\/4 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*d + 33. Suppose d = 2*j + 13. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112, 4, 0, 1, -1, 5, 53 in decreasing order.\nAnswer: 112, 53, 5, 4, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 267 + 0 = 3*g, 0 = 5*q - 4*g - 472. Suppose -q*x = -97*x + 280. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/1265 + ((-123)\/(-9))\/(74 - 5)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 5*n - 24, n - 1180*d + 1179*d = -16 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**5\/100 + g**4\/40 + g**3\/5 + 6*g**2. Find m such that s(m) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/5*1)\/((-13)\/65)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 198*t = -21*t + 1272 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162280.\nAnswer: 2, 5, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1382586919 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*b*n - 13*b - 46*n - 16 with respect to n.\nAnswer: 10*b - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -8*w**2 + 28*w + 21. Let m(z) = 95*z**2 - 335*z - 255. Let p(d) = -35*b(d) - 3*m(d). Find j such that p(j) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrr when three letters picked without replacement from nnnnnnnnnnnnnnnnrr?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (0 + sqrt(448) - (sqrt(168) - sqrt(168)*1)\/sqrt(6)) + 6*-1*sqrt(1792) + sqrt(1792) + 4)**2.\nAnswer: -1008*sqrt(7) + 36337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 + 71. Let j(v) = 2*v**2 + 4*v - 10*v**3 - 12*v**l - 13*v**3 + 2 + 38*v**3. Let w be j(-3). Is -74 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -75*h**2*p**2 - h**2 + 3*h*p**2 - h*p - 154 wrt p?\nAnswer: -150*h**2*p + 6*h*p - h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 82 = -46. Suppose -11 - o = -m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/4)\/((-3)\/(-24)). Suppose 0 = 3*z - 3*r - 24, -4*z + 33 = k*r - 5*r. Let o = 13 - z. Solve 3*s - o*s = -4*n + 19, 2*s + n = 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**2 + 16 - 2 - 3*f**2 + 2*f**2.\nAnswer: -7*f**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 194188163*o**2 - 303081368*o wrt o.\nAnswer: 388376326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**3 - 161*m**2 + 42*m**2 + 4*m**3.\nAnswer: -2*m**3 - 119*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2058 and 2667.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3255*a*k**4*o + 3*a*k**2*o + 2*a*k*o + a*k + 4*a + k**3*o + 19*k*o wrt k.\nAnswer: 78120*a*k*o + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*m - 17*m + 210. Solve 14 = -3*g - f, 5*g + m = 4*f + f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 21 = 2*g, 23464 = -2*u + g + 23467 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**4 + 3*c**4 - 3*c**4 + 38*c**4 + 43*c**4 - 13*c**4 + (-2*c - 3 + 3)*(c**2 + 2*c**3 - c**2) + 4*c**2 - 4*c**2 - 2*c**4)*(-2*c + 3*c + 2*c).\nAnswer: 189*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4217526 and 5031?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2904858\/511 or -5685?\nAnswer: -5685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133143 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*18\/(-96)*((-32)\/2852)\/(-2). Is b greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z - 6. Let j be w(-8). Let u be 4*-2*(-1)\/j. What is the closest to 0.2 in -4, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.75 - 5. Let y = 13.75 - b. Let l = y - 13.56. Round l to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/35*2*(-77)\/(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220314 (base 7) to base 10.\nAnswer: 38574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85176611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 12) to base 4.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*22\/6 - (-6)\/9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57060921569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 295182, 295142, 295108, 295080, 295058, 295042, 295032?\n\"Answer: 3*z**2 - 49*z + 295228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 40 = a - 27, 0 = -4*g - 4*a + 100. Let i = 112479 + -112475. Put g, 2, i in descending order.\nAnswer: g, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 4)*(3*j - j - j)*(-30 + 22 - 19).\nAnswer: 135*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16074374*c + 16074374*c - 26*c**3.\nAnswer: -26*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -14*o**3 - 29*o**2 - 27*o + 2. What is j(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01592405 rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -64 (b) -2\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 78 + -811820?\nAnswer: -811731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 + 5*n - 4. Suppose g - 5*s - 164 = 0, -2*g - s + 25 + 292 = 0. Let l = g - 163. What is a(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 451 + 322. List the prime factors of a.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, -0.2, -2, 14 in increasing order.\nAnswer: -4, -2, -0.2, 8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21082 is divided by 2108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37115.93 litres?\nAnswer: 37115930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -197076729 less than 416?\nAnswer: 197077145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.65156 to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35742 - 35716. What is the second smallest value in 4, w, 15.5?\nAnswer: 15.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -129*(6\/(-21))\/(6\/(-7)). Let w = r + 141. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -883.6 - -883. Which is the third smallest value? (a) -83 (b) 1\/3 (c) x (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 61627202*o**2 - 472545528*o + 905847048 = 0. What is o?\nAnswer: 21282\/5551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -138.57 * -0.09113\nAnswer: 12.6278841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -175194*c**4*d - 47*c**2 + 2*c*d - 5103146*c - d wrt c.\nAnswer: -2102328*c**2*d - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6577370 is divided by 964?\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 j, and 2 g when four letters picked without replacement from ggqvjggm.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 15\/10)*12\/(-10). Let z(i) = i**2 - 4*i + 1. Let v be z(5). Let r(y) = -y - v*y + k*y. Let h(p) = -p**2. What is r(h(t))?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1\/5 (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**2 + 11*s - 260. Let i(n) = 11*n**2 + 24*n - 518. What is 6*i(u) - 13*k(u)?\nAnswer: u**2 + u + 272","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.086 - 39.914. Let x = i + 40.15. Let s = 0.14983 - x. Round s to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -11*m**4\/24 + m**3\/6 + 10*m**2. What is the lowest common multiple of 9 and w(-2)?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 95.52721km?\nAnswer: 95527210000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 527 - 515. Solve 2 = -2*u - 2*l - r, 0 = -u - 5*l - 23 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4740*a - 88198. What is u(18)?\nAnswer: -2878","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*f**4 + 19*f**4 + 11*f**4 + (-1 - 3*f + 1)*(-f + f - f**3) + f**4 - 2*f**4 + 2*f**4.\nAnswer: 25*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -57*b**2 - 518*b - 41. Let h be y(-9). Solve 0 = -5*t - 15, -2*j + 2*t - 2 = h*t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 369*v + 366*v = -20, -20*o + 4*v - 80 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -g + 6*g + 8, g = 4*j - 13. Find the first derivative of 2*a**4 + 0 + j - 15*a**4 wrt a.\nAnswer: -52*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*11\/(-297))\/((-108)\/72)*-21?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14632 divided by -574\nAnswer: 7316\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*x + 70*x + 1161 = 0. Suppose -x = 134*w - 137*w. What is the remainder when w is divided by 67?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13602380 a multiple of 374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*b = -15. Suppose 8*x = 4*x. Let r = x + 6. Solve 12 = b*t - k - r, -3 = k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6450 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/((sqrt(196) + (sqrt(196)*-2 - sqrt(196)) - sqrt(196)) + sqrt(196)).\nAnswer: -sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 659 = 4*t - 1267, d - 128 = 5*t. Calculate the greatest common factor of d and 56.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 15, 4, -1, -2 in decreasing order.\nAnswer: 15, 4, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**4\/6 - l**3\/2 - l**2 - 2*l. Let c be i(-2). Let m be (c\/(-6))\/(10\/(-6)). Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16185 (base 12) to base 14\nAnswer: -b5d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y + 17*y - 10*v + 142 = 0, y - 5*y + 3*v = -207 for y.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 157 + -157 - (-13 - 1) - 6 - 76\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/(-12)*8\/(-6). Suppose x = -g*n + 3*x + 3452, -3*n - 2*x = -2603. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1023, -2, 7, 1, 4 in ascending order.\nAnswer: -2, 1, 3, 4, 7, 1023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -0.06 (c) -1\/2 (d) 2\/7 (e) -103 (f) -1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -6*r - 34. Let a(m) = m**2 + 9*m + 4. Let s be a(r). Let c(v) = v**2 - 4*v + 1. Give c(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 18849, 5.\nAnswer: 2\/7, 5, 18849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14357204 and 87?\nAnswer: 43071612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2321351590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95.4 + 95.5. What is the third smallest value in h, 3\/5, -2.8, -2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24 - a4800?\nAnswer: -a4824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 29*c**2 - 2*c + 6. Let f be q(5). Is (1\/((-1)\/f*1))\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**3 - 2*y**2 + 2*y**3 + 0*y**2 - 2*y**3 + y**3 + 2*y**3 + (y - 5*y + 5*y)*(-y**2 + y**2 + 2*y**2).\nAnswer: -y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = -i. Factor -i*r**4 + 2*r + 37*r**3 - 3 - 25*r**3 - 18*r**2 + 10*r.\nAnswer: -3*(r - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 40678?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -2, 4, 5, 2030 in increasing order.\nAnswer: -2, 4, 5, 10, 2030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eef when three letters picked without replacement from {b: 2, e: 2, f: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00158011 rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 3*l + 5*l)*((-4 + 1 + 1)*(-5*l + 0*l + 3*l) - 3*l + 2*l + 3*l) + (1 - 2*l - 1)*(-1 - 2*l + 1).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*m - 3, 3*m + l - 3*l + 2 = 0. Let d(s) = -s**3 - s**2 - s + 9. What is the remainder when 34 is divided by d(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-45)*(-18)\/(-4). Let o = 519.442 - 519.442. Which is the third biggest value? (a) 14 (b) -4 (c) p (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15862623 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*a**3*c**3*t**2 + 3*a**3*c**3*t + 90*a**3*c**2*t**2 + a*c**3 - 11*a + 2*c**3*t + 5*c*t wrt t?\nAnswer: 10*a**3*c**3 + 180*a**3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from voztdooevvvo. What is prob of sequence odt?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5420*m + 32 = -5419*m + f, -5*f - 120 = -5*m for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16978069?\nAnswer: 61, 278329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -31) + 7 + -24 - (3 - 34 - 2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2972.8529 to zero dps.\nAnswer: -2973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 21320300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4914, 9831, 14748?\n\"Answer: 4917*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/(-9*(-56)\/(-44100))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8668099 meters in centimeters?\nAnswer: 86.68099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qaaqaaaaaaaaa. What is prob of picking 2 q?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -247 + 378. Let x = h - 131.107. Let j = 1.903 - x. Round j to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2729959.79891 + 2729942. Let q = k - -17.8. What is q rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3426579?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, -80, 5, 2, -4 in ascending order.\nAnswer: -80, -9, -4, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 566932 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3758360 or -3758362?\nAnswer: -3758360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 3*a = 7*r + 22, 0 = 4*r - a + 24 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24026 + -6174. Suppose 0 = 5*q + a - 4567. Let i = 21173\/8 + q. What is the common denominator of 81\/14 and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m + 70 = -22 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -289426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 26005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 4\/7, 10\/7, 0.6, -39, -21 in decreasing order.\nAnswer: 10\/7, 0.6, 4\/7, 0.5, -21, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k - 51 = -63 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s. Calculate the lowest common multiple of (13 - -2)*(-184)\/(-138) and i(3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, t: 1, d: 1, q: 5}. Give prob of sequence deq.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.009 + 3.009. Sort l, 0.5, 2, 0.1 in ascending order.\nAnswer: 0.1, 0.5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125775585737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5613677 is divided by 164?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k = 0. Suppose -18*i - 2 = -2*c - 15*i, 2*i = c - 2. Sort k, -0.02, c, -3 in descending order.\nAnswer: k, -0.02, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170666.\nAnswer: 2, 85333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -220 - -220. Which is bigger: 5\/52 or l?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 6 - 0. Let g(m) = 5*m**2 + 7 - 4*m**3 - 1 + 5*m + 3*m**3. What is g(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-4))\/((-5)\/(-6)). Let m = 5.6 - 6. Sort m, x, 5.\nAnswer: x, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2) - 45\/10. Suppose 0 = o - 2*o + 4. Suppose 30*g + 34 = 4. Sort g, o, y in ascending order.\nAnswer: y, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**8\/840 + f**7\/70 - 14*f**3 + 182*f**2. Let x(g) be the first derivative of q(g). Find n, given that x(n) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 11. Suppose -j*x - 6 = 4*o, x = 3*x + 4. Suppose o = 2*m - m + 3. What is the second smallest value in -1, m, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292 divided by 292.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51 or 59407?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*a = 109*a - 3*p + 9, -a = 3*p + 9 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 8*j - 128. Let z be w(23). Suppose -4*t = 24*t - z. Solve d - 7 = -t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -494*h + 477*h + 30328. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 1:24 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.09 or -909?\nAnswer: -909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 125 from 14.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/13 - 24*f**2 + 586710*f\/13 - 96348700\/13.\nAnswer: -2*(f - 265)**2*(f + 686)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 10\/(-6))*(-7410)\/(-52). Let x = b - 21. What are the prime factors of x?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**3\/3 + v**2 + 2*v. Let i be t(-5). Suppose 5*a - 5 = h - 4*h, -2*a = 4*h + i. Put 1, a, -3 in increasing order.\nAnswer: -3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54*(-19)\/5643)\/(15\/6 - 2)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -346*c**3 - 292*c**2 + 849. What is the second derivative of o(x) wrt x?\nAnswer: -2076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 3*k - 4. Suppose -4*m - 5*b = -17, -2*b + 3*b + 5 = 2*m. Suppose -m*q = 6*q - 225. Calculate the remainder when q is divided by a(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116743 and 647393.\nAnswer: 7121323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - b**2 - 186. Let g be u(0). Let s = 479 + g. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q**2 + q. Let l be m(-1). Let s = 1103.6 - 1102.6. Sort s, l, -1\/10, -4 in ascending order.\nAnswer: -4, -1\/10, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -609, -2287, -5053, -8907, -13849, -19879?\nAnswer: -26997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 0. Suppose -3*a = -20*a. Suppose 9*j + j = a. Solve j = -p + 6*p + q*z, -5*z = 3*p - 16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3419 is divided by 1535?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -134808.\nAnswer: 11\/134808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (81 - 91 - 69\/(-9))*(765\/(-245) + 3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8854 at least -8855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 3*s - 8 - 19, -3*s = 3*j - 9. Let x(f) = -12855 - s*f + 12855. Let t(a) = -2*a**2. Give t(x(p)).\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (183\/9 - -6)*9\/(-1). Let r = o - -235. Let k(l) = l**3 + 2*l**2 - 1. Let a(d) = 4 + 0*d - 2*d**3 - 2*d**3 - d - 7*d**2. Determine r*a(c) - 7*k(c).\nAnswer: c**3 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 84473 plus 2?\nAnswer: 84475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3553 and 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 206149169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 6*h - 5. Let g be y(4). Suppose -2*b = -5*b - g. What is the units digit of (b - 3*-1)*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 2)*(-5 + 9 + 4)*(0*f**3 + 6*f**3 - 32*f**3) as j*f**3 + s*f + v*f**2 + k and give j.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1\/2. What is the nearest to 3 in 0.4, w, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 + 16*g**2 + 16*g - 195. What is f(-5)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83683\/7755 + 516\/47. Let j = 3\/55 - c. What is the third smallest value in -0.1, j, 1\/4, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = 69 - 213. Suppose 582*v + m = 584*v. What is the remainder when 23 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*y - 48 = -46*y + 3*l, 4*y - 2*l - 38 = 0 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1 = 4. Let o = 954 + -876. Suppose -87*m + 45 = -o*m. Solve 4*r - m*l = r - 4, -4*r = a*l + 17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42550 by -5.\nAnswer: 8510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = -2*c + 16, -3 = -t + c - 3 - 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290012571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000015653848 rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.01+-10039.3\nAnswer: -10039.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 13 = -2*j. Let l(x) = x**3 + 12*x**2 + x - 24. Let a be l(j). Let n = a + 206. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 1. Let z(x) = -3*x - 6. Suppose -9 = 3*v, -4*v = -0*q - 4*q + 28. Let b(s) = q*j(s) + z(s). Calculate b(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12361798?\nAnswer: 2, 59, 104761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5 + (-3 + sqrt(1539) + (sqrt(1539) + -2 - sqrt(1539)) - sqrt(1539)) - (4 + 2*sqrt(1539)*-2))**2.\nAnswer: -1008*sqrt(19) + 24815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 0. Is -674*((-1)\/k - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipipppiiippip. What is prob of picking 3 i?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*k, -2*d = -7*d - 2*k. What is the remainder when d - ((-42)\/3)\/2 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1152 + -685. Let y = 1343 - o. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b - 2*b**2 + 0*b - 2 + b**2 + 2 + (10*b - 39 + 39)*(0*b + 0*b + 3*b).\nAnswer: 29*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.03 - 8.03. Sort -0.4, b, 0.2, 2\/11, -13 in descending order.\nAnswer: 0.2, 2\/11, -0.4, b, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) -0.4 (b) 0.4 (c) -4\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 228 + -227.9999803. What is u rounded to six dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 8*w**2 - 2*w - 4. Let l(i) = 57*i + 676. Let m be l(-12). Determine h(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4*m - 56, 0 = -m + 2 - 0. What is the least common multiple of i and 34?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 4 (c) 0.14 (d) 0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.913 - -1.413. Which is the nearest to -9? (a) x (b) 5 (c) -4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1803512?\nAnswer: 2, 59, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 0.0389707.\nAnswer: 0.1558828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -338*s**3 + 3*s**2 + 2353.\nAnswer: -1014*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/9 - 16*y**2 - 1679*y\/3 + 10658\/9.\nAnswer: -(y - 2)*(y + 73)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48984?\nAnswer: 2, 3, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o + 30*o - 10*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000101100111 - 100?\nAnswer: 11000101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102 and 7245?\nAnswer: 246330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 329, 736, 1305, 2036?\nAnswer: 2929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1575)*-5 + sqrt(63) + sqrt(441)\/sqrt(63))*-5)\/((sqrt(225)*2 + sqrt(225))*3*-2).\nAnswer: -71*sqrt(7)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**5\/3 - 70*d**4 - 552*d**3 + 6904*d**2\/3 - 288*d - 3072 = 0.\nAnswer: -96, -12, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078621020 a multiple of 4770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q + 4*v - 6, 4*q = -v + 15. Suppose -8*g - q*g + 44 = 0. Solve g*u + 0*u - w - 25 = 0, -u - 2*w - 5 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5 + 50*f**2 + 41*f - 9*f**2 - 44*f. What is the remainder when m(-2) is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156797541 to the power of 1\/2, to the nearest integer?\nAnswer: 12522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.257156 to two dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5445)*1*5 + sqrt(5445) - 5*(0 + sqrt(5445))) + 2 + 2)**2.\nAnswer: 264*sqrt(5) + 5461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 345464*m + 3980. Let z(q) = -1215*q - 14. Give -7*x(f) - 1990*z(f).\nAnswer: -398*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 119643923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 2, -5, -0.1, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 0)*(-9*o + 6 - 3 + 6*o)*(-3 + 3 + 2*o) to the form q + a*o**2 + z*o and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 626904546 by -47706.\nAnswer: -13141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d + 4. Let p be x(1). Suppose -5*a - 5*s + 25 = -p*a, 5*a = 5*s - 15. Solve -3 - a = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 3 + 5 - (3 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -162488*r - 156702.\nAnswer: -162488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 55015132 (base 7) to base 13\nAnswer: c8bb91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.3 (b) 1\/17 (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.929317 meters to kilometers.\nAnswer: 0.000929317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -3. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5763 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 4*i - 11 - 12 = 9, 58*u - 120*u + 11*i = -60*u - 73 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1821847\/202 - -9019. Let u = k - 2158\/303. Calculate the common denominator of u and 87\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z + 22. Determine c(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 < 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115458*u**4 + 2*u - 12045.\nAnswer: 1385496*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttitttit. Give prob of picking 2 i.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0.4. Which is the nearest to -2\/5? (a) 0 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3056\/(-1146)*21\/2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 44\/6 - (-6)\/9. Suppose -3*v + 4 = 2*r, 4 = -4*v + 3*r - q*r. Solve v*u + 4*j = -28, -2*u - 5*j = -0*u + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from {u: 2, p: 2, v: 1, o: 3, m: 4, w: 8}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4979 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 - 59 - (4 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*z + z + 74, 0 = 5*z - 5*a - 110. Suppose 1 = -u + o + 20, -z = -u - o. Suppose -u = -0*h - h. Is 3 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 6. Solve 2*i - 2 = -4*g, 0 = 2*g + y*i + 5 - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75895 = 7296*k - 5531*k for k.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-5)*30\/9. Let m = -8 + 12. Let z = m - 2. Put w, -2, z in descending order.\nAnswer: z, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from luulxc. Give prob of picking 1 x, 1 c, and 2 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 greater than or equal to 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2725 (b) -1.9 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y + 2. Let g be (2\/(-3))\/((-8)\/12)*(395 - 396). Let v(r) = r - 7. Let n(d) = 1. Let x(l) = 6*n(l) + v(l). What is g*w(b) - 3*x(b)?\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3757.6 - 33922?\nAnswer: -37679.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(((-12)\/(-40))\/(6\/(-10))))\/135?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttpp when four letters picked without replacement from {n: 1, s: 1, i: 4, t: 7, p: 4}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/30, 2\/7, 1\/5, -2\/7, 0.3?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 n, and 1 u when four letters picked without replacement from {n: 2, m: 2, p: 2, a: 1, c: 1, u: 4}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5.7, -0.1 in decreasing order.\nAnswer: 5.7, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23666 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 0 + 6*d**2 + 1\/270*d**5 + 1\/54*d**4 + 1\/27*d**3 + 0*d. Find i such that b(i) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210002212 (base 3) to base 6.\nAnswer: -430205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 193458583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 0.04 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1042*x + 643*x - 1023 + 836*x - 738*x.\nAnswer: 1783*x - 1023","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 78 or 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001101101011011110111 (base 2) to base 15.\nAnswer: 61a886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1566392 (base 10) in base 15?\nAnswer: -20e1b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68 - -81.7. Let j = 0.7 - v. Let y = j - -15. Which is the closest to 1? (a) 2\/3 (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9.9 and 240.\nAnswer: 230.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*u - 56 - 0, 3*u + 5*o - 42 = 0. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**3 + 282*x**2 - 13068*x + 126360 = 0 for x.\nAnswer: -130, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = 9*o - 467. Calculate the greatest common divisor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 56\/(-20) + (-39116)\/(-770). Suppose 0 = -4*u + 2*u + 8. Are u and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216)*-2*-5 - (2 + sqrt(19) + (sqrt(19) + -2)*6).\nAnswer: 10 + 73*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*h*t**2 - 2*h*t - 45*h - 43275*t**2 - 109 wrt t?\nAnswer: 12*h - 86550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p = 4. Suppose -x = 5*d - 104, 4*x - 4*d = 5*x - 102. Let r = x - 92. Solve r = k + p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17542.\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/4*(-12)\/(-15). Let g(a) = a**3 - 10*a**2 + 9*a + 2. Let x be g(9). What is the second derivative of -6*y**x - 2*y + 3*y**2 + y**b wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a hour in seconds?\nAnswer: 38880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4 + 65 - 76 + r. Let o(f) = 13*f + 2. Give o(c(k)).\nAnswer: 13*k - 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**(1\/54)*n)*n**22*n**28\/n*n*(n\/n**(-42)*n)\/n assuming n is positive.\nAnswer: n**(5021\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 take away 9406?\nAnswer: -9458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 - 38*v + 15*v + 23*v - 6*v**3.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 28 - 2. List the prime factors of 219\/9 + (-2)\/t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 128030, 128074, 128118, 128162, 128206, 128250?\n\"Answer: 44*j + 127986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 17 = 3*o - 59, 0 = 5*c + o - 106. Let b = -16 + c. Suppose 0 = 4*j - b + 10. Put 1, j, 0 in ascending order.\nAnswer: j, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 4 = 5*b. Which is bigger: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 6, -9991 in descending order.\nAnswer: 6, 2, -3, -9991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + o + 1 = 0, -2*u + 2*o - 18 = -6*u. Let a(l) = 69*l**2 + 5*l + 2. What is the tens digit of a(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 2*x - 2. Let z(o) = o**2 + o + 1. Let f(u) = u**2 - 118*u + 559. Let g be f(5). What is g*z(v) - 3*c(v)?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -0.4 (b) 2\/15 (c) 1 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -44, -473, -1634, -3893, -7616?\n\"Answer: -61*y**3 - 2*y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-6 - 10) - 6) + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, m: 4}. What is prob of sequence mmg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 3 - 5) + 68 + (-4 - 7)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 1096876.\nAnswer: 10968760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/150 + 6\/(-10)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by ((4\/5)\/(-1))\/(6\/(-135))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/(j*j\/j**(-2\/39)*j*j*j*j))*j*j**(-11)*(((j\/(j**(-1\/27)*j))\/j)\/j)**(5\/8) assuming j is positive.\nAnswer: j**(-14533\/2808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 661341333 to the nearest integer?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2416658 and 1746.\nAnswer: 21749922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzzdzzzzztztz. Give prob of picking 3 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -96, 0 in descending order.\nAnswer: 0, -24, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-159)\/(-9) - -3 - (-2)\/6. Suppose 7*f = 20 + 8. What is the closest to 0 in 0, f, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -60, -188, -440, -858, -1484, -2360?\nAnswer: -3528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-four fifths of a century?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*x + 21*x - 217 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62609 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 q(j) = -48*j + 4. Let m be q(-2). Let b be 3\/(-9) - m\/(-3). Let x = b - -4. List the prime factors of x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 145*f.\nAnswer: -f*(f + 145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2 (b) -2\/3 (c) 38\/1696199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2982208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/((-21830)\/(-30))*(-2)\/3.\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 33*f - 118. Let m be r(-5). Let q = m - -753. What are the prime factors of q?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2450, 2456, 2474, 2510, 2570, 2660, 2786?\n\"Answer: t**3 - t + 2450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7328, 7792, 8256?\nAnswer: 8720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -1\/6*g**3 + 3\/2*g**2 + 1\/20*g**5 - 2 - 1\/4*g**4 + 53*g. Calculate v(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000079165 to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.2856 * 0.506\nAnswer: 0.6505136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1047 + 4380. Is o a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32.4 - 35.4. Sort s, 0.2, -321.\nAnswer: -321, s, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -5 + (12 - 5 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/20 - 320110\/34680) + 10?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -75683, -302683, -681011, -1210667?\n\"Answer: -75664*p**2 - 8*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/11)*(g\/(g**(4\/5)\/g))\/g)\/(g\/g**(-3\/5))**(-13\/2))**(-10\/7) assuming g is positive.\nAnswer: g**(-1156\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-5) - 110\/(-25). Let n be 43 + (y - 4) + 3. Suppose 5*j - n - 773 = 0. List the prime factors of j.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 11*g**2 + 12*g + 16. Let k = 385 + -150. Let i = k + -247. What is c(i)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -335?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/22 (b) -22 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71515 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2. Let q(w) = -261*w**2. Give q(d(g)).\nAnswer: -1044*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.041 - -1.2.\nAnswer: 1.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -c - 3*z, 8*c + 9 = 3*c - 2*z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*u + 3 - 39, 4*p = u + 28. Suppose -p*f - 476 = -10*f. Let q = f - 72. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 4) + (11 - -14) + 16?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/8 not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 124?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eighteen fifths of a millisecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 6. Let k be x(6). Suppose k*p = p. Suppose 3*o + 75 = -5*l, p*l + l + o = -13. What is l rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-6)*2)\/((-5)\/(-20)). Let u = -376 + 381. Put z, -5, u, 2\/11 in descending order.\nAnswer: u, 2\/11, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, 4, 1, -5, -3.2466?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6346 (base 7) to base 16\nAnswer: 8bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f*l*t**3 - 215540*f*l*t**2 - 588*l*t**3 - 4*l*t**2 + 2*l with respect to f.\nAnswer: -l*t**3 - 215540*l*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 6, 4, -1, 9, 1, 11390 in descending order.\nAnswer: 11390, 9, 6, 4, 1, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 65749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**36*p*p*p\/((p\/(p*(p\/(p**29\/p))\/p))\/p)*(p\/p**(13\/4))\/p*p*p**10 assuming p is positive.\nAnswer: p**(83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 20*z**2 - 8*z - 125. Give r(-20).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m - 23*m + 2*m + 57*m - 76*m.\nAnswer: -31*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 84, 275, 644, 1251, 2156, 3419?\nAnswer: 5100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*b + 348 = 131*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y + 4. Let x be m(4). Let f(p) = -p - 12. Let n(k) = -2*k - 29. Let l(q) = 15*f(q) - 6*n(q). Calculate l(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -867270670*0.3.\nAnswer: -260181201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -180 - -442. Calculate the remainder when f\/13 - 4\/26 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*f**2 - 5*f**3 + f**2 - 2*f + 4*f**2 + 4 to b*f + i*f**3 + w + z*f**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 21 = 5*y + 3*t, 0 = -3*t + 9. Which is the second smallest value? (a) -10\/17 (b) 1\/2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 2*p + 0*p)*(2*p**3 + p**3 + 0*p**3) + 0*p**4 - p**4 - 4*p**4 + (0 + 0 + 2)*(2*p**4 - 4*p**4 + 0*p**4).\nAnswer: -15*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + -0.1. Let t = 0.6 + z. Let u = 23478 - 23483. Put u, t, -2\/5, -1\/6 in ascending order.\nAnswer: u, -2\/5, -1\/6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-156) - (-15)\/156)\/1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1448 divided by 181\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 8, b: 3, j: 6}. What is prob of picking 2 j and 2 o?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, b: 4}. What is prob of picking 2 b and 1 h?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 11*z + 23. Let k(q) be the second derivative of 23*q**3\/6 + 47*q**2\/2 - 9*q. Let c(f) = 4*k(f) - 9*s(f). Is c(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(1008)*-2 - (-3 + sqrt(1008)*-1 + sqrt(1008) + sqrt(1008)))**2 + ((sqrt(7) + sqrt(448) + 0)**2 - (-3*sqrt(7)*1)**2)*3.\nAnswer: 216*sqrt(7) + 10588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*p = 157*p - 2435400. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 7*i**4\/12 + i**3\/6 - 4*i**2 + 18. What is m(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -401, -487, -717, -1163, -1897, -2991?\n\"Answer: -12*j**3 - 2*j - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 6 - (-3 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 10*b - 133. Does 7 divide (-3)\/1 - (-64 + b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6160873 is divided by 3665?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**4\/6 - 204*b**2 + 3*b. Let p(m) = -248*m**2. Calculate n(p(t)).\nAnswer: -992*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from ooonnon?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at most 344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 723*o**5*z + 29*o**4*z**2 - o**2*z**2 + 1329*o**2*z + 2*z**2 wrt o.\nAnswer: 43380*o**2*z + 696*o*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -62. Let d = 58 - w. Let x(j) = -13*j - 5. Let l be x(d). Is l equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 41 = -c + 3*z, -4*c + 5*z + 93 = 0. Let s = c - 3. Solve p - 4 + 2 = i, -3*p - s = 2*i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqe when three letters picked without replacement from kwseqkk.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*p - 32*p + 4*f - 4 = 0, 3*p - 31 = 4*f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4\/5, -364.3, 3\/101 in increasing order.\nAnswer: -364.3, -4\/5, 3\/101, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 96953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -4 (b) -2.9 (c) 2\/215 (d) 0 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-2)\/(1*-10)). Let k be (-6)\/(-8)*-6 - -2. Let h = 33 - 28. Which is the biggest value? (a) h (b) k (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 543 = -g. Is (g - 1)\/(3 + -5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 74*h**2 + 1. Let d(g) = -3*g. What is m(d(p))?\nAnswer: 666*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4*u**2 + 1)*((-2 + 1 + 3)*(-4*u + 5*u + u) + (1 + 2 - 5)*(1 - 1 + 4*u) - 3*u + 6*u + 4*u) to s + p*u + o*u**3 + l*u**2 and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 12*v = 210. What is the highest common divisor of 75 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7187 is divided by 49?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 v when four letters picked without replacement from {p: 1, v: 17}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 115808.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*2 - (-3 + (-1256862)\/120). Let v = q + -10468. Calculate the common denominator of v and 55\/118.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56063 <= -56065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -5. Let y(k) = -15*k**2 - 3*k - 27. Let o(p) = 29*p**2 + 5*p + 54. Let t(h) = m*y(h) - 3*o(h). Find the first derivative of t(c) wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 17*i - 2. Let m be y(7). Let g be 6*(-9)\/243 + (-119)\/(-9). What is the greatest common divisor of g and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.004 + -3.996. What is the biggest value in 0, 5\/6, w, -2\/17?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 0*i**2 + 0*i**5 + 3\/2*i**6 + 0*i + 0*i**4 - 23 + 29\/3*i**3. Find the third derivative of q(h) wrt h.\nAnswer: 540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*d, 5*w = 6*d - 2*d + 14. Suppose -2*h - w*f + 7 = -1, -2*f + 8 = 4*h. Is (h + 17)*2\/2 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 11, 32, 59, 92?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-5)*150\/90\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*m - 17. Calculate the least common multiple of m and 44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99229489 to the nearest integer?\nAnswer: 9961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 10*l - 4. Let h be i(9). Let q(g) = g**2 - 4*g. Let c be q(h). Solve -c*y = 8 + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*g - 34*g + 7. Let a be (g - (-9)\/(-7))\/(9\/(-21)). What is the fourth smallest value in 2\/9, -4, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**20\/((z**4*z)\/z) assuming z is positive.\nAnswer: z**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*(sqrt(143) + -2*sqrt(143))*-3)\/(-4*-4*sqrt(99)*2).\nAnswer: 5*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*p + 2507 = 563*p + 25462 + 36661 for p.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 616 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(525\/(-45))\/(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/266073 and -22\/1862511.\nAnswer: 1862511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89928942?\nAnswer: 2, 3, 23, 29, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 11. Let w be k(5). List the prime factors of -3 - w - 2 - -36.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13510.36928 - 13511. Round j to two dps.\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*-1 - -8 - -1. Suppose 3*l - 6 = 0, 2*l - 20 = -4*o + 6*l. Suppose 17 = o*i - 11. Solve -a - 1 = -i*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -41104.\nAnswer: -5\/41104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 37*a**2 + 293*a + 10849. Calculate v(-37).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81893679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4 = -2*b, -i + 2*i = 3*b + 16. Let h = 6 - i. Find the third derivative of -2*p**3 + 0*p**h - p**2 + 3*p**3 wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10042, -20254, -30788, -41806, -53470, -65942, -79384, -93958?\n\"Answer: -27*l**3 + l**2 - 10026*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 20. Suppose w - 2*d = -w, j = 4*w - 3*d. Solve -3*v - w = -2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226025633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(-74 + 39 + 41)*(-228*c + 2*c**3 + 228*c).\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 7:39 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4743336 years to decades.\nAnswer: 0.04743336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25165*u - 25045*u + 75253*u - 25046*u - 3 + 3.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 e when three letters picked without replacement from {v: 5, i: 1, z: 1, e: 9}?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -22, -11, 6, 29, 58?\n\"Answer: 3*r**2 + 2*r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 130 = 9*n. Let b(l) = l**3 - 12*l**2 + 2*l - 19. Let o be b(12). Calculate the highest common divisor of n and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497568833?\nAnswer: 497568833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 21. Let r(t) = 3*t - 73. Let z(v) = -7*g(v) + 2*r(v). Let m(b) = 4*b - 2. Give 2*m(x) + 10*z(x).\nAnswer: -2*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-28)\/(-24))\/7*-16*-120. Let t = -217 + u. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 7*n**2 + 7*n - 4. Let f be -2*((-260)\/8)\/(-5). Let w = f - -17. Suppose -w = -5*d - 34. Give g(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2\/5 - 171*r\/5 + 2244\/5 = 0 for r.\nAnswer: -68, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -147*r**5 + 2*r**4 + 170*r**5 - r**4 + 0*r**5 + 3*r**5 - 5*r**5 + (2 - 2 + 2)*(-r**5 + 2*r**2 - 2*r**2) - 2*r**5 + 3*r**5 + 2*r**5.\nAnswer: 22*r**5 + r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/4)\/((-256)\/(-128)*1\/(-8))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j**2 + 2*j**2 - 4*j**2)*(3*j**2 - 3*j**2 + 2*j**2)*(0 - 6 - 2).\nAnswer: -80*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 1. Let y(i) = 12*i**3 + 12*i**2 + 3*i + 1. Let o(t) = -5*l(t) + y(t). Let b(h) = h**3 + 2*h**2 + h + 1. Let a(g) = -6*b(g) + o(g). Give a(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.3 (b) 1789877 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 45306?\nAnswer: 45304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 280 - 118. Let i be ((-1)\/4 + x\/(-24))*2. Is 1*((-6)\/i - 1892\/(-77)) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-46)\/(-4))\/(-23)*0. Solve t = -13*s - 7*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*x**4 + 584*x**3 + 18*x**2 - 40?\nAnswer: 48*x + 3504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 584\/657*(-6)\/(-40)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gprkgpy. What is prob of picking 2 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*d**2 + 3*d**6 + 3*d**6 - 7*d**6 wrt d?\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 28. Let i be g(0). Factor -3*y**2 - i + 6*y + 28.\nAnswer: -3*y*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-400)\/70 + -35*44\/(-275).\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 7 - -1) + (25 - 15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139.53 + -3680284.\nAnswer: -3680423.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35525 in 38, 1, -4?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u + 3. Suppose a + 2*a + 6 = 0. Let v(i) be the second derivative of -4\/3*i**3 - 2 - 6*i**2 - 15*i. What is a*v(b) - 9*c(b)?\nAnswer: -2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1788751 - -1.3224.\nAnswer: -1788749.6776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 338973*n**3 + 153402*n**2 wrt n?\nAnswer: 2033838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.9 in -1, -135, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2496203168 to the power of 1\/2, to the nearest integer?\nAnswer: 49962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2. Let d(k) = k**2 - k - 2. Let y be d(-2). Suppose 0 = -x + 5*p + 7 - 3, -16 = -y*x - 3*p. Calculate l(x).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6368095?\nAnswer: 5, 61, 20879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a millennium in centuries?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 90737773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -935*j**2\/2 - 20571*j - 44.\nAnswer: -(j + 44)*(935*j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2748, 5497, 8250, 11007, 13768?\nAnswer: 16533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + 7 + 7)*(-18)\/(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -475.5 times 37895\nAnswer: -18019072.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -525639, -526272, -526905, -527538?\n\"Answer: -633*v - 525006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, 343, -2, 0, -50 in increasing order.\nAnswer: -50, -2, 0, 2, 6, 343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253614?\nAnswer: 2, 3, 43, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + v - 6 - 3*v + 4*v.\nAnswer: v - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (4 + 2)) + 5 - 5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to -557.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 156779187 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 3, 301, -1 in descending order.\nAnswer: 301, 21, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 195191 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 7*z**2 - 7*z - 5. Let r be (-4 + 0)*(-8 + 6). Let v be a(r). Solve 2*g = -v*g - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*w - 368 = 1323 - 407 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - v - 35 = 0, 5*i + 7*v + 54115 - 54182 = 0 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1988, -1984, -1980, -1976?\nAnswer: -1972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 2 + -3 + 5 + 2 + -13?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**2 + 17*k - k**2 - 9 + 2*k - 3*k**2. Let i be w(8). Suppose -i = -5*n + 6. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (152\/(-28) + 2)*-7. Let j = y + 126. Calculate the remainder when j is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 468 + 444. Calculate the highest common divisor of 152 and j.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -610 and 6.\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3992 + 3992 - 2428846*b.\nAnswer: -2428846*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -147815, -2?\nAnswer: -147815","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q + 5. Let v(k) = 3*k + 3. Determine 5*v(p) - 3*y(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -639.5 + 639.8. Which is the nearest to -101? (a) 4 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t - 27. Suppose 0 = 3*y - 3*r + 9, -y + 3*y - 9 = 5*r. Let m be f(y). Let s = 0.1 - 0.3. Which is the smallest value? (a) 1\/11 (b) m (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/6)\/((-3)\/6). Let k = 11 + -8. Suppose -9*d - 10 = -7*d. What is the closest to f in 0.1, k, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-145)\/(-116))\/(2\/16). Factor 4*o**4 + 98*o**5 + o**4 - 184*o**5 + 91*o**5 - u*o**3.\nAnswer: 5*o**3*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541757788.\nAnswer: 2, 11, 13, 947129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 6120*v + 4681800.\nAnswer: 2*(v + 1530)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 636, 2115, 5006, 9783, 16920, 26891?\nAnswer: 40170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -v + 3, -2*v + 0 + 3 = -p. Let r be -1 + v + 1*380. Suppose 4*i - r = -4*o, 3 = -5*i + 8. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114 + -43324?\nAnswer: -43443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 9*y + 9. Let n(x) = 4*x + 4. Let s(v) = 3*c(v) - 7*n(v). Let l(u) = 2*u**2 + u + 2. What is -l(a) - 2*s(a)?\nAnswer: -2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -742, -755, -768, -781?\n\"Answer: -13*y - 729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/8960 and -169\/3840.\nAnswer: 26880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2714035 - 36308282.\nAnswer: -33594247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 1:58 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 3, 1, -91 in decreasing order.\nAnswer: 3, 1, 0, -4, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**8\/224 - w**7\/105 - w**6\/240 - w**2\/2 - 3*w. Let t(j) be the first derivative of m(j). Factor t(o).\nAnswer: -o**3*(o + 1)*(3*o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001 + -22012000212?\nAnswer: -22011222211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4262.31 millennia in decades?\nAnswer: 426231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 11 + 3 = -f, -f = 2. What is the remainder when 10 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, p: 4, w: 4, r: 1, k: 2, i: 6}. What is prob of picking 3 o?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cczxxcfpypfx?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*w - 39*w - 4*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1143.07 - -1143. What is the closest to j in 0.5, 1, -2\/5, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928855931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 2*r - 6 + 2, 3*w + 304*r = 309*r - 28 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 998.842 minutes to microseconds.\nAnswer: 59930520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 9012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -256 + 259. Which is the second smallest value? (a) -0.3 (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -15. Solve p = -4*n + s, 0*n = 5*p + 5*n + 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + ((-1012)\/(-77))\/2 + (-410)\/350.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(-15)*-1*5. Suppose g = 2*y - 0*y. Suppose y*c = 4*d - 320, 285 + 30 = -3*c + 3*d. Round c to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -76, 11\/4, 1\/4, -9, -2, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -15 - (167 - 149).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3694*u**2 - 8*u - 5. Suppose -193 = 4*h - 189. Is t(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 890 and 801?\nAnswer: 8010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21 - 20 - (0 - -1). Suppose 2 = -p + q + 3, f = -4*p - 2*q - 20. Let x(r) = r - 3. What is x(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114 (base 15) to base 9\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.3 * -0.4.\nAnswer: -4.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40028?\nAnswer: 2, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 - -54 - (7 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13780822533\/161 + -85594690. Let z = s - 481. Let p = z + -654\/805. Is 0 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14423547923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -36, -99, -220, -417, -708?\nAnswer: -1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*q**2 + 8*q**2 - 122*q**2 + 44*q**2 + 33*q**2 + 31*q**3.\nAnswer: 31*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17128 - 16523. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 6:59 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - 0. Let t = 102 - 102. Which is the third biggest value? (a) t (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14107, -30587, -47067, -63547?\n\"Answer: -16480*a + 2373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wy when two letters picked without replacement from {y: 2, w: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8\/30*30\/(-150)*(-27)\/(-12)\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 11:40 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.082021 to one decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2114 + 3?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -554, -545, -536?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2 + 6 - 11 - a. Let d be y(3). Is -5 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00574749857 rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/(2006\/1416*(-6)\/51).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22)\/(-4) - 1\/2. Suppose -2*v + l = -5. Suppose 3*r = 6*r - 15. What is the highest common divisor of r and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 489617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 3. Suppose -p + 13 = 5*a, 2*p + a + 2 = 1. Let h = 8 + p. Suppose 2*q + 7 = -1. Let k(b) = -2*b**3 + 4. Give h*j(t) + q*k(t).\nAnswer: 2*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m + 8. Let g(h) = 2*h**2 - 16*h + 9. Let b be g(7). Let c(f) = -2*f + 7 - f + 0. Give b*z(y) + 6*c(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -102 (b) -0.5 (c) 2 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(1\/2)))\/w**8*(w**3*w)\/w**(1\/4))**25 assuming w is positive.\nAnswer: w**(-375\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37618 = -14*j + 20356. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 3*i - 117 = 0, -2*r + 4*i = -0*i + 44. Put r, 28, -1 in decreasing order.\nAnswer: 28, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48545915?\nAnswer: 5, 11, 882653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/326772 and 23\/42282.\nAnswer: 26468532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132, -250, -366, -480, -592, -702?\nAnswer: -810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98 + 14 + 21 + -54 + 32?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2183, 8741, 19669, 34967, 54635, 78673, 107081?\n\"Answer: 2185*b**2 + 3*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/991231 and -52\/1633.\nAnswer: 991231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + m**5 + 0*m**2)*(20 - 11 + 16)*(1 - 2 + 0)*(4 - 7 - 3).\nAnswer: 150*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - -3 - 4 - 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 8:04 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, n: 2, f: 2, p: 8}. Give prob of sequence wwwn.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.18 + 0.82. Let r = 7 - 11\/2. What is the closest to s in 3\/4, -3\/8, r?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q - 31. Let m be w(-5). Let l be m + 41 + -5 + 3. Calculate the highest common divisor of l and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = 10121 - 28876. Let j(k) = -k - x + 1705. Let i(c) = 45*c. Determine i(j(v)).\nAnswer: -45*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96*x**2 + 338 - 338 to the form r + n*x**2 + q*x and give n.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1188*a**3 + 5*a**2 + 20*a - 4. Let b(x) = -x**3 - x + 1. Let h(l) = 18*b(l) + 2*u(l). Let k be h(9). Round k to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 21*g + 335. Let z be (g - -1)\/(17\/((-340)\/3)). Let n(r) = 17*r**3 - r**2 + r - 1. Let f be n(1). Calculate the highest common factor of z and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26, -61, -110, -173, -250, -341, -446?\n\"Answer: -7*u**2 - 14*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**3 + 231*d**2 - 13899*d + 63845 = 0?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2120, -20 in decreasing order.\nAnswer: -4, -20, -2120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29.54 - -0.54. Let l = w - -111. Let c = -114.5 + l. What is c rounded to 0 decimal places?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/9 (b) 64 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 11:59 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7910 is divided by 72?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70281, -91955, -113629, -135303, -156977, -178651?\nAnswer: -200325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5066.5 centuries?\nAnswer: 6079800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/224*49)\/(2\/24). Suppose -k + 6732 = g*k. Let x be (3\/6)\/(1\/36). What is the greatest common divisor of x and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 22*n + 52812 = 0. Let y = n + 2935. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79194 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbvvbvvrbb. What is prob of picking 2 b and 1 r?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 15293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 651739 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/3 + 7474*m**2\/3 + 370925*m\/3 - 2041600\/3.\nAnswer: (m - 5)*(m + 55)*(m + 7424)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 7*k = 1512. Let g be (-197)\/k + 8\/(-24). Let f = g - -309\/28. What is the common denominator of -25\/4 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(22) - (sqrt(198)*1)\/sqrt(9))\/((-2*sqrt(22))\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 38\/3. Let d(s) be the second derivative of -2\/45*s**6 + 7\/30*s**5 - 1\/2*s**4 - s - x*s**2 + 0 + 5\/9*s**3. Suppose d(u) = 0. Calculate u.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -115?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -60*m + 17. What is the hundreds digit of u(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b37 - 4260?\nAnswer: -3325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6338 - -8485. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b - 4 + 5 + 27*b)*(-b + 2*b + b).\nAnswer: 44*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3082 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**8\/1344 - s**7\/420 + s**6\/480 + s**5\/120 - 2*s**2. Determine o so that k(o) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(567) - (1 + sqrt(567) + 1)**2).\nAnswer: -571 - 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 43299 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2298401713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -92d - 1?\nAnswer: -92e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -461, -918, -1359, -1778, -2169, -2526, -2843, -3114?\nAnswer: -3333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -4*l**7\/105 + l**3 - l**2. Find the first derivative of k(d) wrt d.\nAnswer: -32*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41*651\/93*((-15)\/35)\/3\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 92340769\nAnswer: -92340764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 24. Which is the closest to -1\/2? (a) 5 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (214 - 109) + (-20 - 45)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.106474 plus -6?\nAnswer: -5.893526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + u + 9 = 0, 0 = 2*z + 4*u + 6 + 16. Do z and 3\/62 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224421 (base 5) to base 12.\nAnswer: -483b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11 + -41)*-4 + -4. Calculate the greatest common factor of z and 5278.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1309 - 1300. Solve -2*s - 5*j + 0*j = d, -s - j = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 598940 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/5 and -81\/1288.\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2. Let g(y) = 219*y - 5. Let a(c) = -1862*c + 42. Let d(j) = -5*a(j) - 42*g(j). Determine d(q(n)).\nAnswer: -224*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 392*q - 150*q + 24 + 5*q**2 - 163*q - 2*q**2 as k + a*q**2 + w*q and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4944*b*g**2*q**2 + 5*b*q**2 - 26*b + 14*g**2*q**2 + g**2*q - 29850*g**2 wrt b?\nAnswer: 4944*g**2*q**2 + 5*q**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6827, 6835, 6849, 6869?\nAnswer: 6895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 5. Let d be p(2). Suppose 0 = -5*y + 4*v - 6*v + 120, 72 = d*y + 3*v. Let f = y + 2. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4786397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 41587961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 12) in base 5?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 - 603*j - 65340. Calculate l(-78).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17679, -17687, -17707, -17745, -17807, -17899, -18027, -18197?\n\"Answer: -w**3 - w - 17677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 125744 divided by -62872\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2715*w = 2701*w + 70 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (225\/5 + -3)*8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15093481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/(-64))\/((-6)\/(-8))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1216 and 6080?\nAnswer: 6080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3670676.56 rounded to the nearest 10000?\nAnswer: 3670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1437770 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897 is divided by 300?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 206 = 12*s - 4*s, 2*w + 11*s = 12*s + 31 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/240*-12)\/(100\/25)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.08\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 3) to base 14.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-1))\/((-1)\/3). Suppose 5*i = 15*i - 40. Solve 0 = 3*u + 5*g - 30, 2*u - z*u + i*g - 7 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48 + 87 - 16)*(13 - 13 - 4*u) to the form o*u + q and give o.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -4*o + 12, -30*o + 33*o + 5*z = 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2788327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 12, a: 3}. Give prob of sequence jj.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -116*l**3 - 390*l**2 - 778*l + 1. What is a(-2)?\nAnswer: 925","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 12. Which is the closest to 0.1? (a) 0.2 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 11*g**2 + 6*g + 7. Let h be v(10). Let c = -28 - h. Let t(r) = 2*r**2 - 2 - r**2 + 0*r**2 - 5*r. Determine t(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21970519393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 o, and 2 u when four letters picked without replacement from zuozuvouzzd.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(192)))**2.\nAnswer: 64*sqrt(3) + 772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 731536.4ug in grams?\nAnswer: 0.7315364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 7. Let s = -3 - a. Let o = 10 + -9.7. Sort o, s, -2\/17 in decreasing order.\nAnswer: s, o, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130 and 36625?\nAnswer: 952250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2141\/7 - -306. Put 6, h, -0.2 in ascending order.\nAnswer: -0.2, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-696)\/(-116)*((-1)\/1)\/(-2). Solve -5*s - 24 = 3*v, -v - f*v - 6 = -2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 13) in base 10?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 8 - 10. Suppose -6 = 4*l - s. Solve -5*i - 4*x - 32 = 0, x - l*x - 6 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m**5 + 30*m**4 + 38*m**3 - 6*m**2 = 0. Calculate m.\nAnswer: -1, 0, 1\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**3*n*n*n\/(n*n**(2\/17))*n*n**(3\/10)*n**(-9) assuming n is positive.\nAnswer: n**(-479\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155877326 is divided by 1348?\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-72)*2 - (-9)\/54) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 6 + 0 = 0. Suppose -4*o - 12 = 3*p, 5*p + 9 = -5*o + 2*o. Does s = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4760801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 3:40 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9797521 rounded to the nearest 100000?\nAnswer: -9800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1, 1, 45, -397, 2 in decreasing order.\nAnswer: 45, 10, 2, 1, -1, -397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4346, 3, -1, -2.\nAnswer: -4346, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*g**2\/7 + 735760*g\/7 + 2706713888\/7 = 0. What is g?\nAnswer: -36788\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/3 - (-5 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 7*a**2 - a + 7.\nAnswer: (a - 7)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11588359 to the nearest integer?\nAnswer: 3404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 + 34789*l**2\/2 + 1210413665*l\/4 + 1210135369.\nAnswer: (l + 4)*(l + 34787)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45665.83 nanometers in kilometers?\nAnswer: 0.00000004566583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16749804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/24))**(-2\/189) assuming c is positive.\nAnswer: c**(1\/2268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3.12. Let o = -0.02 - y. Let d = 0.2 - 0. Is d greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 79 - 5*j**2 + j**3 - 77 + j**3 - 3*j**3 - 4*j as r*j**3 + i*j**2 + w*j + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*x = 0. Let j = 11 + 22. Let f = j - 33.2. Which is the second biggest value? (a) x (b) f (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 47, -4\/3, -3 in increasing order.\nAnswer: -3, -4\/3, -0.3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 34362 to the power of 1\/2, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.152282 minutes in days?\nAnswer: 0.0049668625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grgr when four letters picked without replacement from {r: 2, g: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/1 + -5 + -88. Let v = p - -25. Is 11 a factor of ((-12)\/(-15))\/((-4)\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -9 (b) -1\/2 (c) -0.4 (d) -176 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 1685*x**2 - 133795 + 3438*x + 495684 - 817*x**2 + 623098 - 865*x**2 = 0. Calculate x.\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*n**4 - n**3 - 478715*n**2 + 2688407 wrt n?\nAnswer: 12*n**3 - 3*n**2 - 957430*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47*z - 1369*z**3 - 1370*z**3 + 2740*z**3 + 15*z**2 + (4 - 2 - 1)*(0*z + 0*z - 2*z**3).\nAnswer: -z**3 + 15*z**2 + 47*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.2722.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 18024128.\nAnswer: 1802412.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1651 is divided by 162.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = 3*y + 7, 41*y - 36*y - j = 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*sqrt(729)*2)\/(sqrt(432) + (sqrt(432) - -1*sqrt(432)) + sqrt(3) - (sqrt(243)*2 + sqrt(243))))**2*2.\nAnswer: 486\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 2259 + 2275 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -2. Suppose -3*n = a - 19, -4*a + 9*a = -4*n + 40. Let r = z + n. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**1)\/(s\/(s**(-2\/15)*s)*s))\/(s**(1\/3))**(12\/7))**21 assuming s is positive.\nAnswer: s**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103, -112, -145, -214, -331, -508, -757?\nAnswer: -1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 80510363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -13*j - 10*j + 3*j. Let y = -24497 + 24507. Calculate the least common multiple of z(-1) and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745984561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -464 * -1\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1648 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**3 + 2*w**4 - 4*w**3 + 2*w + 2*w**4 - 2*w + (-3*w - w + 2*w)*(-3*w**3 + w**3 + 0*w**3).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.820934 rounded to 1 dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 6 + 3)*(-2*d**2 + 2*d**2 + 6*d**3) + (-4*d + 2*d + 3*d)*(-4*d**2 - 2*d**2 + 4*d**2) to the form x*d**3 + n*d**2 + q + r*d and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*h - 495. Suppose -2*x + 5 = -h. Let l = x + -28. Solve -45 = -2*a + 7*a - 5*j, 0 = l*a - 5*j + 33 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/2 + -54 - -1. Let x = s + 66. Let t(f) = f**2 + 4*f + 8. Let p be t(-6). What is the highest common factor of x and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*o = 572, 4*i + o - 4*o = 2313. Suppose 148 = -g - i. Let b = -466 - g. Calculate the highest common divisor of b and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-1\/3)*s)\/s)\/s**2)**(7\/10))**24 assuming s is positive.\nAnswer: s**(-196\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -172084 + 0.116\nAnswer: -172083.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/156*3\/(-2)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y + 4. Let c = -14 + 17. Suppose 5 = -c*l + 11. Calculate the smallest common multiple of y and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, c: 3, s: 3, k: 3}. What is prob of picking 1 p and 2 c?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z + 0*z + 10*z)*(-30*z**2 - 6 + 3 + 25*z**2) as c*z**3 + i*z**2 + a + s*z and give c.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3843*x**2 - 3077*x**2 + 6174*x**2.\nAnswer: -746*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35904 is divided by 797?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 14. Let k be w(10). Suppose -2*p + 28 = k*n, 5*p + 21 = 1. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9946 + 14098. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240 + -1 - (-28)\/63*-9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1006 and 176.\nAnswer: 88528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 0.1 (b) -30 (c) -5 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 17*t - 44294 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a + 7. Suppose 0 = -64*l + 63*l + 5. What is j(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5352*v + 299743. Calculate w(56).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47.99999971 - 48. Round n to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92 - 27. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 1, d: 1, l: 1, y: 3}. What is prob of sequence xy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-478)\/(-239))\/((11\/(-2))\/(-1)*1)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10737401 - -3\nAnswer: 10737404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, b: 2}. What is prob of sequence bq?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*10 + -2 + 2. Suppose 4*m - a = 54. Suppose -26*u + m*u = -35. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 8*q + 6. Let t be w(-9). Let k = 3248 + -3247.9. Which is the fourth smallest value? (a) t (b) 1 (c) k (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-38))**38 assuming q is positive.\nAnswer: q**(-1406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5924*a - 90. Give z(0).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) 1 (b) 279 (c) -0.06 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 204 - 195 = 0. What is the nearest to 0.1 in d, 0, -0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 + (-4 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41873 - 27259. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1745 is divided by 39?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-4 + 2 + -4)) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100222211102011 (base 3) to base 13.\nAnswer: -113c557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 4. Let m**4 + 4*m**j + m**4 + 7*m**3 + 2*m**2 - m**4 = 0. What is m?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and (-7)\/((-14)\/8) - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/13)\/h**7)\/(h*h**9*h*h\/h**(3\/4)*h) assuming h is positive.\nAnswer: h**(-997\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2333 + -1914?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 322*a**4 + 23315*a**3*f - 1116*a**2 + 6190*a*f wrt a?\nAnswer: 7728*a + 139890*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 6) in base 3?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 1 + 3)*(-2 + 2 - 1) + 1 + 0 - 4 - 3 + 2 - 3)*(0*p - p - 3 + 0).\nAnswer: 6*p + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1785 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145012450 (base 6) to base 14.\nAnswer: 58dc50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20\/21? (a) 0 (b) 667 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 12*d + 257. Let q(w) = 21*w + 257. Let h(c) = 3*j(c) - 4*q(c). Find the first derivative of h(k) wrt k.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 3*m - 362, 8*j - 4*m - 77 = 7*j. Let v = -67 + j. Suppose -v*i = -0 - 12. Let s(q) = -q**3 + 4*q**2 + 2*q - 2. What is s(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**4\/12 - d**3\/6 + d**2 - 4*d + 12. Calculate r(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 985669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 8*o - 2. Let y be (-4)\/10 + (-32)\/(-5). What is the remainder when z(y) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20189396 to the nearest integer?\nAnswer: 4493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -33*o - o**2 - 4 - 28*o + 107*o - 30*o - 2. Suppose 0*r + 4*r - 200 = 0. What is the remainder when r is divided by g(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47.96 + -48. Sort -0.5, z, 1\/4.\nAnswer: -0.5, z, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585797688 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0, -0.4, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 7:24 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 = -1973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/9, -20\/7, 7\/3, 4?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28.899 - -7.201. Which is the smallest value? (a) y (b) -0.3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/286 and 83\/280?\nAnswer: 40040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -284 - 2\/3*x**2 - 854\/3*x.\nAnswer: -2*(x + 1)*(x + 426)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -348*f**2. Let m(v) = -80*v**2 - 51*v**2 - 82*v**2 + 257*v**2. What is d(m(b))?\nAnswer: -673728*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 511390111 to the power of 1\/2, to the nearest integer?\nAnswer: 22614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6360914643 to the power of 1\/2, to the nearest integer?\nAnswer: 79755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 50 - 24 - 4 - -5\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -l - 70. Suppose l = 3*j - n, 2*n + 2*n = 16. Calculate the remainder when 25 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.44068845 - 1.79.\nAnswer: -0.34931155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-3 - (0 + -3 + 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1 (b) -4\/5 (c) 4\/341\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*k - 9*k - 24*k - 156 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -9*w - 2. Let x = 4 - 10. Let j be n(x). Suppose 4*t - 5*u - 92 = 0, -2*t + 4*u + j = -0*t. Calculate the remainder when 68 is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - 25*s - 17. Calculate the remainder when g(-11) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 5*w**2 + 4*w - 27. Let i be m(3). Solve -47*x + i*x + 60 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a minute in milliseconds?\nAnswer: 97500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-9)*0 + 0. Suppose -4*r = -2*h + 2 + 10, t = -h + r + 3. Suppose -5*n + 4*n + 3 = 0, h = -4*d - 5*n + 27. Solve 2*x - d = 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 19 = -5*r, -4*x + 6 + 2 = -r. Let b be x*-2 + 10\/6. Let o = 489\/4 + -10261\/84. What is the second smallest value in o, 3, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 2*q - 5*j, 0*q = -5*q + 5*j + 150. Differentiate 70*f + 27*f - 627 - q*f + 642 wrt f.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 6, -3, 5091\/7?\nAnswer: 5091\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/((-42)\/(-7)) + 14.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3 + (2 - 3 - 5)*(16 + 3 + 1) - 3 + 0 + 6)*(-1 - 2*j + 1).\nAnswer: 228*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0*l + 3*l + 2*l)*(-7*l**2 + 16*l**2 + 85*l**2) in the form w*l**2 + d + b*l + a*l**3 and give a.\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 4. Let h be (-1)\/(1\/(-7)) + -1. Let s = -7 + h. Let y(r) = -3*r**2 + 4*r - 4. Let b(t) = -t**2 + t - 1. Give s*y(x) + w*b(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u + 35 = 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1*26\/(-13))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.521 * 0.4.\nAnswer: 3.4084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 0)\/(15\/1845). Let t = h + -244. What is the second smallest value in -5, t, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 5*x - 14. Suppose -x*n + 14*n = -25. Suppose -n*b + 184 = -b. List the prime factors of b.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 335?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13869751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -549*k**2 - 1093 + 550*k**2 + 202*k + 1093 in the form m*k + f*k**2 + y and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 0*f + 0*f**2 - 41\/3*f**3 - 93\/4*f**4 - 42. What is the third derivative of i(u) wrt u?\nAnswer: -558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -22*h - 125. Suppose 13 + 53 = 3*g. Calculate the remainder when g is divided by b(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/15)\/(8\/(-100)). Let u = h - -12. Let c(k) = -12*k**2 - 9*k - k**3 + 4 + 7 + 5*k**u + 2*k**3. Determine c(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 - 424*n - 2612. Calculate p(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -q - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4360\/(-6558) - 6\/(-9). Let k = j + -7671\/10930. Calculate the common denominator of k and -91\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.0606 * 0.2234\nAnswer: 2.91773804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9301819mm in centimeters?\nAnswer: 0.09301819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009189082 to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1855 - -3555?\nAnswer: 4daa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/14 + (-172)\/(-14). Let p = -5 - -6. Let c be (45\/(-10))\/(p\/(-8)). What is the highest common divisor of o and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-1)*246\/984.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -396*w + 188*w + 10*w**3 + 80*w**2 + 205*w to the form f + z*w + a*w**3 + d*w**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 459965 to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1738082*a**3 + 869126*a**3 + 868962*a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154 by -129.\nAnswer: 154\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 206460?\nAnswer: 1032300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 394284.6 centuries in millennia?\nAnswer: 39428.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*t = 73, -2*n - 2*n - 103 = -3*t. Let u = -8 - n. Let z(i) = 5*i + 14*i + u*i - 41*i. Let y(s) = s. Give z(y(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26\/(((-25)\/(-170))\/5). Suppose r + 0*k - 211 = -2*k, -l = -4*r + 2*k. Calculate the remainder when r is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4340, -4379, -4422, -4469?\nAnswer: -4520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/sqrt(112))\/sqrt(5).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 445565, 891105, 1336647, 1782191, 2227737, 2673285?\n\"Answer: i**2 + 445537*i + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -11*x - 27. Let g be h(-3). Let k = -7.4 - -7. Let r = -2403 - -2398. What is the third smallest value in r, k, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 130 + -131. Is 2 + 2052 + -1 + (o - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 312 and 4781592.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8403 + 4?\nAnswer: 8407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -106389204*i**3 - 19207269 wrt i?\nAnswer: -319167612*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 40 + 5. Put 1, 6, -5, i in decreasing order.\nAnswer: 6, i, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/16466625 and 97\/516.\nAnswer: 2832259500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228 and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-4))\/(-1 + (-11 - (-1526)\/126)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -15*x**3 + 11*x**2 - 11*x. Let v(d) = -5*d**3 + 4*d**2 - 4*d. Suppose 8 = -2*o - 16. Let t = -8 - o. Give t*j(m) - 11*v(m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1310421*k**2 - 158622986?\nAnswer: 2620842*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 8*b - 10. Let v be t(-10). Let h be 4\/v + 150010\/(-25). Round h to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-93)\/(-2))\/(-31))\/(((-630)\/(-140))\/(12\/23))?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1 - (2 + -5)) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 383*b**3*d*s**2 + 2*b**3*s**3 - 610935*b**3 + 8*b**2*s**3 - 77143*d*s**3 - s wrt d.\nAnswer: 383*b**3*s**2 - 77143*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + y + 2. Let s(j) = -4*j**3 - 2*j**2 + 2*j - 1. Let p be s(1). Is 11 a factor of h(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + sqrt(637)*1 + 1 + sqrt(637) - (sqrt(637) + (sqrt(637) + -5*(sqrt(637) + 1*sqrt(637) + sqrt(637)))**2)) + 3.\nAnswer: -124848 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - ((0 + sqrt(288) - sqrt(288)) + sqrt(288) + sqrt(288)))*-3.\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59152\/15 - -8769931\/2220. Let h = 4\/111 - w. What is the common denominator of h and -34\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -233 - -357. Let o = z + -125.18. Let k = 20.78 + o. Round k to zero decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -48. Suppose 192 = -b*x + 17*x. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 15 - (16 - 1) - -31.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 10*t + 2. Let z be i(9). Let q(r) = -1 - 5 - 11*r**2 - 10*r - r**3 - r**3. Is q(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 595521?\nAnswer: 595520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/1 - 5*7\/105*-12. Let m(p) be the third derivative of 16*p**2 + 2*p**3 - 17\/24*p**4 + 0*p + n. Find the first derivative of m(q) wrt q.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32976427*j**4 + 3*j**2 - 11484715*j - 2 wrt j.\nAnswer: 395717124*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 13*c**3 - 12. Let g be (-5)\/((-15)\/9)*244\/(-6). Let t = g - -144. Let i(p) = -p**3 + 1. Give t*i(y) + 2*u(y).\nAnswer: 4*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1285.\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.16 in -0.2, -7, -0.02, 0, -14\/9?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 4\/8)*-4. Let i be 120\/32 - (y + 14\/8). Let k = -36 + 37. Solve -k - 11 = -i*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 3 = 9, -2*t - 3*w = 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/101 or -6698?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(704) + -1 + -3)**2*-5.\nAnswer: -800*sqrt(11) + 17700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0*k*k*k)**22\/((k**(-4)\/k)\/((k\/(k\/k**7))\/k)))\/(k**(2\/9)*(k*k\/(k*k**(8\/5)))\/k*k*k*k**(4\/5)*k*k*k*k**6) assuming k is positive.\nAnswer: k**(2996\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2085 or -2083?\nAnswer: -2083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/21)\/((-14)\/(-196)))\/((-300)\/(-18)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/6 and -28\/165?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 - t**3 - t**5 + (-2*t**4 + 0 + 0)*(-1 + 1 - 2*t) + t**5 + t**5 - 4*t**5 + 1 - 1 + 2*t**5.\nAnswer: 3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/23 (b) -16 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3277*m + 1074*m = 39654 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59565 and 660?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**4 + 76240*n**3 + 228696*n**2 + 228688*n + 76228 = 0?\nAnswer: -19057, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6153546453?\nAnswer: 3, 29, 311, 467, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9576.906 months to millennia.\nAnswer: 0.7980755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in -5085, -0.2, 6\/11, -5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m**2 + 2*m**2 - 2*m**3)*(-3 - 2 + 6) + (-4*m**2 + 9*m**2 + 10*m**2)*(-3*m - 3*m + 5*m) as p*m + w + y*m**2 + n*m**3 and give n.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 1. Let r(i) = 2*i**2 - 11*i + 1. Let m(o) = 3*l(o) - r(o). Suppose -555 = x - 564. Is m(x) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -255 - -257. Which is the smallest value? (a) -0.003 (b) 0.5 (c) o (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 2*b + 3*b)*(5*b + 2*b - 4*b)*(3 - 2 + 4).\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.5, -0.2, -2\/16141 in decreasing order.\nAnswer: 5, -2\/16141, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 12. Let k be ((-5)\/m)\/((-9)\/27). Suppose 2*s - k*v = -6, 3*v - 1 = 5. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3315911476 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i + 9. Let s(a) = 3*a - 4. Let j(p) = 14*p - 10. Let g(x) = 2*j(x) - 7*s(x). Calculate 5*b(k) - 6*g(k).\nAnswer: -7*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1317.6 (b) 0.2 (c) -2\/9 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2 + 4*l**2 + 2*l - 6*l**2 - 2*l. Let z(q) be the third derivative of 0 - 1\/3*q**3 + 0*q + 0*q**4 - q**2 + 1\/30*q**5. Give 6*m(i) + 5*z(i).\nAnswer: -2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.06299 and 29\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-21))\/(30\/(-35))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515322?\nAnswer: 2, 3, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -10. Let u = t + -5.2. Is u not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*y - 10, 4*n + 3*y = 7. Suppose -s = 0, 4*u - u = -n*s. Suppose u = -5*d - 4 + 34. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38 + -657736.8.\nAnswer: -657698.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-80) + 192\/10. Suppose y*b + 5*b = 528. Calculate the remainder when 141 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 220 = -r - 1253, 3*b = r + 4421. Does 25 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/54)\/((-17974)\/1881)*3.\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -67*m**2 + 10840*m + 2268. Determine f(162).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9838974 divided by -6.\nAnswer: 1639829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517 is divided by 87.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*c + 3890 = -50*c - 605 - 983 for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77 - 88 - (1 - 19) - 25?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 6148 = -65*y + 60*y, 5*h + 6140 = 5*y. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 56856.\nAnswer: 56856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/341, -1\/11, -1\/9, -2\/5, 24 in decreasing order.\nAnswer: 24, 2\/341, -1\/11, -1\/9, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**2 + 15 - 2*r**2 + 17*r + 0*r**3 - 12*r**2 + r**3. Suppose 4*k + 44 = 3*f - 24, -2*k - 10 = 0. Does 6 divide q(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/(u*u**(1\/2))*u))**(-1\/34) assuming u is positive.\nAnswer: u**(1\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2*i + 152, 2*i = -1 - 3. Let g = -43 - x. Let n(k) = -3*k**3 - 6*k**2 - 5*k - 3. What is the hundreds digit of n(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 + 87. Is a at most as big as 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - k**2 + k. Let a be m(-2). Suppose a*d + d - z - 12 = 0, 0 = 5*d + 5*z. Solve 2*u - 3 = d*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 32?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(-5) + (-276)\/(-5) is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -217284*a**2 + 2*a - 20. Let d be o(18). What is d rounded to the nearest one million?\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.28 - 175.72. Let m = z + 175.9. What is the nearest to 0 in m, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, y: 9}. What is prob of sequence sys?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 22612*m - 345. Is p(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*f + 1)*(5 - 26 - 9) to the form r*f + l and give r.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/51 - (-300)\/(-51) - -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-six fifths of a decade?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33595, -33355, -32953, -32389, -31663, -30775, -29725?\nAnswer: -28513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000111100 - 10011101100011110?\nAnswer: -10100011101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4 + 18*z**3 + 48*z**2 = 0 for z.\nAnswer: -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 3:16 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624 is divided by 61.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6857016, 6857020, 6857026, 6857034, 6857044, 6857056?\nAnswer: 6857070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-8)\/z*z)\/z*z**(-6)*z*z**(-5)\/((z*z**(1\/8))\/z) assuming z is positive.\nAnswer: z**(-153\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.11 + -0.29. What is the fourth biggest value in -2, -4, l, -1\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4266*m**2 - 34470*m.\nAnswer: 8532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 plus 98304?\nAnswer: 98830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from {o: 2, u: 1, s: 1, r: 1, p: 1, t: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1498*f**4*l - 12*f**2 - f*l**2 - 33671*l**2 + l + 7 wrt f?\nAnswer: -5992*f**3*l - 24*f - l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08646 + 0.08. What is w rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 396 and 11?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -385*u - 5. Let f be 5 - (-2)\/(-8)*0. Let r be 10\/f*(-3 + 0 + 1). Is z(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1049 and 0.3?\nAnswer: 314.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, z: 7}. Give prob of picking 4 z.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 32 (c) 0.4 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7096*d*i**3 - d - 22410*i**3 wrt d?\nAnswer: -7096*i**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -19*b + 8*b. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7940207 to the power of 1\/2, to the nearest integer?\nAnswer: 2818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19757713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.32 - 7.32. What is the third biggest value in u, -2, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -16, -21, -28, -37?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 40*j + 340. What is l(-13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j. Let c(l) = -447038*l**2 - 3*l + 1. Give s(c(y)).\nAnswer: -894076*y**2 - 6*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbwbhowbkk. Give prob of picking 1 h and 2 b.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5512*g**3 + 5532*g**3 - 11088*g**3.\nAnswer: -44*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7571475*t + 6479824 wrt t?\nAnswer: 7571475","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -242 by 351514.\nAnswer: -121\/175757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*i - 145*i - 175*i + 518. Find r such that 5*r**5 - 5\/2*r + 0 + 15\/2*r**3 + 25\/2*r**4 - 5\/2*r**i = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20255 + 60766\/3. Let k(b) be the second derivative of 17\/18*b**3 + 0 - 17*b + d*b**2 - 19\/36*b**4. Find v such that k(v) = 0.\nAnswer: -2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 5, 3 in increasing order.\nAnswer: 3, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37.6 - -36.9. Which is the fourth biggest value? (a) j (b) 5 (c) 0.3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w + w**2)*(255*w - 16*w**2 + 208*w - 669*w).\nAnswer: -16*w**4 - 206*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1660771 - -100?\nAnswer: -1660671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m**(2\/9)*m)))\/m**(-1\/4)*((m\/((m\/(m**(-1)\/m))\/m))\/m)\/(m\/(m*m**(-4)*m)))\/(m**(-1\/8)\/(m\/(m*(m\/m**(-2))\/m*m)))**(1\/60) assuming m is positive.\nAnswer: m**(-5149\/1440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/5 - 1131*j**2 - 11307*j\/5 - 5653\/5 = 0. What is j?\nAnswer: -5653, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13068\/14977 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**5 + 351*n**4 - 41067*n**3 + 1601613*n**2 = 0.\nAnswer: 0, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1110 (base 2) to base 14\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 1. Let l(r) = r**2 - r - 10. Let v be l(-3). Suppose 0 = -v*m + o. Calculate the greatest common factor of 7 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66 - -82. Suppose h - 18 + l = 0. Let s be 1\/21 + (h\/3 - 1). Which is smaller: -2\/17 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 60774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/20)\/((-4)\/48). Let k = 80 - 77. Let i(o) = -c + 5 - 6 - 2*o + o**k + 5*o**2. What is i(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -67, -73, -77, -79?\n\"Answer: v**2 - 9*v - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1155 is divided by 583.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -21*(9\/3)\/((-45)\/(150\/(-10)))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 917791807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5208 is divided by 2590.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 4, h: 1, x: 1, t: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7385 or -7397?\nAnswer: -7385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 53, 109, 177, 251?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -233, -348, -463?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4942 and 806568.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.07 (b) 3\/8 (c) -3\/4 (d) -27 (e) -1 (f) 422\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -0.1 (b) 11 (c) 5 (d) -1 (e) 13\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**3\/8 + 9*z**2\/16 - 3*z\/4 - 110. Factor q(y).\nAnswer: -3*(y - 2)*(y - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 205 + -a?\nAnswer: 1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 5, -5, 0, 11, 4, -297 in descending order.\nAnswer: 11, 5, 4, 0, -5, -16, -297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -417, -404, -381, -348, -305, -252?\n\"Answer: 5*f**2 - 2*f - 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x + 2*x - 20*x + 11*x - x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97\/4 - -24. Suppose -7*h - 4*x + 37 = -2*h, -9 = -3*h + 2*x. Which is the nearest to -1\/2? (a) 2\/5 (b) v (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60\/1 + (-2)\/(-1)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + a + 3*a**3 + 0*a**3 + 3*a**3 + 0*a**3 + (4*a - 4*a - a**3)*(-2 + 1 - 1) - 14*a - 3*a**3 + 1 + 14*a + (-a + 2*a - 2*a)*(0*a**2 - 3*a**2 + a**2).\nAnswer: 7*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9152, -9151, -9150, -9149, -9148, -9147?\n\"Answer: p - 9153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*o**2 - 2*o**3 - 26*o - 56*o**2.\nAnswer: -2*o**3 - 26*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -3)*20\/4. Suppose -h + 5*n = -3*h + 35, c*n + 10 = h. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -96*t**2 + 13*t + 5. Let j(u) = -55*u**2 + 7*u + 3. Let f(o) = -4*c(o) + 7*j(o). Let n be (-22)\/5 - 4\/(-10). What is f(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 641 + -434. Let c = 183.2 - x. Let d = c - -24. Sort d, -5, -0.1 in ascending order.\nAnswer: -5, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.5? (a) -4\/11 (b) -1.5 (c) -4\/9 (d) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7572363ml?\nAnswer: 0.0007572363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -482*h**5 - 9*h**3 + 43*h**2 - 354*h - 69.\nAnswer: -9640*h**3 - 54*h + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 847924*q**5 + 7*q**2 + 7299*q - 3.\nAnswer: 50875440*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20392\/1057 or 20?\nAnswer: 20392\/1057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/685 + 8206\/4795. Suppose -8*m = -5*m - 6. Suppose -m*w - 2 = -3*w. Is f less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 14*r**2 + 2238*r - 305. Let i be j(-160). Let v(w) = 3*w - 3. Let n be v(4). Solve n*t - 6*t = i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33 + 62576317.\nAnswer: 62576350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/4))**(-9\/5)*(m**3\/m)\/(m**(-1\/4)*m)*((m*((m\/(m\/m**(-1\/5)))\/m)\/m*m)\/m)\/(m\/m**1)*m**(1\/3)*m**(-4\/5) assuming m is positive.\nAnswer: m**(1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 194104 greater than 194103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/19 + 1 + (-63)\/57. What is the remainder when 15 is divided by m\/((-12)\/114) + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -5. Let z be (-3)\/u + (-38)\/(-4). Suppose -1 = m - 2*y + 5, 3*y = z. What is the third smallest value in 2, -1\/5, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 41*i**2 - 1\/24*i**4 + 0 + 0*i - 9*i**3 - 7\/4*i**5. What is the second derivative of o(d) wrt d?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -1, -0.03, 3, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b + 89 = -541. Let y be 75\/b - 3\/9. Put 103, y, -1 in increasing order.\nAnswer: y, -1, 103","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((-6)\/(-184))*556\/(-16). Suppose 22*b + 755 = m. List the prime factors of b.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 4*n - 15, 2*l + 10*n = 5*n - 9. Calculate the lowest common multiple of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millisecond in microseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 31*i - 33*i. Let o be i*(-21)\/(-28) + 1. Sort 38, o, -3 in ascending order.\nAnswer: -3, o, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1078*-200359.\nAnswer: 215987002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122002 (base 8) to base 3.\nAnswer: 2010121001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ad94 + -5?\nAnswer: ad8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 2396 - 23596 = -14*l. Does 20 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.13 - -2.649.\nAnswer: 2.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3024)\/(-882)*(504\/16)\/9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**9\/252 + f**5\/10 - f**2\/2 + 6. Let z(w) be the second derivative of m(w). Find the third derivative of z(g) wrt g.\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12153626 + -0.079\nAnswer: 12153625.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a factor of 1024269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, e: 3, r: 10, a: 2}. What is prob of sequence ea?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -15*5\/(-15) + 5. Suppose -k*o = -5 + 25. Let q = -4.6 - -5. Which is the third biggest value? (a) o (b) q (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -97, -5, -2, 7, -3 in descending order.\nAnswer: 7, -2, -3, -5, -7, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 30*a + 1971. Determine c(-69).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.3. Let g = r + 5. What is the second biggest value in -5, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2884\/5 + 578. Which is the closest to 1? (a) -2\/3 (b) l (c) 4 (d) -0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 28, 1\/6, -7, 3, 0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1006 + 185?\nAnswer: 1191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6 - -13.6. Let d = k - 18. Let r = d - -11. Sort -4, 3, r in descending order.\nAnswer: r, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*v**3 - 59*v**3 - 9*v**3 + 121*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 35*f**2 - 35*f - 23. What is x(34)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -36, -101, -224, -423, -716?\nAnswer: -1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 + 9. Let t(q) = -3*q**2 + 17. Calculate 5*j(y) - 3*t(y).\nAnswer: -y**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4782, -4781, -4780, -4779?\nAnswer: -4778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4 + (sqrt(2548) - (1 + sqrt(2548))) + sqrt(2548) + -3*sqrt(2548)*-1)**2.\nAnswer: -560*sqrt(13) + 40793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**2 + 8*u**4 + 3*u**3 + 9*u**4 - u**3 + 7 - 19*u**4 as y + h*u**4 + r*u**3 + x*u**2 + a*u and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 2*n - 2341 + 2300, -n + 28 = 3*i for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13842\/76900)\/(((-18)\/(-15))\/2).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 35 = 50. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31059, -31065, -31081, -31113, -31167, -31249, -31365?\n\"Answer: -l**3 + l**2 - 2*l - 31057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 140\/19 + -382\/57. Which is the nearest to -3? (a) f (b) -4 (c) 5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -5 (b) 0.8 (c) 1\/6 (d) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 144, 196, 324, 534, 832, 1224, 1716?\n\"Answer: n**3 + 32*n**2 - 51*n + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d - 5. Let r be l(10). Let b(o) = 5*o + 56. Let x be b(-16). Let w = x + r. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12510.0355 (b) -0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkytykkktttktyky. What is prob of picking 2 t and 1 y?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 0)*(-1 + 1 + 2)*(4*u - 7*u + u) - 5 + 2*u + 5 to a*u + g and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63\/2 or -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 11*i - 4. Let f be l(-8). Suppose w + 4*w + f = 0. Let t be (-1310)\/(-15) - w\/6. What is the greatest common factor of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -922061 or -921939?\nAnswer: -922061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 85*p - 161. Let y be b(2). Sort 2, y, 5, 0.\nAnswer: 0, 2, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 165*l**2 - 794*l + 958. What is j(-160)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzunwwws. What is prob of picking 1 n, 1 z, 1 s, and 1 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + 4*f - 6*f as y + a*f and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i + 2. Let w(l) = -6*l + 10. Let t(f) = 6*f - 11. Let r(k) = 3*t(k) + 4*w(k). Suppose 4*d - 18 = 6*d. Let c = d - -2. Give c*a(n) + 2*r(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -1339328.\nAnswer: 1339333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 33, 24, 35, 72, 141, 248, 399?\nAnswer: 600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 44*t + 41*t = -28, 3*t - 20 = 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (113\/((-226226)\/132))\/(-3 - 256\/(-84))\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2708516, -2708518, -2708524, -2708534, -2708548, -2708566, -2708588?\n\"Answer: -2*l**2 + 4*l - 2708518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*y - 9. Let q = 2 + -14. Let f be q\/(-3)*12\/16. Solve -f*o + 6 - 3 = 0, -4*o = y*u + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/7 + -2)\/(3\/7)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 2*l - 334, 71 = -3*k + 4*k - l. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14003?\nAnswer: 11, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 e when two letters picked without replacement from oyeeamsases.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00039111 to 5 decimal places.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2902906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 23 = -4*z, 2*z + 0*p = 4*p + 2. Calculate the common denominator of 7\/2 and z\/(-20)*134\/(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + ((-2*sqrt(19) + 5)**2 - sqrt(19)) + 3*(sqrt(19)*-2 - sqrt(19)) + (1 + sqrt(2299) + sqrt(2299) + -5)**2).\nAnswer: -46585 + 1030*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.2, 12, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (12 + -5 - 6) - -12) + -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffcccfffcffccffccfc. Give prob of sequence ff.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3090107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - b**2 - 5*b + 6. Suppose 26 = -13*j + 78. What is z(j)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 16, y: 1, u: 3}. What is prob of picking 3 u and 1 y?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g**3 - 2*g**2 - 9*g + 7. Let m(h) = 1 - 4*h - 2 + 5*h - h**3. Let t(w) = -5*m(w) - z(w). Let i(n) = -n**3 - n + 3. Let x be i(0). Calculate t(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4859051.\nAnswer: 173, 28087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -17 (b) 0.2 (c) 2 (d) -1.43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 759 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6155153 (base 7) to base 4\nAnswer: -2303303330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 7*q**2 - q - 5. Let d be n(-7). Suppose 5*h + d*r - 6 = 114, -2*r + 10 = 0. What is the smallest common multiple of 28 and h?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5 = 6. Let n = v + 4. Suppose 4*c - 15 = c. Solve -5*s + c*l - 10 = -0*l, -n*s - 5*l = -20 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -7*l**3 + 345*l**2 - 58*l - 285. Let p be q(49). Is p <= 1678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*d - v - 23, 3*d + 3*v = 18. Solve -6*j - 11 = d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506 a factor of 30363764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4111788?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 41 - 6a107?\nAnswer: -6a0b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 29 (b) -34 (c) 3 (d) 2\/27 (e) -3 (f) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1168 is divided by 84?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, k: 1, u: 1, d: 2, z: 2}. Give prob of sequence duk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - (4 + -3)) + 9 - 96. Let r(c) = -20*c - 11. Let w be r(4). Let h = w - t. Sort 3, h, -3 in ascending order.\nAnswer: -3, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5 = 5*m, -4*m + 3*a = -3 + 4. Suppose -4*c = 6 + 14. Which is greater: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31.9 - -31. Let w = u + 2.9. What is the third biggest value in -2, w, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(1460\/(-36))\/(-5). Let m = d - -25. Which is smaller: m or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -450 + 451. Which is the closest to -15? (a) 5 (b) 2\/3 (c) 2 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*sqrt(76) + 5 - 5*(sqrt(76) - (sqrt(76) + sqrt(76)*3))).\nAnswer: 2 + 26*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q - 230. Suppose q = 5*m - 14. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - (-11 - -15) - (7 - -7).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 100010?\nAnswer: -100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14446 - 2020?\nAnswer: -16466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2 + 21*g + 15. Let k be f(7). Let q be k\/(-6) + 80\/(-32). Let b(i) = -6*i**2 - 14. Let d(r) = 4*r**2 + 9. Determine q*b(o) - 8*d(o).\nAnswer: -2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -9*c**2 - c + 1. Let d be j(2). Let s = 72 + d. Let v(r) = 3*r - 3. Calculate the remainder when s is divided by v(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.95 + 9. Let b = -0.55 + j. Is b <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k**5\/19 - 230*k**4\/19 - 1384*k**3\/19 - 2136*k**2\/19 + 2880*k\/19 = 0 for k.\nAnswer: -8, -6, 0, 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411*d - 73 + 62 + 425*d - 838*d + 11.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 969*v**2 - 563*v**2 - 558*v**2 + (4*v**2 + 5*v**2 - v**2)*(3 + 3 - 2 + (-5 + 3 + 1)*(-5 + 2 + 2)) in the form l + r*v**2 + y*v and give r.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**4 - 8*o**3 - 193*o**2 - 32468*o wrt o?\nAnswer: 24*o**2 - 48*o - 386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 211376 to the power of 1\/2, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 63 in -2\/85, -3\/17, 2\/13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 = 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/81772900 and 113\/220?\nAnswer: 81772900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 44383\/89 less than 499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53116579811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -1.1. Let s = 473\/5 + -94. Which is the smallest value? (a) -0.2 (b) s (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a3 - 1bb?\nAnswer: -25e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(833) - sqrt(833))*6 + sqrt(833) + sqrt(833) + 4 + sqrt(833) + 1 + ((sqrt(833) + 0)*-6 + ((-1 + sqrt(833))*1 - sqrt(833)))*2)**2.\nAnswer: 1134*sqrt(17) + 67554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -181 (base 10) to base 5.\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 24 = j, 265*c - 3 = -3*j + 268*c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9360, -18734, -28108, -37482, -46856, -56230?\nAnswer: -65604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - u = -2*u - 3, -b - 4*u = 12. Let f(r) = r + 7. Let t be f(-6). Let k = 8 + t. Solve b*c + k = -3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3 + 423*v**2 + 1278*v = 0. What is v?\nAnswer: -3, 0, 426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67672 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/3 (b) -2 (c) -331 (d) 3\/5 (e) 2\/7 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -33. Let s(a) = a**3 - 12*a**2 + 11*a + 3. Let l be s(h). Suppose 4*f - 262 = l*o, -2*o + 0 = -4. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 366 = 12*k + 399, 35 = 4*j - k for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -58 and -61.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -0*l - 12. Suppose -m = -4*a + 15, 4*m - l*a - 16 = -6*a. Let p(s) = 3*s**3 + s. Let i be p(m). Solve -i*c - 12 = 0, 5*w + 0*w - 2*c = 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*q + 85516 - 83572 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 401.9854nm in micrometers?\nAnswer: 0.4019854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1921, 3871, 5739, 7477, 9037, 10371?\nAnswer: 11431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 i, and 1 a when three letters picked without replacement from {f: 1, t: 7, i: 3, a: 4, z: 2, s: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from ssszsssszwssss?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjj. Give prob of sequence jjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (48\/32)\/((-6)\/8) + 1. Let h be 1\/(-3) - (-4)\/(-6). Do m and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1396 is divided by 1129?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k = -14*k. Let i be 1 - -39 - (k - -4). Suppose 3*h = 90 + i. Calculate the remainder when 81 is divided by h.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1313401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 3*f**2 - 8*f - 7. Let d be u(-5). Let v(a) = -a**2 - 16*a + 14. Let j be v(d). List the prime factors of 2*j\/((-18)\/69).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-3 + (-7)\/(-182)*1).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1520 - 1499. Solve 13*l + 8 - z = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n. Let b(x) = -3*x + 47492. Give s(b(y)).\nAnswer: -3*y + 47492","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 + -1.5. Let a = -1 - s. Let r = a - -0.3. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-9))\/(j\/j**3)*j\/j**(3\/2)*j**4)**(-22) assuming j is positive.\nAnswer: j**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.918 + 0.082. Suppose 2*j = -5*v + 15, 0 = -2*v - j + 4*j - 13. Let q be (v - (-1 + 2))*1. What is the closest to 2\/3 in q, 0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**5\/3 + 4472*l**4\/3 - 4484*l**3 - 40312*l**2\/3 - 22390*l\/3 = 0.\nAnswer: -2239, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 + (-3596)\/(-145))\/((-1)\/95)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 46 + 27 - 9*d - 4*d - d + 22. Is q(6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-210))\/(((-42)\/49)\/3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 53d + -6?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 327 divide 1327620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001236 rounded to six decimal places?\nAnswer: 0.000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/3 and 40\/6613.\nAnswer: 19839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.06 - -0.06. Let d = 5.46 - 1.41. Let t = d + -0.05. What is the second smallest value in t, -1\/6, j?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 44*k**3\/3 + 59*k**2\/2 - k - 123. What is the thousands digit of n(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 988644191?\nAnswer: 29, 1759, 19381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 8:14 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 4, 0.138, 2\/7?\nAnswer: 0.138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - -46) + -1 + -24 + 1 - -43\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 2, 4, -3, 136, -2 in descending order.\nAnswer: 136, 16, 4, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 3*u - 118, 70*t + 5*u = 65*t - 7*u - 485 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + 3.8. Let n = 11 + -11.8. Let m = z - n. What is the nearest to 1 in 5, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 25 = -0*f. Suppose q - o - 20 = 3*o, -q - f*o = -11. What is the lowest common multiple of q and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 123727240 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7811882, 3, -2\/7?\nAnswer: -7811882","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2359635 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 1) + -1 + -11 + 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*(3*sqrt(425) + sqrt(425)))**2 + (sqrt(425) - (sqrt(425) + 0 + sqrt(425))*-5)**2.\nAnswer: 112627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -11) + (0 - (2 + -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.50882491 + -33268788.50882491. Let x = b + 33268759.999983. Let j = x - -28. What is j rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -13*k**2. Let c(x) = -9*x + 8. Let v(o) = -55*o + 50. Let d(r) = 25*c(r) - 4*v(r). Give d(n(l)).\nAnswer: 65*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 774097.95 to the nearest one hundred.\nAnswer: 774100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + sqrt(19) + 2 + -2 + sqrt(19) + 3 + (sqrt(133) + 2*(sqrt(133)*1 + sqrt(133)))\/(1*sqrt(112)).\nAnswer: 2 + 13*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 + -39. Suppose b - 82 = -2*w. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, 4, -5, -3 in ascending order.\nAnswer: -16, -5, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -806.045 (b) -0.09 (c) 4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22 - 897\nAnswer: -875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - g. Let y be j(1). Let k(i) be the third derivative of 15*i**4\/8 - i**3\/6 + 52*i**2. Is 31 a factor of k(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1. Suppose 21 - 36 = 5*o + 2*d, -d = 5*o + 15. Which is smaller: o or k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1281\/11? (a) 0.2 (b) 2 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(9\/3) - 15\/90.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - a - z + 2 = 0, 15*z - 2 = 14*z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**2 - 5*h + 15. Let w(c) = 6*c**2 + 6*c - 15. Give -4*j(z) - 3*w(z).\nAnswer: -2*z**2 + 2*z - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 56, 217, 486, 863, 1348, 1941?\n\"Answer: 54*g**2 - g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 149, 1178, 3971, 9410, 18377?\n\"Answer: 147*v**3 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -37*z**5\/60 + 8*z**2. Let k(l) = 20307 + l + l - 20307. Give k(b(m)).\nAnswer: -74*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 11*q - 19. Let t = -4018 + 4023. What is z(t)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 2, -1160, 1, 3 in decreasing order.\nAnswer: 4, 3, 2, 1, 0, -1160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284*i + 1764 = -263*i. Solve 0 = -t + 29*t + i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -28, -9, 32?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from jjikiijjkikjj.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, -45, 1, -9, 6 in decreasing order.\nAnswer: 8, 6, 1, -4, -9, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f + 6. Suppose -j = -3*t - 2, -5*j - 22*t + 28 = -19*t. What is y(j)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 61, 52, 37, 16?\n\"Answer: -3*o**2 + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -51*d**4 + 295 + 73*d**4 - 18*d - 28*d**4 wrt d?\nAnswer: -24*d**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5 + sqrt(180)*-1 + -2*-2*sqrt(180))*4.\nAnswer: 17 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*1 + sqrt(612)*-1 + 1*sqrt(17)*1*-2)**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 8 = -4*s, 2*s = -4*v + 1 + 15. Suppose m + 4*a = -a - 19, -3*a = 4*m + 8. Sort 0, m, -2, s in increasing order.\nAnswer: -2, 0, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z**2 - 198*z - 798. What is h(-35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.625001049 - 1.625. What is a rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4872 and 4872.\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 26*s**2 + 55*s - 706. Let h be l(25). Solve -h*p = -13*p + 31 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266.276006 rounded to two dps?\nAnswer: 266.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z + 5 - 5*z + 2*z**2 + z + 11. Is c(8) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 30*r**2 - 19*r - 45. Let w = 120 + -91. List the prime factors of x(w).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**5\/3 + 56*a**4\/3 + 100*a**3\/3 + 16*a**2.\nAnswer: 4*a**2*(a + 1)**2*(a + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/170 and 64\/145.\nAnswer: 4930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20597322 and 0.07.\nAnswer: -20597321.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {p: 12, b: 6}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 770039?\nAnswer: 770039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1945 and -1946 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -23. Suppose -y - 4 = -7. Suppose 38 + 25 = y*q. What is the remainder when q is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 3, -586 in decreasing order.\nAnswer: 3, 2, 0, -586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 17 = -2*k, -4*v = k - 3*v - 16. Let y = -18 + k. Let i be 12\/42 - 68\/y. Which is greater: i or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -994*f + 747. Is w(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 12:03 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4*h - 5*h + 3*h.\nAnswer: -6*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**5\/140 + 8*w**4\/21 - 11*w**3\/14 + 60*w. Factor k(n).\nAnswer: n*(n - 1)*(n + 33)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 30, 0.1, -2\/53?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -118371 - -118369.90002. Let n = -1.1 - h. What is n rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5346 and 2754?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 0 + 0*y**3 + 3*y**2 + 0*y + 1\/24*y**4. Let s(i) = -7*i. What is s(g(x))?\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15539*r**4 - 11773*r**2 wrt r.\nAnswer: -372936*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.07, 4, 66\/5, -1\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -6, 7, 5 in increasing order.\nAnswer: -6, -4, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4227951 to the nearest integer?\nAnswer: 2056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 14\/(-3))*9\/(-6). Let i be (-6)\/f + (-5 - -2)\/(-3). Which is smaller: i or 7\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 354074*l**2 + 161840?\nAnswer: 708148*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - 17. Let t = h + 21. Let r be 16\/42 + 6\/t. Which is the closest to r? (a) 0.3 (b) 1\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1744 is divided by 1707.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5893 divide 1311498936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9976314973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6860 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**4 + 39508*v**2 - 156596*v - 1?\nAnswer: -24*v**2 + 79016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 169309 and 84.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4780 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15104 divided by 1888?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (91 + -41) - -43?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(2*2\/6). Suppose 11 = 7*n - 3. Solve z*m - 8 = -n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1742556.\nAnswer: 2, 3, 145213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 3*c - 3*c)*(-3 + 1 + 13).\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 3)\/(2*(-22)\/(-869)). Solve d = 15*v + 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -7*c + 53. Suppose -4*g + 15 = 4*d - c, 3*g = 5*d - 16. Suppose g*a - 3*i = 483, 2*i + 808 = 5*a - 0*i. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*y - y - 24, -2*c + 16 = -y. Let x = y - -44. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -515*w + 71021. What is i(138)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -18171*a + 23531445. Give y(1295).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/4*(-40)\/150. Let v be (-2)\/8 - (-22)\/(-120). Let c = q - v. What is the second biggest value in 1\/7, c, -2\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u = 34*h - 99, -3*h - 44 = -4*u + h for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b**2 + 31*b - 128. Give j(5).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18088.\nAnswer: 2, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -18. Let o = -1 - -2. Sort 0.4, o, a in descending order.\nAnswer: o, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/1*(-1 - 1). Let d be 0\/3 + 3*5. Suppose g*q - 5 - d = 0. Solve -3*j - 4*h = 7, -4*j + q*h = 2 - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 139*h**3 - 135.\nAnswer: 417*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1109596909?\nAnswer: 89, 163, 76487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6832 rounded to two dps?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, m: 5, n: 3}. Give prob of sequence mcc.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/3))**(-2\/65)*(j**(-2\/5))**(7\/10) assuming j is positive.\nAnswer: j**(-313\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**3\/3 - 9*i**2\/2 - 11*i - 3. Let l be f(10). Put l, 4, 0 in increasing order.\nAnswer: l, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-6)\/((-30)\/95). Suppose 13*f - p*f + 452 = 0. What are the prime factors of f?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/(-2*(-2)\/4). Let o(t) = t**3 - 11*t**2 - t + 15. Let z be o(n). Suppose -2*a = z*x - a - 6, x = -a. What is the highest common factor of x and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - k = -1488, 4459 = 3*i + 3*k - 5*k. Suppose -i = -19*f - 271. What is the smallest common multiple of f and 2?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7679.506 to the nearest 10.\nAnswer: -7680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 - 33*s - 117. What is t(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -89.\nAnswer: 13\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14547 is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 24. Does 2 divide (j\/(-7))\/(54\/(-252))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0 (b) -209 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 22761 and 113806\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17722?\nAnswer: 2, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p**2 + 165*p**3 - 57*p**3 - 37*p**3 - 104*p**3 + 5. Let v(u) = -1007*u**3 + 152*u**2 + 152. What is -152*o(t) + 5*v(t)?\nAnswer: -19*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1 + -2 + 1 + 6*(sqrt(80) + -3))**2.\nAnswer: -960*sqrt(5) + 3276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1655 = -w - 1147. What are the prime factors of w?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -2, 0.037, -1\/6 in ascending order.\nAnswer: -4, -2, -1\/6, 0.037, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*f - 363 + 372, 18 = 2*r - 4*f. Let s(u) = -u**2 + 6*u + 9. Let k be s(7). Let h(z) = -6*z**k + 0*z**3 + 3 + z**3 - z - z**2. What is h(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**7\/7560 - d**6\/2160 - d**5\/60 - 5*d**4\/12 - 5*d**2\/2 - 25*d + 2. Let h(w) be the third derivative of p(w). Factor h(i).\nAnswer: (i - 3)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.42*0.784\nAnswer: 0.32928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 7*b**3\/6 + b**2 - b. Let q(m) = -3*m - 1. Let t = 275603 - 275598. Calculate t*q(w) + 2*s(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 8:18 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**3 - 8*g**2 + 14*g - 5. Let m be a(-4). Factor 4*x**5 + 16*x**m + 13*x**3 + 8*x**3 - 45*x**3 - 4*x**4.\nAnswer: 4*x**3*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7050582 and 23247?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 7:04 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8862315 divided by 7673?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3237122165?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n + 20*n - 2 = 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4096)\/(-4608))\/((-4)\/342)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -250085714 and 1.\nAnswer: -250085713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426839*i - 426847*i + 853874*i.\nAnswer: 188*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2\/7 (b) 3\/2 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 344 - 320. Find the third derivative of u*m**2 + 65*m**2 + 22*m**5 - m**2 + 14*m**2 wrt m.\nAnswer: 1320*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 15*u**3 - 13*u**2 + 11*u - 9. Let h(y) = -7*y**3 + 6*y**2 - 5*y + 4. Let l(m) = -13*h(m) - 6*k(m). Let i be l(2). Sort 5, -2, i in descending order.\nAnswer: i, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-665)\/(-380)*(-12)\/476. What is the second smallest value in f, -3\/2, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 32 = 3*c, 15 = -0*c - 3*c. What is the remainder when 389 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + l. Let r be f(-2). Suppose 0*t + r*t = 96. Suppose -44 = -2*d + t. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*h + 52. What is the units digit of (h\/10)\/(6\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p - 33. Let s be t(-9). What is the first derivative of -s*z + 92 + 19*z**2 - 73 + 3*z wrt z?\nAnswer: 38*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2119567181?\nAnswer: 691, 3067391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/20)\/((-1)\/(-15)). Let g(v) = -v - 16. Let d be g(-18). Suppose 5*c - 10 = 0, 5*c - d = 4*q - 0*c. Solve p = -3*k + 3*u, k + q*k = -3*u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 395 + -396. Let b be (m*(-1)\/9)\/(4\/(-24)). What is the biggest value in 0.57, b, -3\/4?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 4, l: 3, u: 4, p: 2, z: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.9 + -6.9. Let j = -168\/5 - -657\/20. Which is the closest to -1? (a) z (b) -2\/9 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119 + -95. Calculate the remainder when 91 is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-7))\/((207\/(-9))\/3059)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*2*-5)**2.\nAnswer: 32500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*n - 144690 = 103*n. Is n a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 45*f**2 - 351*f + 368. Let p(w) = -3*w. Calculate t(p(h)).\nAnswer: 405*h**2 + 1053*h + 368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d - 22 + 22)*(-16*d + 124 - 124).\nAnswer: 96*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**7\/8820 + d**6\/2520 - d**5\/210 - d**4\/24 - 10*d**3\/3 + 37*d**2. Let u(o) be the second derivative of l(o). Factor u(z).\nAnswer: 2*(z - 1)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2469\/32 + -77. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.64264us in seconds?\nAnswer: 0.00006564264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/13 < 0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0907 and 0.3?\nAnswer: -0.02721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-20) - (-1 - 1\/(-2)). What is r in 0*r**2 - i*r**3 + 0 + 1\/5*r = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58*p**4 - 42*p**4 - 88 - 10*p**4 - 28 wrt p?\nAnswer: -440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/16)\/(8\/((-96)\/9)). Sort -0.21, -0.3, b in descending order.\nAnswer: b, -0.21, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (43 - 37) + 27 - (-2 + 0 - -7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -3\/2 (b) 1 (c) 27 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13389.86 years in months?\nAnswer: 160678.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -6. Let z be (4\/(-6))\/(1\/f). Solve -2*j = -j + z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2283?\nAnswer: 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 2*b + b - 402, -4*x - b + 545 = 0. What are the prime factors of x?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22076112 divided by -5519028\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**3\/3 + l + 10. Let h(f) = 101. Let m(z) = 177. Let s(g) = -7*h(g) + 4*m(g). Calculate -5*j(y) + 5*s(y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75\/2*l + 3\/4*l**2 - 1197\/4.\nAnswer: 3*(l - 57)*(l + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 698005448 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 463 and 114916600.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -77555 or -77569?\nAnswer: -77555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-64))\/((-6)\/8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -25 (b) 13 (c) -2\/21 (d) 1\/3 (e) 0 (f) -39\/2 (g) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4278*p**3 + 10*p**2 - 36*p + 12. Let x be b(13). What is x rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**4\/24 - 5*i**3\/3 + 23*i**2. Let n be j(-13). Suppose -o - o = 0. Solve 5*h + n*w - w + 19 = 0, 2*h - 3*w + 19 = o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/5932 and -5\/6.\nAnswer: 17796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + j. Let a(r) = r**3 + 2*r**2 + 9*r - 1. Let m(x) = -164*x - 1313. Let t be m(-8). Calculate t*a(o) + 2*k(o).\nAnswer: -o**3 - 7*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 50234.\nAnswer: -200936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-28 - 33)\/(-2*1 + (60 - 26))\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + z - 3 = 0, b = -3*z - 5 + 2. Let u = 19 - b. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36426875 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4374)\/63 - 6\/(-14). Let v be j*(1 + 0\/(-5)). Let i = 192 + v. List the prime factors of i.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6670*x**4 + 763*x**3 - 29322325*x**2 wrt x.\nAnswer: 160080*x + 4578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198274 - 118*s - 198274 + 573*s.\nAnswer: 455*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -639.471 rounded to zero decimal places?\nAnswer: -639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 7*n - 1. Let q be 52\/(-9) - (-14)\/(-63). Let z be j(q). Solve -y = -2*y - z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/11)\/u)**(6\/5)*u**(-1\/6)*u*u*u*u**(5\/4))**(5\/8) assuming u is positive.\nAnswer: u**(1759\/1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3629.9 - -3630. Is 1421 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -294 divided by 6\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -13, -7, 349, 4, -2 in decreasing order.\nAnswer: 349, 4, -2, -7, -13, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3594 - -979.\nAnswer: 977.6406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.94 and 0.02387.\nAnswer: -0.1656578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 93*r**2 - 2*r - 92*r**2 + 2*r. Let q(d) = 90*d**2 + 95*d**2 + 233*d**2. Calculate q(u(w)).\nAnswer: 418*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 12:17 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b*v**4 + 8*b*v - 2*v**4 + 38*v**2 - 3*v + 4 wrt v.\nAnswer: -12*b*v**2 - 24*v**2 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 12:11 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(2 + 20\/(-12)). Let v be (-40)\/s - (-4)\/(-6). What is the greatest common factor of 24 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -152130*w**2 + 1369167*w - 1. Determine y(9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1288 = 2*n + 3*w, n = -4*w + 244. Let h = -183 + n. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -w**8\/336 - 2*w**4\/3 + 21*w**2\/2 + 21. Let s(a) be the second derivative of k(a). Find the second derivative of s(f) wrt f.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*b**2*c**2*k**2 - 2*b**2*k**2 - 6*b*c**2 + 6*b*k**2 - 4*c*k**2 - 2*c wrt c?\nAnswer: -46*b**2*k**2 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2401314 a multiple of 1401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 13*m**2 + 27*m - 99. Determine z(12).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1846*v + 923*v = -834*v - 830*v + 110825 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*o - o + 144. Let x be (-108)\/45 + o - 3\/5. Determine q so that 96\/7*q + 36\/7*q**x + 116\/7*q**2 + 16\/7 = 0.\nAnswer: -2, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c = 27. Suppose -c = 5*y - 8*y. Let z(l) = -l**3 - 2*l**2 + 2. Let m be z(0). Calculate the greatest common factor of y and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o + 4 - 4)*(0*o - o - o)*(-1 - 3 + 2)*((3 - 6 + 4)*(-18 - 43 + 106) + (3 - 2 - 3)*(0 + 5 - 3)) to the form k*o**2 + f + v*o and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty ninths of a hour in seconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((1 + -3)\/2)\/4. Let x = -341.095 - -342. Let p = x + 0.095. What is the nearest to p in -1, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 6*q**2 + 4*q - 3. Let d be l(7). Let c = 16 + d. What is the remainder when -1 + 13 - 8\/c is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-6)*(-689)\/(-371).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1079289 is divided by 67455.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j*j\/j**(2\/9))\/j*j)*j*j*j*j\/(j**(-9)*j) assuming j is positive.\nAnswer: j**(101\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**2 - 1088*a + 10978 + 13833 - 3686 + 438*a = 0. What is a?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203363 is divided by 112?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 1) + (-1 - -3). Let g(k) = -6*k - 1 + t*k + 5. Suppose -4*h - 3 = -7. Let u(p) = -p + 1. Determine h*g(x) - 4*u(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 64 = -h. Suppose 6*i = -43 + 163. Let b = h + i. What is the lowest common multiple of 22 and b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 735 and 43659.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14397870.\nAnswer: 2, 3, 5, 149, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.6 - -4. Sort 0.1, 2, n in descending order.\nAnswer: 2, n, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s - 76 = 0. What is the remainder when -3*114\/(-9) - (-146)\/(-73) is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -448 - -703. Let m = y - 256. What is the second biggest value in m, 0, 3\/10, 5?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 2. Let y(g) = 2*g - 1. Let l(h) = 3*f(h) - 2*y(h). Let o be l(0). List the prime factors of (1 + 0)\/1 - o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32d (base 15) to base 10\nAnswer: -718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m*o**3 - 7*m*o**2 - m*o + 185*o**3 - 3 wrt o?\nAnswer: 6*m + 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.021 and -13.\nAnswer: -13.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 42020708.\nAnswer: 1\/10505177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/(-12))\/15*(-4)\/(-26)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 332350*a**2\/3 - 664694*a\/9 - 110782\/9.\nAnswer: -2*(a + 55391)*(3*a + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 72997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3311286 and 4664.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 534 + -902. Let k = -145 - b. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*p - 4342 = -2833 + 4123 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 970 - 970.4. Put x, 5, -5, 0.08 in descending order.\nAnswer: 5, 0.08, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11350418 * 17.\nAnswer: 192957106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w + 9. Let t be u(2). Suppose 0 = -4*n + 5*y - 11, -t*n - 5*y + 15 = -3. Solve l + 0 = -n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -15*l**3 + 11*l**2 + 11*l + 2. Let b(k) = 7*k**3 - 5*k**2 - 5*k - 1. Let v(o) = 13*b(o) + 6*d(o). Let f be v(1). Put -2\/9, f, 5\/2 in ascending order.\nAnswer: -2\/9, f, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 641099059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-10) + (-58)\/(-5). Let h = -80 + 89. Suppose h*c + 6 = t*c. Solve -c*i + 3*i - 5 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 9:42 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -306504562 divided by 3368182\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 4*d**2 - 10*d - 4. Let x be r(6). Let p(h) = 18*h + 19. Let i(n) = -19*n - 20. Let b(f) = 2*i(f) + 3*p(f). Is b(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.26 - 3.26. Let t = 0 - 0. Let i be ((-21)\/(-14))\/((-3)\/4). What is the nearest to k in i, t, 2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1523782787?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2852 by 6.\nAnswer: 1426\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19 + 10)*2\/3. Let v be u\/(-88) + (-1)\/4. Let j = 2 - 5. Put 3, j, v in decreasing order.\nAnswer: 3, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.806839 rounded to 3 dps?\nAnswer: 3.807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 39 (c) 3\/8 (d) -10\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(78)*1)\/sqrt(6).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 573952 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 3279599. Let h(y) = -62*y. What is l(h(p))?\nAnswer: -3844*p**2 + 3279599","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 976128 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n**3 + 110*n**2 - 47*n + 196. What is p(18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 232.21 - 232. Which is greater: b or -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2336713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**4*c**0*c**1*c**4)**35 assuming c is positive.\nAnswer: c**385","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(-70*y**2 + 14*y**2 + y**2)*(4*y**3 + 4*y**3 - 6*y**3).\nAnswer: -110*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -11*g + 7. Let c = -10 + 12. Suppose 87 = 5*u + c. What is the remainder when b(-5) is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 6:16 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -48, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 5) to base 10\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -20*i - 3. Let q = 2 + -6. Is u(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 6*h)*(-h + 0*h + 3*h)*(0*h - 3*h + h)*(-1 - 5 - 1)*(0 + 0 + 4*h + 1).\nAnswer: 672*h**4 + 168*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2248, 47, -2, 8, -6 in decreasing order.\nAnswer: 47, 8, -2, -3, -6, -2248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -7424?\nAnswer: -7423.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -430042541*w**3 - 9*w**2 - 589173*w.\nAnswer: -2580255246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1499 is divided by 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 71*l**2 + 2*l + 626. Let f be m(-71). What is the highest common factor of 44 and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499 is divided by 87?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**2 + 2584*o = 0. Calculate o.\nAnswer: -646, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 404448 + -247295. Let x be (-48)\/(-72) + k\/30. Let n = x - 5228. Find the common denominator of -38\/77 and n.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/6 - 43*m**2\/6 - 23*m\/3 + 44\/3.\nAnswer: (m - 44)*(m - 1)*(m + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2719 is divided by 274?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*p - 1247 + 4868. What is the highest common factor of p and 5041?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 965078 or 9?\nAnswer: 965078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 27 = 4*u + 5*d, -19 = -u + 5*d. Suppose -u*p = -2*v + 8, 3*v - 2*v + 4 = 4*p. Calculate the remainder when 20 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.6 times 0.1\nAnswer: -1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(40)*-2)\/(sqrt(18)*-2) - (5*sqrt(5)*2 + sqrt(45)*-1))**2.\nAnswer: 1760\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-315)*(-6)\/(-1)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8\/229, -0.2, 2, 0.87, -0.5, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -422?\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**4 + j**2 + 1. Let x(f) = -5*f**4 + 7*f**3 - 73*f**2 + 4. Let h(p) = 4*o(p) - x(p). What is the third derivative of h(u) wrt u?\nAnswer: 24*u - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*l = -1 + 13, -12 = -4*b - 4*l. Let f be -3 + 2 - (b - 45). Suppose 5*y - f = h + 49, -h + 2 = 0. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*v - 954013 - 518283. List the prime factors of v.\nAnswer: 2, 61, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-41 + (0 - 0)). Let u = 1142330 + -1142330. Put -2, u, k in decreasing order.\nAnswer: k, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/7 - 28*j**2 + 5336*j\/7 - 25392\/7.\nAnswer: 2*(j - 46)**2*(j - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15.74 and -281.\nAnswer: -265.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22912324 to the power of 1\/2, to the nearest integer?\nAnswer: 4787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**5\/210 + 29*o**4\/6 + 5887*o**3\/3 + 1072*o**2. Factor q(m).\nAnswer: 2*(m + 203)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/5, -1, 0.04, -7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/1143 - 78877\/11430. Let z be (-5121)\/(-15)*210\/(-16). Let n = 4487 + z. Calculate the common denominator of n and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 79*f - 55 = -82*f, r - 75 = -8*f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, d: 7}. Give prob of picking 3 b.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2574.6 - -0.567432196?\nAnswer: -2574.032567804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 4*i**2 + 12. Let w be k(-5). Let h(x) = x**3 + 14*x**2 + 16*x - 29. Let u be h(w). Are -67 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/21515 and -109\/215150.\nAnswer: 215150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0 (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257374.\nAnswer: 2, 13, 19, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.6 + 3.4. Let u = a + -6.1. Let y = -1.4 - -0.9. Put u, y, 0.3 in decreasing order.\nAnswer: 0.3, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382832 is divided by 191412.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - 2*h**2 + h**2)*(3232*h**2 - 6374*h**2 + 3218*h**2).\nAnswer: -152*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -6. Suppose -64 = -y*l + l. 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 t = 4409 - 1666. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16.33 and -5676.\nAnswer: -92689.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {x: 2, t: 4, z: 4, j: 1, m: 6}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 2*w**3\/3 - 19*w. Let m(g) = -4*g - 4 + 4. Determine m(r(d)).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6039 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, 2\/3, 2\/5, 15 in decreasing order.\nAnswer: 15, 2\/3, 2\/5, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 146095*k + 146120*k.\nAnswer: 25*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 j when two letters picked without replacement from {y: 1, j: 4, q: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = h + 8, 18 = -4*h - 0*h - d. Let k be (-1526)\/(-6) + h\/(-6). Let t = k + -106. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 0 + 0)*(1 - 1 - 2*i) + 3*i**3 + 0*i**3 - 2*i**3 + (4*i - 3*i - 2*i)*(2*i**2 + 2*i - 2*i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2038*m + 2037*m - 103 + 326*m**5 - 78 wrt m?\nAnswer: 6520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + 23 - 48*n**2 + 113*n**2 - 23 - 50*n**2.\nAnswer: 15*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 5 + 1)*(2 - 2 + 2)*(8*g + 13*g - 31*g)*(2*g**2 + 3 - 3) + (-g**2 + 3*g**2 + 0*g**2)*(0 + 0 + g).\nAnswer: -518*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrj when three letters picked without replacement from rhjhhjjhhjjhr?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2641130 to the nearest integer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 130050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/((y\/(y*y*y**16*y))\/y)*y))**(37\/5)*(y\/y**(-11\/6))\/y*y*y**21\/y*y assuming y is positive.\nAnswer: y**(-3947\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2029952 to 4 decimal places.\nAnswer: -0.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7 and -29\/13964223.\nAnswer: 13964223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -12*h - 28. What is i(-6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 10:18 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 11:46 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -9 + 34 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*w + 16, 3*y - w + 2*w = -12. Let j(b) be the third derivative of -1\/8*b**4 + 0*b**3 + 10*b**2 + 1\/20*b**5 + 0 + 1\/120*b**6 + 0*b. What is j(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 5. Which is the second smallest value? (a) n (b) -0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 221624\nAnswer: 1\/55406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c + 1. Let u be g(-2). Let k = 4 + u. Suppose 3*b - 2*s = 72, 6*b - 4*b - 43 = 3*s. Calculate the remainder when b is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6759.15712 - -0.15712. Let i = r + 6758.997013. Round i to 4 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -77128 bigger than -77128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**2 - 4*w**2 - 64 + 0*w**2 - 718.\nAnswer: -10*w**2 - 782","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 17*j + 8. Determine a(16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -325 divided by -319923?\nAnswer: 325\/319923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffffnffffffff. What is prob of picking 2 f?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33.5 + 33.385. Which is the third smallest value? (a) -0.1 (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i**3 + 161*i**2 - 117*i - 3060. Determine j(39).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyby when four letters picked without replacement from yyyyyzyyzyybyyyyy?\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q - 2. Suppose -34 = 11*g - 28*g. Let m(z) = -2*z + 15. Let r be m(10). Let l(s) = -s - 1. Determine g*t(a) + r*l(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(4 - 6 + 0)*(4*p - 2*p - 3*p + 4*p - 16*p + 2*p + (2 + 0 - 3)*(-2*p + 8*p - 2*p))*(2 - 2 - 5*p)*(0 + 2 - 1).\nAnswer: -150*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r. Let b(q) = -4537*q. What is b(h(u))?\nAnswer: -13611*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.21 - -0.21. Which is the biggest value? (a) -1 (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7368?\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452663663.\nAnswer: 452663663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i = -2. Let b = 26767\/4 + -6692. What is the nearest to 14 in 5, b, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1515 - w + 1515)*(-8*w**2 + 43 + 2*w**2 + 5*w**2).\nAnswer: w**3 - 43*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2537*i**4 - i**2 + 3600 wrt i?\nAnswer: 60888*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2126 and 4252?\nAnswer: 4252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 6. Let b(x) = -x**3 + 5*x**2 + x + 5. Let h be b(5). Let y = 0 - h. Let a be o(y). Put 5, a, -2 in decreasing order.\nAnswer: 5, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 6:04 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 115*c**4 + 1386*c**3*v + 59201*c**2*v - c**2 - v wrt c?\nAnswer: 2760*c + 8316*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 527511*j + 527514.\nAnswer: -3*(j - 175838)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -21*m**2 + 1. Let q = 36 - 80. Let l = -45 - q. Calculate w(l).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -150*q + 288*q - 209*q - 2*q**4 - 2*q**3 + 4*q**3 to z*q**4 + r + m*q**2 + g*q**3 + c*q and give c.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5\/11 - 2*h**4\/11 + 24*h**3\/11 - 8*h**2\/11 - 32*h\/11 = 0 for h.\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + f**2 + f + 1. Let j be u(0). Let o = -7 - -4. Which is greater: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1049 + -1106 + (-17 - 4).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 9791728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 34 = -11*o. What is the remainder when o is divided by 12 + -2 + 0 + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 26*i**2 + 16*i - 3. Let s be q(-27). Let t(p) = -296*p**2 - s*p**2 + 592*p**2. Let b(h) = 53*h. Give b(t(j)).\nAnswer: 106*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 7:27 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -520 - -529. Solve r*n + 31 - 49 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/468 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -808, -1747, -2664, -3547, -4384, -5163?\n\"Answer: 2*c**3 - c**2 - 950*c + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185\/(-222)*(2\/(-10))\/1.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - l. Let c(d) = 9*d**3 + 4*d**2 + 4*d. Give -c(t) - 4*u(t).\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 4*a - a**2 - 2*a**4 + 5*a - 5*a as b*a**4 + g*a**2 + d*a + k + n*a**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*k = 172*k + 1319. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96 + 242. Let c = -338.301 + r. What is c rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - 563 + 555 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**5 - 3430*i**4 + 208780*i**3 - 2205310*i**2 + 3798025*i - 1798060 = 0. Calculate i.\nAnswer: -743, 1, 11, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 32 = 8*t. Let u(r) = -r**2 - 10*r - 3. Is 10 a factor of u(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -4486?\nAnswer: 4485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 274 and 50529573.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 372 + -368. Solve 2*h + 4 = 4*o, -15 = -i*o - o + 5*h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7707, 7705, 7703, 7701, 7699, 7697?\n\"Answer: -2*j + 7709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-12.8.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13929229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2401 - -6426. List the prime factors of t.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 230 - -216722?\nAnswer: 217152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -265?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n - 3. Suppose 2*x = 4*j - 10, -2*j = -3*x + 2 + 3. Let c(g) = -23 - 20 + 4*g + 47. Give x*c(o) + 6*q(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2257703?\nAnswer: 7, 23, 37, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1058175*m**2 + 15*m - 52172.\nAnswer: 2116350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 6*c**2 + 231 - 76.\nAnswer: -6*c**2 + 208","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n = 25. Suppose 9 = 4*o + n*v, v - 3 + 2 = 0. Calculate the least common multiple of (-1 + 2 - (-5 + 5)) + 1 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 * 46.3553\nAnswer: -1066.1719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 47*d**2 - 97*d + 17. Determine n(49).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + (sqrt(132) - 2*sqrt(132)))*1)\/sqrt(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.133 - 0.148. Let a = c - 0.381. What is a rounded to two dps?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 10*i + 30. Suppose -85 = -2*r + 19. Calculate the remainder when r is divided by l(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2312*1\nAnswer: 2312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + 12686. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -256 (b) -3\/8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 2 (b) -33 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -2. Suppose -5*g + 3*m + 32 = -0*m, 4*m + 24 = 2*g. Solve -b = -v*b - g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.646889 to 1 decimal place.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55089000721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 428, 864, 1292, 1712?\nAnswer: 2124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*r**4 - 3*r**3 + 3 + r - 19*r**4 - 4*r**2 + 30*r**4 to l + c*r + u*r**3 + q*r**2 + o*r**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**6\/160 - o**5\/80 - 2*o**2 + 21*o. Let r(s) = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -4) + -10 + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1995130.666 to the nearest ten thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -221921.4.\nAnswer: 66576.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 + 4 = -8*y - 95 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l - 22. Let s be b(8). Suppose 4 = 2*j - 5*a, 0*j - j = s*a - 20. Let v(f) = j*f**2 + 15*f**2 - 24*f**2. Let p(k) = 8*k**2. Give p(v(g)).\nAnswer: 72*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4510 minus -0.5?\nAnswer: -4509.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 5*a + 20, 2*j = 7*j + 4*a - 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.602 + 0.398. Which is the closest to 14? (a) -0.1 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c - 42*c + 13*c + 12*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**7\/150 - 2*x**6\/75 + 11*x**5\/300 - x**4\/60 + 6*x**2. Factor z(g).\nAnswer: g*(g - 1)**2*(7*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 15*f + 16. Let w be q(-16). Suppose 2*s + 2*i = -i - 5, 3*s + 2*i = w. Suppose -3*u - 5*k - 6 = -114, -s*k + 99 = 3*u. Is u a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-7432)\/2 + -5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -3*k**4\/4 + k**3\/3 + k**2\/2 + 61*k - 13. Let s(h) = -12*h + 34. Let l be s(3). What is w(l)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - u**4 + 2*u**2)*(-25977*u + 12526*u + 12307*u + 1) + 3*u - 3*u - 2*u**5.\nAnswer: 1142*u**5 - u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 841*a**2 - 1764*a**2 + 525*a**2.\nAnswer: -398*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -18. Let c = -3 + f. Solve -5*h + 4*l = -32, h + 3*l + 25 = c*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.25 + 0.15. Which is the third smallest value? (a) 1 (b) -0.01 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300476?\nAnswer: 2, 11, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m + 101 + 111 - 214 + 498*m**2.\nAnswer: 498*m**2 - 18*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkdl when four letters picked without replacement from {k: 2, l: 5, d: 4}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2523.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2240) - (sqrt(2240) - sqrt(2240)*-2))\/(sqrt(49)\/(sqrt(28) + sqrt(7))))**2 + (-1 + (sqrt(5)*-2 + -5)*-1)**2.\nAnswer: 16*sqrt(5) + 11556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o**3 + 3*o**2 + 9*o - 3. Let r(p) = -p**3 - p**2 - p + 1. Let x(m) = -a(m) - 3*r(m). Find the second derivative of x(u) wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/22 and 35\/140026.\nAnswer: 1540286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozgg when four letters picked without replacement from {b: 1, o: 4, z: 2, g: 7, w: 2}.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 139 + -136. What is the third derivative of 7*j**2 - r*j**2 + 41*j - 17*j**5 - 46*j wrt j?\nAnswer: -1020*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zfff. What is prob of sequence zff?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 586039054 to the power of 1\/4, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.06 and 0.3168.\nAnswer: 0.2568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.82 - -0.82. Which is the second smallest value? (a) -1\/7 (b) u (c) 4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 125 + 399. Let q = -351 + p. Suppose -2*s + i = -77, 0*s + 4*i - q = -5*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 17\/118 (b) -0.2 (c) -6 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1\/691 (c) -3\/4 (d) -16 (e) 3 (f) 13 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 less than -78?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11121*q - 5307*q - 5921*q.\nAnswer: -107*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(424*y + 462 - 462) - 2 + 2 - y - 11 + 11 - 3*y.\nAnswer: -852*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3\/2 + 207*p**2\/2 + 2997*p\/2 - 20535\/2.\nAnswer: 3*(p - 5)*(p + 37)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*w = 224*w - 18. Let c(f) be the second derivative of 7*f**3\/6 - 3*f**2\/2 - f. Calculate c(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 4 = 0, -73*k = -68*k - p - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -394*a + 674*a - 127176000. Round a to the nearest ten thousand.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o. Let n be -2*5\/(-2)*-1. Let x(p) = -7*p**2 - 2. Let c(q) = -15*q**2 - q + 16752 + q - 16757. Let j(h) = n*x(h) + 2*c(h). Calculate d(j(t)).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -1440*g. Let d(l) = 6*l + 12. Let s(u) = 11*u + 21. Let o(n) = -7*d(n) + 4*s(n). Calculate o(k(q)).\nAnswer: -2880*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 50894309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 27*d - 22*d. Calculate the greatest common divisor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 256*r**3 + 587488*r**2 + 361653633*r + 67240750401.\nAnswer: (r + 1441)*(16*r + 6831)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**(-3\/2)\/n*n)*n\/((n\/(n\/n**3))\/n*n*n)*n**(2\/7)*n**0*(n\/(n**(1\/2)*n))**(4\/7)\/(n**1)**(3\/4) assuming n is positive.\nAnswer: n**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*-1*8\/1. Suppose 3*u = 1145 - 794. What is the common denominator of 15\/14 and ((u\/d)\/9)\/(1\/6)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64*c**3*j**4*k - 3*c**3*j**2 + 4*c**3*j*k + 15202*c*j**4 - 2*c*j*k - 8*c + 118*j - k wrt j.\nAnswer: -1536*c**3*j*k + 364848*c*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 t when four letters picked without replacement from tttwwwwxxxtttt.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(143)\/(-1*sqrt(11)) - -2*sqrt(325) - sqrt(39)\/(sqrt(27)\/(sqrt(9)*-3)))*-1)**2.\nAnswer: 46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2179, -2176, -2173?\n\"Answer: 3*z - 2182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23816027*l**2 + 30214254?\nAnswer: -47632054*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -428*s - 404. Is 54 a factor of q(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1542559 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 2\/15*m**5 - 1\/6*m**3 + 6*m**2 - 67\/240*m**6 + 19\/105*m**7 + 0 - 1\/24*m**8 + 5\/48*m**4 + 0*m. Find s, given that o(s) = 0.\nAnswer: -2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 70 - 38. Let b = m - -67. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 6) + 18 - (-6 + 9 + 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 7 - 2 + (1 + 2 - 1)*(1 - 2 - 1) - 6 + 1 + 3 + 5 - 7 - 9)*(-1 - 1 + 1)*(-1 - 3 + 1)*(-2*j + 4*j + 0*j) to q*j + h and give q.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((49 - 4)\/3). Suppose 3 = w + 4. Which is smaller: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28885 - 25136. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1073795200.\nAnswer: 2, 5, 61, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*k = 6, -k - 2 = i - 0*k. Let s(z) = 10*z - 46. Let r(b) = 7*b - 31. Let f(d) = 7*r(d) - 5*s(d). Determine f(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*n = -4*n + 440 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*-2*1\/4. Which is greater: l or 1\/10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 442*g - 8822 + 4321 + 4501 - 446*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.2 + -6.7. Let b = -25 - -19. Sort z, b, 1 in decreasing order.\nAnswer: 1, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1\/4, -4, -46, -4\/3, 38?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -288, -1649, -3828, -6825, -10640, -15273?\n\"Answer: -409*l**2 - 134*l + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 3 - 6. Suppose -2*u + 7*d + 24 = p*d, -8 = -3*u - d. Let a = -0.0354 + -4.9646. What is the nearest to 0 in u, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26477266*w**5 - w**4 - 23038438*w**2?\nAnswer: -1588635960*w**2 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(170)*-1 + sqrt(170)) + sqrt(170))\/((sqrt(110)*-2)\/sqrt(11)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 34*y**2 + 20*y**2.\nAnswer: 54*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2. Let x(m) = 6*m**2 + 2*m + 8. Let p(w) = -8*r(w) - x(w). Let v be p(7). What is the highest common divisor of v and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/3512 and -75\/14.\nAnswer: 24584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 78?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19 and 23.\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 7 (b) -0.4 (c) -66 (d) 4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**5\/80 + 17*p**4\/48 + 2*p**3\/3 - 200*p. Find a, given that x(a) = 0.\nAnswer: -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80060?\nAnswer: 2, 5, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 86408235 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**2)**(-2\/101))**(-10) assuming y is positive.\nAnswer: y**(40\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 + 3*z**3 - 6)*(117 - 21*z - 4*z - 113).\nAnswer: -75*z**4 + 12*z**3 + 50*z - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 254975.\nAnswer: 16828350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409*z**2 + 3022*z**2 + 28730*z**2.\nAnswer: 31343*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10\/13 + -1\/52. Let x(q) = -q**2 + 14*q - 9. Let r be 3\/(-9)*39*-1. Let n be x(r). Which is the second smallest value? (a) n (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16597410 minus 4?\nAnswer: -16597414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112.9 + -19.7. Round c to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**4*q*q**(3\/4) assuming q is positive.\nAnswer: q**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298*i + 7204 = -2332. Solve 4*n + 4*k = -8, -2*k + i - 24 = -4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17, 30, 49, 74, 105?\n\"Answer: 3*w**2 + 4*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 993.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -551553 - 5?\nAnswer: -551560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 357888?\nAnswer: -1431552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbxxxdxixxcdxb. Give prob of sequence bxbi.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 291*l**3 - 340 wrt l?\nAnswer: 873*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 69941?\nAnswer: 69942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*j*u**4 + 912704*j + 52558*u**4 wrt u.\nAnswer: 32*j*u**3 + 210232*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2856 is divided by 1032.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5327017*f - 16628883 wrt f.\nAnswer: 5327017","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -740*h + 5 = 9*o - 744*h, 4*o - 6 = h - 3*h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4434984.\nAnswer: 2, 3, 31, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28010 is divided by 5600?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47790 by 5.\nAnswer: 9558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/7 (b) 2\/3 (c) 1\/11 (d) 0.07167 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -0.2, -0.13, -5 in decreasing order.\nAnswer: 4, 0, -0.13, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 8*h - 5. Let j(o) = 9*o - 18. Let t(v) = -18*v + 38. Let g(d) = 13*j(d) + 6*t(d). Calculate -6*b(z) + 5*g(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 235476955?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nwnnw. What is prob of sequence nwwn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -825*f + 1624*f = 837*f + 276 + 142 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) + (-20)\/8. Let b = 9 - t. Let d = b + -8. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.48878 millennia to years.\nAnswer: 93488.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 19*u**2 + 18*u + 10. Let c be v(18). Solve 0 = -4*l + 12, 0 = 4*t + 5*l - 3*l - c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 0)*(-8)\/32. Suppose -2*c = 5*j - 28, t = 2*j - j - 5*c - 11. Let u(h) = j*h - 26*h + 12*h + 9*h. Let a(o) = 16*o**2. Give u(a(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/12 and 137\/8076.\nAnswer: 8076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 156 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 565482 and 2370.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 864 and 480.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -33. Let g(l) = 76*l**2 + 3*l - 2. Is g(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 276 - 247. Suppose -43*a = -r*a - 5712. What is the greatest common divisor of a and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6616, 7228, 8884, 12106, 17416, 25336?\nAnswer: 36388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**4 - 8830*s**3 + 293435*s**2 + 1741830*s - 2026440 = 0.\nAnswer: -6, 1, 39, 1732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*h - 4*p - 9, -4*p - 16 = -h. Suppose -2*v = -4*v + 1864. Let q = -12122\/13 + v. Is q less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1325 = -c, 1317 = c + 6*n - 2*n. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -16, -7, -4, 0 in decreasing order.\nAnswer: 4, 0, -4, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 3 (c) 4 (d) -9 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 8*a - 400. Let l(y) = 2*y. What is k(l(q))?\nAnswer: 16*q - 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*x + 217*x - x**2 - 105*x.\nAnswer: -x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94951?\nAnswer: 94951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 3. Suppose -2*k = m*c - 8, 0*k + 2*c = 2*k - 8. What is the highest common divisor of 32 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w - 100 = 17*w. Solve 4*p = -p + 20, -4*q = 2*p - w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(396) + sqrt(396) + -2))**2.\nAnswer: -1200*sqrt(11) + 39700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1884048 is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1368 + 6.3538. Let b = 48 + -54.2. Let y = w + b. Round y to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 + (-93)\/(-9))*-1722. Round r to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -32*i**2 + 526*i + 4. What is u(17)?\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 170, 331, 482, 617, 730?\n\"Answer: -h**3 + h**2 + 165*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 504\/(-105) + (-2)\/10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 - 1022352?\nAnswer: -1022330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 219010 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 16\/3, -4, -1.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**2 - 7*w - 167. What are the prime factors of j(24)?\nAnswer: 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 1. Let o be (-4)\/10 - 26\/10. Let s be i(o). Calculate the greatest common divisor of 16 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**2 + 420*s - 5212. Give n(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {a: 6, u: 11, o: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 2*o + 6. Give t(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -314 + 320. What is the remainder when 167 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 + -86?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y. Let r = -238 - -241. Suppose c - 7 = t, -r*c = -2*t + 6*t + 35. Let p(u) = -u. Calculate t*p(i) + v(i).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -1\/3, -3\/80, 3\/5, 0.55, -0.2, -4?\nAnswer: -3\/80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-2)\/10)\/(((-2614)\/254865)\/(2\/(-13)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49 plus 2748?\nAnswer: 2748.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1409161, 1408995, 1408829, 1408663, 1408497?\n\"Answer: -166*v + 1409327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 74 = 3*p - 284, -p + j = -66. Calculate the remainder when p is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**2 + 1363760*i - 28636755 = 0. Calculate i.\nAnswer: 21, 272731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 995368 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 20 + -25 + 46 + 33.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17036405 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 2*u - 2*u. Let x(q) be the first derivative of 0*q**2 + 0*q + 8\/3*q**3 + 3. Calculate x(z(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 158 or 159?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 15 = -3*h, -26 = 3*l + h + 7*h for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 4*h**2 + 4*h + 5. Let n be r(-4). Let x = n - -6. Sort x, 7, -4 in decreasing order.\nAnswer: 7, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 l when four letters picked without replacement from {p: 2, m: 4, l: 2, s: 12}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*a - 77*a - 7 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -66. Is r a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 520 divide 752888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 4, -54, 0.05, 2, 5817?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-24)*-2)\/(3\/(-207))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29021223 and 1022.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -669.4 - -714. Round q to the nearest integer.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 14311 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d - 2. Let k be r(-3). Let n = 67 - 76. Which is smaller: n or k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a + 76580 - 16550. What is a rounded to the nearest 100?\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (27 - 6 - 11).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15664073*k**2 - 149915*k wrt k?\nAnswer: 31328146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 697*l - 8004 - 2493 - 11807 = 0 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36224 is divided by 225?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1018783 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-34)\/(-4))\/(4\/8). Factor 21*h - 37*h**3 - 15*h**2 - 9 + 23*h**3 + m*h**3.\nAnswer: 3*(h - 3)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -38, -37, -36?\n\"Answer: l - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -6. Suppose 5*u - 476 = -5*n + 104, 0 = -x*n - u + 340. Suppose 2*k = -2*k + n. What is the remainder when k is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -351713, -703451, -1055191, -1406933, -1758677?\nAnswer: -2110423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1775, -4096, -6379, -8618, -10807?\n\"Answer: c**3 + 13*c**2 - 2367*c + 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13827?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139217?\nAnswer: 13, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4546405 (base 7) to base 5.\nAnswer: 121111434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3122*g = -3066*g + 728 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.381 - -1.381. Which is the smallest value? (a) 0.1 (b) l (c) -0.1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1365 and 1\/84468?\nAnswer: 38432940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 19*c - 4. Let n be o(6). Suppose -6*v - n = -v. Let d be (-75)\/(-50)*(-29 - -15). Do d and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*10 - (-33 + 35)*(-1)\/4*10\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqk when four letters picked without replacement from {k: 9, q: 11}.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 21 (c) 5 (d) 30.7 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*l + 5*h - 53, -3*l + h = -28. Let g(o) = -o**2 - 7*o + 3. Calculate the least common multiple of g(-6) and l.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -11. Let f = u + -1.6. What is the smallest value in 2\/3, f, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 365*g**3 - 433*g**2 wrt g?\nAnswer: 2190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) -3 (b) 1.8 (c) 1\/6 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -450*v - 9. Does 7 divide f(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 16*s**2 + 5*s. Let w(m) = -m**2 + m - 1. Let d(v) = -6*v**2 - 4*v + 2. Let a(j) = d(j) + 2*w(j). What is 5*a(k) + 2*p(k)?\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2*i**3 + 0 + 1\/8*i - 1\/4*i**2 + 3\/8*i**5 + 1\/4*i**4 = 0. What is i?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2. Suppose 0 = -0*w + w - 2. Let z(q) = -3*q**2 + 7*q**w - 2*q**2. What is z(s(g))?\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 8:59 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 76318 (base 10) in base 16?\nAnswer: 12a1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -32. Let h = 55 - 51. Suppose -h*o + 3*p = -o + 9, 3*p = -2*o + s. Solve 0 = 2*r - 4 - o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 9:31 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -128645.5323 rounded to the nearest one hundred?\nAnswer: -128600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -95, -184, -293, -428, -595, -800?\nAnswer: -1049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + c**2 - c**2)*(-23 - 38 + 31).\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29726*w + 14829*w + 14898*w + 1159.\nAnswer: w + 1159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 804961 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3987*g**2*i**2 - 2*g**2*i - 3*g*i**2 + 1301*g*i wrt g.\nAnswer: -7974*i**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106116539 is divided by 53?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.5142 - -215.0092. Let n = r + -205. Let t = 0.4949777 - n. Round t to 6 decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 1, -2, -7, -14?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 35*g - 205 = -32*g, -g = 2*z - 71. Calculate the remainder when 299 is divided by z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 10*r = 78, 88*r - 6 = a + 90*r. Let h = 44 - 23. What is the remainder when h is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -5244666?\nAnswer: -5245004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) - (-4*sqrt(162)*2 - sqrt(162)).\nAnswer: 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 3. Let y be u(2). Let a(t) = -t - 15. Let o be a(-18). Suppose -6 = o*s - 0*s. Sort y, s, -8.\nAnswer: -8, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27540 and 648.\nAnswer: 55080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 2290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-256)\/6)\/8*3. Let s(w) = w**2 + 15*w - 12. Let b be s(f). Let j(p) = 2*p**3 + p + 4. Let o(u) = 3*u**3 + 2*u + 7. What is b*o(i) - 7*j(i)?\nAnswer: -2*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2569 - -2616. What is the remainder when 647 is divided by y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by -22495?\nAnswer: -14\/4499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + i**2 + 2*i. Let f be a(-2). Let m(b) = -b**2 - 9*b - 5. Let r be m(f). Suppose -z = -r*h + 331, 0*z - z + 224 = 2*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(2299) + 4 - sqrt(2299)) + 3 - sqrt(2299)) + 1)**2.\nAnswer: -2363 + 176*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1174 - 810. Is q a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*m**2 - 14*m**2 - 11*m**2 to l*m**2 + f + v*m and give l.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61356857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65.9, -11, 10\/7, 0.2 in decreasing order.\nAnswer: 10\/7, 0.2, -11, -65.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21721 and 48685?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17794 is divided by 188?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 6:08 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 226*v - 243*v + 153. Let b = 8 + -4. Solve b*a - a = -v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4616*d**4 - d**3 - 3170*d**2 + d - 136722825 wrt d?\nAnswer: 55392*d**2 - 6*d - 6340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g + 217. Let k(c) = 10*c + 326. Calculate -5*k(y) + 8*z(y).\nAnswer: -2*y + 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -577*v + 38487. Give q(67).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 43 - 25. Suppose -5*r - q = -82. What is the remainder when 23 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12097338349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*b - 0*b. Suppose -5*l - b*r = -3 - 17, 4*r = 20. Suppose -2*v + 4*d + 12 = l, 3*v + v - 24 = -d. Calculate the remainder when v is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 + -0.8. Let m = z + 1.4. Let q = -1109 - -14415\/13. Which is the third smallest value? (a) q (b) 0.6 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-254)\/6 + (-2)\/(-6). Calculate the common denominator of -3*(2 - (-188)\/l) and 73\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6.8. Let u = 4.6 + -7.4. Let f = u + v. Which is the nearest to f? (a) 1\/4 (b) 21 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.4 (b) -2\/9 (c) 1 (d) 8\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68 + 368*a**4 - 458*a**4 - 51*a - 506*a**4 + 66 wrt a?\nAnswer: -7152*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(504\/(-208)) + (-2)\/(-7). Let w(t) = -t**3 + 4*t**2 + 3*t - 1. What is w(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -73*d**3 - 5*d + 5. Let g(b) be the second derivative of -493*b**5\/5 - 68*b**3\/3 + 68*b**2 - 6754*b. Calculate 5*g(v) - 136*u(v).\nAnswer: 68*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**3 + 9025284*c**2 + 514454184*c = 0.\nAnswer: -57, 0, 2256378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7102, 28418, 63946, 113686, 177638, 255802, 348178?\n\"Answer: 7106*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (23 - (-5911)\/(-138))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4426*o**6 - 3568*o**2 wrt o.\nAnswer: 531120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-9 - -9) + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 224*v**3 - v**2 + 18.\nAnswer: 1344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 463650 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 5 + 11 - 6 - 7.\nAnswer: -k - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-70) - 57\/(-21). Let c = -456\/1015 + 3\/145. Put c, k, -3 in decreasing order.\nAnswer: k, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1570457577?\nAnswer: 3, 13, 47, 281, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 168 = 216. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 0*r**2 - 79\/20*r**5 + 0 + 16\/3*r**4 - 1\/6*r**3 + 171*r. Find the third derivative of k(g) wrt g.\nAnswer: -474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (54096\/2093 - 28) + (2 - 3) + 4?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 980 = 74. What are the prime factors of a?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1483*r + 5 = -1488*r, -3*r = -4*n - 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h - 5. Let q(k) be the first derivative of 3\/2*k**2 - 5 - 6*k. What is 4*q(v) - 5*u(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 21 = -31. Suppose -2*t + x + 42 = 0. Let h = t - -41. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25407 is divided by 165?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 2:24 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19930*l**6 + 189*l**2 + 10*l.\nAnswer: -2391600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/6 + (-207)\/(-27). Suppose 0 = -4*o + 5 + f. Solve -3*p - 2*t + 13 = -o*t, -4*t - 7 = 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -2091133.\nAnswer: -2091136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0517669621 take away -0.082?\nAnswer: 0.1337669621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -461fe (base 16) to base 2\nAnswer: -1000110000111111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 33. Let w = -13 + q. What is the units digit of (-2)\/3 - (-24)\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1376\/55 + 126\/5. Which is the nearest to p? (a) 0.3 (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24588 + -24?\nAnswer: -24612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) - 5*(sqrt(112) - (sqrt(112)*1 + sqrt(112))**2) - (sqrt(112) - sqrt(112)*2*5)) + 3 + sqrt(7) + (sqrt(343)*-1)**2 + 3.\nAnswer: 21*sqrt(7) + 2589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 6, 2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -103 + 6162333?\nAnswer: 6162230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 85639308731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 268802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 214.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1945, 7700, 17317, 30796, 48137, 69340?\n\"Answer: 1931*h**2 - 38*h + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.1, 0, 47, 121, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 5*c - 17 = 0, 0 = 2*x - x - c + 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 - 2*c + 2*c - c**2)*(-31 + 24 + 20).\nAnswer: 13*c**3 - 13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 19. Let a(r) = r**3 + 5*r**2 - 12*r - 4. Let j be a(-5). Calculate the greatest common factor of j and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 5*r + 4. Let d(a) = a - 10. Suppose 9*v + 17 = -10. Let f be d(v). What is the hundreds digit of h(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -68*m. Let w(o) = 2*o**2 + 25*o + 27. Determine h(w(g)).\nAnswer: -136*g**2 - 1700*g - 1836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 306 + -183. What are the prime factors of y?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -440*u**2. Let p(b) = 4316*b. Determine p(j(d)).\nAnswer: -1899040*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 2*j - 1\/2*j**2 + 1\/4*j**4 + 0 - 1\/6*j**3. What is the remainder when 5 is divided by v(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*s + 11*s**2 - 42*s**3 - 26*s**3 - 19*s**2 + 9*s**2 wrt s.\nAnswer: -408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/10)\/(4998\/1566040).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 11893299?\nAnswer: 95146392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -320.75 + 321. What is the third biggest value in 5, -3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*p = -171*p + 109*p - 9960 for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 8857?\nAnswer: -8861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 966700, -1, -2, -3, 9 in ascending order.\nAnswer: -3, -2, -1, 9, 966700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 450 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1149, -1148, -1147, -1146?\nAnswer: -1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 226*h + 2 - 3 - 30*h - h**2.\nAnswer: -h**2 + 196*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1544134628?\nAnswer: 2, 386033657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63673111?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*k = 35*k + 682. Suppose -2*f - 4*t + 346 = 114, 3*f = t + k. Calculate the greatest common divisor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3 - 1190*l**2 - 23182*l - 104650 = 0.\nAnswer: -575, -13, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21736\/1557 bigger than -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/4)\/(1\/(-4)). Let h(m) = 3*m - 11. Let z be h(5). Suppose z*g - 4 = 7*u - l*u, -2*g - 1 = -5*u. Calculate the smallest common multiple of g and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*h - 27*h**3 + 303*h - 5013165*h**4 - 360*h**2 + 5013168*h**4.\nAnswer: 3*h*(h - 16)*(h - 1)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/50 of a second?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/1540129 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 15 - 0. Suppose t - 254 = 2*i, a*t + i + 4*i - 1270 = 0. Suppose 2*u - 4*u = -t. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 824999.\nAnswer: 7, 19, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*g + 1600 = 1630 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/119 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 484, 1281, 2656, 4765, 7764, 11809, 17056?\nAnswer: 23661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52416 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 82885 (b) 5 (c) -3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9713869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*2*(0 + -1). Let x = j - -5. Let p = -837 - -848. Solve -x = 4*w - 3*w - 3*t, -2*w + 3*t = p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3126437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1838\/15623 - 219\/(-17)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 143, 196, 291, 440?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**2\/2 - 30929481*x\/2 = 0.\nAnswer: 0, 30929481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -341, -16, 0.3, -1\/2, -1, 0.107?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, x: 1, f: 2, h: 1, j: 1}. Give prob of sequence xjnf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15398122, -30796258, -46194396, -61592536?\nAnswer: -76990678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 16*y**2 - 3*y + 19. What is the hundreds digit of u(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 + 1 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -4, -25, -1, -8 in descending order.\nAnswer: 11, -1, -4, -8, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*2*(-2)\/(-16)*52. Suppose -h*v = -7*v. Sort v, -5, -3, 2 in descending order.\nAnswer: 2, v, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (13 - 9)) + -20 - (-106 - -87)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 7\/60*s**5 - 1\/3*s**3 + 0*s + 0 + 2*s**2 + 1\/6*s**4 + 1\/120*s**6. Calculate the smallest common multiple of 20 and c(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 766175 and 14725?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -92 >= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*p**2 - 32*p**2 + 77*p**2 - 2*p.\nAnswer: 18*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -70293 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -200632 divided by 62?\nAnswer: -3236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/7484 and -103\/27460.\nAnswer: 51377660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yfydmsm. Give prob of sequence sm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 19 = -5*n, -10*b + 8*b + 27 = n. Solve 0 = 2*d + 5*w + 21, -5*w - 1 = 5*d + b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -10.294?\nAnswer: -1.0294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -4. Let s(h) = 5*h**2 + 3*h**2 - 1 - h**r. Determine s(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.4 - -0.4. Let x be 114\/(-16)*8\/90. Let f = x + 2\/15. Put -2\/3, r, f in ascending order.\nAnswer: r, -2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 69 = 21 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4043.344 rounded to the nearest ten?\nAnswer: -4040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 3*n**2 + 2*n + 2. Let g be q(-2). Let h = g - -43. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 2*k + 1. Let n(j) = -j**2 - j. Let m(d) = -2*n(d) - t(d). Let u be m(-1). Solve u = 3*v + c - 14, -v + 5*c - 34 = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -222*(-6 + 3 - (-1396)\/(-12)). Let c = r + 16242. Suppose -5*a - 97266 = c. What is a rounded to the nearest 1000?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260944 a multiple of 324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a tonne in kilograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.44? (a) 0.923 (b) 1.4 (c) -0.1 (d) -2\/13 (e) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v - 3. Let i(x) = 2*x - 8. Suppose -3*r = -3*a - 24, 2*a - 3*a - 2 = 0. Let m be i(r). Let z(p) = -7*p - 7. What is m*z(k) - 10*n(k)?\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 115 = 3*w. Let q = w - -166. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n - 4*n + 0*n. Let z(f) be the third derivative of -f**6\/90 - f**3\/6 - 26*f**2. Let w(d) be the first derivative of z(d). What is w(y(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2026*i + 12950 = 2076*i. What is the remainder when i is divided by 66?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 2 - 2 + 2. What are the prime factors of v(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 - -30?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 669572, 3, -1 in decreasing order.\nAnswer: 669572, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5904 - 13221 - 7419 = 330*b + 302*b for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/4*48\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4961897.45 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 4:45 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/10 - (-22)\/4. Let q be (n\/15)\/(1\/(-5)). Let o = 4 + q. Which is the smallest value? (a) -2\/7 (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/4 and 109\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a minute in milliseconds?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 12:24 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 10*k + 6 - 4)*(-3*k + 0*k + 5*k) + (0*k**2 + 0*k**2 + 2*k**2)*(4 - 3 - 3) + 1 - 2*k**2 - 1 + 2 + 2*k**2 - 2.\nAnswer: 14*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -414876, -829471, -1244066?\n\"Answer: -414595*j - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 425314.5 to the nearest 1000.\nAnswer: 425000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 4*d**2 + d + 4. Let l be h(-4). Suppose l = -4*a - 8 - 8. What is the nearest to -1\/4 in -2\/5, a, -2\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 3)*510\/4. Let q be (-221)\/k - (2 - (-64)\/(-30)). Is q at least as big as -12\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u - 16*u**2 + 6*u**2 + 14*u**2 - 16 - 8*u**2 + 1 in the form b*u**2 + x + v*u and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 13\/12*r**4 - 1\/2*r**2 + 5*r + 2\/3*r**3 + 0. What are the prime factors of p(-2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16753430 and 2?\nAnswer: 16753430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from oboeqvne?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 241 + -174. Let i = 107 - c. Calculate the remainder when i is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(343) + -1 + (sqrt(343) + -1)*1 + 2)**2 + 0.\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/918)\/(6\/(-72)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*y + 2 - 8 = 0, -5*s = 2*y - 43. Suppose t + 3*t = -5*x - 34, -x - s = t. What are the prime factors of ((-4)\/x)\/(4\/60)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159, -475, -735, -723, -223, 981, 3105?\nAnswer: 6365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**3 - 3*g**3 - 19*g**3.\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w**2 - 3*w**2 + w**2)*(-12*w**2 + 6*w**2 + 7*w**2) + 4*w**2 - 3*w**4 + w**2 + 0*w**4 to the form m*w**4 + f*w**2 + v + p*w**3 + s*w and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3482, -3481, -3480, -3479?\nAnswer: -3478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5915 + -5894. Solve 0 = -30*q + 33*q - t for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3719*d + 3714*d - 2*x + 4 = 0, 11*d - 92 = -8*d + 3*x - x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y + 350 = 0. Suppose 55 = 3*k + 2*k - f, 0 = k - 5*f - 35. Calculate the highest common factor of y and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 14*h**2 + 12*h - 11. Let j be i(-13). Let a(f) be the first derivative of 3 - 4*f**j - 2*f - 7\/6*f**3. Factor a(u).\nAnswer: -(u + 2)*(7*u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**3\/3 + 17*a**2\/2 - 11*a + 4. Does 10 divide v(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - j - 780. Let h be (-6)\/10 + j\/10. Let n be 215\/h + 2\/3. Solve 0*m - 3*m = -n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12084 = -880*i + 1092*i for i.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-1\/2)*m)**3*(m**0)**(5\/2) assuming m is positive.\nAnswer: m**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/((-15)\/(-5) + -7) - -24. Solve 7 - b = 6*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -693*a**3 - 18*a**2 - 2*a + 21392519 wrt a.\nAnswer: -2079*a**2 - 36*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7060 - 3536 - 16*f**2 - 3525.\nAnswer: -16*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89006 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 287807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(128) + 0))**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2)*(-46 + 46). Suppose t = -3*r, 3*k - 3*r - r = 180. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.01 and 2.83224203?\nAnswer: 2.84224203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p - 21. Calculate o(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - -4. What is the remainder when 43 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 18087836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/17 - 1684*p**2\/17 - 140478*p\/17 - 2798640\/17.\nAnswer: 2*(p - 920)*(p + 39)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94 - 93. Suppose -3*c - i + 80 = 0, 0 = i - 2*i - m. Suppose -30*s + 495 = -c*s. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 5*b + 46 = 0, -2*f - 2762 = 3*b - 2736 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*i = 788*i + 6524 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16907796, -16907789, -16907782, -16907775, -16907768, -16907761?\nAnswer: -16907754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -71063, -141502, -211945, -282392?\n\"Answer: -2*t**2 - 70433*t - 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**4\/4 - 7*f**2\/2 + 16*f. Let d(w) = -4*w**2 + 8. Let o(k) = 4*d(k) + 5*t(k). Differentiate o(n) wrt n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 186 by -2.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 m when three letters picked without replacement from {k: 6, m: 1, n: 1, g: 7}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 - -75. Suppose -14 = -4*l - b. Let q be -2 + 5 + l - (0 + -3). Solve 3 = -5*v - 4*o, 3*v + 24 = -2*v + q*o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001211012 (base 3) to base 16.\nAnswer: -5213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by 1?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/3 (b) -0.4 (c) -0.2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7670 and 4907110.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 370566 to the power of 1\/2, to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + p + 961, 2*p + 948 + 254 = 5*f. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1144635 (base 9) in base 4?\nAnswer: -2113122020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.1 (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -734 (base 13) in base 12?\nAnswer: -862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 79+-821\nAnswer: -742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*q + 10*q + 2*q**4 - 3*q**4 + 1 + 0 - q**2 as c*q**3 + r*q + m*q**2 + d*q**4 + s and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 2 - 3. Let q be (o - 799)\/(-2)*-3400. Round q to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.4 (c) 14\/387\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*q - 17 = 2, v - 4 = q. Suppose 3*m - 90 = 4*r, -4*m - 4*r + 166 - 46 = 0. List the prime factors of (m\/(-24))\/(v\/56).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = c + 40. Suppose -c*h = 598 + 26. Let a = h + 165. List the prime factors of a.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04447858394 - -1\nAnswer: 1.04447858394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 10*p**5 - 24286*p**4 - 180086*p**3 - 433458*p**2 - 365364*p - 87696 = 0.\nAnswer: -3, -1, -2\/5, 2436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 123*l. Suppose -65 = -30*r - 5. Let d(j) = -778 - r*j + 1558 - 780. Determine d(i(x)).\nAnswer: -246*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 - 9*i + 25. Give d(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/9 + 7\/9. Let c = 133\/3 - 44. What is the closest to u in 1, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -10. Suppose -6 = -3*o + b. Suppose a - 2*r - 16 = -2, 70 = o*a - 3*r. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -125 - -429. Suppose 5*l - v = -4*n, -l - n - 179 = -4*l. Suppose 4 = -2*i, -2*i - 7 = -3*h + l. Calculate the highest common divisor of h and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 86*d**2 - 2337*d + 14045. Calculate c(6).\nAnswer: 3119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -177, -2, -0.3, 1\/2 in descending order.\nAnswer: 1\/2, -0.3, -2, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 3) in base 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -24 in decreasing order.\nAnswer: 4, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2883650 is divided by 432?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93 + 12. Let j = t + 43. Let q be 18\/171 + (-72)\/j. What is the highest common divisor of 16 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqpv when four letters picked without replacement from aqaqaaquvapqaapaaa.\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 880319 - 880319.04999988. Let z = -0.05 - s. What is z rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 4*k + 188965 - 188953, 0 = 4*i - 6*k - 18 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 + 123. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17\/6 + -125\/42. Let c = 27 - 25. What is the nearest to 2\/5 in -5, c, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9255413*l**3 + 2740101 with respect to l.\nAnswer: -27766239*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1178456, 1178454, 1178452, 1178450, 1178448?\nAnswer: 1178446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o - 70 = 56. Let m(t) be the first derivative of 1\/8*t**4 + 0*t**5 + 0*t**3 - 1\/8*t**2 + 0*t - 15 - 1\/24*t**o. Factor m(g).\nAnswer: -g*(g - 1)**2*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -121*u**7\/105 - 143*u**6\/30 - 46*u**5\/15 - 2*u**4\/3 - 4*u**2. What is f in m(f) = 0?\nAnswer: -2, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 7*z**4\/12 - 3*z**3\/2 + 10*z**2. What are the prime factors of t(3)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115?\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s - 67*s**4 - 19*s**2 + 140*s**4 - 5*s - 74*s**4 to the form q*s + x + f*s**2 + o*s**3 + v*s**4 and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -619, -154, -9, 0 in decreasing order.\nAnswer: 0, -1, -5, -9, -154, -619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -42120 divided by -72?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-6))\/i)\/(i*i**(2\/3)))**(2\/127)\/((i*i*i*i*i**(-2\/3)*i)\/(i*i**(-5)))**35 assuming i is positive.\nAnswer: i**(-37057\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -0.0470093?\nAnswer: -0.470093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20409 and -3.\nAnswer: -61227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-6) + 3 + -5. Let u = -0.1 - -0.2. Let p = 0 + u. Which is the nearest to -1? (a) s (b) p (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/51 and 127\/1670580.\nAnswer: 28399860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**5 + 7*u**5 + 0*u**5 + 25*u**4 - 25*u**4 + 9*u**5 + u**2 + u**5 - u**2 + (0*u + 5*u - 6*u)*(12*u**4 - 38*u**2 + 38*u**2) - u**5 + 5*u**5 - 3*u**5.\nAnswer: 3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nunnnnu. What is prob of picking 2 n?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -2, -2\/7, 2\/9, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 549*q - 1 + 1 - 611*q to the form m*q + j and give m.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004961842082 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2 + sqrt(11))**2*2.\nAnswer: -8*sqrt(11) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/63*(40\/(-10))\/(-4)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (220\/242 - -6)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -2. Let h be (-12)\/(-4) - l\/(-2). Suppose h = -3*q + 10 + 11. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35 - 2*w - 6*w + 7*w)*(-70*w**3 - 46*w**2 + 46*w**2) in the form n*w + z*w**2 + a + o*w**3 + l*w**4 and give l.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2. Let q = 3516 - 3514. Let g(p) be the third derivative of -5\/24*p**4 + 0*p**3 + 11*p**q + 0 + 0*p. Determine w(g(j)).\nAnswer: 25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49612 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21334195 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2)*6\/(-3). Let z = -2 - y. Let l(c) = 2*c**2 + 4. Is 15 a factor of l(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-903)\/3913 + 1086\/(-26)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -4*t + 58. Calculate the smallest common multiple of 44 and t.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -11*c**3 + 3*c**2 - 3. Let l(v) = -11*v**3 + 4*v**2 - 4. What is -3*l(p) + 4*n(p)?\nAnswer: -11*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/(1\/(-12)) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14854*s - 343856 wrt s?\nAnswer: 14854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/(-5) - (-28)\/(-35)) + 11. Solve -4*w + r*w = -18 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -22. Let n(m) be the second derivative of 1\/36*m**4 - 1\/90*m**6 + 0*m**2 + 1\/18*m**3 + f - 2*m - 1\/60*m**5. Factor n(g).\nAnswer: -g*(g - 1)*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 356 + -342 + (1 - 1)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w - 3. Let k be z(1). Is 3432\/9 + k\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**3 + 184*c**2 + 784*c + 800 = 0?\nAnswer: -2, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 5\/464?\nAnswer: 5\/464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -119 + 69. Let d be (-1570)\/a - ((-2)\/5)\/(-1). What is the highest common factor of d and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 11*y**2 + 12*y + 12. Suppose 12*c + 105 = 7*c. Let j be q(c). Suppose -2*x - 482 = -l + 445, 4*x + j = 5*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*h**2 - h**2 - 2 + 0 - 4*h**2 + 61*h**6 wrt h?\nAnswer: 7320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -245*a**2*j**3 - 2*a**2 + 39*a*j**2 + j**3 - j**2 wrt j?\nAnswer: -1470*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/2*114\/(-15). Suppose -14 = 4*x - u. Suppose 5*k + q = 20, 4*k + q - 2 = 5*k. Solve k*b - z + 15 = 0, -z = z - x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3500152 - 5?\nAnswer: 3500143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92.7 + -93.1. What is the biggest value in -2.2, -0.3, 0.1, d, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-three quarters of a millennium?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 84*b**5\/5 - 35*b**3 + 480. What is the third derivative of m(g) wrt g?\nAnswer: 2016*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*-3 - sqrt(133))*-4)\/(sqrt(70)\/(sqrt(10)*-3)).\nAnswer: -48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -2)*-3 - 1. Let m be (-22)\/b - (-1)\/(-2). Let s(f) = f**2 - 8*f - 31. Let i be s(11). Solve 2*w - 3 = x, i*w - 8 = -4*x + m*w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**4\/4 + 2*k**3 + 3*k**2\/2 - 4*k + 2. Determine s(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + -4*sqrt(114)*2)\/((sqrt(6) + (-2*sqrt(6) - sqrt(6)))*-2).\nAnswer: -7*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - t = 0. Suppose 6*v - 85 - 71 = t. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1952901.\nAnswer: 3, 97, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 14*l. Let g be x(2). Let s = -9 + g. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*(l\/l**(6\/17)*l*l)\/l)\/l*(l**(-1)\/l)\/l)\/((l\/((l**29*l)\/l))\/(l\/(l*l**(15\/4)\/l)*l)) assuming l is positive.\nAnswer: l**(1829\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.27 + -89.27. Which is bigger: u or -5\/8?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + 275)*((-21)\/(-168) - 15\/(-8)). Solve 16*a + 608 - r = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -7. Let j be -1*(-2 + 2\/z). Let m(p) = p - 10. Let n be m(13). Solve -d = -g - 3, -j = n*g - 4*d + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**2)**(-5\/3)\/((l\/l**(-4))\/l*l**3))**(-5\/4) assuming l is positive.\nAnswer: l**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3748 - 3747. Sort g, -4, -1, -17, 3 in decreasing order.\nAnswer: 3, g, -1, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 + 4*h**2 - 5*h**2 + (4 + 4 - 7*h + 5*h)*(5 - 5 - 9*h) + (-h + 3*h + 0*h)*(2*h + h - 2*h) to i*h + j*h**2 + x and give i.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 1806*g**2 + 357607*g - 4549620.\nAnswer: -(g - 1985)*(g - 12)*(g + 191)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84.954 + 105.21. Round y to one decimal place.\nAnswer: 20.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6440, 8103, 9766, 11429?\nAnswer: 13092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 - 86\/7*o - 6\/7*o**2.\nAnswer: -2*(o + 14)*(3*o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1153 + 1072.3. Let p = 81 + i. Which is the third biggest value? (a) p (b) -2\/3 (c) -4 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.278*41535\nAnswer: -11546.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193706 is divided by 149?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -1713*g**3 - g**2 - g - 2. Suppose 2*y = 2*n + 2, 2*n + 10 = y - 2*n. Let r be k(y). What is r rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 4*g - 5. Let f be (-1)\/((-3)\/2*4\/(-24)). Let z(x) = x - 1. Determine f*z(a) + i(a).\nAnswer: a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9886966 is divided by 515.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 2955*c + 287300.\nAnswer: -5*(c - 85)*(c + 676)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -36. What is the remainder when 62 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - w. Suppose 0*j - 3 = -j + u, -2*u = j. Let x be 6\/(j - 5) - -7. Let d(v) = 6*v**2 + 4*v. Let h(o) = x*t(o) + d(o). Let h(b) = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1650735?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, e: 4, u: 3, b: 2, i: 3, h: 2}. What is prob of sequence seee?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*(sqrt(70) + sqrt(70)*-3) - (sqrt(70) + -6*2*sqrt(70)))\/((sqrt(160) + -2*-2*sqrt(160))*6).\nAnswer: -5*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140836348 divided by 4543108.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 - 35*d + 60. Let x(w) = -w**2 - 18*w + 31. Let q(z) = -6*n(z) + 11*x(z). What are the prime factors of q(12)?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 4 (b) 0.3 (c) -0.077 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 16*h**2 + 2*h. Let m be y(0). Let q(a) be the first derivative of 3\/4*a**4 + 3\/10*a**5 + 3 + m*a**3 - 3\/2*a**2 - 3\/2*a. Factor q(j).\nAnswer: 3*(j - 1)*(j + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a + 5 + a**3 + 0*a - 7 + a**2 + 5*a. Suppose 0 = -4*d + 3*v + 9, 2*v + v = -d - 9. Give l(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*i + 9243 = 8033 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 s when two letters picked without replacement from {n: 1, u: 1, j: 3, s: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 80*n**3 + 945*n**2 - 1220*n + 195 = 0.\nAnswer: -13, 3\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -12 (b) -0.05 (c) -1\/2 (d) 14.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16493*v - 3090*v - 3052*v - 3435*v to x + z*v and give z.\nAnswer: 6916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + 0 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 4) + 15\/(720\/784).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1702 and 814.\nAnswer: 18722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 0.0041, -5, -0.4?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3 + sqrt(704) + 0 + 2)*-4)**2.\nAnswer: 1024*sqrt(11) + 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -7*x - 14. Suppose x = 2*l - 10027 - 7503. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.5 + -5.2. Let z = 0.2 - 0.2. Which is the second smallest value? (a) q (b) z (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -74 - 0\/(3 - 0). Let n = -49 - j. What is the greatest common factor of 10 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffffff. Give prob of picking 3 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-2) - -15) + 1. Suppose -h - 5*x + 43 - 6 = 0, 4*x - 33 = -h. Let i = 25 - h. Solve -3*g + i*g = -s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-44)\/4 - -3 - 0. Suppose 2*q - q - 2*t + 6 = 0, -3*q - 3*t + 27 = 0. Let o = q - j. What is the greatest common factor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1261, 1329, 5645, 11687, 19455?\nAnswer: 28949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - i - 4. Let o be f(3). Suppose -g - o*g = 0. Suppose -5*q + 10 = g, 6*q + 13 = c + 3*q. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-98)\/(-32) - 3)*(-39 + 912\/24).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 3435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -178 + 178. Let o be ((-6)\/(-8))\/((-2)\/(-8)). Let q(t) = -2*t**2 - 7*t + 1. Let z be q(0). Sort d, z, o, -3 in ascending order.\nAnswer: -3, d, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -73, -49, 37, 215, 515, 967?\nAnswer: 1601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4 - 1 - 1 + 1 + 5 - 2 - 1 + (-1 - 1 + 0)*(-3 + 1 + 4) + 0 + 1 + 0 + 1 - 4 + 1 - 2 + 1 + 0)*(6741*t - 3189*t + 5555*t).\nAnswer: -36428*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/2))**(1\/77))**(1\/9)\/((c**(-2\/7))**(-2\/103)\/(c*c\/c**(-4)*c*c*c**0)) assuming c is positive.\nAnswer: c**(1141169\/142758)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -663, -670, -689, -726, -787, -878, -1005?\nAnswer: -1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -534 + 558.9. Let t = 0.046 - -26.954. Let m = i - t. What is m rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/648 and 22\/567.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5075212*w**3 + 1800040 wrt w.\nAnswer: -15225636*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10154790 and 180?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-4))\/(8\/(-80)). Let z = 11 + q. Suppose w = z*w - 150. What is the greatest common factor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 12*a + 20. Let b be p(10). Suppose 4*l = 5*q - b*l - 70, 0 = -2*q - 3*l + 5. Is (-12 + q)\/((-2)\/2859) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1889 to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21154 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 798744*m**2 + 798701*m**2 - 1597490*m**2.\nAnswer: -45*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-31.7\nAnswer: 3.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/13 + 773384184*v\/13 + 74765387007668232\/13 = 0. What is v?\nAnswer: -193346046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 - 3 + 3 - 2*m**3 + 5*m**3 - 4*m**3 + (-2*m + 0*m + 0*m)*(2 + 2*m**2 - 2) + m**3 + 2*m**3 - 4*m**3 + (m**2 - 2*m**3 - m**2)*(-1 + 0 + 2).\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4704146 rounded to 3 decimal places?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*d**2*l**2 - 124*d**2*l - 10757*d*l**2 + 8*d*l - d - l**2 + 69*l - 1 wrt l?\nAnswer: -84*d**2 - 21514*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/4)\/v*v*v*v**3 assuming v is positive.\nAnswer: v**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2155216981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 951 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201 (base 3) in base 9?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -534*v + 544*v + 80 = 0, 24*q = 5*v + 112 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 338.319 kilograms in milligrams?\nAnswer: 338319000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3616d (base 16) to base 7.\nAnswer: -1611626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 142 = 8*a + 64, w = 3*a - 32 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkdeddedddddkedddd. Give prob of picking 2 k.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -26 + -5 - (-75 - (-37 - -40))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -16*n**3 - 2*n**2 + 1. Let z be g(-1). Let p(f) = -f**2 + z*f**2 - 3*f + 5*f - 1. Let q be p(1). Solve -2*r = -5*r + q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(468) + -1)**2*2 + -4.\nAnswer: -5632 + 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 11*d + 2. Let b be (-6)\/d + (1 - -1). Suppose -b = -4*l + 15. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**2*d**2*g - 92346*a**2*d**2 - 2*a*d**3*g + 15*d**3 - 246754*g wrt g?\nAnswer: a**2*d**2 - 2*a*d**3 - 246754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**2 + 2*a + 12. Let y(v) = -7*v**2 + 5*v + 26. What is -5*q(n) + 3*y(n)?\nAnswer: -n**2 + 5*n + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 u, and 1 q when three letters picked without replacement from vvquqvvo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-1)**2 - ((sqrt(272) + sqrt(272) + 1)**2 - sqrt(17)).\nAnswer: -1021 - 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 394 - -103?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, e: 1, d: 1, s: 1, h: 3, z: 2}. Give prob of picking 2 h and 1 d.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 15*u**2 - 364*u + 13. What is f(-28)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*x**3 - 57330*x + 57330*x.\nAnswer: -39*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23\/2491 or -5?\nAnswer: -23\/2491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-2) + 0 + 2. Let k be (r\/(10\/2))\/1. Let j be 5 + 51\/(-10) + 5 + 108\/(-20). What is the smallest value in k, j, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20204 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 3. Suppose 0*r - 111 = -3*c + d*r, -122 = -4*c - 2*r. Let n = c - 15. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*k**4 - 230*k**3 + 232*k**3 - 3*k**4 + (1 - 2*k**4 - 1)*(0 + 4 + 0) - 213*k + 5*k**4 + 213*k.\nAnswer: -15*k**4 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 72091.54 centuries in millennia?\nAnswer: 7209.154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -334.73 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u. Suppose 124 = 4*a - u*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39506 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 2:22 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 1101*k - 10 + 9 + 13.\nAnswer: 1101*k + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 68184792 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -81, -69, -37, 21, 111, 239?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gwqiqigw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.881831 millilitres to litres.\nAnswer: 0.000881831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.12 * -0.9.\nAnswer: -3.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -0.1, 0.1, -5610, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1049 and 405231847?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 32387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1062 and 0.46794.\nAnswer: -0.049695228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283045.\nAnswer: 5, 7, 8087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -125*s**6\/6 - 202*s**5 + 1835*s**4\/2 - 3700*s**3\/3 + 1055*s**2\/2 + 110*s - 524. Solve p(c) = 0 for c.\nAnswer: -11, -2\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -394, -376, -348, -310, -262?\n\"Answer: 5*t**2 + 3*t - 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 142 = u, u - 170 = 4*h - 28. Suppose v - 137 = -2*b, 4*v = -2*b + u + 4. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.09652 + 0.096525727. What is r rounded to 7 decimal places?\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1061\/90 + 205\/18. Which is the closest to 4\/13? (a) -0.2 (b) 6 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*v + 49 + 2371*v**2 - 8*v + 11*v - 51 wrt v?\nAnswer: 4742","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41\/238 + -1\/34. Suppose -2*h + 3*g + 2 + 5 = 0, 0 = 5*h - 3*g - 22. What is the closest to 2\/11 in b, h, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152460609 to the power of 1\/2, to the nearest integer?\nAnswer: 12347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 h when three letters picked without replacement from {h: 2, o: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2450631 rounded to 4 decimal places?\nAnswer: -0.2451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35c06 (base 16) to base 11.\nAnswer: -140461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*w**4 - 2*w**2 - 365*w - 4800 wrt w?\nAnswer: -76*w**3 - 4*w - 365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + s**2 - s + 7. Let m be z(0). Let r(j) be the first derivative of -j**3\/3 + 4*j**2 - 5*j + 113. Let a be r(m). Are -0.04 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-14))\/(6\/(-15) - 169\/(-260))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1053 (base 14) in base 5?\nAnswer: -42232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, i: 10}. What is prob of picking 2 i?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 25 = -5*x, -5*x - 9*z - 15 = -5*z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 42*t**2. Let h(y) = -y**3 - 3*y**2 - 3*y. Let z be h(-2). Let x(r) = 5*r - 14*r + 6*r + z*r. Give i(x(c)).\nAnswer: 42*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 129925 to the power of 1\/2, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-4 - (3 - 6 - 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -26*o + 1101. Let m be l(41). Solve 4*z + m = -3*v, -z - 9 = -3*v - 19 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 2*u - 10. Calculate the smallest common multiple of u and (-8)\/5*(-55)\/22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a - 11 = -12*a. Is 1618*(-39)\/(-26) + 0 + a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366*c + 240*c = 24846. Solve 0 = v + c*v + 294 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 + 46*m - 429. Let f be d(-22). Solve i + 56 = 5*p + 27, -p = 4*i + f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-25) + 14\/5. Suppose 3*v = -w*s + 6, -10 = v - 3*v + 4*s. Let h be 0 - v - 0 - -45. What is the highest common factor of 28 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-4) + (-506)\/44. List the prime factors of (34\/3)\/(j\/(-30)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 9*u**2 + 9*u + 3. Let p(h) = -27*h**2 - 26*h - 10. Let r(x) = -4*p(x) - 11*z(x). Is r(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7e - 273cd?\nAnswer: -2734e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2595*d - 1588*d + 3763*d + 307335 + 69495 for d.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5. Let c be h*(-3 - -3 - -23). Which is smaller: -22 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 w, and 2 e when four letters picked without replacement from weewv?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**3 + 3*u**3 - 3*u**3 - 2*u - 4*u**3.\nAnswer: -4*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1494)\/33 + -2 + ((-330)\/275)\/(110\/(-25))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -2 + (-14 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2599 is divided by 1655?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 45*234\nAnswer: 10530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7846641, 7846680, 7846719, 7846758, 7846797, 7846836?\n\"Answer: 39*k + 7846602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -197\/103 - -344647\/180250. Which is greater: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40141303 (base 5) in base 6?\nAnswer: 10453424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*a**4 - 16751*a**3 + 77758?\nAnswer: -20*a**3 - 50253*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3, 0.5, -17, -96?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 327\/36*4 + 2\/(-6). Suppose 3*d = 5*h - m - 4, 0 = 5*h - 4*d - 45. Solve 13 = -2*b + h*z, b + z = 3*z - 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2 - 26500246*l - 26500247 = 0.\nAnswer: -1, 26500247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -447\nAnswer: -3\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62018053 is divided by 109?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -173\/27 at most as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 3\/20*l**5 + 0*l**2 - 1\/6*l**3 + 1\/30*l**6 - 2 + 15\/4*l**4 - 7*l. What is the third derivative of v(a) wrt a?\nAnswer: 24*a + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 - -45.099. Round n to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0. Suppose 0 = -2*u - 6, -g + f*g + 5*u = -14. Sort 0, 3, g in ascending order.\nAnswer: g, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83172887939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*t**3 - 5*t**3 - 11*t**3)*(2 + 11 + 6) as d*t + j*t**2 + f + p*t**3 and give p.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-425952)\/510)\/116*(-10)\/(-66)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -18 + 2. Let b(c) = -c**3 - 3*c**2 + 3*c + 1. Let l be b(q). Suppose -t + 28 = -5*n - l, 0 = -4*t - 5*n + 107. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n - 3 = -9*n. Let y be ((14 + 2)\/4)\/(n\/(-155)). What is the units digit of 8*2\/(-10)*y\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 961769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 k, and 1 i when three letters picked without replacement from {d: 1, f: 1, s: 1, k: 1, i: 3, e: 5}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -38*f - 54. Let d be p(28). Let m = d + 4039. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-5) - 224\/(-360). Let s = 19.2 + 8.2. Let w = -27 + s. Which is the closest to -0.1? (a) 1\/7 (b) w (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 6:24 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -132043 (base 6) in base 14?\nAnswer: -45bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -20*n**2 - 6308*n + 1154. Give d(-316).\nAnswer: -2638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001322 rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*k**3 + 25*k**3 - 112*k**3 + 22*k**3 + 21*k**3 + 22*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0358 - 152.85?\nAnswer: -152.8142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 788*l**4 + 256?\nAnswer: 3152*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 135823, -2\/13, 2\/3, -1\/1178?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89643830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*v - 3*g - 9 = 0, -3*v + g + 3 = 0. Suppose -2*b + 5*d + 54 = 0, v*d + 5 = b + 3*d. Let w = -9 + b. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 269 + 34. Suppose 912 = 7*m + c. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (250\/1200)\/((-51)\/544)?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 13) to base 6\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 106*q - 2106. Let p be z(20). Let x(t) be the second derivative of -p*t + 0*t**3 + 0 + 7\/2*t**2 + 1\/2*t**4. Differentiate x(w) wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**5*l*l\/(l*l**(1\/2))*l)\/(l**(-5\/3)*l*l*l*l\/(l**(2\/3)*l)*l) assuming l is positive.\nAnswer: l**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*o - 34*o - 65*o)*(-2 + 94*o - 96*o + 0 + 4*o**2).\nAnswer: -268*o**3 + 134*o**2 + 134*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -30, -29, -4, 37, 1 in descending order.\nAnswer: 37, 3, 1, -4, -29, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49889720?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 385 - 386. Let q = 22 - i. What is the greatest common divisor of 23 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -185 by 7.\nAnswer: -185\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 7*w**2\/2 + 2*w + 5. What is the derivative of i(p) wrt p?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13146.9597 minutes in weeks?\nAnswer: 1.304261875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285812.\nAnswer: 2, 71453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p - 73 + 64 - p. Let v be h(3). Suppose v*o + 110 = 5*m, 5*o + 21 + 45 = 3*m. Solve 2*l - m = 5*y - y, 4*y + l + 19 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -60 - 46. Suppose 4*o = y + 59. What is the highest common factor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4992 - 14585*a**4 + 864*a + 68*a**3 + 642*a**2 - 14593*a**4 + 29181*a**4 + 13*a**3.\nAnswer: 3*(a - 2)*(a + 8)**2*(a + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8461 - 317*q + 8461)*(-3*q + 3*q - q) to the form n + v*q + j*q**2 and give j.\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85.952 - -0.048. Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -312, -316, -322, -330?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -14. Let v = q - 3. Suppose v*w + w - 4 = 0. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 - -53. Let t be (c + 1)\/(-4)*-20. Suppose 4*l + t = 21, -3*g + 4*l + 41 = 0. Solve 5*m - 34 = 2*z + z, -2*m = -3*z - g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(952\/(-84))\/(-34). What is the third smallest value in -5, n, 5, -57?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -120411053 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**3\/(w\/w**27)*(w\/(w\/(w**(-32)*w)))\/w*w*(w\/(w*w**(20\/11)))\/w*w assuming w is positive.\nAnswer: w**(-42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w. Suppose 294*d + 630 = 315*d. Let l = -3 - -5. Let s(r) = 18*r**l - 4*r**2 + d*r**2. Calculate s(b(h)).\nAnswer: 44*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 - 698062*o + 1396122.\nAnswer: (o - 1396122)*(o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/46 in -65, -2\/3, -330, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) -3 (c) -2\/3 (d) -33 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 577 is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 6) in base 3?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/1994 and 79\/2?\nAnswer: 1994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 15 = -r, -1914*p + 1916*p + 3*r = 17 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -600*d**3 + 4*d**2 + 4*d + 629. Let i(x) = 1199*x**3 - 7*x**2 - 7*x - 1258. Let a(w) = -4*i(w) - 7*s(w). What is the derivative of a(j) wrt j?\nAnswer: -1788*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 7 = -2. Suppose -2*n - 3 = -k. Solve n*f = f - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1284874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92 - 5*g**3 + 12911*g**2 - 12911*g**2 - 47 + 4*g**3.\nAnswer: -g**3 - 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.8 and 949005.\nAnswer: -7402239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 13 = 2. Let y = -11 - -11.3. What is the smallest value in y, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 55*h**5 - 4795*h**4 + 22740*h**3 + 56020*h**2 - 362320*h + 393600 = 0. Calculate h.\nAnswer: -4, 2, 24\/11, 5, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 12*c + 7. Let y be s(10). Suppose -5 = v - 6. Let r be v*4\/6*6. Solve 0 = r*h + 5*m + 3, -4*h + 9*m - 4*m = -y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 6 (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00027321 rounded to five dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, y: 1, s: 1, g: 2, r: 7, i: 3}. What is prob of sequence sgvy?\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18404339549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.859985 kilograms?\nAnswer: 859985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 30 = -5*b, -2*t = 3*t + 5*b + 15. Put 12, 1, t in increasing order.\nAnswer: t, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/12 and 25\/15692.\nAnswer: 47076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**4\/8 + a**3\/6 + 21*a**2 - a. Calculate v(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 9. Suppose -10 + 0 = -2*b + 3*m, 0 = -3*b - s*m + 15. Calculate the highest common factor of b and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*g - 100 + 2 - 192 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 6:41 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 3:59 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11600 times -5\nAnswer: -58000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/11, 3\/2, -0.5, 13, -1, -2.1 in descending order.\nAnswer: 13, 3\/2, -4\/11, -0.5, -1, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7488 = 757*m - 748*m. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2210203000100 + -3?\nAnswer: 2210203000031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -10, -37 in descending order.\nAnswer: -3, -10, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15514731*d**2*o**3 + 4706071*o**3 - 7*o wrt d?\nAnswer: -31029462*d*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 190893*a + 8781081. What is f(-46)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001859369 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6112881 and 234987.\nAnswer: 3219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - 8)*1*-1. Let l = c + 18. Suppose -2*p - 5*k + 19 = 0, -21 = 5*p + 3*k - 40. Which is bigger: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473 is divided by 150?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3947166 to the power of 1\/2, to the nearest integer?\nAnswer: 1987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 8. Suppose 0 = -2*c - 2, 3*b + g*c - 7 = 3*c. Calculate the least common multiple of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -19*o**2 + 0 + 31*o**2 - 14*o + 4. Is 13 a factor of v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 - 3*z**2 + 4*z**2 + 0 + z**2 + 0 + (-970*z + 2261*z + 1283*z)*(2*z + 0 + 0) as i*z**2 + c + a*z and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*a + 21348 = 1306*a for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3186 and 4127238?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96454?\nAnswer: 2, 29, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 5*f + 3. Suppose 0*t + 15 = 5*t. Let y be r(t). Let w be 2 - (-4 + 1 + y). Solve a = 5, -2*b + 11 = 5*a - w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155406.314 rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 68419176 divided by -34209588\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -281 and 0.8.\nAnswer: -224.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10630 + 4222. Suppose -12*g + f = 35*g. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447*r - 8*r**2 + 843*r - 396*r.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 62baf8 - -1?\nAnswer: 62baf9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33 and 1966228?\nAnswer: 64885524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/1709 or -1?\nAnswer: -8\/1709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 5 = -5*r - 3*u, u + 2 = -2*r. Suppose 0 = -3*d + 5*s + 26, 5*s + 15 = -d - 3. Let f(q) = -22 + 2*q - 21 + 44 + d*q. What is f(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**5\/20 - f**3\/6 - 11*f**2\/2 - f - 4. Determine o(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.735 rounded to one dp?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 - 44*f**2 - f - 5. Let q be y(22). Let t be (118 - q) + -2*(-3)\/2. Are 148 and t equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2. Let s(w) be the second derivative of -2*w + 0 + 1\/3*w**4 + 0*w**2 + 0*w**3. Calculate u(s(c)).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12102 (base 3) to base 11\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 2421*r**4\/2 + 1795*r**3\/3 - 2992. What is the third derivative of d(b) wrt b?\nAnswer: 29052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -909963, -4\/7 in ascending order.\nAnswer: -909963, -4\/7, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3 + f**2 + 2*f**2 - 1 - 2*f. Let v(d) = 3*d + 1426634 - 1426632 + 2*d**2 - 5*d. Determine -4*g(y) + 5*v(y).\nAnswer: -2*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 1022*w**2 + 191384*w + 378688.\nAnswer: (w + 2)*(w + 244)*(w + 776)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1856913 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 792 less than 0.0326?\nAnswer: -791.9674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0538 less than 0.214?\nAnswer: 0.1602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146597 - 58011. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -44, -24, 18, 88, 192, 336, 526, 768?\n\"Answer: y**3 + 5*y**2 - 2*y - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {d: 5, q: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, -5, -635 in descending order.\nAnswer: 1, -5, -7, -635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 10*n**2 - n + 14. Give g(-9).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -77 divided by -11\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27978, -64551, -101126, -137703, -174282, -210863, -247446?\n\"Answer: -m**2 - 36570*m + 8593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153297870?\nAnswer: 2, 3, 5, 11, 464539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + 19*r**3 + 38*r**3 - 59*r**3.\nAnswer: -2*r**3 - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*t + 54*t**2 - 37*t to the form n*t + o*t**2 + p and give o.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -172 and -51267.\nAnswer: 8817924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 466 and -3.583.\nAnswer: -1669.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14867 is divided by 236.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 3. Give h(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -27558 (base 11) to base 7\nAnswer: -222324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.17395 in 42, 0.1, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20380 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 110 = 5*i - 78, 4*i + c = -20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, k: 1, l: 2, h: 1}. What is prob of picking 1 h, 1 k, 1 l, and 1 p?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 179*m - 660. What is r(-4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) + sqrt(88)*-1*-4 - sqrt(88)) + sqrt(88) - (-4*sqrt(88)*1 - sqrt(88)))*3)\/(3*sqrt(40)\/(sqrt(20)\/(2*sqrt(4)))).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - -4. Let h be q - (2 - 5)\/3. Let t be 2\/12 + (-2)\/12. Solve t = -2*r - 3*r - h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/8 - 1\/(-14). Let n = 0 + -3. Let x be 1*n*(-14)\/(-70). What is the second smallest value in x, 5, p, -3\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/9 (b) -4 (c) 0.4 (d) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -22\/9*u**3 - 28\/9 - 26\/3*u**2 + 2\/9*u**4 - 82\/9*u = 0.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*z**2 - 13*z**2 - 21*z**2 - 36*z**2 - 20*z**2 + 110*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -59*k + 9. Let h be o(-4). Suppose 0 = 2*a - 10, -m - 4*a = -4*m - h. List the prime factors of m\/(-1 - (2 - (-12)\/(-8))).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/13 + 246*w\/13 + 11060\/13.\nAnswer: -2*(w - 158)*(w + 35)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 262*w**3 - 13*w + 2. Let i(d) = 132*d**3 - 6*d + 1. Determine -13*i(j) + 6*s(j).\nAnswer: -144*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3205)\/((-3)\/(-1) - 2). Let r = x + 64077\/20. What is the common denominator of r and -27\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 50939055883.\nAnswer: 50939055879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 948 by -4.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24621232?\nAnswer: 2, 29, 47, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + (-6)\/(-4))*-2. Let r = 2.7 - 51.7. Let y = -48.8 - r. Which is the fourth biggest value? (a) 2 (b) y (c) l (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*j**2 + 329*j**2 - 152*j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 16*r**2 + 2*r - 27. What is v(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 227508, 455009, 682510, 910011, 1137512?\nAnswer: 1365013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -68a9a3aa + 5?\nAnswer: -68a9a3a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6555713.8 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17421 is divided by 46?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*265\/8*7*3\/105?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j**(-7)))\/j**4)\/(j\/(j*j\/j**2*j)*j)**21 assuming j is positive.\nAnswer: j**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.063 times 0.144\nAnswer: -0.009072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v - 3 + 3)*(-2 - 3 + 4) - 1 + 1 + v to the form t + i*v and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*y - y = -10, 0 = -b - 4*y + 25. Suppose -k = -b*k + 2*f - 60, 0 = -k + f - 17. Let r = 14 - k. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*n = 65. Let d = -12 + n. Let w be ((-2)\/(-28))\/((-2)\/4). Is w less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2795 is divided by 2787.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241702 is divided by 5386?\nAnswer: 4718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 27*w + 5 + 66*w - 46*w.\nAnswer: -4*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(-1))*w\/(w*w\/(w*w\/(w\/w**(-26))*w)))\/(w**(1\/4))**(10\/9) assuming w is positive.\nAnswer: w**(-473\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 5:30 AM?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -46*v**2 + v - 6*v - 6 + 47*v**2 + 2. Suppose 3*s + 2*s - 7 = 2*x, -5*s = -25. What is the tens digit of p(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -23. Let s = w - -17. Is s at least as big as -4\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000312554 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 13) to base 8.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1169 - -0.0418?\nAnswer: 0.1587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 + -6117?\nAnswer: -6049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -7)*1*4. Suppose -5*h + 19 = -3*j, -2*j - 11*h = -10*h - 9. Let n = j - a. Is n greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/14 and -93\/55585622.\nAnswer: 389099354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3664400 plus 0.132398?\nAnswer: 3664400.132398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1037\/(-183)*12\/(-8)*2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34594 and 4097624?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 0. Let u = -70 - -63.7. Let h = u - k. What is h rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1180999, -1180638, -1180277, -1179916?\nAnswer: -1179555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -z - 2. Find the second derivative of 6*y**z + 10*y**2 - 11*y - 10*y**5 - 16*y**2 wrt y.\nAnswer: -200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)*n*n*n**(-4\/7)*n\/(n\/(n*n\/(n**(-4)*n)*n))*n*n**(-2)\/n)**(1\/23) assuming n is positive.\nAnswer: n**(31\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7438691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and -24.\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 13*b - 118. Determine r(0).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.054 - 1.946. Let n = 22\/3 + -98\/15. Which is the closest to 0.1? (a) v (b) 0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 261*f. Let v(b) = 223*b - 3. Let h(o) = -149*o + 2. Let n(c) = 6*h(c) + 4*v(c). What is n(z(w))?\nAnswer: -522*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u + 3. Let l = -9 - -11. Let n be o(l). Find the third derivative of -1 + 1 - n*c**2 + 7*c**6 - c**2 wrt c.\nAnswer: 840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1887*p - 16 + 2 + 56 + 25.\nAnswer: 1887*p + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*j**3 - 34*j**3 - 41*j**3 - 38*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.73354817 to two decimal places.\nAnswer: 0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 32131, 32270, 32409?\n\"Answer: 139*t + 31992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111001011101001100111 (base 2) in base 11?\nAnswer: -2279162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*c + 12*c + 3*c - 2*c**2 - 2*c**3 + 2*c**4 as o + v*c**3 + k*c**4 + j*c**2 + d*c and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**6\/60 + t**5\/60 + t**4\/12 + t**3\/6 - 11*t**2\/2 + t - 61. Let y(q) be the second derivative of h(q). What is y(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1244841 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -25.3 times -13.9\nAnswer: 351.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 69859499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*4 - (-3)\/(-1). Solve -w = -n + 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2536742 by 86.\nAnswer: -29497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 8*l**4 + 0)*(-1 - 2 + 2 + (-2 - 2 + 2)*(13 - 3 + 9)).\nAnswer: 312*l**4 + 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (0 - -1) - (-1)\/1. Let w(g) be the second derivative of 1\/4*g**4 - q*g + 0 + 1\/3*g**3 - g**2. Calculate w(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/6, 0.018, 5, 1.3.\nAnswer: -1\/6, 0, 0.018, 1.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 98225387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 157 - 51 - 50 - 448*u + 446*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**2 - 3 - 1 + 3*k**3 - 2*k**3 - 2*k**3 - 3*k. Calculate the least common multiple of t(-5) and 1\/(((-3)\/12)\/(4\/(-16))).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1199775136?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 984196*v - 12. Let b(k) = -2*k. Calculate b(q(f)).\nAnswer: -1968392*f + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*h, 7*u + 2*h + 16 = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - 2*sqrt(204))*1)\/sqrt(12).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -11*m - 1. Suppose -3*p - 5 = t, 6*t = 2*t - 5*p - 13. Let g be (-2)\/1 + 0\/(5 + t). Calculate the remainder when 54 is divided by x(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12245385 to the power of 1\/2, to the nearest integer?\nAnswer: 3499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 607, 4298, 14299, 33766, 65855, 113722?\nAnswer: 180523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 2*n**2 - 4*n - 4. Let u(l) be the first derivative of -l**2 + 17*l - 15. Let p be u(10). Calculate the remainder when 33 is divided by w(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*u = 24 + 57. Suppose -a = a + 5*d + 25, 0 = -3*a + 2*d - 9. Put 0, a, u in decreasing order.\nAnswer: 0, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9206 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2756 divided by -1?\nAnswer: -2756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4159559*y**4 - 5282440*y**2 wrt y?\nAnswer: 99829416*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83653?\nAnswer: 83653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23474189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3 - 7*g**3 - g**3 - 2 + 3 wrt g?\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -306 - -110. Is 6 - (0 + 3) - s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87 and 55158.\nAnswer: 55158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 4*o = -9, 66*p = 80*p - 2*o + 54 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.5 (b) 1\/8 (c) 57\/8 (d) 24 (e) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8333218?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 1. Let v = 1319 + -1321. Let k(n) = 3*n - 4. Let s(b) = b - 1. Let t(c) = k(c) - s(c). What is v*t(m) + 7*w(m)?\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0785 and 188.\nAnswer: 187.9215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (220\/50)\/((-2)\/(-20)). Let f = y - 23. Suppose 4*h - 3*n = n + 84, -4*n - f = -h. Calculate the highest common factor of h and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-13))**(-1\/14)\/(u**(-10\/3)\/u**(9\/4)) assuming u is positive.\nAnswer: u**(541\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40*m**2 + 44*m - 14628 wrt m.\nAnswer: -80*m + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81.9872 + -88.83. Round j to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -204, -504, -934, -1494, -2184?\nAnswer: -3004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3) - ((-44)\/30)\/(-2). Do s and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15472 = -318*p - 1229*p - 237*p + 11288 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10816 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 71610.\nAnswer: 71587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1498? (a) -0.598 (b) -2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/(-4))\/(610\/(-488)*(-6)\/(-30))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1106 and 60672?\nAnswer: 424704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(176)*1 + -1 + (-1*sqrt(1375))\/sqrt(5) + -5))**2.\nAnswer: 432*sqrt(11) + 1692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.11, -1\/5, -0.7, 3, 1\/4, -5, -2?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 13 - 19 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 2. Suppose -3 = -a, 2*a - d = -v - 0. What is the third biggest value in v, -4, 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**2 + 45243432*l - 90486848 = 0.\nAnswer: 2, 11310856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3. Let z(x) = -4*x**3 - 6*x**3 + 13*x**3 - 4*x**3. What is -5*a(k) - 4*z(k)?\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 23 + 2 - 19 - (-26 - 45)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 390*k**3 + 255*k**2 + 30*k. Let o(u) = -195*u**3 - 127*u**2 - 14*u. Let w(f) = -15*o(f) - 7*y(f). Find the third derivative of w(z) wrt z.\nAnswer: 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -174 by -87.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 81*p + 1113 + 21 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*s = 27*s - 51 - 60 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -558355800 rounded to the nearest one hundred thousand?\nAnswer: -558400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 3*q - 75, -258483*q + 258462*q = -5*j - 525 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/5395 and -35\/143.\nAnswer: 59345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1506)\/15)\/((-6)\/90). Suppose 0 = 3*i + 3*b - m, -5*i + 2480 = -0*b - b. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7109304 is divided by 229?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22.1 + -28. Let k = 5 + g. What is the nearest to k in 3, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324 - 650 + 326 - 52*o.\nAnswer: -52*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (304*(-23)\/(-736))\/((-1)\/(-2)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b7 (base 15) in base 5?\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -51*x**7\/70 - 7*x**4\/8 + x**3 + 328*x**2. What is the second derivative of n(u) wrt u?\nAnswer: -1836*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 211 = -s, -3*l - 2*l = -3*s + 213. Calculate the least common multiple of 3 and ((-24)\/(-7))\/((-6)\/l).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/30)\/((-955)\/(-1719)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/11, 1\/4, -0.09, -1, 5, 0.046?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21302141 - 1.7?\nAnswer: 21302139.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 146\/49107?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*x - 33. Let u be (4\/(-5))\/((-4)\/x). Find the second derivative of 4*g - 6*g**u + 5*g**2 - 2*g wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197478?\nAnswer: 2, 3, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (39 - 16 + 26)*(34*o**4 - 23*o**4 + 24*o**4) in the form f + y*o**3 + n*o + c*o**4 + v*o**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*r + 86*r - 690 + 694)*(0*r - 6*r + r + (r - r - r)*(-3 + 3 + 2)).\nAnswer: -1078*r**2 - 28*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -156789 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 829, 2197, 3567, 4939, 6313, 7689, 9067?\n\"Answer: v**2 + 1365*v - 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -1171*o**2 - 7024*o + 12 = 0. What is o?\nAnswer: -6, 2\/1171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2*x - 392 = -400, -3*x = -5*m + 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509741*n + 184174 - 184174 + n**3 + 509741*n.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*y - 7*y - 30438 = -35928 for y.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.143 + -6.557. Let y = w + 7. Which is bigger: 8 or y?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*q + 0*q + 4*q)*(q**2 + 0*q**2 + 0*q**2) - 4*q**3 + 3*q**3 + 3*q**3)*(3 - 1 - 1)*(0 + 0 - 1) - 179*q**3 - 214*q**3 - 64*q**3.\nAnswer: -461*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*q + q. Let g be (-6 - -2)*(0 - q). Let i(z) = 2*z**2 + 5*z - 5. Is i(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 25278 = 7*g. What is the tens digit of (g\/4 - 3) + 24\/16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 3*d**4 + 2*d**4 + 4*d)*(48 - 2932*d - 48 + 1267*d).\nAnswer: 1665*d**5 - 3330*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 75109*f**3 - 4*f*k**2 - 1008418*k**2 wrt f?\nAnswer: 225327*f**2 - 4*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -1\/6*n**3 - 8*n + 8*n**2 - 8. Let z(a) = 3. Determine 2*c(h) - 11*z(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 8:55 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(18\/3)*30\/35.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 0*t + t - 8 + 7. Let m be p(-4). Let a(h) = -h**3 - 6*h**2 - 6*h + 4. List the prime factors of a(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2, 8, -1\/39?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w + 1. What is the smallest common multiple of 6 and v(-5)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(200))\/sqrt(10) - sqrt(20))\/(sqrt(4) - sqrt(256))*1.\nAnswer: 2*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 544.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**5\/20 + f**4 + 3*f**3 + 15*f**2 - 3496*f + 2. Calculate v(-10).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-2079)\/(-798) - 2\/19)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -2*r**3 - 7*r**2 - 214*r - 1. Let h(v) = -8*v - 9. Give 5*g(j) - 8*h(j).\nAnswer: 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 39*h**3 - 14*h**2 - 6*h - 9. Let d(u) = 110*u**3 - 41*u**2 - 17*u - 26. Determine 6*d(l) - 17*x(l).\nAnswer: -3*l**3 - 8*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 120731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11803*u*z - 139*u wrt z.\nAnswer: -11803*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -s - 8, 2*s + s - 12 = -3*x. Suppose -s = -p - p. Calculate the remainder when 8\/(-6)*18\/(-4) is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630000 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22592005 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 4, 25, 54, 91?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/8)\/(1\/12*2). What is the least common multiple of (-720)\/(-25) - 12\/u and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 - 1. Let z be r(1). Let g be (6\/(-5))\/(13\/(1820\/448)). Which is the third biggest value? (a) z (b) -1 (c) g (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 3*o = 10665, 4*i - 158*o - 3551 = -153*o. Sort 3, -1, i in descending order.\nAnswer: i, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -2 + 0 + -4 + (17 - (66 + -56)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 957267742?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(-30) - 16\/(-15). What is the second smallest value in q, -0.3, -1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1598218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3672534, -7344976, -11017418?\n\"Answer: -3672442*f - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29, 40, 41, 32, 13, -16?\n\"Answer: -5*f**2 + 26*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -4. Calculate the lowest common multiple of (3 - (0 - -3)) + 6\/3 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/347 - -1379\/1041. Suppose 0 = -2*l + l + 4. Which is the third biggest value? (a) -5 (b) l (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -196.99 - -197. Let l = 8.43 + -8. Let v = l + o. What is v rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.07 (b) 12\/25 (c) 2\/9 (d) 1\/6 (e) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 122784.\nAnswer: 122784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 1:27 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 15 - 4*v + 78 + 95 + 3*v + 30.\nAnswer: -v + 155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1574.2 + -1574. Which is the closest to 1\/3? (a) 2 (b) z (c) -4 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/3 + 2\/3. Let o(c) be the third derivative of c**4\/12 - 133204*c**2. Give o(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(-6))\/(114\/(-16)). Let m = l + 2\/171. Let v = -0.8 + 1.3. Put m, v, -0.5 in descending order.\nAnswer: v, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, d: 2}. What is prob of sequence od?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - r = -54. Let l(i) = -r - 13*i + 0*i - 3*i - 4*i. Let n(s) = -41*s - 18. Let d(m) = 5*l(m) - 3*n(m). Differentiate d(a) wrt a.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -496 (base 16) in base 12?\nAnswer: -81a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1169930.\nAnswer: 2, 5, 116993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19881125.\nAnswer: 5, 11, 19, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, r: 3, j: 1, h: 1, y: 5}. What is prob of picking 1 r, 1 j, and 1 h?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, z: 1, k: 1, d: 2}. Give prob of sequence zddk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 164*d**2 - 225*d**2 + 63*d**2. Let k(x) = 835*x. Give c(k(i)).\nAnswer: 1394450*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -2. Let y(d) = 0 - 14 + h*d + 4 + 0. List the prime factors of y(8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422214 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/5)\/((i\/i**(-7))\/i))**4 assuming i is positive.\nAnswer: i**(-128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/(3 - 7)*82\/(-4920)*4?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 - n**2 - 3*n + 0*n**2 + 3 - 3*n**2. Let o be d(-3). Let m = o + 10. Calculate the lowest common multiple of m and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -104 equal to -104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5761934*h. Let o(p) = 3*p. Calculate v(o(y)).\nAnswer: -17285802*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 5*y - 2. Let l be a(-4). Suppose -5 = l*b - 3*b, c - 94 = -3*b. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -5505444032?\nAnswer: 5505444041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006494 rounded to 7 decimal places?\nAnswer: 0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -212*d**2 + 0 - 12 + 12 in the form g*d**2 + o + k*d and give g.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**2 + u. Let d be r(-1). Suppose -4 + 2 = -p, 5*z - 86 = d*p. Is 2 + -2 - z\/(-3) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 450 + -653. Let n = 6 - y. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -438, -1145, -2300, -3999, -6338?\nAnswer: -9413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/629, 0.27, 0.05218 in descending order.\nAnswer: 0.27, 0.05218, -3\/629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000749016 rounded to 7 decimal places?\nAnswer: 0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2149 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 22*x = 4, x + 2938 - 2936 = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*s + 87 + 255 - 34*s + 205 - 117 to the form l*s + p and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.42895 (b) -0.3 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2 + 8. Suppose 2*v + k*u = 89, -2*v - 213 = -7*v + 2*u. Let d = 38 + v. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1277399 and 1277720 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(2448) + 3.\nAnswer: 4 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - (11 + -61)) + -55\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30.7983 in 0.07, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -0.011\nAnswer: 0.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from offbhii.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-3)*(-11)\/(1650\/36).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*22\/99*1\/(4\/14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(540)*-1 + sqrt(540)))\/(4*(sqrt(12)*-2 + sqrt(12))))\/(sqrt(225)*-1*-5 + -1*(sqrt(225) - sqrt(225)*-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*r + 38*r - 12 = 0. Suppose -l = 1 + 2, -3*s + r*l = 78. Which is smaller: s or -28?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8834900 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-222)\/(-518))\/((-1)\/(1*-7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 14, 86, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -4) + (19 - -4) + -4\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f. Let s(r) = 2*r**2 + 115*r. Give s(t(w)).\nAnswer: 50*w**2 - 575*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 4:29 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, p: 7}. What is prob of sequence ppwp?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 17*s**3 + s**2 - 6*s - 41. What is the units digit of w(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 8 + 20. Is (15\/(-2))\/(r\/10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r - r - r)*(-r + 0*r + 3*r) + 2*r**2 - r + r - 4*r + r**2 + 4*r + 3 - 2*r**2 - 3 + (-r + 4*r - r)*(-4 - r + 4) + 2*r**2 + 4*r**2 - 3*r**2.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-8 - 1 - 1). Suppose 4*q - 2*q + 3*h = -12, -h + 7 = -3*q. Let u = q - w. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2381 - -2397. Solve x = 4*m + 4*d, 0 = 58*m - 55*m - d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 877 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*t**2 + 7*t**2 + 13*t**2 + 6*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 316 - 8*a**2 - 15*a**2 + 20*a**2 - 316. Let c(y) = 6*y - 22. Give c(g(t)).\nAnswer: -18*t**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**6\/24 - g**3\/2 + g**2 + 2*g. Let k(w) be the first derivative of x(w). Differentiate k(r) wrt r.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -6*x + 4*o, x + 4*o + 20 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 211\/6, -0.1908, -2\/13 in increasing order.\nAnswer: -4, -0.1908, -2\/13, 211\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*s - 11*s + 68*s - 16*s - 9*s - 10*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1112\/1017 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 454 - 1350 = 0. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**3 + 6. Let r(y) = 3*y**3 - 7. Give 6*h(c) + 5*r(c).\nAnswer: -3*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 220 + 12008?\nAnswer: 12228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9933, -23242, -36551, -49860?\nAnswer: -63169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 156520 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88316797 is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9410117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 310027, 310029, 310031, 310033?\nAnswer: 310035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 4*w**2 - 16*w - 6. Give o(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.6937011 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -7. Let c = 82 + -48. Suppose 2*f + 0*k = 4*k + c, -4*f = -k - 47. Calculate the remainder when f is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 4*z - 2. Suppose 0 = -4*l - 0*l + 20. Suppose 5*a - 8 = 17, -l*y + 3*a - 35 = 0. Calculate m(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjcjvbv. Give prob of picking 1 j and 1 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - z = 4*i + 1, -i + 3*z + 17 = 0. Suppose 0*w = s + i*w - 1, w = -5*s - 22. Let j(d) = -2*d - 8. Let b be j(s). Solve b*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 692 + -368. Calculate the remainder when r is divided by 1*((-171)\/(-2) - 4) + 4\/8.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06834 to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2245884358?\nAnswer: 2, 23, 3067, 15919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 1\/402 (b) 1 (c) 3\/4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Suppose -7*z - 6 + 20 = 0. What is the third derivative of -m**2 - 5*m**q - 2*m**z - 2*m**3 wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*3\/6*((59 - 34) + -27).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 181*r**4 - 147*r**4 + 93*r**4 + (3*r + 3*r - 4*r)*(4*r**3 + 2*r**3 - 5*r**3) as t*r**4 + w*r + j*r**3 + p*r**2 + l and give t.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -14. Determine w so that -15*w**4 + 5*w**4 - 1 + 5 + w**c + 22*w**2 + 5*w**2 + 20*w = 0.\nAnswer: -1, -1\/2, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -2*l + 5*l. Suppose 0 = -4*x + 4 + 12. Suppose 36 = -x*h + r + 338, 5*r + 10 = 0. What is the greatest common factor of l and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 4:21 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = -4. Suppose 2*o + 2 = a. What are the prime factors of (1\/o)\/(3\/66)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8162 divided by -7\nAnswer: -1166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**5\/6 + 339*r**4 - 1064*r**3\/3 - 94717*r**2\/3 - 121451*r\/2 - 89540\/3 = 0.\nAnswer: -2035, -8, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - 1*sqrt(1100))**2*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 127490049 to the power of 1\/2, to the nearest integer?\nAnswer: 11291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10538 + -1219. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 274 divided by 9\nAnswer: 274\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6904 is divided by 135?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 381d (base 14) to base 16.\nAnswer: 2663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 5*u**2 + 15*u - 6. Let c be f(6). Let d = c + -29. Put 3, d, 2 in decreasing order.\nAnswer: d, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1125 and -1?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -5, -115.6, 0.2 in ascending order.\nAnswer: -115.6, -5, 0.2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -2*c - 5*m + 30, 5*m - 35 = -4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000053512 rounded to 7 decimal places?\nAnswer: -0.0000535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -807*y = 630*y + 633*y + 250470 for y.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 13*a - 3. Let s = 1 - -1. Let b(t) = s + 9*t - 1 - 3. Suppose -5*u + 6 = -7*u, 4*v - 3*u = -11. Give v*i(c) + 7*b(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 990130242?\nAnswer: 2, 3, 19, 251, 34603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f - 4. Let t(s) = 9 - 550*s**2 + 545*s**2 - 9. What is a(t(u))?\nAnswer: -10*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/3 - (-1 - 1 - 5). Suppose d + r = p, -3*r = -d + r + 3. Suppose -n = d*o - 57, 211 = 3*n - 3*o + 40. List the prime factors of n.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 155 + 363. Let m = 6 - q. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5 - 1.43. Let f = n + -0.47. Let j = f + -2.6. Which is the nearest to 0? (a) -3\/4 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -612, 0, -15 in ascending order.\nAnswer: -612, -15, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 - 54.011. Let x = 0.033 - h. Round x to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.3, 306, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 10:20 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1142314321 (base 5) in base 4?\nAnswer: -22102231212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 315*z - 8 - 304*z - 17 + 2*z**2. List the prime factors of j(8).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 104*m**3\/3 - 9*m + 344. Let x(b) = -25*b. Determine i(x(t)).\nAnswer: -5200*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.3147 - 7.4. Let p = w - -0.1424. Round p to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11780 divided by 19\nAnswer: -620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1041593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from {j: 2, d: 1, m: 2, s: 1, c: 1, l: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 385 = 9*p. Let h(y) = p*y + 3 - 36*y - 3. Let o(z) = 40*z**2. What is o(h(f))?\nAnswer: 40*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**4 + f**2 + f. Let j(g) = -8*g**4 - 3*g. Let i(n) = -6*d(n) - 2*j(n). Find the third derivative of i(h) wrt h.\nAnswer: 240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483534?\nAnswer: 2, 3, 26863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1142457 + 583*m**2 + 1142457.\nAnswer: 583*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -16*c**3 + 3*c**2 - 68*c - 254. What is the lowest common multiple of 15 and o(-4)?\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6*j**3 - 9*j**2 - 8234*j - 32899. Give m(-4).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(-1))\/k)\/k*k**(2\/17)\/k)**(-21))**26 assuming k is positive.\nAnswer: k**(8190\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 9*p. Let g(o) = -426*o**2. Give h(g(t)).\nAnswer: -3834*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29047061\/13437 - 1410\/1493. Let v = r - 2164. What is the common denominator of v and 12\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a - 3 + 3 + (6 - 3 + 0)*(a + 0 + 0) - 79*a - 36*a + 17*a)*(1 + a**2 - 1) to g*a**3 + o*a + n*a**2 + i and give g.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 825.7 + -837.087. Round m to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 60 = 3*k - v, 0 = 5*v. Solve k = -3*i + 7*i, -30 = 5*l - 2*i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -276.9 - -277. Let n = -0.15 + -1.25. Put n, 0.2, w in increasing order.\nAnswer: n, w, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p + 15. Give z(13).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -549701939 + 549701939 - 2*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -791.3 - -791.30152. What is m rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2607*f + 161052 + 130818 = -2114 + 67175 for f.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212 = 4*j - 2*g - 228, 0 = 4*j - 4*g - 28 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 174? (a) -0.3 (b) 1 (c) 0.05 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4101?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*r - 3, 0 = 2*r + 2*r - 2*l - 4. Solve r*j - 5 = -4*i, j + j + 2*i = 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.007740287812671 - -0.1.\nAnswer: 0.092259712187329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j + 28. Suppose 4*k = -24*a + 32*a + 148, -k - 59 = 4*a. Determine t(a).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105313051 (base 6) to base 2\nAnswer: -111011001001100010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-14) - (-3)\/(42\/1070). Let v = 203 - s. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(108) + sqrt(108) + sqrt(108) + -2 + sqrt(108))*5*6)**2.\nAnswer: -43200*sqrt(3) + 1556100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 1269*l**2 + 6. Let k(n) = -22*n. Determine a(k(z)).\nAnswer: 614196*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 88*s + 1932. Give a(22).\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = -77*u + 78 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 smaller than 1870675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*c*l**2 - 849680*c*l - 1224*l**2 + 104 wrt c?\nAnswer: 3*l**2 - 849680*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 82176 and 22528.\nAnswer: 7231488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 5:09 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -1. Let u = 16.9 + -10.9. Let i = u + f. Which is the second biggest value? (a) i (b) 3\/7 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 23 + 39 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660*f + 1456*f + 2377*f = -17972 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -437308 divided by 7412?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 24\/7*d - 3\/7*d**2 - 48\/7 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 65 = 5*r, -2*r = -3*r - u + 13. Let q = -4 + r. Suppose -2*z - j + 40 = 0, -6*j + 3*j = z - 20. Solve -4*c + z = -q*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-24)*40\/(-60)*2\/(-28).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9178 - 9180. Sort -1, n, -5, 5, -16 in increasing order.\nAnswer: -16, -5, n, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004563645536 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 581*d**2 + 584*d**2 - 1162*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 21*y - 208. What is the remainder when l(-36) is divided by 64?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67192.3t to grams.\nAnswer: 67192300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*i + 25. Suppose -65 + 280 = i*n. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 41, 86, 149?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 493431600?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s**2 + 9*s - 3. Let y be w(6). Let b = -52 - y. Let x = b + -22. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/(-3 - -19)*((-7)\/6)\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -916*o - 48 = -925*o - 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35375\/122 + 290. Calculate the common denominator of 17\/20 and j.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/8 of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-1*sqrt(136) + sqrt(136))\/sqrt(8) - -5*sqrt(68)\/sqrt(4)*2)**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.048 and 0.1616.\nAnswer: -0.0077568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a + 10. Let w be -3 + -2*7\/a. Solve 5 = w*y + 4*q - 19, 0 = 2*y - 5*q + 23 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1098 and 0.5?\nAnswer: -549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 0 + 1\/3*n**3 + n - n**2. Calculate the smallest common multiple of 14 and c(6).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**3 + 29*s**2 - 19*s - 17. What is x(-15)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15408 divided by -48.\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 997.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 + 10 - 211)*(4*s - 4*s - s**3) to w*s**3 + c*s + z*s**2 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + b - 5. Give v(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 9. Suppose w*z - 15 = -5*c + 3*z, -2*z + 10 = 5*c. Suppose c = -4*n + 26 + 10. Calculate the remainder when 24 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -13*q - 11. Let w(d) = -7*d - 6. Let g(c) = 6*r(c) - 11*w(c). Let l = -9 - -12. Let n(i) = -4*i**2 + 3*i**2 - l*i**2 + 6*i**2. Calculate n(g(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 0, 136, -41605?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8*b + y - 341 = 0, 2*y = 2*b - 178. Suppose 53 = -0*i - i. Let z = i + b. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a - 1. Let m be 2\/(-8)*(9 - 13). Let x(z) = -5 + 1 - 2*z - 3 + 3. Determine m*x(b) - 3*i(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33600?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 79 = -6*g. Let s = -8 - g. Suppose -3*b + 3 = 2*d + 7, s*b - 11 = d. Sort d, 2, -1, 5 in increasing order.\nAnswer: d, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 2 - 2)*(-2 + 2 + u) - 5 - u**2 + 5 + u**2 + 3*u**2 - 6*u**2 + (2*u - 4*u + 0*u)*(-4 + 4 - 2*u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 143*(-5)\/(-20)*(-214)\/(-1391)*(-2)\/(-1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 31*n**3 + 3*n**2 + 13. Let s(q) = -156*q**3 - 14*q**2 - 66. Let k(v) = 14*c(v) + 3*s(v). What is the derivative of k(u) wrt u?\nAnswer: -102*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 685 and 116560559.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313545907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75078 = 5*r - 75013 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.11, -0.2, 2, 20, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 726*z + 78945. Determine b(-109).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 59.3 and 0.09.\nAnswer: 59.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -4, -3, -0.05 in descending order.\nAnswer: -0.05, -2\/7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/42, -55, -4 in decreasing order.\nAnswer: 0.4, 1\/42, -4, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252427 + 252450 = g + 3*k, 0 = 4*g - 14*k + 142 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1307606 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*u - 9. Let y = 7 + u. What is the common denominator of -111\/22 and 45\/(-24)*(-20)\/y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13350 + -13350. What is the closest to 0 in z, -5, -2.11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 520288 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -9 + 19 + 5\/(10\/4) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961708380?\nAnswer: 2, 3, 5, 16028473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 21. What is the first derivative of b*x**3 - 22 + 5*x**3 - 2*x**3 + 22*x**3 wrt x?\nAnswer: 132*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/5)\/((-6)\/15). Suppose 0 = 5*s - d*s - 34. Suppose s = -4*h + 77. Solve -3*q = -h, -q = 5*o - 5*q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 5*c + 50, 119*c - 123*c - 108*q = -2680 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 2*x**2 + 5\/24*x**4 + 0 + 0*x**3 - 1\/60*x**5 + 0*x. Let n be t(5). Solve u + 5*l - 25 = -u, 3*u + l - 5 = n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40087324 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kiikibbzibz. What is prob of picking 2 i, 1 b, and 1 z?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1951\/16 + 237\/2. What is the common denominator of -59\/4 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + -6 + (13 - 2). Let j(t) = 185*t**2 - 2*t + 1. Is 16 a factor of j(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 2*j + 18, o + 2*j = -35 + 29 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**6\/135 - n**5\/45 + 2*n**3\/27 + n**2\/9 + 3*n. Factor s(y).\nAnswer: -2*(y - 1)*(y + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 184 divided by -273623\nAnswer: -184\/273623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -2*v - 3*m + 27, v - 2*m = -14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 10*q - 4*q - 1 + q**2 + 3. Suppose -21166*k = -21126*k + 240. Determine o(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22579103*x**2*z + 2*x**2 + 164*x + 3970*z + 2 wrt x?\nAnswer: -45158206*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17 + 19 - 9 - 7*k wrt k?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 298 - 6*j**2 - 298. Let d(t) be the third derivative of 7*t**5\/60 - 9*t**2. Calculate d(z(h)).\nAnswer: 252*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 + 4*b + 4. Let x(q) = -3*q**2 + 5*q + 5. Let l(j) = -4*d(j) + 3*x(j). Let k(s) be the first derivative of l(s). Differentiate k(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 + s + 176. Let p be n(0). Differentiate 5*l**3 - 129*l**2 + 69*l**2 + p + 54*l**2 wrt l.\nAnswer: 15*l**2 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - f + 1)*(2*f**4 - 4*f**4 - 8*f**4) + 130*f**2 + 3*f**5 - 130*f**2 + 14.\nAnswer: 13*f**5 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 2*w**2 - 2*w + 2. Let x be d(2). Let n = x + 1. Let b be ((-4)\/16)\/((-15)\/24). Which is smaller: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 16 = 11*c, -4*h = -38*c - 289 + 497 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 2) to base 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/10)\/((-108)\/(-20) - 5). Calculate the remainder when 27 is divided by ((-98)\/(-21))\/(x\/9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddhdddhdhh. Give prob of sequence hhd.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 16 = 5*j. Let d be (-6 - -105)*1\/j. Suppose 2*y = -3*i + 4 + d, -24 = -2*i - 2*y. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3198*g**3*j**3 + 237*g**3*j - 2*g**2*j**6 - 4*g*j**2 + 2*j**2 wrt j.\nAnswer: 19188*g**3 - 240*g**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/585 in -2, 3, -3, -126.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d + 1. Let c be a(2). Let s(f) = -f - 2*f + 3*f + c*f. Let m(h) = -h - 1. Let z(q) = 28*q + 14. Let u(w) = 14*m(w) + z(w). What is 8*s(b) - 3*u(b)?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45498*o - 45483*o - 4*o**2 + 90962*o - 18.\nAnswer: -4*o**2 - 19*o - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4748 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -34194, -34196, -34200, -34206, -34214, -34224, -34236?\n\"Answer: -o**2 + o - 34194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 v when two letters picked without replacement from aahavgavbvavy.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-4))**(1\/72)*(r\/r**(-1\/3))\/((r*r**(7\/3)\/r*r)\/r))**46 assuming r is positive.\nAnswer: r**(-1541\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(0 - 3) - (-2565)\/(-627)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -11 + (-7 - 8 - -4) + 11 + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 4*s**2 - 4*s - 1. Determine v(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 14\/13, -2\/5, 0.3, -4 in decreasing order.\nAnswer: 14\/13, 0.3, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -948614*t**2 + 53*t - 108743839 wrt t.\nAnswer: -1897228*t + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57254.9 grams in nanograms?\nAnswer: 57254900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -83*x - 24. Is w(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.103 - 0.024. Let d = v + 1.701. Let r = d + -1.77769. What is r rounded to four decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 5 - 5)*(2*k**2 + 2*k + 10*k**2 - 11*k**2 + 1).\nAnswer: -k**3 - 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(65) - sqrt(65)*2) + -5*-3*sqrt(65))\/((sqrt(405) - (sqrt(405) + -2*sqrt(405) + sqrt(405))) + sqrt(180)*1).\nAnswer: 6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -250530549*-2\nAnswer: 501061098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -197512 - -567393. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**5\/x)\/x**(1\/38))**(1\/15) assuming x is positive.\nAnswer: x**(227\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 142603912?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1249 = -9*a + 1294 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1839 = -771*i - 4342 - 9062 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 0*x - x**3 + 1\/3*x**4 - 4*x**2 + 2 - 1\/30*x**5. Let l(s) be the second derivative of a(s). Solve l(j) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/(-20))\/((-2)\/8). Suppose 0 = o - a - 5. Let l = o - -10. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - (22 + -37 + 4).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30069 - 30071.3251. Let c = -2.32 - b. What is c rounded to 4 decimal places?\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39231 = -4*m - 4*z - 39243, 0 = 2*z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -42 - ((-1290)\/(-860))\/((-18)\/(-60))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4665 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -190.1 to 0 decimal places.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*a**2 - 135321*a - 2231163.\nAnswer: -3*(a + 22537)*(2*a + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -478? (a) -5 (b) -4 (c) 0.2 (d) 66 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4*n + 13 = 0, n = -4*a - 3*n + 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 5:58 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4041690 divided by -2\nAnswer: 2020845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529244 is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 times -243088?\nAnswer: 7535728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 0*a. Let f(l) = -7*l - 4. Let s be f(-1). Suppose a*p - 2*p = b - 13, s*p - 15 = 0. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**2 + 120858*g - 1217221347 = 0. What is g?\nAnswer: 20143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 83, -3, -2, 206.\nAnswer: -4, -3, -2, 3, 83, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34160085?\nAnswer: 3, 5, 759113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 4*j + 7, j - 3 = 2*j. Sort -4, q, -13 in decreasing order.\nAnswer: -4, q, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1872, 1879, 1896, 1929, 1984, 2067, 2184?\n\"Answer: x**3 - x**2 + 3*x + 1869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmgghhhhhmzgmh. What is prob of picking 1 m and 2 h?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97799\/21 + 4657. Put 4, 2\/15, -0.03, -1\/4, j in descending order.\nAnswer: 4, 2\/15, -0.03, j, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 575 by -23.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 5 (b) -1 (c) -42277\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 378 and 9774.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-3 + -5 + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 1:44 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 2*y**2 - y)*(y + 0*y - 3*y) - 296*y**3 + 504*y**3 - 279*y**3 + (0*y**3 - 4*y**3 + 0*y**3)*(3 - 1 - 3).\nAnswer: -63*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 518387641.\nAnswer: 41, 1231, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 20*h**3 + h**2 + 58*h - 4. Let t(j) = -13*j**3 - j**2 - 39*j + 3. Let w(m) = -8*t(m) - 5*y(m). Is w(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25089 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 6*q - 3*p + 5 = 0, 0 = -q + 3*p + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -37523 * 446\nAnswer: -16735258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2254 and 43143716?\nAnswer: 992305468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 10*f**2 + 5*f - 45. Let y(u) = 11*u**2 + 4*u - 44. Let t(b) = 4*q(b) - 5*y(b). What is the derivative of t(d) wrt d?\nAnswer: -30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-2 + (-34)\/(-6)). Let a = -7 - w. Let v(y) = y - 3. Let m be v(a). Solve z - 3 = m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.2, 78, 0, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.16 and 0.0549479?\nAnswer: 0.1050521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 118\/21 (b) -2\/69 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x**3 + 10*x + 10. Let p(d) = -23*d**3 - 29*d - 29. Determine 6*p(w) + 17*y(w).\nAnswer: -2*w**3 - 4*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -1 - (-57 - -51)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 9 = 11. Let s be m\/(2 - (-21)\/(-9)). Suppose -s*n - 1250000 = 2*n. What is n rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68136 (base 10) in base 6?\nAnswer: -1243240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*x - 200, -5*x + 325 - 63 = 4*n. Suppose 3*k + n = -52. Let z = k - -80. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 5. Let n be h(9). Let t be (n - -5)\/((-1)\/(-3)). Suppose 4*r + t - 11 = 0. Solve -w = 1 - r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 13) to base 3.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**6\/285 - p**5\/38 + 2*p**4\/57 + p**3\/19 - 17*p**2\/2 - 6*p. Let f(n) be the first derivative of s(n). Factor f(m).\nAnswer: 2*(m - 3)*(m - 1)*(4*m + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-3 + -2 - 2)) + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = g + 9, 3*a - 3*a = -5*a for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1388503.36656549 - -1387747.36656. Let t = c + 756. What is t rounded to 7 decimal places?\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 297, 679, 1059, 1437, 1813?\n\"Answer: -h**2 + 385*h - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -521011*a**3 - 203*a**2 + 5156 wrt a.\nAnswer: -3126066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 821147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001805 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*f**3 + 30*f**3 + 0*f**3.\nAnswer: -122*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrloo. What is prob of sequence rlro?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6974551711 a multiple of 6247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118807188 divided by 6.\nAnswer: -19801198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 721 + 363 = -363. Solve 81*i + u = 82*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 10 = 170. Let z = -43 - -137. Calculate the remainder when z is divided by v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**4)**(-9\/11))**(-1\/8)*(a*a**(-1\/2))**(-17)*(a\/a**(-2\/7))**(-1\/20) assuming a is positive.\nAnswer: a**(-24803\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/22 + -13 - (-306)\/21. Solve 10\/7*r + 6\/7*r**2 - x = 0.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**4 + 6*s**3 - 9*s**2 - 4*s + 12 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56616.\nAnswer: 2, 3, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2.3, 3\/8, 0.1, -100\/17?\nAnswer: -100\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3\/6 + 13*u**2\/3 + 131*u\/6 - 187\/3 = 0. Calculate u.\nAnswer: -17, -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2657 + 2668. Solve -n*p + 13*p = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9111574?\nAnswer: 2, 83, 131, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 17*k**2 - 4*k - 3. Let i(c) = -17*c**2 + 3*c + 2. Calculate 4*i(p) + 3*z(p).\nAnswer: -17*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -1 - 2*k + k - 5*k**2 + 4*k**2. Let n(g) = 5*g**2 + 4*g + 1. Let t(w) = w - 21. Let m be t(22). Determine m*n(i) + 3*u(i).\nAnswer: 2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**2 + 2*x - 2. Let a(f) = -66*f**2 - 25*f + 27. Let l(p) = -1056*p**2 - 399*p + 432. Let r(g) = 33*a(g) - 2*l(g). Calculate -27*j(m) - 2*r(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2095060?\nAnswer: 2, 5, 11, 89, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96) - sqrt(6))\/sqrt(2) - sqrt(84)\/sqrt(7).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = f - q, f + f + 22 = 4*q. Let p(m) = -4*m - 9. Let o be p(-2). What is the closest to o in f, 0.4, -0.05?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -67, -63, -59, -55?\n\"Answer: 4*v - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22101 and 318?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 130003201 (base 4) in base 16?\nAnswer: 1c0e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 6*g - w - 72, -g = -3*w - 31. Let z = -22 + g. What is the remainder when 29 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/10 - 1293*d**3\/5 - 13770*d**2 - 1233468*d\/5 - 7383312\/5.\nAnswer: -(d + 18)**3*(d + 2532)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -39\/56, 0, -2\/9, -0.0139?\nAnswer: -0.0139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2913823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/(-1080)*18\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -92722.002191 - -55.\nAnswer: -92667.002191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.378 + 22.732. Round c to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 730.06 times -15.324\nAnswer: -11187.43944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -88947 at most as big as -88956?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -32 - 31\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*w - 24*w - 26*w)*(w**2 + 0*w + 0*w).\nAnswer: -68*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 3*j - 4*j)*(0 - 1 + 2) + 0 + 0 + 6*j + (3 - 5 + 3)*(-4*j + 2*j + 9*j).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*g = -3 - 18, -2*g = h - 7. Put h, -0.2, -0.4, -4\/3 in ascending order.\nAnswer: -4\/3, -0.4, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w - 155. Let o be i(0). Let j = 195 - o. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49 or -54?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 1:44 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 16*m**2 - 14*m - 17. Let t be d(15). Is 14 a factor of 9\/(-6) + (-87)\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-4))\/(2\/(-74)). Suppose 37 = 5*v - 2*h, -v - 3*h - h = -25. Let o = v - l. What is the smallest value in -0.3, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*c + 2647 = 0, 186*o + 6*c - 2567 = 181*o. What is the remainder when 1055 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29542503*g + 23*g**3 + 29542503*g.\nAnswer: 23*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2cf7 + 9d?\nAnswer: -2c5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**4 + 93 - 93 + 4*f**4 - 4*f**4 - f**4 + (0*f**4 + 6*f**4 - 5*f**4)*(-266 - 1314 - 367).\nAnswer: -1943*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1299943 is divided by 578?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1057 - 593. Round s to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4)**(-1\/4)\/(d\/(d**(2\/3)*d))**(-2\/9) assuming d is positive.\nAnswer: d**(-31\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**3 + 71*r**2 - 105*r + 99. Determine i(34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 35 = -0*y - 3*c, 2*c - 110 = -2*y. Suppose 2*z + z - 3 = 0. What is the remainder when y is divided by -2*(z - -1) + 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/(-3))\/(16\/8)*2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/14 and 77\/(-8) + -4 + 1?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54019*v**3 + 3452*v**2 + 8 wrt v?\nAnswer: -324114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (-2 + 1)) + 10. Suppose h = -b + 2*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - 0. Let r = 0.077 + -73.077. Let u = -70 - r. Which is the nearest to v? (a) 1\/2 (b) 0.01 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1005 is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 202 (b) 4 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 16*a = 0. Solve a = 2*w - 0*w - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1149 + -9062?\nAnswer: -7913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -102203001313 (base 4) to base 2\nAnswer: -10010100011000001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -31, -25, -17, -7, 5?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79146679 and 1?\nAnswer: 79146679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1595 - (-1 - -2 - -3). Let r = -1038 - v. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbrtw. What is prob of sequence wbrw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 513?\nAnswer: 2\/513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - g)*(0 - 3*g**2 + 0) - 2622*g**3 + 118*g**3 + 147*g**3.\nAnswer: -2354*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2675929, -2675932, -2675935, -2675938, -2675941, -2675944?\n\"Answer: -3*b - 2675926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2655\/(-135) + 20)*-12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-489)\/(-5))\/(11 - 10). Let l = -774101\/5670 + 2483\/81. Let q = i + l. What is the common denominator of -51\/4 and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5 + 6*s**3 - 8*s**2 - 6*s - 7*s**3 + 13. Let h be n(-6). What is the common denominator of (-6)\/(-4) + 162\/h and 52\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2221020 (base 6) to base 5\nAnswer: 12033214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-55) - 18356\/(-286). Calculate the highest common factor of 2240 and l.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2453 + -763. List the prime factors of j.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 34. Let t = 4 - x. Let s = -1.68 - 2.32. Which is the third smallest value? (a) -5 (b) -1\/4 (c) t (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -25*p**3 - 296*p**2 + 51*p. Let j(o) = -3*o**3 - 37*o**2 + 6*o. Let k(r) = -6*i(r) + 51*j(r). Let x be k(-37). Solve g + 14 - 12 = x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.43747um in nanometers?\nAnswer: 64437.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/7 - 240*l**2\/7 - 934*l\/7 - 696\/7 = 0. Calculate l.\nAnswer: -116, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (5\/(-4))\/((-1)\/20) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, 0.2, 11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y - 1. Let l = 88 - 38. Let r be l\/12 - 6\/36. Is k(r) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -251*y - 3. Let p(g) = -252*g - 2. Give -3*c(r) + 4*p(r).\nAnswer: -255*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 332041 + 0?\nAnswer: 332041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48.19 + 45.2. Let f = t + 3. What is f rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 7. Let u be h(6). Let n be (5\/10)\/(1\/u). Let l = -6 - -5. Which is smaller: l or n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, z: 1, w: 2, b: 2, y: 1}. Give prob of sequence wbz.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydydddytdyddyydydyy. What is prob of picking 1 t and 1 y?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 34 - 27076*h**3 - 52 + 31 + 31 + 27078*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 + 4*g**2 - 17*g + 4. What is the units digit of c(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 13*o - 1. Let i(r) = -r + 9. Let j be i(8). Suppose 0 - j = y, -5*v + 3*y = -8. Does 4 divide b(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide (-42 + -213)*(2*(-7)\/3 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183957 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**6\/40 - c**5\/12 + c**4\/4 + 7*c**3\/3 - 2*c**2. Let n be h(-13). What is n rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from iiicrty?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 5 - ((-8)\/2 + -41). Suppose g + b = 8*g. What is the highest common divisor of 27 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -281, -8596, -31169, -75128, -147601, -255716, -406601?\nAnswer: -607384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*r - 69*r + 12 = -3*o, 0 = -2*r - 5*o + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 10 = 6*c. Let n(f) = c*f - 4*f + f + 0*f. Let z(h) = -3*h. What is n(z(p))?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1771*p - 8139 - 18975 = 361*p + 8136 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3529*l**3 + 1694*l**3 - 5225*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.5314 - 10.\nAnswer: 8.5314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7020 a factor of 2457058567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 2*g + 10 - 4, -4*i + 2*g + 6 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 2*v + 2 = -3*v, 5*k = -2*v - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 77\/57?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - -148. Suppose -f + 4*f - n = 0. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -508*b + 3128 = -228*b - 188*b for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -1526 (b) -0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 194777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 + 1628*r**2 + 4556032*r - 4356968448.\nAnswer: -2*(r - 1184)**2*(r + 1554)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 1 = -24. Suppose -609 = -2*x - r*x. Let m = x - -34. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 635.\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*i = 35, 5*g + i - 21 = -0*i. Which is the nearest to 2\/3? (a) g (b) 1\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 113 + -1?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -706943 (base 14) to base 7.\nAnswer: -44104213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 910893?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**2 + 11*f + 6125. Let z(y) = -4*y - 23. Let d = -7 - 2. Determine d*t(v) - 4*z(v).\nAnswer: -2*v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 50873838, 101747678, 152621520, 203495364?\n\"Answer: a**2 + 50873837*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45860*f = 46552*f + 18684 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, b: 7}. What is prob of sequence bbb?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 373, 1187, 2757, 5335, 9173, 14523, 21637?\nAnswer: 30767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 155 - 205660?\nAnswer: -205502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, k: 2}. Give prob of sequence kppp.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121100122221 - 1011?\nAnswer: -121100201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*t**2 + 304 - 304.\nAnswer: -46*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002301 to 4 decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30222?\nAnswer: 2, 3, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, t: 1, m: 2, p: 3, e: 1, a: 3}. Give prob of sequence ap.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**3 - s**2 + 1. Let w be x(1). What is the second derivative of 5*a + 12*a + 26*a**4 + 0*a**4 + w*a**4 wrt a?\nAnswer: 336*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -154.1 - -154.1. Let s = -4.4 + 4. Which is the biggest value? (a) -25 (b) s (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + q + 10, q - 33 = 4*n. Let d = n - 3. Calculate the remainder when (15\/d)\/((-2)\/24) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, s: 1, p: 3, e: 1, t: 2, x: 3}. Give prob of sequence xx.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b89abb + -15?\nAnswer: -b89b14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533913.\nAnswer: 3, 31, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*s - 3661*s**3 - 256*s + 3663*s**3 + 506*s.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -56632348 divided by 19388?\nAnswer: -2921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 704263.\nAnswer: 7, 100609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 65179011*o - 54465612.\nAnswer: 65179011","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40044689?\nAnswer: 137, 239, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*r + r = -252, 5*y - 5*r - 265 = 0. Let b be 1 - 5\/((-10)\/(-92)). Let f = 74 + b. Calculate the highest common factor of f and y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160792*a**2 + 8*a + 205*a**5 - 3 - 160792*a**2 wrt a?\nAnswer: 4100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52472176 to the nearest integer?\nAnswer: 7244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 + 521*c + 3 - 519*c to the form a + o*c and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/42 - (-24)\/42. Let i(m) = m. Let v be i(3). Let c be (4\/35)\/((-2)\/5). Sort v, c, n in descending order.\nAnswer: v, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2486*l**2 - 3769*l**2 + 2294*l**2)*(-2 + 0 + 0)*(2 + 3 - 3)*(-l**3 + 5*l**3 - 5*l**3).\nAnswer: 4044*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -309442, -309440, -309436, -309430, -309422, -309412, -309400?\n\"Answer: h**2 - h - 309442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 78441859 to the power of 1\/4, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3695*z + 47917 + 389231 = 41783 for z.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 285 and 7000?\nAnswer: 399000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkqk when four letters picked without replacement from {l: 1, k: 4, c: 4, q: 3, m: 2, t: 3}.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 50 = -b - 3*b, -x + 10 = 2*b. Suppose 0 = 2*i + i - 12. Suppose i*g = -f + 10, -2*g - 2*f = f - x. Solve 5*d - c + 17 = 0, 5*c = -2*d + g*c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 652458040 - 652458154.0000053. Let x = -114.101 + 0.101. Let j = s - x. Round j to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 6. Let w = -2.98 + -0.02. Let l = d - w. Which is the closest to l? (a) 0 (b) -0.2 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2. Let y = -56 + 63. Let q(z) = -y*z - z + 22*z + 14*z. Calculate q(r(f)).\nAnswer: 84*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -107 + 107. Suppose 4*h + o*h - 2*u - 3608 = 0, -u = -h + 903. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 15 = -2*w. Let f(n) = -n**2 + 2*n + 12. Let h be f(w). Let o(b) be the second derivative of -b**5\/20 - b**4\/4 - b**3\/6 + 8*b. Determine o(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffcf when four letters picked without replacement from ysycsscfcwfvsff.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 5. Suppose -z + 5 = c. Suppose z*k + 9 = f, k = 4*k + 9. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -12*d**2 + 266*d + 186. What is a(23)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15228)\/(-39762))\/((-6)\/(-1504)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**5\/30 + r**2. Let k(z) = 4*z + 5. Suppose 5*d = -7 - 23. Let y(x) = -5*x - 6. Let s(o) = d*k(o) - 5*y(o). Give s(g(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/56 and -45\/10005616.\nAnswer: 70039312","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from ggggyggtyg?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a week?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**4\/6 - 5*l**3\/6 - 9*l**2. Let g be i(2). Find c, given that -6 + 20*c**2 + g + 3*c + 9*c - 5 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2. Let r be b(2). Let d(k) = k - 2. Determine d(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 7*k**2 + 9*k + 9. Let p(s) = -6*s**2 - 568*s + 182. Let n be p(-95). Give b(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -5. Calculate the least common multiple of g and 1600\/75 - -4*(-2)\/(-12).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, h: 2}. Give prob of picking 1 g and 2 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10112110020 + 2?\nAnswer: 10112110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 + 7*k + 3. Let h(f) = -2*f**2 - 3*f - 2. Let w = -43 + 48. Let a(p) = w*h(p) + 3*i(p). Let s(n) = n**2 + 5*n + 6. Let x be s(-5). Give a(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/15*9\/(-2). Let v be s + -1 - 0 - -1. Suppose 7*u - 12 = v*u. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3204, 3019, 2710, 2277, 1720?\n\"Answer: -62*s**2 + s + 3265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -1.3. Let s be ((-72)\/(-60))\/(3\/10). Which is the second smallest value? (a) j (b) -1\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3 = -o, 3*b + 4*o = 2*b - 15. Let g be ((-4)\/b)\/(25\/(-15)). Let z = 29\/135 - 2\/135. What is the closest to 1 in z, -0.4, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5 and 80719 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 60707 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -185*k**3 - 2*k**2 + 2*k + 2. Let o(f) = 740*f**3 + 9*f**2 - 9*f - 9. Determine -9*n(g) - 2*o(g).\nAnswer: 185*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 - (0 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-1\/5))**(-9\/2))**(-12))**(16\/7) assuming a is positive.\nAnswer: a**(5184\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42.086 + 42. What is p rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-14672250.\nAnswer: -1467225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 - -99. Calculate the highest common factor of l and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 3*u**2 - 8. Determine l(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 5*i**2 - 8*i + 3. Let t be u(-6). Suppose l + t = -4*l. Let s be 1\/l - 80\/(-15). Sort 2, 4, s in decreasing order.\nAnswer: s, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 6*f - 5. Let l be (-4 - -4) + (-2 - 1). What is the units digit of k(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7548, 15123, 22738, 30411, 38160?\n\"Answer: 3*t**3 + 2*t**2 + 7548*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15772941 and 432.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -b133?\nAnswer: -b132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -26*p**2. Let f(g) = -g**2 + 1208*g. Give f(y(t)).\nAnswer: -676*t**4 - 31408*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*o, -x - 81 = -5*x + o. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 6 = 4*a, 3*x + 2*x - a - 14 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 13*w**5\/15 - w**4\/24 - 10*w**2. What is the tens digit of z(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxvxvvvwxryhhhwwx. What is prob of picking 1 v and 1 w?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -46*o**2 + 1. Give a(-1).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 9, 3*l - 5*v + 27 = 96. Suppose -3*n + n + 90 = 5*h, -5*n + 36 = 2*h. Let z = h - l. Solve g + 1 + 0 = -r, -2*g + 5*r + 33 = z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -5, -75902443, -1 in ascending order.\nAnswer: -75902443, -5, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*b**3 - 5*b**3 + b**3)*(-4 + 3 - 1) - b**3 - b**3 + 0*b**3)*(-3*b + 0*b + b).\nAnswer: -32*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*x - 25 = -2*b, -4*x = -3*b - 20. Solve -x*a - 8 = 2*l, 0 = -4*a - 2*l - l - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*r - 6*r = -0*r + 245700. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -1273033*o. Let x(g) = g + 1. Give x(y(u)).\nAnswer: -1273033*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 51, -1.\nAnswer: -4, -1, 4, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302 + 304*b - 299 + 1225 - 311 - 313.\nAnswer: 304*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 321303?\nAnswer: 321310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 6*k + 13. Let y be w(-2). Let z(j) = -j. Let x(m) = 4*m. Determine y*x(g) - 6*z(g).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111594381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 230*z - 56. Let s(f) = -77*f + 19. Let t(k) = 2*p(k) + 7*s(k). Let b be t(5). Let j = -217 - b. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 5 + -6 + -6 + 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -146 - -142. What is the nearest to 0.1 in v, -1\/5, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5 = -n, 4*n + 20 = 4*t + t. What are the prime factors of -3 + 10 + t + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 612\/44 + (-6)\/924*-14. Solve m = -11*i - 63 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-108) - 312860\/495. Let j = k + 632. What is the nearest to 2\/5 in 1\/5, -5, j, 1\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/6 - -13*224\/(-2730). Which is the second biggest value? (a) 480 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -151413\/53735 + -2\/4885. Calculate the common denominator of b and 47\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 11*c**2 + 12*c - 34. Let l be p(6). Suppose 2*y = l + 4. List the prime factors of y.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/240)\/(1*4\/(-11)*53\/(-212)).\nAnswer: -11\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 5. Let o be n(-3). Let m(z) = -5*z**2 - 4*z - 3. Give m(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/4 + ((-12)\/4)\/(-12). Solve t = o - 8, 2*o = -t - f*o + 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 113*v - 3. Let a(u) = -58*u + 1. What is 5*a(s) + 3*k(s)?\nAnswer: 49*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 + 94. Suppose 4 = 2*m - 18. What is the remainder when v is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474*t + 277*t + 199*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2124642\/31 or 68537?\nAnswer: 68537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 != -49.998768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*y - 12404, 50*y + 2*f = 49*y + 2488. What is the highest common divisor of 34 and y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 18*i**2 - 2*i - 4. What are the prime factors of x(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6bf (base 16) in base 2?\nAnswer: -11010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**7)**(-13)*r**(-11)\/(r\/((((r*r\/r**11*r)\/r)\/r)\/r)) assuming r is positive.\nAnswer: r**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3429 and 742442?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 38683, 26, -3 in descending order.\nAnswer: 38683, 26, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6564\/(-3829)*(-14)\/372.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y - 4*y + y - 5. Let g be (-3)\/((-6)\/8) - -2. Is d(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 12 + 9 - 9. Suppose 8*o - 3 = 5*o. Let a be o\/(-2) - (-2)\/4. Calculate r(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -94*o**3 + 70*o**2 - 16*o. Let g(x) = -31*x**3 + 23*x**2 - 5*x. Let s(r) = -5*f(r) + 16*g(r). What is the third derivative of s(k) wrt k?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82721543 or -82721542?\nAnswer: -82721543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m = -91 - 125 + 6 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79600811.\nAnswer: 373, 213407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.33 smaller than -1167284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/42 and 121\/364.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, t: 2}. Give prob of picking 2 y and 1 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154, -164, -172, -178?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 345207 (base 9) to base 12\nAnswer: 9bab1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3695 rounded to 2 dps?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -3 (c) 0.2 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4*y + 140, 3*a + 2*y - 37 = 63. Suppose -92 = w - a. Let j = 66 + w. Solve -j*f + 0*f + 4 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24582, -50003, -75410, -100797, -126158, -151487, -176778?\nAnswer: -202025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/110)\/((-858)\/(-440)). Let j(u) = 6*u + 198. Let k be j(-33). Is k bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -5*i**3\/3 - 2*i**2 + 4*i + 2. Let j(o) = -11*o**2 - 9*o + 9. Let n(c) = 4*j(c) - 9*s(c). Let d(x) = x**2. Determine d(n(q)).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/10*(0 - -5). Find the common denominator of (-9)\/11*l\/(-6) and 31\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 23 = f, f + 1 = 5*z - 27. Suppose 2 = 4*j - 2*w - 0, z*w = j - 5. Let s be 14\/5 + -1 - (-3)\/15. Solve j = s*h + 4 - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -1 + 4)**2.\nAnswer: 60*sqrt(7) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -24 (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -585 - -1841. Suppose -14*h + 108 - k = 0. Let j = 200 + h. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (59 - 78) - (102 + 7 - 6).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 451 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -16, -7, 1 in ascending order.\nAnswer: -16, -7, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 144334021 + 1022?\nAnswer: 144340043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) - ((sqrt(70) + 2*sqrt(70))*-1 + sqrt(70)))\/sqrt(10))**2 - (-6*sqrt(7)*1 + sqrt(14)\/sqrt(2) + 4))*-1.\nAnswer: -59 - 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 36855, -0.01143, 0 in decreasing order.\nAnswer: 36855, 0, -0.01143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bghh when four letters picked without replacement from {g: 8, b: 2, h: 4, o: 1}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2709 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + -32 + -41 + 88.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*s = -123064 + 604928. Does 58 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 + 5*t**3 - 4*t**3)*(2 + 2 - 3) + 3*t**3 + t**3 - 2*t**3 + (-8*t**2 + 5*t**2 + 5*t**2)*(-t + 0*t + 2*t).\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27019 is divided by 11129.\nAnswer: 4761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-50)\/(-20)*(-51)\/(-510))\/((-42)\/8)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwwwwlwwwwlw. What is prob of sequence llww?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27281 + 34869. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2656717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 - (253\/(-11) + 12 - 14313). Calculate the highest common factor of 139 and u.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**7\/280 + d**6\/10 + d**5\/40 - 3*d**4\/2 + 43*d**3\/3 + d**2\/2 + 257. Let b(k) be the third derivative of i(k). Factor b(j).\nAnswer: -3*(j - 12)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**46\/(r\/r**(-3))**(7\/4) assuming r is positive.\nAnswer: r**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143951 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*c*k**2*n**3 + 27*c*k**2*n - 2*c*k*n**2 - 272*c*n**3 + k**5*n - k*n**3 + 2*k*n**2 wrt k.\nAnswer: 18*c*n**3 + 54*c*n + 20*k**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9287141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cyhfhf. Give prob of sequence hhfy.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**4 + 9*f**4 - 15*f**4 - 20*f + (3*f - 7*f + 2*f)*(0*f**2 + 0*f**2 - 2*f**3) - 4*f**2 - 3*f**4 + 4*f**2.\nAnswer: -f**4 - 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10697155?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 12*m**2 - m + 5. What is the remainder when i(-12) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, s: 1, k: 3, a: 1}. What is prob of picking 2 k and 1 s?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8031 + 21716. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10)\/35 - 48\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**3 + 9*g**2*r**3 + 2*g*r**3*s - 267*r**3*s + 2*r*s wrt g.\nAnswer: -6*g**2 + 18*g*r**3 + 2*r**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 856, 6863, 23170, 54925, 107276, 185371, 294358, 439385?\nAnswer: 625600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504053373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6182765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 10. Let i = o - 3.9. Let v = -238.5 + 238. Which is the third smallest value? (a) i (b) v (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - 2. Let h be 477\/18*(-16)\/8. Let z = v - h. 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 -3 + (-1*sqrt(6050) + sqrt(550)\/(sqrt(55)\/sqrt(5)))\/(sqrt(70)\/((-2*sqrt(84))\/sqrt(12) + sqrt(7))*-2).\nAnswer: -5*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8751 bigger than -8751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -424 + 614. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 2*f - 8, -5*y - 62 = 4*f - 39 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cnccnclcaacancccnc. What is prob of sequence acac?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from gupqqepzzqgqzqq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 55*i + 354. Let t be n(-61). Let g(d) = d**2 + 4*d + 2*d**2 + 10*d**2 + d**3 - 11. What is the units digit of g(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*i + 68 = -6*i, 69 = 5*a - i. Let h(v) be the second derivative of -v**4\/12 + 13*v**3\/6 + 6*v**2 - 52*v. List the prime factors of h(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11980, 22175, 32432, 42781, 53252, 63875, 74680?\n\"Answer: 5*k**3 + k**2 + 10157*k + 1817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 13, y: 3, r: 4}. What is prob of picking 2 y and 1 r?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 4*t - 1. Let y be f(3). Let g(s) = s - 8 + 8*s**y + s**3 - 3*s**2 + s + 3. List the prime factors of g(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 20 = -4*t - 3*b, t - 22 = -5*b. Sort 5, t, -8 in increasing order.\nAnswer: -8, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, a: 3}. What is prob of picking 2 r?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 1. Let u(z) be the first derivative of z**2\/2 - 2*z - 18. Determine -m(x) - u(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*t - 6624 + 2124 = 0 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007933984 to 5 decimal places.\nAnswer: -0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5574 + 11332. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 4*j**2 - 5*j + 3. Let t be x(-5). Suppose -19*b + 29*b - 380 = 0. Let k = b + -49. Sort k, t, 0 in descending order.\nAnswer: t, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481241261 rounded to the nearest one million?\nAnswer: 481000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10503777 by 2.\nAnswer: 10503777\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 6:59 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115 + -34. Let o be 7*2*20\/14. Let b = 32 - o. What is the remainder when x is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from {w: 3, i: 3, s: 2, z: 5, k: 1, o: 1}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 4.89. Let u = t - -1.01. Let l = 0.1 + u. Which is bigger: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -407 + 755. Let v = h + -167. Does 65 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5384393 is divided by 729?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-3 - 1 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 27, -1\/11, -0.3 in descending order.\nAnswer: 27, 1, -1\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeegeeaege. What is prob of picking 3 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520603.\nAnswer: 487, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(4*(sqrt(4860) - sqrt(4860)*-3) + sqrt(4860)))\/(sqrt(12) - (4*sqrt(48))\/sqrt(4) - sqrt(12) - 3*sqrt(108)))**2.\nAnswer: 1053405\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 25009509.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 2*x + 4 + 7, -4*x = 5*v - 17. Let u(a) = 3*a**2 + 96*a - 95*a + 7*a**3 - 3*a**2 - v. Let o be u(1). Is o less than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -41957 (b) 118 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 388559 at most -180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 122480 to the power of 1\/2, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 130*c**2*x**3 + c**2 + 251993*c*x**3 + 20*x**3 + 21884*x**2 + x - 5 wrt c.\nAnswer: 260*c*x**3 + 2*c + 251993*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1 (c) -653\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76\/3)\/((-70)\/(-105)*2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 0*n + 1\/420*n**7 - 18*n**2 - 1\/120*n**5 - 1\/672*n**8 + 0*n**4 + 1\/240*n**6 + 0*n**3 + 0. Factor m(x).\nAnswer: -x**2*(x - 1)**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 - 64. Suppose 2*n + 2 = 0, -p = -6*p + n - 49. Let q = 12 + p. Solve -3*v + q*v = -2*s + 3, -3 = -d*s + 5*v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/15 (b) -108 (c) 7 (d) -0.03 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1 + -4 + (5673\/(-62))\/((-2)\/36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.113631936 to 3 dps.\nAnswer: 0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7218 - -4378. List the prime factors of q.\nAnswer: 2, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 + 2*m**2 - 2*m**2)*((-1 + 4 - 2)*(36 - 36 + 14*m) + 0*m + 2*m - 4*m).\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/12 and -3 - ((-820)\/304 - 1).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkmdmdkmmmm. Give prob of sequence md.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(10*(-1)\/22) - -3. Let w = -0.46 + 0.76. What is the closest to -0.1 in w, u, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-5)*z)\/z**5)\/((z*z*z*(z\/((z*(z*z**(-4\/3)\/z)\/z)\/z))\/z)\/z**1) assuming z is positive.\nAnswer: z**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 12 + (140 - 124)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**3 + 8*h - 11. Suppose -3*n + 14 = 5*l, 4*l + 10 = n + 28. Suppose -l*z + 34 = 46. Let o(s) = -2*s**3 + 3*s - 4. What is z*f(y) + 8*o(y)?\nAnswer: -y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine sixths of a day?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/816 and 65\/270912.\nAnswer: 270912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4\/13 - 420*n**3\/13 + 11488*n**2\/13 + 84480*n\/13 = 0.\nAnswer: -6, 0, 40, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.9 + 0.1. Let t = 68 - 341\/5. Sort t, y, 2 in increasing order.\nAnswer: t, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/28*(-166803)\/1014.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -52, 3, -1, -4, -26, 9 in increasing order.\nAnswer: -52, -26, -4, -1, 0, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2758*i*n**2 + 1616*i + 1 wrt n.\nAnswer: -5516*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24534*z - 24606*z = -216 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 4*q + 7 = 0, 4*q = 5*c - 17 - 14 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-4))\/(-4*(-7)\/(-168)). Suppose -p*w + 12 = -3. Solve -w*j = 4 - 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 11*k**2 - k - 20 + (-3*k + 0 + 0)*(0*k - 3*k + 2*k) + 4*k**2 - 5*k**2 + 3*k**2 + 7*k**2 - 4*k**2 - 4*k**2 in the form u*k**2 + z + x*k and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24554 = -51*m - 24911 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 60\/24 + (-2)\/4. Suppose 0*n + 39 = -n + j*z, -3*n - 103 = z. Let s = n + 39. Solve -23 + 3 = -s*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 4:36 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 6*z - 1. Suppose -52 + 0 = 13*i. Let y be p(i). Suppose x + 5*s = 152, y*s - 3*s - 412 = -3*x. Is x a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -62, 3\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 15*f + 4. Let s be a(15). Let b be 2 + 4 - s - 159. Let h = b + 236. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 w, and 1 x when four letters picked without replacement from kxxtwduxxddxwwk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -40 + 42. Let s be ((-3)\/(2 - z))\/1. Let f be 6*5*s\/(-10). What is the closest to f in -3\/5, -2\/19, -2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5 - 2 - 235640*w.\nAnswer: -235640*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from {i: 4, l: 1, q: 3, d: 5}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 816 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 88655.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**2 - 87712983*v + 469367344.\nAnswer: 4*v - 87712983","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/t**(-4))\/t)\/t)\/t)**(8\/5) assuming t is positive.\nAnswer: t**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 11*f + 32. Suppose -3*w = -7*w + 16, g - 2*w - 1 = 0. What is the units digit of d(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3130224 - -13?\nAnswer: 3130242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25541, -9775, 16499, 53281?\nAnswer: 100571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 - -0.2. Suppose 5*k + 15 = 4*i + i, 2*i - 10 = 0. Let t be -2 + k\/2 + -1. Which is the closest to 0? (a) f (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/3)*t*t**(-3\/8)*(t\/(t*t*t**(11\/5)\/t*t))\/(t*t**(-1\/15)) assuming t is positive.\nAnswer: t**(-461\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 258)\/(-3 - 5320\/(-1775)). Suppose -2*y + 290016 = 4*s, -3*y = s - a - 343059. What is y rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-74)\/(-14) - 16\/56. Suppose -5*u + 3*j = -35 - 53, 5*u - 2*j - 92 = 0. Let g(q) = -q + 10. Let c be g(10). Solve c = 3*b + u - m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.16786kg in nanograms?\nAnswer: 62167860000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 6. Suppose -u + 1 = -k. Solve 21 + 4 = -k*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7209 - 190*v - 7209.\nAnswer: -190*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -44*k + 3. Let b(c) = 102*c - 6. Let h(q) = -3*b(q) - 7*u(q). Let t be (-9)\/(((-9)\/(-6))\/1). Let f be (t\/4)\/(3\/(-10)). Determine h(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5365 divided by -1?\nAnswer: -5365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/28*12*((-2842)\/357 - -8)\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**3 - 85*k**2 - 94*k + 714. What are the prime factors of i(-47)?\nAnswer: 25013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(7) + 2 + -1)**2 + -5 + -2*((sqrt(1008) - sqrt(1008)*-5)*3 + sqrt(1008))**2.\nAnswer: -727829 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2451675 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 1 = f, 6*f - 4*f + 4 = m. Suppose 91*l - 6 = 85*l. Let s be -7 + (1 + 0 - l). Sort f, -1, s.\nAnswer: s, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/3, -0.8, -0.09, -3\/46, 1.5, -4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 5.06.\nAnswer: 5.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/4 + 244\/16. Let q = y - 18. Which is the closest to 0.3? (a) q (b) -5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 66. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-1393.\nAnswer: -6965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/6*(-1584)\/165.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g**2 - 8*g - 64 + 14*g**2 + 1 - 23*g.\nAnswer: -g**2 - 31*g - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 6*o**2 + 18*o**2 - 11*o**2.\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**0*g))**(-12\/13)*g**(-5)*g**(1\/19))**(-4\/13) assuming g is positive.\nAnswer: g**(376\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3269376 a multiple of 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30640, -245383, -828260, -1963339, -3834688, -6626375, -10522468, -15707035?\nAnswer: -22364144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71666 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 - (-1 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 48\/4*(-11)\/(-22). Suppose 0 = -f + 5*f + 4. What is the hundreds digit of f\/y - (-8110)\/60?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iimi. What is prob of picking 1 i and 1 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2 - 0)*8. Suppose 3*m + 3*r - 1 = r, -2*r = 5*m - 7. Suppose 4*b = -4, 0*a - 43 = -m*a + y*b. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18418022573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42816122.99686 - 42815670. Let y = 453 - v. What is y rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 114. Let c be 18\/(-54) + a\/6. Let h(r) = -6*r + c*r - 7*r. Let m(j) = -9*j. Give m(h(l)).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -50*j**2. Let c(t) = -47*t - 6. Let r(s) = -1045*s - 133. Let v(a) = 133*c(a) - 6*r(a). What is v(n(y))?\nAnswer: -950*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 5*u - 5. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -46440.2732 and 66257.\nAnswer: 19816.7268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -65 - a + 2*a**3 - 131 + 556 + 95 in the form x + k*a + l*a**2 + g*a**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10 = -10. Suppose 4*u = -w*k + 56, 2*u + 11 + 3 = k. Calculate the remainder when 27 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**4 + 23*l - 5 + 4 - 24*l + 2*l**4. Let w(f) = -2*f**4 + 6*f**3 + 2*f**2 - 10*f - 8. Let c(a) = 4*n(a) - w(a). Factor c(h).\nAnswer: -2*(h - 1)*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3819 - -3819.1. Which is the second biggest value? (a) 2 (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-620)\/(-24) - (-5)\/30. Let x = w - 27. Sort 3, x, 4, 38 in increasing order.\nAnswer: x, 3, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220033 (base 4) to base 7.\nAnswer: 25310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-54)\/(-10))\/((-40)\/(-1400)). Calculate the greatest common factor of w and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 5*u + 5*u.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 206437024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-5\/3)*p)\/(p\/(p\/(p**(-6)\/p))))**37)**(9\/4) assuming p is positive.\nAnswer: p**(1221\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 194791665?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*p - 1055 = 0, -6*h - 5*p + 2114 = -4*h. What is the hundreds digit of (h\/2)\/(87\/116)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q - 8832 = -7*q. Let d = q - 267. Solve 0 = z + d - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2839718 to the power of 1\/2, to the nearest integer?\nAnswer: 1685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 2. Suppose -3*o - 2*o = 0. Suppose o*n = -n. What is the units digit of g(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v - 18*h + 7*h + 5*h = -3*h - 420, 8*v - 176 = 4*h for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/5)*i**(-21)*i**19\/i**25)**15 assuming i is positive.\nAnswer: i**(-417)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -4, 2 in descending order.\nAnswer: 4, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -10*m**2 + 2 - 1 - 4*m**2 - 5*m**2. Let t be s(-1). What is t rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83689596.9ns to weeks.\nAnswer: 0.00000013837565625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -6, -4, -2\/7, -0.058, -2\/15?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110095, -110086, -110075, -110062, -110047?\nAnswer: -110030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 35 + 195 = 31*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*j**3*x**2 + 4*j**3*x + 5*j**2*x**2 + 1488*j - 2*x**2 wrt j.\nAnswer: 30*j*x**2 + 24*j*x + 10*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 5:55 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {h: 2, a: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + sqrt(468) + -2*sqrt(13)*-4 + sqrt(117)\/(sqrt(18)\/sqrt(2) + sqrt(9)) + 0)**2.\nAnswer: 10933\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 27 + 32. Let p be (4 - 129\/z)*2. Suppose -25*x + 251*x**2 - p*x**2 + 8 - 2 + 4*x + 12*x**3 = 0. Calculate x.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s - 5. Let l(r) = -20*r + 26. Let t(h) = 7*h - 9. Let o(g) = -6*l(g) - 17*t(g). Let d(w) be the first derivative of o(w). Determine c(y) + 6*d(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9296, -18330, -27200, -35906, -44448, -52826, -61040?\nAnswer: -69090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t - 40*t = q + 2*q - 186 + 163, q - 5*t + 7 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 + -107. Let o = r + 34. Suppose -43996 = -4*n - o*w, n + 2*w - 2217 = 8779. Round n to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3794 is divided by 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**5 - 90*j**4 - 252*j**3 - 246*j**2 - 81*j = 0. What is j?\nAnswer: -27, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z**2 - 215*z**3 + 71*z**3 - 1 + 55*z**3 + 69*z**3 as x*z**2 + n*z + p*z**3 + f and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 g when three letters picked without replacement from liggcqtq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 3*j - j)*(2 + 1 + 2*j - 4).\nAnswer: 6*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 - 2*k**3 + 2*k - 5*k - 8 - 41 + 2*k**4 + 4 + 5*k in the form r*k**2 + c*k**3 + j*k**4 + u*k + g and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -10*n + 2. Let d(v) = 30*v - 6. Give 16*c(j) + 5*d(j).\nAnswer: -10*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 11*o - 6. Let l be z(3). Which is greater: l or -1\/267?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -289270, -578144, -867018, -1155892, -1444766?\nAnswer: -1733640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 7:06 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 28. Calculate m(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1215) + (-3*sqrt(1215) + sqrt(1215))*-4)\/(-3*(2*sqrt(21))\/sqrt(7)))**2.\nAnswer: 3645\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, 85, 280, 655, 1270?\n\"Answer: 10*d**3 + 5*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -2 - ((16 - -2) + -13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-108)\/162*(-27)\/2. Suppose 0 = 5*d + 386 - 26. Let i be (-4)\/(1*4\/d). What is the highest common factor of i and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-5 - -1) + 5 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) -0.08 (c) 0.03 (d) 1\/23 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 77 + 18)*(5 + 0 - 4)*(-1 - 2 + 0)*(3 + 2 + 1)*(0*o + 0*o + o**4).\nAnswer: 1296*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 530.4664 millennia?\nAnswer: 6365596.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -68. Let x be t\/(((-6)\/3 + 3)*-1). Let o(h) = -7*h**2 + 21*h**2 + 4*h**3 + 8*h**3 - 13*h**3. Determine o(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 + 1045\/16. Let d = -347364956\/5333 + 65135. Let z = d - -474641\/21332. What is the common denominator of a and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1581545281?\nAnswer: 53, 797, 37441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 7:13 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23630*h**3*w + 237891*h**3 - 7*h**2*w**3 wrt w?\nAnswer: 23630*h**3 - 21*h**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 6*o. Let b(l) be the first derivative of -l**7\/840 - l**6\/360 - l**4\/8 - 4*l**3\/3 - 4. Let j(u) be the third derivative of b(u). Give j(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2001.4 + -2001. What is the second biggest value in q, -1\/7, 3, -2, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3949157 (base 10) in base 2?\nAnswer: -1111000100001001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7864 - 7868. Which is the closest to -126? (a) 5\/4 (b) x (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(136)\/(sqrt(4)*1))\/(sqrt(2)*2*-2 + sqrt(2)) - (sqrt(187)\/(-5*sqrt(11)) + (sqrt(17) - sqrt(85)\/sqrt(5) - sqrt(17)) + -4)**2).\nAnswer: -298*sqrt(17)\/15 - 2024\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from {q: 3, d: 3, v: 1, e: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*i + 182*i + 263630 = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47675.0516 + -47723.4672086. Let w = s - -48.4916. Let u = -0.076 + w. What is u rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 4. Let l(z) = -3*z + 21. Let m(t) = -l(t) + 4*o(t). Give m(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-23 + 6) - 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000022447 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -19610 divided by -5\nAnswer: 3922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.22, -433 in descending order.\nAnswer: -0.22, -5, -433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkk when three letters picked without replacement from jjcwjcijjjiikicck.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + p = 45, 4*c + 4*p + 8 = 60. What is the tens digit of 176\/(-33)*(-54)\/c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002585 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 595*i + 473*i + 2*i + 77*i - 10 - 17.\nAnswer: 1147*i - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*z - 73*z + 17 = a - 151*z, 25 = 2*a - 3*z for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r**2 - 84*r + 262*r - 102*r + 85*r**2 - 78*r.\nAnswer: 68*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2. Suppose x + 132 = 5*x + 2*b, 0 = -b + 2. Let g = -26 + x. Let j(c) = 6*c - g*c - c - c. Give l(j(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.3 + -2.3. Which is the smallest value? (a) g (b) -0.3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34 - 11286?\nAnswer: -11252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + v**4 + 2 + (-28 + 15 - 35)*(3*v**4 - v**4 + 2*v - v**4).\nAnswer: -47*v**4 - 96*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-one fifths of a tonne?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00100427 rounded to 5 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**5\/120 + 2*x**3 + 11. Let k(q) be the third derivative of b(q). Let g(a) = -7*a**2. Give g(k(v)).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 905*d**2\/2 - 1393*d + 1558. What is the derivative of k(x) wrt x?\nAnswer: 905","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4331*139\/29607)\/(-3*(-2)\/18)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 272417053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + -1. Let n = -0.2 - -0.7. Let o = n + -0.5. Which is the nearest to o? (a) -4 (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -55*l**2 + 66*l**2 + 38 + 19*l - 9. Let n(y) = -7*y**2 - 13*y - 19. Let u(q) = 8*n(q) + 5*w(q). What is u(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3727210 less than 8.3?\nAnswer: -3727201.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*f + 3*f. Put -2, f, -5, 5 in descending order.\nAnswer: 5, -2, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3159 <= 1\/95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21918406 to the nearest integer?\nAnswer: 4682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 + 131. Calculate the remainder when m is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 + 8*j - 3. Let o be r(-6). Let w = -1 - -1. Suppose w*k + 3*n + 35 = k, 3*k + 3*n = o. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121490 + 157215 - 95038 = 11*v. List the prime factors of v.\nAnswer: 59, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-17)\/(-119) - 19\/35. Let m = 0 - 3. Which is the third biggest value? (a) k (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 35*m**2 + 512*m - 194. Determine p(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2684.35193 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*r**3*t**3 + 183*r**3*t - 3*r**2*t**4 - r**2*t - 4*r wrt t?\nAnswer: 60*r**3*t - 36*r**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*s + 40 = 12, -u = -s + 11. Let m be (u + (-152)\/(-24))*9. Solve m*f + f - 3*q + 16 = 0, q - 3 = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(143)*-2*2 - sqrt(143)*2*-4))\/((sqrt(352)\/sqrt(128))\/(sqrt(16)\/sqrt(4)*6)))**2.\nAnswer: 479232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38137419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 2\/11, 1\/19, -104, -362?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*j = 431 - 57 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -372, -2048, -4848, -8778, -13844?\nAnswer: -20052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1085 = -3*j + 244. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9360 - -9362. Let h(f) be the first derivative of 0*f**4 + 0*f + 1\/14*f**6 + 0*f**l + 3\/35*f**5 + 0*f**3 + 20. Factor h(g).\nAnswer: 3*g**4*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/418374 and -20\/3670281.\nAnswer: 80746182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427875737.\nAnswer: 17, 131, 229, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5721*g**2 + 4*g - 20. Let f be y(-6). What is f rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ba + 1e70?\nAnswer: 213a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4371436 is divided by 530.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -43, 1\/3, -1\/7, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38985437 take away 0.548?\nAnswer: 38985436.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1740516 to the nearest integer?\nAnswer: 1319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 less than 0.26?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 0*z**2 - 4 - 2\/3*z**3 - z. What is the derivative of t(k) wrt k?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 57 or 159\/107?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25.25 - 0.25. Is 2 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162 and 26730.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 14*g**2 - 15*g + 26. Let t be j(13). Let r be (-29 + 26)*(-1 + t). Solve -r*b - 10 = 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6329 to 1 dp.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79158 is divided by 115.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/23 + (-9789)\/(-897). Suppose 3*u + a = -10. Let t(c) = -c**3 - 7*c**2 - 4*c - 9. Give t(u).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 - r**5 - r**3 + (-4 + 4 + 6*r**3)*(15*r**2 + 4*r**2 - 5*r**2) + (3*r + 6*r - 10*r)*(-r**4 - 3*r**2 + 3*r**2).\nAnswer: 84*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -59, -27, 7, 37, 57?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/2 + (1 - -1). Let n(d) = -2*d + 2. Let p(x) = -5*x + 4. Let k(b) = -2*n(b) + p(b). Let o be k(t). Solve 5*g + 9 + o = -2*s, 5*s - 25 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -3 - 1) + 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0 (b) 1\/2 (c) 3 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 356275\/475044 - -2\/118761. Solve -3\/4 - 9\/4*b**2 - o*b**3 - 9\/4*b = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1781708.6 rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 17 = -5. Let a = z - 0. Calculate the greatest common factor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -1. Let b be (-17)\/(102\/(-60))*(-4)\/(-10). Let d = b + -3. Let w(y) = 6*y**2 + 6. Let a(i) = d*w(i) + 6*p(i). Let j(q) = 13*q**2. Calculate j(a(t)).\nAnswer: 468*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2\/15 - 260672*d\/5 - 782018\/15 = 0 for d.\nAnswer: -1, 391009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92926 is divided by 92884.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*a = -3*b + 383*a - 20, 0 = -5*b + 5*a - 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.04 or -5\/13?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133009146, -133009147, -133009150, -133009155?\nAnswer: -133009162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-2) + -1)*-5. Let y = 1 + g. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -2.8 (b) -3\/8 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**3 + 2*c**2 + 5*c - 7. Let l(u) = -2*u**3 + u**2 + 2*u - 3. Let p(y) = 3*i(y) - 7*l(y). Let a(d) = d**3 - d**2. What is 3*a(n) - p(n)?\nAnswer: -2*n**3 - 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 62340 (base 8) in base 6?\nAnswer: 315320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15988.739 and -11.8.\nAnswer: 15976.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 14*i**2 + 14*i + 5. Let o be ((-1638)\/(-189))\/(2\/(-3)). What is d(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 1. Let m(o) be the first derivative of -o**2 - 9*o + 1075. What is 3*d(z) + m(z)?\nAnswer: 3*z**2 - 2*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, t: 4, p: 5}. Give prob of sequence zptp.\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjojojj. What is prob of sequence ojo?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*v**3 - 4*v**4 - v**2 + 10*v**4 - 12*v - 4*v**2 + 44*v**2.\nAnswer: 3*v*(v - 4)*(v - 1)*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/35, 38, 0.2, 0.068, 11?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91*t + 335 - 71*t**2 + 3*t**2 - 340 - 371*t**2 wrt t.\nAnswer: -878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426593257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1531, 1293, 1055, 817?\nAnswer: 579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000008267513 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -547 divided by -78?\nAnswer: 547\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-7)\/(245\/21))\/((-272)\/1530))\/((-2)\/2).\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, -212, -5 in descending order.\nAnswer: 6, 1, -5, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdxdxdddxxx. What is prob of picking 1 x and 1 q?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c + 2*c - c + 3*c - 6*c. Let r(d) = -32*d + 93*d - 46*d. Give r(p(a)).\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**4\/24 - 12*t**2. Let g(q) = q**2. What is g(w(k))?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2901134493?\nAnswer: 3, 233, 593, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 5:19 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-11)\/(-132)*16)\/((-2)\/(-573)) is divided by 93?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t**3 + 2*t - 1. Suppose 159 = -5*j + 544. Let d = j - 76. Calculate y(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*y**3 + 2 + 24*y**3 + 25*y**3 + 602*y**2 - 95*y**3 + 25*y**3 in the form u*y**3 + m*y + b*y**2 + x and give b.\nAnswer: 602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -3*b + 27. Let u(n) = -n - 16. Determine u(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 310 from 0.04.\nAnswer: -309.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8856 and 1486404.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -7*q**5\/5 - 317*q**3\/3 + 3655*q + 1972. Differentiate o(t) with respect to t.\nAnswer: -28*t**3 - 634*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3638764 divided by -3638764\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6656, 8024, 10308, 13514, 17648, 22716, 28724, 35678?\nAnswer: 43584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1241, -1244, -1247, -1250, -1253?\n\"Answer: -3*f - 1238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145 and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21237752 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1091755791 and 11214?\nAnswer: 5607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23*d**2 - 168334*d + 84110*d + 84119*d)*(0 - 2*d + 0) to h*d**3 + q*d + b + y*d**2 and give y.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*j + 64, -4*j = 5*v - j + 67. Let o = -9 - -16. Let p = o + v. What is the closest to -1 in -2, p, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -187 + -111643?\nAnswer: -11181a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5071 is divided by 102.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/38 and 123\/234820.\nAnswer: 4461580","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, 2, 60, 130, 206?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and (0 + -1)\/(5\/(-10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -582 (b) -5 (c) 21 (d) 0.1 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -24*h - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58841457?\nAnswer: 3, 2213, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*i - 3*h, -5*i - 2*h = -h - 65. Suppose 0 = -2*u - i + 18. Let d = 0 + 2. Solve -4*t - 3*w + d*w - 21 = 0, 0 = 5*t + u*w + 28 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 17*y + 13. Is s(-23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -6. Find the third derivative of -3*g**q - 15*g**2 - 7*g**6 + 16*g**6 wrt g.\nAnswer: 720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 649.719 grams in kilograms?\nAnswer: 0.649719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2 + 4033014*u + 8066032 = 0 for u.\nAnswer: -2, 4033016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19177287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37555 + 37555 - a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {b: 3, h: 3, j: 3, c: 2, l: 1, m: 4}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 72605802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19533657?\nAnswer: 3, 11, 13, 45533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 7:25 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*y + 721 = 186 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**3 - 58*i**2 - 103*i + 171. Calculate u(13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 117\/184 - 6\/23. What is the closest to -0.1 in x, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9\/4)\/v*v**(-32))\/((v\/((v**(5\/2)*v)\/v))\/((v\/(v*v**(-7)*v*v))\/v)) assuming v is positive.\nAnswer: v**(-119\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -21 + 251. Suppose i + 124 = 4*y - 13, y - 3*i = 48. Let c = y + n. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -5, 25\/3, 2, -0.9, -1126 in descending order.\nAnswer: 25\/3, 2, -4\/7, -0.9, -5, -1126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a century in years?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*g - 0*l - 4*l, 12 = 3*g + 3*l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4360, 31724, 105118, 247558, 482060?\nAnswer: 831640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4512767us in seconds?\nAnswer: 0.0000004512767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18646, -18636, -18648, -18682, -18738, -18816?\n\"Answer: -11*v**2 + 43*v - 18678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 88 + 28 = 0. Suppose -21*t = -o*t - 132. Let g(n) be the second derivative of -n**4\/12 + 2*n. Let d(a) = 5*a**2. Give t*g(q) + 4*d(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 39145*f - 273971. What is u(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 5*g**2 - 5*g + 5. Let w(m) = m + 3. Let s be w(3). Is z(s) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 40040.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 times -0.1412\nAnswer: -0.31064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*u + 15. Factor -g**3 - 4*g**u - 2 - 6*g**2 + 3*g**3 - 6*g.\nAnswer: -2*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l + 5*u = -300, 3*l + 218 = -2*u. Let y be 6\/9 + l\/(-3). Suppose g = 3*k + 2*g - 28, 2*k - y = 2*g. What is the remainder when 19 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 810615 and 325?\nAnswer: 4053075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 222133320 (base 4) in base 15?\nAnswer: 3689c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17746782\/947 - -18740. Let n = 86145\/15152 - r. What is the common denominator of n and -41\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 669 divide 252751702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6616 (b) -4 (c) -8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 1346*x - 1345*x. Solve -3*y - 2 = -x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1080*a**2 - 1704 - 1912*a + 1912*a - 575*a**2 wrt a?\nAnswer: -3310*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2563 + 2555. Let b(j) = -2*j**3 - 13*j**2 + 26*j + 6. Determine b(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -3\/137, 4, -6, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-77) - 57\/(-11). Let x(g) = -g**2 + 8*g - 3. What is the tens digit of x(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, u: 1, p: 1, v: 1, q: 1, g: 1}. Give prob of sequence gq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 + -82. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + -6*(-1*(0 + sqrt(612)) + 5)*-3*4)**2.\nAnswer: -9906624 + 933120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -79.931 + -0.069. Let w = a - -79.99852. What is w rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.2 - 313.7.\nAnswer: -311.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18192, -18578, -18964, -19350, -19736, -20122?\n\"Answer: -386*l - 17806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 906288 and 5437728.\nAnswer: 5437728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggj when three letters picked without replacement from {r: 6, q: 2, j: 3, g: 3, n: 3}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (195\/(-3783))\/(3\/(-3))*28\/(-70).\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 303019\/34515 + -6\/3835. Let b = g - 1501\/90. Let z = 2\/527 - -25819\/1054. Find the common denominator of z and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 5. Suppose a + 334 = 329. Let d(b) = -b**2 + b + 2. Let q(o) = -o**2 + 5*o + 10. Let f(k) = a*d(k) + q(k). Calculate f(h(m)).\nAnswer: 4*m**2 - 40*m + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 393*(-100)\/(-150650) + 2398\/(-23).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*i**3*l - 39571*i**3 - i**2 - 3082*l**2 wrt l.\nAnswer: 10*i**3 - 6164*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/3 - 2\/(-6). Suppose 0 = j + 3*i - 14, -3*j + i + 32 = -0*j. Suppose f = -5*p + 7, 0*f - f - j = -4*p. Solve 0 = 3*y - p - h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r - 10. Let t(b) = 2*b + 10. Let m(s) = 2*s**3 - 12*s**2 + s - 2. Let w be m(6). Calculate w*o(x) + 5*t(x).\nAnswer: 2*x + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.19 minus 1365?\nAnswer: -1362.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -a7 (base 14) in base 9?\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 167662.00611 + -167628. Let t = 34 - h. Round t to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100101110010 (base 2) to base 10.\nAnswer: -6514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 128129816.4 to the nearest 100000.\nAnswer: 128100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*2*(-16)\/32?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwwqwwqwwwiwwrww. Give prob of picking 1 q and 1 r.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -15. Let i = -11.35 + j. Let t = i + 1.4. What is t rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7*m = 25. Differentiate -4*o - 1 + m*o - 3 wrt o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 56*d**2 - 6*d + 4. Let c(f) = 223*f**2 - 26*f + 17. What is 2*c(v) - 9*n(v)?\nAnswer: -58*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p + 325 - 600 = -528 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 36 = -2*i. Suppose 3 + i = 6*f. Find the second derivative of -2*n**4 + 17*n**5 - 9*n - 6*n + f*n**4 wrt n.\nAnswer: 340*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1024528, -1024539, -1024556, -1024579, -1024608, -1024643, -1024684?\n\"Answer: -3*u**2 - 2*u - 1024523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**4\/3 - 1996*o**3 + 271486*o**2\/3 + 1996*o - 90495 = 0.\nAnswer: -6033, -1, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 + 6)*(-5)\/15*43661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 214 = a, -s + 4*a = -6*s - 368. Let j = -75 - s. Find the common denominator of 47\/50 and (j\/35)\/(4\/90).\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = y - 11. What is the second derivative of -726*d + 136*d**3 + 1460*d + y - 733*d - 115 wrt d?\nAnswer: 816*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**2 + 2*d**2 + 3*d**2 + (2*d**2 + 0 + 0)*(-1 + 5 + 0) + 5*d**2 - 6*d**2 + 8*d**2.\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4 = 2*m, -197*x + 198*x + m + 1 = 0. Which is the closest to -1? (a) -285 (b) 1\/4 (c) 2\/5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 10 = 0, -1070*r + 2*v = -1073*r + 13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -214\/5 + 43. Let p = 0.5 - 0.9. What is the third smallest value in p, l, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dsdsssslstsss. Give prob of picking 3 s and 1 t.\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -36) + 72\/(-11 + 3). Solve -27*w - 3*i = -29*w + t, 0 = -5*w - 2*i + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 15*r = -40*r - 322 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 619494*s**2*t**4 + 399*s**2*t**2 - 2*s*t**5 - 3902*t**2 wrt t?\nAnswer: 14867856*s**2*t - 120*s*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 8*q**2 - 8*q - 1. Let g be s(-7). Suppose -g = -m - m. Sort m, -4, 0 in increasing order.\nAnswer: -4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l + 66*l - 158*l)*(5*l**2 - 3*l**2 - l**2)*(-43 + 1 + 9)*(2 - 2 - 1).\nAnswer: -2838*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 7*b + 0*b = 0. Suppose g - 13 - 13 = b. Solve 2*r = 2*j + 3*j - g, -j - r + 1 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38998 and 1550?\nAnswer: 974950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2 - 4. Let c be z\/6 + (-7)\/(-3). Suppose -1 - 5 = -c*m. Solve -m*u + u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3\/5*b**4 - 12\/5*b**5 + 24\/5*b**3 - 6\/5*b**2 + 3\/5 - 12\/5*b = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1431299015 rounded to the nearest 100000?\nAnswer: -1431300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -199068 + 21100951\/106. Let u = h + -4\/53. Let i = -3 + 1. Which is the second smallest value? (a) u (b) -3\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p**3 - 2*p**2 - 2*p - 7. What is the remainder when 40 is divided by o(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 517 + -405. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4089*y + 49056. Give s(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mgfnfgk. Give prob of picking 1 k, 2 g, and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194930.\nAnswer: 2, 5, 101, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -114, -173?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9244 != 9246?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -58*i - 14. Let c(q) = -2*q - 23. Let f be c(-8). Let l be r(f). Let a be (1 + l)*((-3009)\/9 + 1). What is a rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3\/3 - 790*s**2\/3 + 43250*s\/3 - 556250\/3 = 0. What is s?\nAnswer: -445, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 5*q - 25, -6*q = -4*j - 14*q + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 8834 = -2*p - 8947, -2*n + 4*p = -202 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72866860 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 1. Let i(l) = l - 2. Let n(r) = -2*r + 4. Let y(a) = -5*i(a) - 2*n(a). Let g be y(7). Put q, g, -1 in decreasing order.\nAnswer: -1, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/5))**(-44)*(((t*t\/(t*t**6))\/t)\/t)\/(t\/(t**(2\/7)*t)))**(8\/9) assuming t is positive.\nAnswer: t**(1016\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (8 - -3)) + 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 10:25 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*g. Suppose -5*v - 2*y - 2*y + 117 = g, -93 = -5*v + 4*y. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/2*339\/(-452)*4\/3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.353 - 0.667. Let h = 4.016936 + v. What is h rounded to 4 dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + 2*c - 3. Let b be o(-6). Suppose t + 0*t - 13 = -3*j, -4*t + 74 = j. What is the greatest common factor of b and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25112 is divided by 92.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(52\/28 + (-2 - 0)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + -26. Let i = 213\/5 + m. Let p be (-7)\/1071 + 20\/170. Put i, -3, p in descending order.\nAnswer: i, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4*q**1)\/(q**(2\/7)*q*q**(2\/3))*(q**(-1\/2))**(4\/19)\/(q**(-3\/2)*q*q*q\/((q**(1\/4)*q)\/q)) assuming q is positive.\nAnswer: q**(2701\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + q**2 + q - 1. Let m(y) = 4*y**3 + 3*y**2 + 2*y + 6. Calculate -2*b(r) + m(r).\nAnswer: 2*r**3 + r**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, s: 2, v: 3, q: 6}. What is prob of sequence vv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.243 + 0.543. Sort p, -2\/3, -129.\nAnswer: -129, -2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -1, -2, -0.5, -2234, 11 in decreasing order.\nAnswer: 11, -2\/9, -0.5, -1, -2, -2234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 23*w - 57. Let o(r) = -4*r + 10. Let t(x) = 6*d(x) + 34*o(x). Calculate t(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 + 64 = -2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*x + 2*m = 0, 2*m - 10 = -2*x. Let u be (3\/x)\/(0 - 1\/22). Calculate the least common multiple of (3 - -1)*(-1)\/(4\/u) and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19218 + 11*l + 19207 + 17*l to the form m + n*l and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + b - 2)*(13*b**2 - 5*b**2 - b**2) + (-5 + 4 - 1)*(0*b**2 - b**3 + 0*b**2).\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1, 33888 in descending order.\nAnswer: 33888, 1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u*u\/(u\/(u\/(u*u*(u\/(u\/(u\/(((u\/((u*u\/(u*u**(-1\/6))*u)\/u))\/u)\/u*u))))\/u)*u*u))*u*u))\/u)**40*(u**(-1)\/u)\/(u\/(u**(-1\/7)\/u)) assuming u is positive.\nAnswer: u**(-3307\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*a - 15*a - 228 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/5)\/m)\/m)**(3\/32)*m\/(m\/m**0)*m\/(m**(6\/5)*m) assuming m is positive.\nAnswer: m**(-45\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.099 and -32.775.\nAnswer: -32.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 68.30177 centimeters?\nAnswer: 683017700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - h - 160, -645 = 4*q + h - 2*h. Let a = q - -165. Solve 3*b = -x - 5, a + 7 = -3*b + 5*x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5528 (base 10) to base 2\nAnswer: -1010110011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 5*p + 0*p)*(-1689*p + 2374*p - 1696*p)*(-2*p**3 + 7*p**3 - 3*p**3).\nAnswer: 2022*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y - 41. Determine l(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 694.07.\nAnswer: -693.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efd when three letters picked without replacement from eeeedfeddedee?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -4. Let o = -3094.51 + 3094.41. Which is the nearest to 2? (a) o (b) 3 (c) w (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a - 9. Let k(v) = 3*v + 17. Let o(t) = 3*k(t) + 5*r(t). Determine o(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 0 + 12*i - 1\/60*i**6 + 1\/10*i**5 + i**2 + 0*i**3 + 1\/3*i**4. Factor j(f).\nAnswer: -2*f*(f - 4)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + 2132?\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 634338 and 54?\nAnswer: 634338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1074*o**4 - 13*o**3 + 22782*o**2 wrt o?\nAnswer: 25776*o - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 22. Let x be -2 + (s\/(-6) - 56\/(-12)). Let c(g) = 42*g**3 + g**2 - 7*g + 1. Is c(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 21*y**2 - 181*y + 2199. Calculate n(14).\nAnswer: 1037","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1472 - c**3 + 5*c - 3*c**2 + 1472. Let p be s(-5). Solve 34*h - 29*h + p = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**4 + z**3 - z. Let g(h) = -220*h**4 + 8*h**3 - 8*h - 984. Let d(q) = -g(q) + 8*t(q). What is the first derivative of d(f) wrt f?\nAnswer: 848*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 130151520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -736*h**2 - 14*h - 37.\nAnswer: -1472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11279 is divided by 68.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 + 49 - 3*d - 108 + 39 to the form t*d + i + k*d**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9712*3\/48*12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**(-5))*v)\/v*v\/(v\/((v\/((v\/v**(-2))\/v*v))\/v)))\/(v\/v**(1\/5)*v*v**(3\/2)*v*v))\/(v**(-6\/11)*v\/v**6*(v\/v**(1\/4))**(-1\/61)) assuming v is positive.\nAnswer: v**(30299\/13420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + sqrt(152) + -1*sqrt(152))*4)\/(sqrt(64)\/sqrt(72) + sqrt(8)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express c - c - 3*c - c as n + y*c and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.751, -0.2, 0.1 in decreasing order.\nAnswer: 0.751, 0.1, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3 + sqrt(192)*1) - 6*5*(-2 + sqrt(192)))**2.\nAnswer: -28272*sqrt(3) + 187761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -216 - -224. Suppose 5*p - q + 4 = -0*q, 0 = -2*p + 2*q - z. Factor 1\/2*t + p - 1\/2*t**2.\nAnswer: -t*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5520 = 16*m + 7*m. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + d + 4*k, -d + 12 = 2*k. Let b be (d - 5)*1*2. Does 12 divide (b - 3)\/(3\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 668?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -10*u**3 - 4*u**2 + 307*u - 2. Let m(b) = -40*b**3 - 18*b**2 + 1230*b - 9. What is 9*l(c) - 2*m(c)?\nAnswer: -10*c**3 + 303*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**4\/4 - 4*w**3\/3 + 1. Let x(y) = 2*y - 1. Let l be x(-2). Let f = 9 + l. Determine r(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -110 - -429. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 124 + -315?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1961846, -3923691, -5885536, -7847381, -9809226, -11771071?\nAnswer: -13732916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 + 5*n - 13. Determine g(6).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 23*i - 20*i + 18, 3*n - 5*i = 29 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80*p**4 - 74*p*x**3 + 17311*x**3 wrt p.\nAnswer: -320*p**3 - 74*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -56180, -112349, -168532, -224735, -280964, -337225, -393524, -449867?\n\"Answer: -b**3 - b**2 - 56159*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(36\/30))\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8831 divided by -8831\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8197356l?\nAnswer: 819.7356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 12*l**2 - 13*l + 14. Let b be z(11). Let o = b + -6. Let h = -2 - o. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 16 = -6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462 = 38*u - 652 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -26*a - 7\/6*a**3 + 0 + 1\/40*a**6 - 17\/80*a**5 + a**2 + 17\/24*a**4. Solve n(m) = 0 for m.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q - 963 - 955 + 1934. Give k(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + g**4 + 1 + (-g**3 - 4*g**3 + 3*g**3)*(-2 + 2 - 2*g) - 3*g**4 + 7*g**4 - 2*g**4 - 2 - 3*g**4 + 10*g**4 - 8*g**4.\nAnswer: 6*g**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 7. Let y be (-36)\/(-18)*(g\/4 + 2). Sort 15, -1, y.\nAnswer: -1, y, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1590832?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -579044.52 to the nearest 1000.\nAnswer: -579000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -19*n**2. Let p(l) be the third derivative of 0*l - 51*l**2 + 1\/15*l**5 + 0*l**4 + 0 + 0*l**3. What is i(p(r))?\nAnswer: -304*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4087)\/305 - (-3)\/(45\/6). Let a(w) = 6*w - 58. Let t(p) = -p + 9. Let h(s) = u*t(s) - 2*a(s). Let v(j) = j**2 + 5*j - 5. Calculate 5*h(y) - v(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/259278 at most 559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 a when three letters picked without replacement from iiiiiiiaiaa?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6913876, -6913874, -6913874, -6913876, -6913880, -6913886, -6913894?\n\"Answer: -l**2 + 5*l - 6913880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 10*o - 38. Let w be m(5). Calculate the highest common factor of w and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**6\/15 - 11*l**3\/3 - l**2. What is the derivative of z(q) wrt q?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f. Let v(m) be the first derivative of 2 + 0*m + 2*m + m**2 - 1 + 1. Determine 3*k(j) + v(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18446\/247 - 1416\/19. Which is the biggest value? (a) -16\/109 (b) j (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s - 2*s + 0*s**3 - s**3 - 66*s - 25*s.\nAnswer: -s**3 - 80*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122870*f**3 - 245444*f**3 + 122933*f**3.\nAnswer: 359*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -11, -22, -37, -56, -79, -106?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 4*i = 4*q + 2922, 4*i - 5*q = -3896. Is (i\/(-6))\/((-4)\/(-12)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(156\/18)*(-5)\/(3330\/(-24))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 303900 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3607 and -2.\nAnswer: -7214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 320*w - 2. Let c(s) = -3*s**2. Calculate g(c(r)).\nAnswer: -960*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122899307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-113040)\/(-1296) + -86)*(1 - 194\/198)\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106 - 101. Suppose 3*v - 7 = -1. Let c = 0 - v. What is the second smallest value in l, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((70\/150)\/7)\/(13*5\/(-1170))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 15 = -3*p + 1, -2*p - 5*z = 14. Which is the nearest to p? (a) -5 (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -4. Suppose 300 = s*x - x. What is the greatest common divisor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 1757*t + 246080. Determine p(-140).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**1*k)\/k)**43\/((k**1*k)\/(k*k**(2\/5))))\/((k\/k**(-1))**(-2\/71)\/(k**4\/k**(-2))) assuming k is positive.\nAnswer: k**(32467\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 16758.\nAnswer: 50274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 - -1011010111110101?\nAnswer: 1011010111100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00127934 rounded to five decimal places?\nAnswer: -0.00128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/4, -0.1309, 17, -0.1 in descending order.\nAnswer: 17, 5, -0.1, -0.1309, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (-141)\/30)\/((-3)\/(-8))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1220)\/(-12))\/(-5)*(2 - 29). Find the common denominator of i\/342*(4\/(-12) - 0) and (-194)\/(-16)*2\/(-4).\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.6867676 times -0.2?\nAnswer: -1.73735352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 1)*(-24 + 11 - 114)*(0*w - 2*w + 0*w).\nAnswer: 508*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4 + 1 + 87\/(-6) and 91\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -2*n + 8, 25*n = -2*y + 162 - 183 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 5, -2\/11, 3\/5, -6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.017 and 127?\nAnswer: 127.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from {j: 3, d: 11, x: 1, p: 4}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d33657 - -3?\nAnswer: -1d33654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -9*h - 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 3*l - 7*l + (-l - 2 + 2)*(2 - 2 + 2))*(5 + 0 - 3) to j + o*l and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 8538 = 36618. What is j rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 45*w - 15 = -43*w, 2*w = 6 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-1 - (-1 + 4)) + 3 + (-224 - -194)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u. Let y(d) = 8*d + 138. What is y(g(p))?\nAnswer: 8*p + 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 107742121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 97, 94, 89, 82, 73, 62?\n\"Answer: -m**2 + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2caa - -3224?\nAnswer: 6201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3208, -6396, -9582, -12766?\n\"Answer: i**2 - 3191*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 18, -0.5, 0.4, -433 in descending order.\nAnswer: 18, 0.4, -0.5, -1, -433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 10. Let p(x) = 107*x + 322. Let n be p(-3). Let i(g) = 4*g**2 + 6*g + 6. Let a(l) = 0 + l**2 - 4*l + 5*l + 1. Determine m*a(u) + n*i(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-1727.04\nAnswer: -172.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 2*b**2 - 11*b - 12.\nAnswer: (b - 3)*(b + 1)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**2*i*r + 372*f**2*k*r**2 - 17*f*r**2 + 2*i**2*k*r - 2*i**2 wrt k.\nAnswer: 372*f**2*r**2 + 2*i**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**3 + 32898*j**2 - 65804*j = 0.\nAnswer: -16451, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + 3*b - 1544 + 1625, 34 = 3*g - 2*b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 220686 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 26475, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 9\/251054?\nAnswer: 9\/251054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2, 2, 176, 28 in ascending order.\nAnswer: -2, 2, 10, 28, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 2:51 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j. Let k(x) = x. Let r(w) = -10*k(w) + 6*p(w). Let a(g) = -13*g**2. Determine r(a(v)).\nAnswer: 52*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 537 + 159 = 0. Let z = -49 - x. Calculate the lowest common multiple of z and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2\/9 - 101092*d\/3 + 154753024\/9 = 0. What is d?\nAnswer: 512, 151126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/2)\/(2510\/(-3765))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(((-4)\/(-2))\/2). Let w = s + 12. Suppose 0 = 5*a - 38 - w. What is a rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*t**2 + 1)*(3*t**2 + t**2 - 5*t**2 - 3*t).\nAnswer: -2*t**4 - 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 4*s - 4. What is the smallest common multiple of a(6) and 2 - ((-4)\/(-4))\/(2\/(-12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 161*y**4 - 2*y**3 - 1 - 2*y**2 + 3*y - 160*y**4 - 2*y to the form k*y**3 + p + v*y + d*y**4 + q*y**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 3:13 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -36323700 to the nearest 1000000.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1058 + 2571. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6 + -2.4. Let k = 8 + f. Put -0.1, k, 1 in descending order.\nAnswer: k, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19767 divided by 1.\nAnswer: 19767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66142.\nAnswer: 2, 33071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*c + 3*s + 60, 26*c - 41 = -30*c + 51*c - 2*s for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + 10100110?\nAnswer: 10011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 21 times 12\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(5))**2*-1 + (sqrt(125) - sqrt(125)*-1).\nAnswer: -9 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 11*l**2 - 11*l - 10. Let t be b(12). Suppose x - 3*x = t*v - 16, 3*v = 4*x + 3. Solve 2*c = -w + 2, -w = 4*w - x*c + 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 3*k**2 - 4*k - 9. Let d be z(-3). Suppose -8*x + d = 3. Suppose x = -2*u + 193 - 19. What are the prime factors of u?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 9*a + 1158 - 1164, -3*c - 3*a = -6. Find q such that -24\/5*q**2 - 16\/5 - 4\/5*q**c - 36\/5*q = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 799623 and 273042.\nAnswer: 11194722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/(6*sqrt(2)*2))\/(sqrt(400)*-2*5 - sqrt(400) - sqrt(400)))**2 + -1.\nAnswer: -2073589\/2073600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -320121 + 3?\nAnswer: -320113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 168970645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -200a6 (base 11) to base 13\nAnswer: -104c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 738116 is divided by 4530?\nAnswer: 4256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y + 8. Let x be a(25). Let i = 123 + x. Solve -2*l = -4*m - 10, i*l - 3*m - 9 = 4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + v**2 - v + 4. Let q be n(0). Suppose o - q = 2*o. Calculate the common denominator of -10\/11 and 78\/(-65)*(-34)\/o.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 18 + 22. Let t be (54\/(-48)*(8 - 4))\/((-8)\/48). Solve 0 = -v*u + 4*l - 1 - t, 0 = 2*u - 4*l + 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2370, -4735, -7110, -9501, -11914, -14355, -16830, -19345?\nAnswer: -21906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-207)\/7 - (-12)\/(-28). Let y be (-4)\/(-15)*g\/(-20). Let r be (-8)\/(-6)*(-2)\/(-8). Is y less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 + 3*d. Let i be l(-1). Which is the nearest to 1? (a) -3 (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 2*t**2 + t**2)*(-303*t + 251 - 120 - 131 + (0*t + 3*t - 5*t)*(-1 + 1 - 1)).\nAnswer: -301*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 67866.6\nAnswer: -339333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 274 (base 9) to base 16.\nAnswer: e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6744528 greater than 6744528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 223160, 223158, 223142, 223106, 223044?\n\"Answer: -t**3 - t**2 + 8*t + 223154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -127016 or 401?\nAnswer: 401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -75972, -151949, -227930, -303915, -379904?\n\"Answer: -2*l**2 - 75971*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -w + 3. Suppose -96 = -w*i - i. Let l = -17 + i. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13400 = -3*c + 3*a + 53078, 4*a - 66148 = -5*c. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4661354.\nAnswer: 2, 59, 39503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31.9 - 19. Let h = f + -0.9. Which is the third biggest value? (a) 0.1 (b) h (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 14*k**5\/5 + 38*k**4\/5 - 12*k**3\/5 - 56*k**2\/5 + 16*k\/5 = 0?\nAnswer: -2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 - -57. Suppose k + 6 = 4*n, 3*k + 2 = k + 3*n. Suppose 0 = -5*x + 4*j + 100, -3*x + 105 = 2*x - 5*j. Solve -l*s = k*s + x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + sqrt(2299) + sqrt(171)*-2 + 4)**2.\nAnswer: 40*sqrt(19) + 491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**5\/60 + 7*d**4\/24 + 7*d**3\/6 - 5*d**2 + 10. Let q be f(-5). What is the fourth biggest value in -0.2, -3\/5, q, -0.035?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2 + 4*r - 4. Let w(s) = s**3 + 6*s**2 - s. Let v be w(-6). Let c(q) = -9*q**2 + 6 - v*q + 1 - q + 0. Calculate 4*c(o) + 7*n(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 7 = -23. Let g be b\/10*50\/20. Let d be (1\/6)\/(55\/22). Which is smaller: g or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -276 - -5?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3\/11 + 186*p**2\/11 - 2*p\/11 - 186\/11 = 0. What is p?\nAnswer: -93, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -1815*p + 5781. What is the remainder when o(3) is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 9:20 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110786624.\nAnswer: 2, 13, 133157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 646517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 756\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + (-2*sqrt(77)*-4 + 3*sqrt(77)*-3)\/(sqrt(175)*2*-4 - sqrt(175) - (-1*sqrt(175)*-6 - sqrt(175)))).\nAnswer: 3*sqrt(11)\/35 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.032 (c) 0.2 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11366603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/8 of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 10:00 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/24 and 71\/21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -12, -3, 69, 83 in descending order.\nAnswer: 83, 69, 11, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/156405 and -47\/27.\nAnswer: 1407645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -31 (b) -3\/32 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 7*k + u - 10, -3*k - 5*u + 32 = 0. Let a be (21\/k - 1)*(-99)\/(-6). Calculate the highest common factor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*f + 28*t - 29*t, 2*t = -5*f - 15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6921 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 5 + 2)*(0 - 3 + 1) - 3 + 32 + 23)*(a - a - 2*a - 4*a - a + 0*a + (3*a - 4*a - a)*(2 - 1 + 0)).\nAnswer: -450*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h. Let w(f) = 2*f + 5. Let c(n) = n + 2. Let s(u) = -10*c(u) + 4*w(u). Give s(l(b)).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - -6 - (105 + -121)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30 - ((3 - (4 - 0)) + -12)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-187 - -22)\/((-55)\/15)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 12. Let w be o(-13). Let q be w + 12\/15*10\/(-4). Is q at most as big as -3\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(4\/3)*t*t*t\/(t*t\/(t**(1\/6)\/t)*t)*t*t)**(-16))**(-2) assuming t is positive.\nAnswer: t**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*(-6)\/6*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-2 + 474\/(-30))\/(288\/480).\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6173411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3682 divided by 333?\nAnswer: -3682\/333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6130, -12347, -18644, -25021, -31478, -38015, -44632?\nAnswer: -51329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 17 = -19. What is the units digit of (1 - (2 + t)) + (67 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6\/(-45) + 4210\/75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from jshhjhhshjiswhiha?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 2:17 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 422420420 (base 5) in base 13?\nAnswer: 499b07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9816 is divided by 138?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 102*w - 4. Let i(p) = -101*p + 5. Determine -5*i(m) - 6*l(m).\nAnswer: -107*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1080, -1071, -1050, -1011, -948, -855?\n\"Answer: i**3 + 2*i - 1083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -463, -660, -993, -1474, -2115, -2928, -3925, -5118?\nAnswer: -6519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159853 is divided by 1837?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o + 88 = w, 34*w = -o - 530 + 421 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6313 is divided by 498.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mppmpppptmtppmpl. Give prob of picking 2 m, 1 p, and 1 l.\nAnswer: 27\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 12 - 16 = 0. Let f be ((-21)\/u + 1)*(23 + 1). Let j(r) = r**2 + 13*r + 16. Calculate j(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.035999 and 2747440.12?\nAnswer: 2747440.155999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - -11*(1 + -2). Let l(f) = 7*f + 23. Let z(r) = 10*r + 34. Let t(c) = -7*l(c) + 5*z(c). Let y be t(-6). Put y, d, 2 in ascending order.\nAnswer: d, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2583422569?\nAnswer: 7, 13, 28389259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-9)\/(-5))\/((-36)\/(-300)) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*a + (0 + 0 + 2)*(-3 + 3 + a) + (0 + 1 - 2)*(1 - 1 + 2*a) + 1 - 1 - 2*a + a + 3*a - 5*a + 3*a - a + 0*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 34*m - 27500 = 0. Let k = m - 503. Is 48 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(572\/(-4))*156\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-3 + 4 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1*2)\/(7 - 16). Which is the third smallest value? (a) 0.4 (b) 0 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117313, -117287, -117229, -117127, -116969, -116743, -116437?\nAnswer: -116039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/2246 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 249 + -250. Let y = 0.1 + -0.12. Let w = 0.12 + y. What is the second biggest value in q, -5, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 3*r**2 + 2*r + 8. Let c(y) = -3*y**2 - 2*y - 9. Let m(h) = -5*c(h) - 6*v(h). Suppose -5*i + 10 = -10*i. Is m(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4192.2 < -0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15100b - 3c0?\nAnswer: -1513cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18384 - -18383.6496. What is a rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39322759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + 3 + 5 - (sqrt(1377) - 3*(sqrt(1377) + 0 + sqrt(1377))) - (1*(sqrt(1377) + -1) + 0)*-5)**2.\nAnswer: 594*sqrt(17) + 166626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -32.5 from -16354.\nAnswer: -16321.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u + 207. Give p(28).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 15*i**2 + 31*i - 18. Let s be c(-14). Let d = -106 - s. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 230051\nAnswer: -6\/230051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**3\/3 + 6*g**2 - 10*g - 1. Let o be b(10). List the prime factors of o - -5 - (-3 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*l - 113*l + 335*l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49.023 + -0.023. Let l = o + -190. Let a = 140.99999939 + l. What is a rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39676323*f**2 - 38002048*f.\nAnswer: 79352646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r + 26*r - 6*r - 13*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.56 - -1.6. Is i <= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ycvyyycycvvv. Give prob of picking 3 c and 1 v.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-187)\/12)\/17 + 35\/28?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0208 + -0.02. What is g rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 126*c**3 - 5*c**2 - 12121*c - 92767955.\nAnswer: 378*c**2 - 10*c - 12121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.044702 to 4 dps.\nAnswer: 0.0447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16177, 64684, 145529, 258712?\nAnswer: 404233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suf when three letters picked without replacement from {f: 2, n: 4, u: 1, s: 2, x: 1}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69436 + 119767. Let f = -34831 + u. List the prime factors of 1\/(-9) - f\/(-180).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/10 - (952\/(-5))\/17?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -809 (base 10) to base 12\nAnswer: -575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33031 - -3?\nAnswer: 33100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*k**6 - 2*k**3 + 3*k**2 + 15 wrt k.\nAnswer: 1800*k**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 2*w**2 + 2. Let q = 5 - 2. Suppose -q*f = -2*f - 2. What is the units digit of i(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 440424*p**2*r**3 + 212*p**2*r**2 + 96*p*r**3 - 1023377*p*r wrt p?\nAnswer: 880848*r**3 + 424*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 3585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286 and 3003?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 102133433?\nAnswer: -102133425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -2*h + 60. Which is smaller: -70 or h?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29221.254 hours in days?\nAnswer: 1217.55225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -8*h + 4. Let y be v(-4). Suppose -5*g - x = -3*x + y, -2*g = 2*x + 20. Let r = g - -17. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 84?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 - 183*a**2 - 110*a - 1735. Calculate p(-91).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8132, -8131, -8138, -8159, -8200?\n\"Answer: -g**3 + 2*g**2 + 2*g - 8135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1 (b) -17.1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + w - 2, 86*m - 83*m - 4*w + 35 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**2 + 16295*q - 160862160 = 0 for q.\nAnswer: -7531, 4272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a factor of 248162824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/1590141 and 143\/6.\nAnswer: 3180282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1564204 is divided by 5753.\nAnswer: 5141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/34*1\/(-32))\/(((-1239)\/(-126))\/59).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*j**2 - 78 wrt j.\nAnswer: -86*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23970.\nAnswer: 2, 3, 5, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -433609, -867217, -1300823, -1734427?\nAnswer: -2168029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -116, -500, -884?\n\"Answer: -384*u + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 8*g - 10. Let u = g + 1. Calculate the greatest common divisor of u and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 divided by 56\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -226, -199, -186, -193, -226?\n\"Answer: -l**3 - l**2 + 37*l - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -1 (c) 2623\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t**3 - 2*t**2 - 2*t - 1. Let o be b(-2). Let c = -39 + o. Suppose -c*n = 2*n - 42. What is the greatest common factor of 63 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*p - c, -25358*c - 25357*c - 10 = 2*p - 50719*c - 62 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**3\/3 + q**2\/2 - 2. Let g(l) = 4*l**2 + 2*l. Let d(t) = 3*g(t) - 8*h(t). What is the second derivative of d(k) wrt k?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a**2 - 174*a - 657. Calculate z(25).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 11*w + 33. Let z be n(-4). Suppose 2*b + 4*p = 674, -2*p + 2250 = z*b + 581. Calculate the greatest common divisor of b and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -58296 and -1.04.\nAnswer: 60627.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37609\/2765 - -1\/553. Suppose -9 = -3*k, -o + 3*o = k - 31. Let w = o - b. Is w < -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 70849044?\nAnswer: 141698088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 57385760 divided by 7173220?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317833.\nAnswer: 59, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 221198310?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9*x**3 - 66*x**2 + 17*x + 67. Let y(s) = -10*s**3 - 76*s**2 + 18*s + 66. Let w(v) = -6*u(v) + 5*y(v). Factor w(z).\nAnswer: 4*(z - 2)*(z + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99504 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 7:07 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 3, e: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -367677.\nAnswer: -367677, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 1. Let k(i) = -i**2 - 2. Suppose q + 4 = x - 2*q, 2*q = 5*x - 7. Let a(r) = x*k(r) + 2*l(r). Let o(j) = -5*j**2. Determine o(a(d)).\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 m when three letters picked without replacement from {m: 3, y: 15}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfb when three letters picked without replacement from vbavfzp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/3786 and -27\/8?\nAnswer: 15144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4164732 divided by -13\nAnswer: 320364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21008448?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6.555148 decades?\nAnswer: 0.06555148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*d + 58*d + 165*d + 7 - 7 - 4.\nAnswer: 116*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 > 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 5:50 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 26 and 99.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 47 and 1722956.\nAnswer: 1723003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k - 197 - 811 = 43*k for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b7cdb - 4?\nAnswer: b7cd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*v + 392 + 1353 = 0, -5*v = -4*x + 7169. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.39974 centuries in years?\nAnswer: 1139.974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 32443796 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpx when three letters picked without replacement from xxppxx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.056 in 3, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - p + 45 = 4, -2*z - 4*p - 16 = 0. Is (-1)\/(6\/z) + (34 - 1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/39, -2\/3, 5?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4754 or 4753?\nAnswer: 4754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1270 by 635.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2343820?\nAnswer: 2, 5, 117191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*r**2 + 8*r**2 + 165*r**3 - 9*r**3 - 2*r**2 + 5*r**2 as w*r**2 + m + c*r + d*r**3 and give d.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157 + -151. Let b be o\/(-7)*3\/(9\/(-210)). Suppose -54*x = -b*x + 24. Solve -3 = w - x*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-1*(8\/2)\/8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3200133 - 30?\nAnswer: -3200223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4\/19, -0.5, -5, 288?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-10)*(-10)\/2. Let w = n - 11. Which is greater: w or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.049 - -0.049. What is the biggest value in -0.1, -3, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 286 = 3*t - 2114, -1615 = 2*m + 3*t. Let z = 796 + m. Let b(j) = j**2 + 4*j - 2. Give b(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 5*w**9\/252 + w**5\/6 + 15*w**2\/2 - 8*w. Let x(i) be the first derivative of s(i). Find the third derivative of x(b) wrt b.\nAnswer: 1200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**2 - 736*d - 282872. Calculate n(-208).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 49*j**2 + 6*j + 6. Let b(z) = -48*z**2 - 7*z - 7. What is 6*b(q) + 7*d(q)?\nAnswer: 55*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6578753989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3876422*-12.7.\nAnswer: -4.92305594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 3, -4*b - 20 - 34 = -2*f. Suppose f = 6*r + 13. Solve -2*c - r = a, c + 3*a + 1 = 2*a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1274 is divided by 72?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + b = 151, k - 160 = -3*b - 7. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s + 11. Suppose -2*c - 8 = 0, 3*c - 32 = 4*n - 0. Let h(r) = -24*r + 56. Let j(i) = n*d(i) + 2*h(i). Differentiate j(b) wrt b.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2556981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 16. Suppose 0 = -5*i - d + 65. Calculate the remainder when (i\/15)\/(2\/10) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 + 0*t**2 - 2 - 80363*t + 79840*t to b*t**2 + y + u*t and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6181228 and 4268?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/18*(-2275)\/(-100) + (-80)\/5?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.521 less than -52.022798?\nAnswer: -49.501798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14*-10327\nAnswer: -144578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**3\/5 - 852*v**2\/5 + 30567*v\/5 - 258672\/5 = 0.\nAnswer: -317, 16, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-112)\/(-32)*(-60)\/(-14). List the prime factors of (3 + -4)\/(-5) + 567\/z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3146524 and 0.3.\nAnswer: 3146524.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*l*r**2 - 10524905*l - 250571128*r**2 - 2 wrt l?\nAnswer: -4*r**2 - 10524905","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - n - 4. Let k be r(-3). Let y be k\/(-35) - (-38)\/14. Suppose 0*d = y*d - 15. Solve d*s - 29 = 4*m, s - 4*m + 6 = 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v - 32. Let y be m(16). Suppose y*a = -8*a + 104. Let w = -9 + a. Solve -3*k = -w*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5890 and 4650?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 768, 3064, 6892, 12252, 19144?\nAnswer: 27568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/4)\/(4\/20). Let q = 0.6 + -0.5. What is the closest to -1\/4 in q, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*n**5 + 6096\/7 + 6112\/7*n**4 + 3484*n + 36592\/7*n**2 + 24408\/7*n**3.\nAnswer: 4*(n + 1)**4*(n + 1524)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**6\/180 - 8*w**5\/45 - w**4 + 79*w**2. Let f(n) = 0. Calculate n.\nAnswer: -2, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1468408 take away -1354?\nAnswer: 1354.1468408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, c: 2, h: 3, g: 4, u: 2, k: 3}. Give prob of picking 2 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = 20*j + 37. Solve 39 - 19 = -j*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -187, -311, -487, -733?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 - g**3 - 2*g**3 + g**3 to d*g**2 + a*g**3 + t + r*g and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**4\/12 - 672*c. Let k(l) be the second derivative of 2*l + 0 + 13\/6*l**3 + 0*l**2. What is m(k(o))?\nAnswer: -169*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*21\/(-12)*(-4)\/14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.05, -0.3, -2, -2\/3, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 25830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 14. Let q(j) = -5*j + h - 2 + 0. Determine q(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10368359971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/x**(4\/9))\/x*x*x**(-7)*x*x**(-9)\/(x**(-2\/33)\/x))**(-21\/2) assuming x is positive.\nAnswer: x**(4291\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2993364952 + 1125340239. Let h = m - -1868024661.00000092. Let s = -52 - h. Round s to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 15934*v - 86. Let n be i(29). Round n to the nearest ten thousand.\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 519 - 525. Let u(k) = -595*k - 344. Is u(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*q**2 - 3 + (0*q - q + 2*q)*(-427 + 427 - 6*q).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 1. Let s be w(2). Suppose i + s*d = 4*i + 36, -2*i + 3*d = 28. What is the third biggest value in i, 1, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 - 3*q - 4. Let v be a(-2). Let x be -2 - (4 + -2 + v). Suppose -4*y - x*r + 1749 = 181, 2*r = 5*y - 1951. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(-20 - 35*v + 20) + (-2*v + 4*v - 4*v)*(3 + 0 - 2) - 4*v + 3*v + 0*v.\nAnswer: -38*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 - 1.5. Let j = y + -9.2. Let l = -11 - j. Which is the third smallest value? (a) 3 (b) l (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -840, -2820, -6662, -12984?\nAnswer: -22404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(39\/182)*((-145)\/58)\/((-5)\/(-5)).\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2\/4 + 32369*o\/4 - 750417 = 0. What is o?\nAnswer: 93, 32276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1 + (2 + 3 - 3)*(-1 + 2 + 0) - 4 - 1 + 3)*(6*l**2 + 5*l**2 - l**2).\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/172 and 89\/34?\nAnswer: 2924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**2 - 9. Let y(a) = 7*a**2. Calculate y(b(r)).\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 92*j**2 - 117*j + 10763. Calculate u(92).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43330 (base 5) to base 4.\nAnswer: -232111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 9*k**2 - 7*k - 3. Let s be j(8). What are the prime factors of -1 + 2 + (s - 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -926403?\nAnswer: -4\/926403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j - 531 = -477 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 22 (b) -0.4 (c) -88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 3*c + 4865519946 = 2*x, -2*x - 3649139970 = 3*c. Let d be c\/114 - 4\/38. Round d to the nearest 100000.\nAnswer: -10700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/20748 and -191\/14820?\nAnswer: 103740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 7:22 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14031017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1911 + 5797\/3. Calculate the common denominator of k and (50\/(-24))\/(5\/50).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 525 = -5*g, 2*g + 2*g = -3*h + 415. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4966.\nAnswer: 2, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - j = -1, -n + 5 = -0*n + 5*j. Suppose -5*h + 7*h - 6 = n. Find the third derivative of -26*o**h + 21*o**3 - 28*o**2 - 18*o**3 wrt o.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51423792 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16353 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.176323901531081 plus -2?\nAnswer: -0.823676098468919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a factor of 18720401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 987456 and 2496?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p = -382 - 66. Let z be 9\/21 - (-884)\/p. Let f(i) = i - 10. Let n be f(12). Solve 10 = -n*k, -4*h + h - z = 4*k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 6:25 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 138894 = -3*f, 2*z - 9 = -7. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*(27\/12 + 3\/(-2)). Let j be 4 + -5 + (-3 + 1)\/c. Let n = -273 - -275. What is the second smallest value in -1, -0.3, n, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*(p*p\/(p\/(p*(p\/(p\/(p\/p**(3\/4))))\/p*p)*p)*p)\/p))**(-18\/5)*(p\/((p*p**(-21))\/p))\/(p\/(p\/((p**(-1\/3)\/p)\/p))) assuming p is positive.\nAnswer: p**(173\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 850, 2101, 3904, 6259, 9166?\nAnswer: 12625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1115+3.13696122\nAnswer: 1118.13696122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*r - 17. Let t(c) = -c**3 + 8*c**2 + 7. Let j be t(r). Suppose 0 = j*y - 3*y - 144. What is the remainder when y is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + (sqrt(55)*-6 + sqrt(55))*4)\/(sqrt(22)\/(sqrt(2)*-1)).\nAnswer: 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -47925, 2 in ascending order.\nAnswer: -47925, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 23 = -2*j, 4*j + 2*y + 4 = -2*y. Suppose j*b + b + 659 = r, 1897 = 3*r + 5*b. What are the prime factors of r?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + r**3 + 4*r**3)*(-2*r + r - r) + (-4*r + 4*r**2 + 4*r)*(5 + r**2 - 5) - r**4 + 2*r - 2*r + (26*r**2 - 39*r + 39*r)*(r**2 + 1 - 1).\nAnswer: 23*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.3 - -53.3. What is the second biggest value in a, 0.1, -2, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 1. Determine i(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -448.7441 rounded to the nearest integer?\nAnswer: -449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - 20784\/(-3396))*2\/4. Is k greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239446.\nAnswer: 2, 119723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 631.29512 + -65.3.\nAnswer: 565.99512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -70*u - 162. List the prime factors of h(-10).\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -11, 844, 68 in descending order.\nAnswer: 844, 68, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156354?\nAnswer: 2, 3, 11, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-944)\/(-34) - 11004\/(-46767).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3218, 1094, -1030, -3154, -5278?\nAnswer: -7402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-21) + 5\/3. Let m be (-40)\/7 - j\/7. Let h(v) = v**2 + 4*v + 5. Let z be h(m). What is the greatest common factor of z and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 3)*(18 + 17 - 16)*(0*p + p + p) to the form b + o*p and give o.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 142368 and 3843936.\nAnswer: 3843936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooosloalso. Give prob of picking 1 o and 1 a.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 - 8*i - 6. Let c be v(-1). Sort -7, c, -5 in increasing order.\nAnswer: -7, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -803 + 1360. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -6*(sqrt(125) + sqrt(5)) + sqrt(40)\/(-3*sqrt(8)))**2.\nAnswer: 59405\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120 + 1303242?\nAnswer: 1303122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 503 (base 6) to base 14\nAnswer: d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 2*w**2 - 1\/6*w**3 + 0 - 15*w. Give n(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1090*o + 8721. Determine l(10).\nAnswer: -2179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 847, -5, -26, 1, 3, -0.3 in increasing order.\nAnswer: -26, -5, -0.3, 1, 3, 847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**4 - 11598 + 0*j - 4*j - j**3 + 11599 as x*j**2 + g*j**4 + q + w*j**3 + k*j and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -22*f + 3465. Suppose 0 = 3*v - f + 370. Let a(w) = w**2 - 9*w - 7. Calculate a(v).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3.2 (b) -25 (c) -2\/11 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20923 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -7*n - 5*s + 37, -4*n + 32 = 4*s. Solve -5*p = 15, 0 = -2*d + n*p + 2 + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * 4713.\nAnswer: 3770.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -60*c**2 - c = 0.\nAnswer: -1\/60, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2049318?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*d - 175*d = 167*d - 738 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**6\/3 - 242*b**5\/5 - 237*b**4 - 1412*b**3\/3 - 469*b**2 - 234*b + 544. Factor u(s).\nAnswer: -2*(s + 1)**4*(s + 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2366301 and 4732602.\nAnswer: 4732602","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 2*d + 127*d**2 - 129*d**2)*(-2*d + 5*d - d + (-4 + 5 + 3)*(3 - d - 3)).\nAnswer: 4*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 0.4, -0.1, 297304 in descending order.\nAnswer: 297304, 4, 0.4, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + s)*(-2*s + s**2 + 2*s) + ((27*s - 514 + 514)*(s + 4*s + 0*s) - s**2 + 2*s - 2*s)*(-3*s - 5*s - 2*s).\nAnswer: -1339*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r + 2. Let v(p) = 9*p - 3. Let q(j) = -11*k(j) - 6*v(j). Let m be q(8). Solve 20 = -0*x - 4*x - 4*l, -m*x - l - 20 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -4. Suppose -101*m + 108*m - 14 = 0. Put -37, l, m, 1 in descending order.\nAnswer: l, m, 1, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -1434?\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 + 93535*v - 561219\/2.\nAnswer: (v - 3)*(v + 187073)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f - 383 = -409. Which is the fourth smallest value? (a) 5 (b) -1\/5 (c) -3 (d) 1\/9 (e) f\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*(-3 + sqrt(162)) + sqrt(162)) + (sqrt(162) - (5*(0 + sqrt(162)) - sqrt(162) - sqrt(162) - sqrt(162))) + -2 + -3)**2.\nAnswer: -1134*sqrt(2) + 13171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/((sqrt(32)\/sqrt(4))\/sqrt(2)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 55 (b) 0.3 (c) 1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 8:11 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -1 + (-2)\/4. Let y = -2.19 - 15.81. Let o = y - -22. Sort -0.3, o, h.\nAnswer: h, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1407628369?\nAnswer: 7, 201089767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 10 - 21 = 3*x, -z - 49 = 5*x. Let c = 13 + x. Suppose 5*q - 13 = -5*v + v, 0 = c*q + 2*v - 9. Solve -q*g = -5*b, -b + 10 = g + 3*b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efmsmmmsemdbfbsmmmd. Give prob of sequence smmd.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 6*k**2 - 2*k - 10. Suppose -m = -y + 4 + 1, -3*y + 27 = -5*m. Let s be f(m). Find the first derivative of 40*c - c**s - 40*c - 12 wrt c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h + 471. Let m(w) = 6*w + 471. Let b(q) = -3*m(q) + 4*n(q). Let i be b(-45). What is the greatest common divisor of 777 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/2407 and -8\/87.\nAnswer: 7221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 28 + 0 - 4 - r - 20. Calculate h(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.6, 3, -29 in increasing order.\nAnswer: -29, 3, 3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 8 - (-258 + 255)) + -2 + -17 + 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-462) - (-360)\/594?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6 and -817.6.\nAnswer: -811.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676247486?\nAnswer: 2, 338123743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 2 = r, -r + 58*z + 8 = 55*z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 4*r + 290 - 250 = 0, 3*z + 2*r - 22 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73 by -1365.\nAnswer: 73\/1365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*126\/54*-3 - 15?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + (3 + -3 - (-7 + 4) - (-9 + -1)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 912, 995, 1078, 1161, 1244, 1327?\n\"Answer: 83*g + 829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00823522847 rounded to 5 decimal places?\nAnswer: -0.00824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 1 + -3*sqrt(11))**2*-6.\nAnswer: -270 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + 1. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1619 - -1883. Let j = -7827.298167035 - -7563.2981665. Let c = x + j. What is c rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23099.\nAnswer: 23099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, x: 2, a: 1, m: 3, s: 9}. What is prob of sequence ysm?\nAnswer: 9\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 19287589 to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**(-4\/9)*x)))\/(x**(-1\/17)\/x)*(((x*x*x**(-2))\/x)\/x)\/x**(-4) assuming x is positive.\nAnswer: x**(553\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -285 and -6830886.\nAnswer: -6831171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-17))**(1\/6)\/(q**(-1)\/(q*q**(-12\/13))) assuming q is positive.\nAnswer: q**(-137\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13630 (b) 1\/262 (c) 99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/((-2679)\/47))\/((-2)\/(-40))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13981007416 - 1?\nAnswer: -13981007417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Are 1656548 and 400 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*a - 2*b - 12, 0 = -4*b + 15 - 36 - 0 - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12202163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 3, -1, 289, -2 in decreasing order.\nAnswer: 289, 3, -1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -125 - 25. What is the remainder when a is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1454 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b**2. Let h(f) = -1988*f + 39. Calculate h(x(u)).\nAnswer: 7952*u**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -42849, -5, -115, 5 in decreasing order.\nAnswer: 5, 0, -5, -115, -42849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13036 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 3*n - 14 = -2*a, -a + 16 = 5*n. Suppose r + 12 = 3*o, n*o + 0 - 3 = 4*r. Suppose -2*p - 8 = -38. Solve 2*b - 28 = 4*j, -r*j + 4*b - p = 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7389 and 66.\nAnswer: 162558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - 3)*(-4)\/(-6). Let l be m*(-8)\/2*(-30)\/48. What are the prime factors of -36*(-1)\/l + (-4)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49368.618 rounded to the nearest 100?\nAnswer: -49400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.378 * 0.187\nAnswer: -0.070686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -25*c**3 - 13*c**2 + 2*c + 11. Let d(q) = -13*q**3 - 7*q**2 + q + 6. Let y(v) = -11*d(v) + 6*l(v). Let w = -133 - -134. Calculate y(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 35890*r**2 - 27784800*r - 5117904000.\nAnswer: 5*(r - 7898)*(r + 360)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2144, -4348, -6552, -8756, -10960, -13164?\nAnswer: -15368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 39 + 10*246\/(-60)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6658 - -6657.9. What is the fifth biggest value in -1, x, -0.4, 1.5, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1387*l**2*s**3 + 2*l**2*s - 3*l**2 - 976*s**3 - 1178872 wrt s.\nAnswer: -8322*l**2*s - 5856*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -13\/12*i**4 + 0*i - 169\/6*i**3 + 0 - 60*i**2 - 1\/60*i**5. Factor z(j).\nAnswer: -(j + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 38*i + 50. List the prime factors of o(27).\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9022, -9013, -9002, -8989?\n\"Answer: o**2 + 6*o - 9029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 24 = -0*q + 5*l, 3*q - 24 = 5*l. Calculate the lowest common multiple of q and 184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138943559 a multiple of 2218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1549880 to the nearest 1000.\nAnswer: 1550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002705 rounded to six dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29792 - 29791.8. Let j be -2 + (105\/(-6))\/(-5). What is the second smallest value in -29, j, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 39*j - 178. Let y be v(6). What is the highest common divisor of 336 and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -514*i + 1210 = -492*i. Calculate the lowest common multiple of i and (2\/(-2))\/(4\/(-44)).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**9)\/y*(((y\/(y**(-26)*y))\/y*y*y*y)\/y)\/y)**(-30) assuming y is positive.\nAnswer: y**(-510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(18)\/(sqrt(18)\/sqrt(2))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 9:49 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -32981385 and -32981386 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26719, 53397, 80077, 106759, 133443?\nAnswer: 160129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/6)\/z**(-11))\/(z\/z**(-1\/6)*z**5) assuming z is positive.\nAnswer: z**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1232)\/(-98))\/(-7*12\/294)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 - 2*r**3 + r**3)*(5*r**2 - 2*r**2 - 2*r**2) + 2*r**5 - 4*r**5 + r**5 - 546*r**4 - 550*r**4 + 2*r**2 + 1094*r**4 + 90*r**5.\nAnswer: 87*r**5 - 2*r**4 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 - 504 + 504 - 2*c - 2*c**2. Let s be k(2). Suppose s*u - 5*h = 133, -u = 4*u + h - 159. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3) + (-44)\/(-165)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11422, 13878, 16338, 18802, 21270, 23742, 26218?\n\"Answer: 2*a**2 + 2450*a + 8970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3410 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 1496, 2839, 4166, 5471, 6748?\nAnswer: 7991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 11) to base 14.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (518*k + 174*k - 1246*k - 1190*k - 356*k)*(4 - 1 - 2) to d + g*k and give g.\nAnswer: -2100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 12*n**2 - 9*n + 1. Let j(t) = 6*t**2 - 4*t. Calculate -5*j(r) + 2*y(r).\nAnswer: -6*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 973*v**3 + 20 - 18 - 2984*v**3.\nAnswer: -2011*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 7591.\nAnswer: -2\/7591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079707781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 118, 157, 172, 157?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/75 and -3\/17.\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x = -15. Suppose -x*q = m - 4894, -2950 = -3*q + 3*m - 7*m. Is (2\/6)\/(2\/q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/3862848 and 13\/162998.\nAnswer: 923220672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -11. Solve 5*k + 8 + b = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -484 + 729. Let s = -143 + t. Let n = s - 99. Solve -3*x - 5*c = 2*x + 15, x - n = -4*c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -69*i**3 - 2*i + 1. Is j(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*w + 5. Suppose -k = 3*a + 3*k + 5, -5*k - 10 = 0. Put -1, w, a in decreasing order.\nAnswer: w, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 352 - 313. Let z be 3\/(-1 - 7\/(-4)). Suppose -3*f + 5*r + 33 + 50 = 0, 0 = -5*f - z*r + 89. What is the remainder when h is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 4)*(12 - 6*c - 12) + (1 - 2 + 2)*(1 - 1 - 2*c) + 1 - 1 - 2*c + 0*c + c - 2*c.\nAnswer: -23*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 3. Suppose 0 = -4*l + l. Let j be y(l). Suppose 0 = -2*s - j*s. Which is smaller: 1\/3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 603638082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-700)*(-21)\/(-18)*-12?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppipppiipipppiipio. Give prob of picking 2 p, 1 o, and 1 i.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 - (35 - 9 - -10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718282 is divided by 80?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**4 - 1919255*q**3 - 245569956750*q**2 - 10473722367412500*q - 10473476799375000.\nAnswer: -5*(q + 1)*(q + 127950)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 682\/117 - 70\/13. Determine t, given that -8\/9*t**2 - d + 2*t = 0.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**4 + 0*h**4 + 0*h**4)*((0 + 3 - 4)*(-2*h + h + 2*h) + 5*h + h - 4*h) + (0*h**2 + h**2 - 2*h**2)*(-5*h**3 + h**3 + 2*h**3) - 5*h**5 + 32*h - 32*h.\nAnswer: -2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3055078602 to the power of 1\/3, to the nearest integer?\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5334 and 502158.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/7 = 271863\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2. Let y(b) be the second derivative of 1 + 7\/4*b**4 + 0*b**2 - 23*b + 0*b**3. Determine p(y(s)).\nAnswer: -441*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -7*q - q**2 - 8 - 4 + 8 + 26 - 2*q = 0.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -3 + 5\/2*m**2 - 2*m - 1\/3*m**3. Calculate a(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-7585)\/3608 + (-80)\/128.\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101110 + 10111010?\nAnswer: 101101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -173?\nAnswer: -173.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10729 - 2 - (-714)\/(-102)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29733 by -5.\nAnswer: 29733\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 9) to base 4.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-28) + 2\/(-7). Let l(y) = -y + 1. Let p be l(-10). Which is smaller: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 281 divided by 24.\nAnswer: 281\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000984 to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**3\/6 + 3*p**2\/2 + p. Let j(r) = -r + 17 - 4*r - 1. Let w be ((-33)\/(-6))\/(4*(-3)\/24). Give w*o(i) + 2*j(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oowowoooowww. What is prob of sequence owo?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -156 at least as big as -141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8298.175 millimeters to kilometers.\nAnswer: 0.008298175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttst when four letters picked without replacement from ttttsxtxxdsdsxt?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 16675376*t + 17379260296336.\nAnswer: 4*(t - 2084422)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w + 2*w + 0*w)*(-4*w + 2*w + w)*((4*w - 2*w - 4*w)*(-2 + 2 - 2) + 3 - 3 - w + w - w - 2*w) in the form s*w**3 + z + r*w**2 + c*w and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 894908\/6186*(-6)\/(-14)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -5, -2, 2 in decreasing order.\nAnswer: 3, 2, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1984 - -7935\/4. Which is the nearest to r? (a) -0.04 (b) -0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1434695866?\nAnswer: 2, 631, 1136843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*f = -4*o - 111*f + 18, -5*o - 5*f = 15 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1056*j - 530*j + 123*j**2 - 535*j + (j - 6*j + 4*j)*(-1 + 1 + j) to the form t + l*j**2 + p*j and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -188 divided by -2\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -380?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -1.5, 2, 1342, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -6*i**2 - 2. Let s(n) = 5*n**2 + 2*n. Let y(t) = -13*t**2 - 5*t. Let v(h) = 5*s(h) + 2*y(h). Determine v(q(z)).\nAnswer: -144*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z + 3. Calculate j(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 372118353*c**5 + 205136668*c**2?\nAnswer: 22327101180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 3*f**2 + 8*f + 9. Give a(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 37*g**2 - 46*g - 130. Let v be h(-36). Suppose -v - 65 = -59*i. Solve -2 = -i*z + 23, 5*z - 31 = -3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 3987.6515.\nAnswer: 1595.0606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3343)\/(-9) - (-44)\/(-99). What is the highest common factor of n and 159?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 0 + (1 - 0 - -3 - 12).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x. Let i(w) be the second derivative of -w**4\/24 - 7*w**2 + 8*w. Let b(t) be the first derivative of i(t). Determine v(b(z)).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.17901 years in months?\nAnswer: 998.14812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1182, 1\/5, 3\/146?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418000 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 563663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -167 - 135 + k**2 + 466 - 164. Suppose 4*x = -0*h + h + 13, 23 = 4*x - 3*h. Let a(z) = 14 + 40*z**x - 12*z**2 - 16. Determine a(p(j)).\nAnswer: 28*j**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + k)*(-3*k + 8*k + 6*k).\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95\/105 - (-16)\/(-28).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-9))\/((-6)\/9). Suppose -2*r + 5 = -3. Is 22 + -2 + r + a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 (base 9) in base 12?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8184.\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000518204911 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13375 or -13376?\nAnswer: -13376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 17743337 divided by -97\nAnswer: -182921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**3 + k + 2*k**2 + 26*k**4 - 78*k**4 + 28*k**4 + 45 + 153 + 23*k**4 to the form f*k**3 + a*k**2 + p*k**4 + m + c*k and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*z - 152, -w + 204 = 3*w - 2*z. Suppose 5*n - 130 = -5*k, 0 = -2*n + 2*k + k + w. Solve 0 = -4*u + u + 5*l - n, -2*u = -5*l + 24 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22661 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 w be (-220)\/414 - (-132)\/297. What is the third biggest value in -7, w, 4\/31?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2561 + 713. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 5*f**4\/2 - 7*f**3\/3 - f**2 - f + 6. Let j(i) = -3*i**3 + 2*i**2 + i. Let t(q) = 7*j(q) + 2*r(q). Let t(g) = 0. What is g?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*f + 18*f**2 + 148*f - 870*f - 4*f**2.\nAnswer: 14*f**2 - 959*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4056 and 12168?\nAnswer: 12168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/264 and (-21 - -22 - 916\/924)*(1 + 39).\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2643*r**4 - 442*r**2 + r - 2 wrt r?\nAnswer: 63432*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232683 and 1089.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -63*h + 841. Let i be q(13). Solve z + 4 + 2 = x, 0 = x - 5*z - i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7034221 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101033 (base 4) to base 9.\nAnswer: -13667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011813.63 rounded to the nearest 10000?\nAnswer: -2010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.028 + 1081.3.\nAnswer: 1081.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7240067 and 146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 12. What is the highest common factor of 24 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1384)\/30448)\/((-12)\/154).\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -12.7. Let u = -1.3 - w. Let c = 124 + -123. Sort 0.04, c, u.\nAnswer: u, 0.04, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - ((6 + -47 - -78) + 44).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3 + 4 + 5*x - 4 + 8. Let r(k) = 2*k + 5. Determine -3*q(h) + 7*r(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqooccooovovoooq. Give prob of picking 2 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x - 1. Let a be b(3). Suppose -a*m = -m - 24. Let i(s) be the third derivative of s**5\/60 - s**4\/6 - s**3 + 2*s**2. Determine i(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97697767 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3779421391 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 31245104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 2*j**2 - 2*j. Let z(t) = -8746*t**3 + 10639*t**2 + 10*t. Let v(c) = -5*k(c) - z(c). What is the third derivative of v(o) wrt o?\nAnswer: 52506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from {p: 4, n: 1, x: 2, d: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*r + 6597 = -1307*r - 26667 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3064*i - 6133*i + 3062*i. Let r(t) = -t - 2. Let w be r(-15). Let l(b) = w*b - 13*b - 2*b**2. Give l(z(o)).\nAnswer: -98*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7340 - 7291 = 7*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 125713170?\nAnswer: 125713170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 725 = 3*w, -202 = -4*f + 3*w + 1257. Suppose -c = 5*t - 2*c - 599, 3*t = -4*c + f. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -477470, -477467, -477464, -477461?\n\"Answer: 3*i - 477473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - n = -3*o + 3, -2*o = -2*n + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**5 + 255*p**4 - 7629*p**3 + 92733*p**2 - 355680*p - 456300 = 0. What is p?\nAnswer: -1, 13, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 10.9.\nAnswer: -3.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 3 + -4 - (8 + -4). What is the common denominator of (-12)\/40 - (h + 40\/12) and -19\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 + r**2 + 2*r**2 - 3*r**3 + 2*r**3 - 2*r**2 + 2*r**2 + (0*r - 4*r + 2*r)*(-4*r**2 + 4*r**2 - r**2) + r**3 + 0*r**2 + 0*r**2.\nAnswer: 2*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 8:31 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -52*g + 140. Let h be j(2). Solve 20 = h*d - 40*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 3*f = 18*a - 8, f - 10 = -5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/20 - 2\/(-8). Let t = z - -9. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 12. Let i = 8 - m. Which is smaller: i or -7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 463*-0.13\nAnswer: -60.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1233269 to the nearest integer?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**2 + x + 65. Is g(10) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*50.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 319\/(-121)*-11*4\/(-4)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 310 + -2794\/9. Let q = 16 + -22. Let l be ((-2)\/3)\/(q\/(-9)). Is l smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**4 + 4*i**4 - 3*i**4)*(3 + 2 - 2)*(2 - 2 - i) - 4*i**5 + 2*i**5 + 3*i**5.\nAnswer: 4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -11*u + 1. Let o be a(-2). Suppose o*s = 21*s + 90. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78337270*k**3 - 52*k**2 - 2*k - 131668 wrt k?\nAnswer: 470023620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1840, -5\/8, -10.6 in increasing order.\nAnswer: -1840, -10.6, -5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11331 + -1310?\nAnswer: -13141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8\/29, -12\/269, 8?\nAnswer: -12\/269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316753847 to the power of 1\/3, to the nearest integer?\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21598731 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107 - 103. Suppose 5*h - s*b = 28, -4*h + 2*h + 12 = -2*b. Find l such that -2\/17*l**h + 0 + 0*l + 6\/17*l**3 - 4\/17*l**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) 554 (c) 5 (d) 4\/17 (e) -1 (f) -8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 7*y + 6. What is the common denominator of 13\/81 and (y\/(-396))\/((-6)\/192)?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h - 1. Let q = 8 - -4. Let x be q\/(-2)*(-90)\/(-20). Let z be (-4)\/(-18) - (-195)\/x. Let s(f) = -3*f - 1. What is z*b(o) + 5*s(o)?\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2001391282?\nAnswer: 2, 11, 283, 521, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**3 + 39*h**2 + 168*h + 240 = 0.\nAnswer: -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + i - 8. Let n be o(-3). Calculate the lowest common multiple of n\/(-7) + (-1650)\/(-350) and 62.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81636 divided by -2\nAnswer: 40818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 57892 and -127.16.\nAnswer: 57764.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -68\/7 bigger than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2491934532 and 99617.\nAnswer: -2491834915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 992\/465 - (-4)\/(-30). Suppose -5*z + 3*i = -84, -2*i = 2*z + u*i - 18. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/105 and 77\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - 5\/((-10)\/4). Suppose 0 = j + n - 37, -5*j - n + 173 = -a*n. Does 34 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16651 = 582*g - 12111 + 13442 + 11700 for g.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5109526 is divided by 70965.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12009280.8 rounded to the nearest ten thousand?\nAnswer: -12010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22163, 21981, 21685, 21275, 20751, 20113, 19361?\n\"Answer: -57*b**2 - 11*b + 22231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**24)**(1\/5)\/((i\/(i**(-13)\/i))\/(i**(-2\/67)\/i*i)) assuming i is positive.\nAnswer: i**(-3427\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-2\/59))*i\/i**(-2\/23))\/(i**(1\/2))**(-12) assuming i is positive.\nAnswer: i**(9571\/1357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 210890 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114947 (base 10) to base 15.\nAnswer: -240d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2483.2 - -2321. Round d to the nearest integer.\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 4:15 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-2)*(((c**(-4)*c)\/c)\/c)\/c)\/(c**5*c*c\/(c**(-1)*c)*c) assuming c is positive.\nAnswer: c**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 3. Suppose -w*s + 21 - 1 = 0. Let o(q) = -q**2 - 22*q - 26. Let i be o(-20). Solve i = 3*c + s*j, -2 + 18 = 5*c + 3*j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 2\/7, -5, -1, -54, -3, -10\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 221.178 + -221. Let t = w + -0.078. Let s = 1.4 + -1.4. What is the smallest value in t, -5, s, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88599167\/3 or -29533056?\nAnswer: -29533056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(13) + 5*sqrt(13) + sqrt(13) + 4 - 1*sqrt(117))*3)**2.\nAnswer: 288*sqrt(13) + 2018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*s - 13 - 4, 3*s + 2*h - 11 = 0. Suppose -199 = -2*x + j + 484, -j - 1700 = -s*x. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 177 - 57. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -18*(-3)\/((-12)\/(-40)*-3). Which is greater: -61 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 959 is divided by 316?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 f, and 1 t when four letters picked without replacement from {z: 4, f: 2, t: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (28\/(-3))\/((-3)\/(-9) + -1). Is 14 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42 - -2?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 304*l + 11498 + 164 = 42*l for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/5*(6\/(-9) + (-608)\/(-12)). Let w be 4\/3*90\/4. What is the highest common factor of v and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12900 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*u**5\/5 - 38*u**4\/5 + 226*u**3\/5 + 754*u**2\/5 + 358*u\/5 - 28 = 0. What is u?\nAnswer: -7, -2, -1, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 10. Let x be (-15)\/((-15)\/3) - c. Suppose 14 = x*f - 1. Solve -3*b = -2*b + f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + 169 - (-2)\/(-1). Let m = 263 - j. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 9662106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533201653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(2*y + 4*y + 3*y)*(2*y + y - 6*y) + y**2 + 2*y - 2*y.\nAnswer: 28*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -6 (c) -1\/3 (d) -1\/554 (e) -2 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 402?\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 1\/2 (c) 0 (d) -0.05 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 10 = b - 2*b, b - 2*d = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 + s**3 + 0*s**3)*(s + 3*s - 3*s)*((-2 + 1 - 2)*(4 + 2 - 5) + 0 - 3 + 0 + 5 - 2 - 1).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 + 7*o**2 - 5*o. Let d(b) = -b**3 + 3*b**2 - 3*b. Determine -10*d(u) + 6*v(u).\nAnswer: -2*u**3 + 12*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2607 divided by 1479.\nAnswer: -869\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(-2*b**2 - 2*b + 2*b) + (-8 - 3 - 1)*(-3*b + 2*b**2 + 3*b) + 0*b**2 + 0*b**2 + b**2 + 0*b**2 + 41 - 2*b + 3*b**2 - 39.\nAnswer: -24*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (42\/(-6) - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 153*l**2 + 2218*l + 2065.\nAnswer: (l + 1)*(153*l + 2065)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((120\/(-70))\/6)\/((-1)\/7). Solve 3*q = 2*t + 4, -2*q + 10 = 2*t + v*q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7483271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - -1 - -6) + 2. Suppose 0*x - i + 20 = x, 12 = x + z*i. Calculate the remainder when x is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 7*x**2 - 7*x + 22. Let y be n(3). Solve -9*d - 4*d = -y for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6*i - 3. Let k(r) = -r**2 - 7*r + 4. Give -5*k(u) - 6*z(u).\nAnswer: 5*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -832126267*g + 309852387?\nAnswer: -832126267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -5*d**3 + 42090*d**2 - 88452000*d - 532228320 = 0.\nAnswer: -6, 4212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -12 - 12. Find the third derivative of q**3 - 42*q**2 - d*q**4 + 7*q**4 - 5*q**3 wrt q.\nAnswer: 96*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**7\/210 + z**6\/45 - 10*z**3\/3 + 6. Let b(h) be the third derivative of t(h). Find the third derivative of b(j) wrt j.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 116 = -4*z, -13*v + 8*v + 3*z = -129. Suppose -57 + v = -5*k. Suppose k*g - 3*g - 213 = 0. List the prime factors of g.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 0*f - 336. Suppose -f = -v - 2*v. What is the remainder when (-2124)\/(-26) + 536\/1742 is divided by v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 13*d**2 - 9*d + 64. Give p(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102 + 125.8. Let y = u - 23.7999765. What is y rounded to six dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 32*s + 8 = -29*s, -2*d = s - 3. Solve w = -2, 9*p - 4*w + d = 12*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*(2 - (-3)\/(-2)). Suppose p*s + 84 = 4*s. Suppose 113*d + 149*d - 4212 = 28*d. What is the lowest common multiple of d and s?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105749772635291 take away -0.1?\nAnswer: 105749772635291.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j - 5*j**2 - 3 - 8*j - 5 + j**3. Is 16 a factor of k(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -7*h + 70. Let m be o(10). Suppose m = -i + 1 - 2. Let g(v) = v**2 + v + 1. Give g(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3971436 times 4\nAnswer: -15885744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 301362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**2 - c. Let r be i(1). Suppose 0*x - x - 5*b = -12, 36 = r*x - 3*b. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -122, -235, -386, -581, -826, -1127, -1490?\n\"Answer: -r**3 - 13*r**2 - 67*r - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 7 + 1 = b - 5*r + 13 - 2, -3*r - 307 = 158*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1334*s - 28838280 = -1454*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 1\/1) + 20. Let z be ((-8)\/(-20))\/((-3)\/(-1425)). Calculate the greatest common factor of z and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 3 - (-23 - 1). Suppose -4*c - 17 = -k + 23, 5*c - k + 51 = 0. Let x = r + c. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3)*(-38*v - 39*v - 4 + 75*v).\nAnswer: -6*v - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, c: 13}. What is prob of sequence cccd?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49274791?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of ((-1)\/(-4) - (-54)\/(-24)) + 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -161.000001932 + 161. What is w rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 2 + 2 + (4 + 1 - 3)*(-4 + 4 - 2))*(12*k + 14*k + 15*k)*(k - 3*k - 3*k) to d*k**2 + h + c*k and give d.\nAnswer: 1230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167211.\nAnswer: 3, 11, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/3)\/(2\/(-4)). Let n = k + -1. Suppose 0 = n*m - 2 - 4. Solve -1 = -i - m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16*(-8)\/256*2\/(-5)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120 (base 3) in base 12?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142, -861, -2998, -7327, -14622, -25657, -41206, -62043?\nAnswer: -88942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) 1 (c) 69 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324*v**3 - 14254344*v**2 - 72861884*v - 93104000 = 0. What is v?\nAnswer: -23\/9, 44000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 28 and -0.171.\nAnswer: 27.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -32 times 13\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 7 - (1 + 20 - (-213 - -198))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**4\/6 - 5*s**3 + 39*s**2\/2 - s. Let g = 1413 - 1394. Is 56 a factor of q(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 327 + -261. Find the second derivative of 36*y**2 - 196*y**2 - 126*y**2 + 0*y - 2*y + v + 21 wrt y.\nAnswer: -572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -54, -59, -66, -75, -86?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -269 + 286. Solve -j - 11 = -3*i, -4*j = -5*i - j + v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -38*j + 910. Let p be l(24). Let r(o) = -6*o**3 - o**2 + 1. Let d(a) = -25*a**3 - 5*a**2 + a + 4. Calculate p*d(w) + 9*r(w).\nAnswer: -4*w**3 + w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-54)\/8)\/(1\/(-4)). Let m be 17*(-9 - (-90)\/9) + -14. What is the highest common divisor of g and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 855031 to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(1 - 2 - 1)*(-5 + 36 + 7)*(-3*t - 2*t + 2*t - 2*t + 2*t + 2*t - t + 3 - 3 + (0 + 3 - 5)*(2*t - 2 + 2)).\nAnswer: -912*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -336*h**3 - 3*h**2 - 2*h - 6. Let v(u) = 334*u**3 + 2*u**2 + u + 4. Give -2*j(d) - 3*v(d).\nAnswer: -330*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17059 + -14440. Is h smaller than -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25118 + -25122. Let h(n) = -n**3 + 4. Let u = -7 - 7. Let f(y) = -8 - 5 + 2*y**3 + 2*y**3. What is d*f(j) + u*h(j)?\nAnswer: -2*j**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*f = 2*t - 584, 4*t = -3*f + 1742. Suppose 8*q + f = 10*q. What are the prime factors of q?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 630 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 3*f - 4*f - 10*f.\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -10*r**3\/19 - 23387804*r**2\/19 - 56130686*r\/19 - 32742892\/19 = 0.\nAnswer: -2338778, -7\/5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.839 + -0.161. Sort 3, -5, -17, n in decreasing order.\nAnswer: 3, n, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 34*y**2 - 33*y - 30. Determine b(-33).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a day in minutes?\nAnswer: 9216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 29.27. Let s = 0.23 - i. Which is the smallest value? (a) -2\/9 (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 857274 and 14246?\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6 + m**2 - 22*m + 0*m**2 + 15*m.\nAnswer: (m - 6)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 102\/5 + 36\/(-90). Let n be (-2583)\/(-6)*s\/30. Suppose 0 = -k + 5*i + n, 0*k = -2*k - 4*i + 532. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 4*x - 3. Let m be p(5). Suppose 0 - 2 = -m*r. Suppose 5*l - 3*l - 3*l = 0. Sort l, -3, r in decreasing order.\nAnswer: r, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 44. Let b(y) = 3*y**2 + 3*y**2 - 8*y**2 - 4*y**h. Let g(n) = -n. Let r(z) = z**2 + 5*z. Let l(c) = 5*g(c) + r(c). Determine l(b(j)).\nAnswer: 36*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 103.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 19150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 45491, 45493, 45497, 45503, 45511, 45521, 45533?\n\"Answer: k**2 - k + 45491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38\/27 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 2. Let m(l) = 3*l + 4. Let a(b) = 5*g(b) + 2*m(b). Suppose 4*k - 2*k = 10. List the prime factors of a(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z. Let m(g) = -8915699*g**2. Determine p(m(b)).\nAnswer: -26747097*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 89*g + 1. Let h(x) = -133*x - 2. Give -5*h(v) - 8*o(v).\nAnswer: -47*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f - 1. Let k be b(1). Let w = 1 - k. Let i(t) = -1. Let n(s) = s. Let h(q) = -4*i(q) - n(q). Calculate h(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*c**2 - 380 + 380 as l + s*c**2 + u*c and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 12930 = f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 4*d = 120. Let k(n) = 10 - 5*n**3 + 2*n**3 - n - d - 4*n**3. Let o be k(-1). What is the greatest common divisor of 24 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 10:03 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 100235251?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/3500 and 13\/249500.\nAnswer: 1746500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 106407 and -9.9.\nAnswer: -1053429.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -140 - (-204 + 226 + (-45 - 2)).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(0 + 1) - ((21 - (-65 + 41)) + -39).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -157 - -157. Solve k*o = 3*o - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1735?\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135536 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.5915*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d**2 + 30*d + 1. Give n(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-936)\/90)\/(-26))\/(6\/5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/3*x**2 + 4\/3 - 10\/3*x = 0.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**4 + u + 1. Let v(k) = -11*k**5 + 2*k**4 - 5*k + 2. Let h(c) = -2*j(c) + v(c). Find the second derivative of h(b) wrt b.\nAnswer: -220*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*f = 8891, -8*m = -9*m - f - 2224. Let r = -1031 - m. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8836 is divided by 8746?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 605141 times 14?\nAnswer: 8471974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9947 and 20039?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 18, -2\/11, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 0)*(2 - 2 + 3*i) - 7*i + i - 4*i)*(1 - 7 - 1 + (-3 + 0 + 2)*(0 + 5 - 4)).\nAnswer: 104*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.744497 + 0.039.\nAnswer: -0.705497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c**3 + 31617*c**2 - 3*c - 2418235?\nAnswer: 6*c**2 + 63234*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1490 by -518.\nAnswer: -745\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 398025414 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 2:15 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d = 265 - 391 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4911*f**2 + 0*f + 4912*f**2 - 2*f - 3*f**3 - 7 in the form i*f + v*f**3 + l + p*f**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + o + (5*o - 3*o + 0*o)*(-2 + 4 + 0))*(12*o**2 + 47 - 47).\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 11:21 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*d + 22938 - 22766 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 8*w**2.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3979.3 - -3979. Sort 0.4, -1, n, 2\/19, 9 in decreasing order.\nAnswer: 9, 0.4, 2\/19, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p**2 - 2*p. Let k be i(-2). Let y be 188996\/14 - k\/70. What is y rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 12:13 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67676 = -748*s + 3146*s + 1951*s + 419412 for s.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + -17 - -79) + (0 - (-1 - 1 - 2)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -441919.18 rounded to the nearest ten?\nAnswer: -441920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -1043*y**3 + y**2 - 2*y - 1. Let b(v) = -2*v**3 + v**2 - 2*v - 1. Determine b(q) - u(q).\nAnswer: 1041*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 - 0.12. Let p(k) = -17*k - 65. Let q be p(-7). Let i be 126\/q*(1 + (-34)\/42). What is the second smallest value in i, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8683616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4*((3*(sqrt(140) - 2*sqrt(140)) + sqrt(140))\/((sqrt(400)\/(sqrt(10)*-1))\/sqrt(8)))**2 + -1)*-4.\nAnswer: 1796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 1. Let i(z) = z**3 + 12*z**2 - z - 8. Let u be i(-12). What is the nearest to 2\/3 in u, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 3. Solve c - w + 10 = -f*w, -5*w - 20 = c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/19)*s**(-36) assuming s is positive.\nAnswer: s**(-682\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, n: 6, a: 3, j: 1, e: 5}. Give prob of picking 2 n.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9848\/(-1258) + (-1680)\/(-210) + (-2)\/37?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.38 and 12.66661069951.\nAnswer: 12.28661069951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -20608 - 12912. Suppose 4*l = -2*m + s, 3*l - 2*m - 5289 = -254. Is l a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -3, -7, -1176 in descending order.\nAnswer: 33, -3, -7, -1176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + i**2 + 3*i)*(3*i + i - 2*i) + 11*i**3 - 29*i**3 + 6*i**3 + (i - i + i**3)*(3 - 2 + 1) + 0*i**3 - 2*i**3 + 3*i**3.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 542095*c**3 - 1086*c**2 + 543*c - 543. Let y(m) = 3986*m**3 - 8*m**2 + 4*m - 4. Calculate 4*k(u) - 543*y(u).\nAnswer: 3982*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(5))*3.\nAnswer: -12 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16\/39 (b) 5\/29 (c) 2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*m - 587846, 0 = 2*z - 0*z - 8. What is m rounded to the nearest 1000?\nAnswer: 196000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 5 (c) 2 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*t + 10 = 0. Let n = 5 - 18. Let r = t - n. Calculate the remainder when 41 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -6. Solve 2*z + r - j = 0, 5*z = -3*r + 15 - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3306*p**3 - 5665358*p**2 - 3734324*p + 27408 = 0. What is p?\nAnswer: -1713, -2\/3, 4\/551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millennium in decades?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (3 - (4 + -1 + 1)) + -468 + 415\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*n + 27*n + 11*n + 28*n - 28*n**2.\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -495727, -1982223, -4459717, -7928209, -12387699, -17838187, -24279673?\n\"Answer: -495499*q**2 + q - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-9)\/4 - 1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 28379 divided by 10\nAnswer: 28379\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1189 and 3444.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -768 + 793. What is the least common multiple of 24 and w?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 18 = -0*i. Let p(s) = s - 4. Let h be p(2). Let x be h + 0 + 7 + -2. Solve -g = 4, v + x*g = -5 - i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76.97412 - 77. What is r rounded to 3 dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*s**4 + 1328*s**3 - 212*s**2 - 1328*s + 330 = 0. Calculate s.\nAnswer: -1, 15\/59, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5539717, -11079434, -16619151, -22158868, -27698585, -33238302?\nAnswer: -38778019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u**2 - 51*u + 52*u + 0*u**2)*(2*u - u + 0*u)*(-2*u + u - 2*u).\nAnswer: -24*u**4 - 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0391 or 1.85?\nAnswer: -0.0391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 539.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3071685 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 85*y - 87*y - 14 = 0, 16 = -3*q + 4*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*l**2 - 3*l**3 - 2530277*l + 2530277*l.\nAnswer: -3*l**3 + 124*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + d = 24, 0 = -5*x + 9*d - 8*d + 90. Calculate the lowest common multiple of 11 and x.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*k + 8, 4*k - 3*g = 5*k - 4. Suppose u = 2*l - 1438, 5*l + u = -k*u + 3595. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-9))\/((-3)\/(-558)). Let o = u + -59. Suppose 3*q - 3*j - 18 = 0, 2*j - 42 = -5*q + 3*j. Solve o*c + q = 6*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18592.5 nanometers to micrometers.\nAnswer: 18.5925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 = -2*o. Suppose 7 + o = -2*v. Let y be ((-4)\/(-6))\/(1\/(-3)). Sort v, y, 4 in descending order.\nAnswer: 4, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*a**2*g*p + 24310844*a**2*g - 2*a**2 + 2*a*g*p + 2*a*g - 86*a + 4*g*p - g - 16*p + 1 wrt a?\nAnswer: 14*g*p + 48621688*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + p - 1 + (-4*p - 3*p + 5*p)*(-1 - 1 + 1) - 131 + 3*p + 62 + 56 to w*p + l and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-930)\/6*(-2)\/2. Let b = v - 140. Solve 4*r - 3 = -b for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**2 - 3*p**2 + 0*p**2 + (3*p - 3*p - 2*p)*(-5 + 2 + 1)*(1 + 268 - 24)*(1 - 4*p - 1).\nAnswer: -3918*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -21. Sort d, -10, -3 in ascending order.\nAnswer: -10, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1620)\/126)\/15)\/(48\/42)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 33283720 and -848?\nAnswer: 33284568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101000111011 + 11?\nAnswer: -101101000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -332, 0.05, -50, 5, 0.1 in increasing order.\nAnswer: -332, -50, 0, 0.05, 0.1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6768*a**3 + 1 + 6433*a**3 - 3 - 423*a**2 + 2 wrt a?\nAnswer: -2010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38038290, 76076579, 114114868, 152153157, 190191446?\nAnswer: 228229735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/4 and -16\/77.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -838, 1\/3 in decreasing order.\nAnswer: 1, 1\/3, -1, -838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -2) + (3 + 13 + -11 - 9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 17*p**2 - 26*p - 64. What is i(15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2 = 2*r. Which is the nearest to 1? (a) -1 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from trcvtib.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 35 = -c. Let u = -589 - -599. Calculate the remainder when c is divided by ((-96)\/(-15) - -2) + (-4)\/u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 12:07 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/14, 8, 0 in ascending order.\nAnswer: -3\/14, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99\/4*o - 19\/4*o**2 + 1\/4*o**3 - 81\/4 = 0. What is o?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1034, -4012, -8974, -15920, -24850?\n\"Answer: -992*h**2 - 2*h - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*g - 10*g - 1404 = 37*g. Calculate the remainder when g is divided by 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 6*f = 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6*o**2 + 2*o + 2. Let y(j) = -j**2 + j - 1. Give h(p) - 3*y(p).\nAnswer: -3*p**2 - p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 871 + -530. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -224 + 122244?\nAnswer: 122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16077 and 299.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((4 - -4)\/(-193 + 171))?\nAnswer: -55\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10001011010000 (base 2) to base 5\nAnswer: -241122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21536361 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -190 divided by -95\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 133194877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 15, 0*j + 5 = -3*s - j. Suppose -2*i + 2*p - 2 = 8, 0 = -4*i - 2*p - 8. Let k = 2 + i. Is k at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 16*k + 240 = 0. Let i be (2\/(-4))\/(k\/192). Suppose 0 = 3*r - 4*m - 18, -i - 1 = -2*r + 5*m. What is the least common multiple of r and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u = 8*u - 228 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -18*y - 184. Let g be l(-11). List the prime factors of -3 + g\/(-49) + (-1054)\/(-14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012000331 to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from {r: 7, l: 1, n: 12}?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-33) - 167\/(-11). Let w = 15 - g. Suppose -3*q = -w*q - 84. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 304304 and 208?\nAnswer: 304304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00550168333 to 7 dps.\nAnswer: 0.0055017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 626*n - 835*n + 10659 = 0 for n.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 301337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgguwwgg. Give prob of picking 2 w.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(-2) + 2\/4. Suppose -2*f - u = -6, -2*f + u + 3*u - g = 0. Let v be 82\/7 + f\/7. Calculate the greatest common divisor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.89 - -0.11. Let r = o - -6. Let m = r - 5. Which is the closest to -0.1? (a) m (b) 0.6 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 5255.\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 5*k + 12. What is the remainder when 69 is divided by j(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.2, 91, -0.5, 34, -4 in decreasing order.\nAnswer: 91, 34, 0.2, 0, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -711 + 663 + 22 + -6 + 7?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280374?\nAnswer: 2, 3, 83, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*q + 24, 5*j - 2*q = 8 + 1. Let z(y) = 5 - y**j - 1 - 5. Let k(v) = 5*v**3 - v**2 + 5. What is k(a) + 4*z(a)?\nAnswer: a**3 - a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-134)\/((-6)\/(-7 + 175)) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.891 + 0.109. Let x = 71.858 - 0.558. Let r = x + -71. What is the nearest to 0 in r, 20, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 871 = -2428*t - 1557 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 2 + 9*j**3 - j**2 - 8*j**3 - j to the form a*j + s*j**2 + v + o*j**3 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**3 + i**2 + 548*i - 2928. What is w(5)?\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 2*y - 72. Give c(0).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5558, 22484, 50694, 90188, 140966?\nAnswer: 203028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 4) in base 6?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from etjjptttsjtp. What is prob of sequence jse?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**2*g**3*h + 5*b**2*g**3 + 2*b**2*h + b*g**3*h + 40*b*g**2 - 2*b*h + g**3*h wrt b?\nAnswer: -6*g**3*h + 10*g**3 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 13*y + 3. Let n(s) be the third derivative of 8*s**4\/3 + 7*s**3\/3 - 88*s**2. What is 14*j(p) - 3*n(p)?\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39554 is divided by 13041?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = r + 11. Suppose -6 - 4 = 2*t, r = -4*d - 4*t - 376. Let m = 68 - d. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**8\/84 + 4*q**7\/35 - 2*q**6\/5 + 8*q**5\/15 - 2*q**2 - 1. Let h(s) be the second derivative of w(s). Factor h(o).\nAnswer: -4*o**2*(o - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**6\/120 - c**5\/10 - 7*c**4\/24 + 139*c**2. Solve t(n) = 0 for n.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -501 and 1033900.88.\nAnswer: 1033399.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 530.8 times 12?\nAnswer: 6369.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/((-76160)\/3213))\/(78\/32)?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 6*(sqrt(171)*-2 - sqrt(171)) - sqrt(171))\/(sqrt(9) - sqrt(99)\/(2*sqrt(11) + sqrt(11))).\nAnswer: -27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -3\/2, -117\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.5 - 5.8. Let l = k - -3. Which is the biggest value? (a) -2 (b) -2\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833)*3 - sqrt(833))**2 + 4)*5.\nAnswer: 16680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i - 32 - 38 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -17. What is the closest to 0.1 in 4\/9, 4, k?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1329875 + -0.133. What is t rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + (32 - (22 + -18) - 19)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0, -2.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3.7. Let v = o - 0.2. Let p = v - -4.9. Which is the second biggest value? (a) 0.2 (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -930204252 divided by 17447?\nAnswer: -53316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (105*c - 2756 + 2756)*(-5 - 20 + 12 - 5 - 11) to a*c + b and give a.\nAnswer: -3045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 106*j + 4. Let p(c) = -52*c - 2. Give 11*p(d) + 6*q(d).\nAnswer: 64*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/6*-6*2. Let i be (-3)\/(-6) - n\/4. Suppose 0 = -3*f + 3*p + p + 55, -i*f + 36 = -2*p. Calculate the greatest common factor of f and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c + 10*c - 2 - 9 + c**3 + 10*c**2. Let j be g(-9). What is the remainder when (-2)\/j + 116\/14 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1063983, 2127967, 3191951, 4255935, 5319919?\nAnswer: 6383903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*b - 8, -2*b = -0*b - 2*n + 8. Let u(k) = 3*k + 1. Let w(h) = -12*h - 4. What is b*w(g) - 18*u(g)?\nAnswer: -6*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -239*g**2 + 143*g. Let c(b) = -119*b**2 + 71*b. Let p(v) = -5*c(v) + 3*m(v). Find the second derivative of p(f) wrt f.\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5427 - 4545. Calculate the lowest common multiple of 1176 and w.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 471.03985 - 469.04. Let f = 2 - b. Round f to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83472 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61732601.\nAnswer: 7, 1049, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17200907 is divided by 384?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 5*c.\nAnswer: 5*c*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -31*g + 656. Let l be x(18). Solve l*t - 15 = 103*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25865 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (7\/42)\/((-16)\/(-992))*3\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 2:38 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**14\/b)\/b**(17\/3) assuming b is positive.\nAnswer: b**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 3)*(-2*d + 4*d - 3*d) + (4*d + 7*d - 2*d)*(-1 + 3 - 1) as u*d + s and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 14*r - 34 = 11*r, -25 = 3*c - 2*r. Let n(g) = -g - 27. Let v(t) = -t - 18. What is c*v(p) + 5*n(p)?\nAnswer: 2*p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 12:29 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21517*t = -8154*t - 14145 - 319683 - 320959 for t.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*k = -64*k - 903 - 615 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 14*r**2 - 11*r + 34. Let x be b(-13). Calculate the highest common divisor of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -480520 divided by 410.\nAnswer: -1172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 1 - (10 - (-2 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of (-366)\/12*10\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*v + 182 = -97*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64 + 3*x**3 - 2*x**4 - 4422812*x + 4422810*x + 40 to the form m*x**2 + k*x + s*x**4 + a*x**3 + g and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from czzqcbafq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 752*r + 4087. What is m(-5)?\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1990, 4040, 6128, 8260, 10442, 12680, 14980?\n\"Answer: z**3 + 13*z**2 + 2004*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(((v\/v**(3\/4))\/v)\/v)))\/v*v)**(2\/55) assuming v is positive.\nAnswer: v**(-7\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2228*l + l**2 + 58 + 2228*l - l**3 wrt l.\nAnswer: -3*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611450 rounded to the nearest 10000?\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*l - p, -2*p = -0*l - 3*l - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13401120 (base 7) to base 13.\nAnswer: 34738b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25*0.0123915\nAnswer: -0.3097875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 87, -3, -1, 157, 1, 4 in ascending order.\nAnswer: -32, -3, -1, 1, 4, 87, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-1\/2)*i))**7*i**(-2\/13)*i**(4\/5) assuming i is positive.\nAnswer: i**(539\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*t**2*z**2 + 25*t**2 - 39*t*z**3 - 18*z + 1 wrt z.\nAnswer: 72*t**2 - 234*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/5 + 44604*x**2\/5 + 497156109*x\/5 - 995204498.\nAnswer: (x - 10)*(x + 22307)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**3\/3 - 7*d**2\/2 - 3*d + 3. Does 4 divide y(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -56 (b) 5 (c) 1.3 (d) 2\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 9*k**2 + 27*k + 27. Let n be r(7). Let d = n - 113. Solve -b + d = 3*o - 9, -3*b = -3*o + 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 8*r + 180. Let f be x(-21). Solve -3*z - f = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*w = -936, 4*z + 5*w = 110 - 1046. Let i be (1622\/3)\/(6\/z). Let a = -11286 - i. What is a rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f**3 + 6*f**2 + 3*f. Suppose -3*i + 8*i + 25 = 0. Let b(d) = -6*d**3 - 5*d**2 - 3*d. Calculate i*p(n) - 6*b(n).\nAnswer: n**3 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 23*n - 27. Let t(b) = 23*b - 17. Give -4*a(u) + 6*t(u).\nAnswer: 46*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2263113\/28 + 80877. Let s be ((-264)\/1 + -4)\/(-1*7). Let r = s - m. What is the common denominator of 19\/7 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -21 + (-3 - -11) - (-57 + 2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxhshrz. What is prob of sequence szrh?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 4*x)*(-5 + 1 + 5)*(-717 + 717 - 63*x).\nAnswer: 252*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4330314795?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -6415787\nAnswer: 6\/6415787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from klgglylll?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 84 - 68 = 0. Let p(c) = -4*c**3 - 2*c + 3. Give p(g).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 1622306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-1)*-1)\/((-1359)\/31710))\/((-6)\/3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 8:21 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 f when two letters picked without replacement from {b: 3, f: 1, g: 1, v: 1, e: 6, c: 6}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -284*i + 284*i + 13*i**2. Suppose 0 = 3*d - 1 - 5. Let c(x) = -d*x**2 + 0 + 1 - 1. Calculate v(c(m)).\nAnswer: 52*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 5*o**2 + 9*o - 3. Let m be k(6). Suppose -3*t + q = -5, -2*t + t - m = 3*q. Solve 0 = -3*a - 2*r - t*r + 23, 0 = -a + r + 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, b: 1, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -140640 rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3 = -3*q. Suppose 2*v = 2*t - 1 + 47, -2 = -2*t. Calculate the remainder when v is divided by 13\/(q\/(-1 - -2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -1.9. Let c = 1.93 + 0.07. Sort m, -3, c in decreasing order.\nAnswer: c, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(2299) - sqrt(2299))**2 - (-2 + sqrt(2299) + 1)**2.\nAnswer: 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18785.\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 229266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 207*p**3 + 11100*p**2 + 146691*p - 56862 = 0.\nAnswer: -27, 26\/69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + -3. Let h be ((-37)\/3)\/(3\/f). Suppose h = 2*o - 1. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -54 + 52 - 8*x**2 + 2*x**3 + 0*x + 3*x + 3*x**2. What is p(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6 + -1535.10793?\nAnswer: -1539.70793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/8589095 and 149\/257672850.\nAnswer: 257672850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -11 - 1, -3*n = 2*h - 4383. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1729100 rounded to the nearest 10000?\nAnswer: 1730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9216 and -5088?\nAnswer: 46891008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20 and -18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 44719 divided by 6?\nAnswer: 44719\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 50384572 a multiple of 1270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times 0.5569?\nAnswer: -0.022276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8170095 is divided by 2042521.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 3)*(-r + 4*r**4 + r**4 - r).\nAnswer: -20*r**4 + 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -132 + 123.45. Let t = k - -6. What is t rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 9 + 65. Let r(i) = -i**3 - 2*i**2 - 9*i - 8. Let y be r(-6). Let f be (-8)\/14 - y\/w. What is the greatest common factor of 91 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1277 - 327 - 39 = 135*c + 112 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8\/2007?\nAnswer: -8\/2007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 2. Let y(z) = -84*z + 1753. Let h be y(21). Let g(v) = -4*v - 6. Determine h*m(b) + 4*g(b).\nAnswer: -5*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 + -5.7. Let h = f - -5.06. Let o = h + 0.14. Sort -0.1, -2\/5, o.\nAnswer: -2\/5, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 - 62926*q**2.\nAnswer: 2*q**2*(q - 31463)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/((s\/s**(-2\/9)*s)\/s)*s)**(20\/3))**(1\/15) assuming s is positive.\nAnswer: s**(64\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*y - 17032, -4*y = -5*y + 3*l + 4264. Are 4255 and y equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35946851 to the power of 1\/2, to the nearest integer?\nAnswer: 5996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -u + 7*v - 23, 4*v - 14 = 3*u. Sort u, -2\/9, -1.\nAnswer: -1, -2\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, 1, 3 in descending order.\nAnswer: 94, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40268807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 - 47*x - 20)*(2*x + 6*x + 8*x) as j + o*x**2 + b*x and give o.\nAnswer: -752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 936767524 and 374?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + 5. Calculate the common denominator of -3 - 25*1\/(-7) and (12 + -3)*k\/(-25).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6832\/(-84)*(-177)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52766 divided by -12?\nAnswer: -26383\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 9:48 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14996748 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2 + 11*w - 14 + 3. Let o = -9 - -22. Let b(y) = 5*y - 6. Give o*b(r) - 6*z(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-63)\/7*(4\/36)\/((-8)\/12). Find l such that -s*l - 9\/2 - 1\/8*l**2 = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 99261*i - 17469943. Give b(176).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17597, -35381, -53357, -71525?\n\"Answer: -96*c**2 - 17496*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 5 (c) 5\/3 (d) -0.3 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 2*h - 1. Give y(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - -2) + 356 + -359.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*p - 158157 + 152377 = 0 for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1569*l**2 + 99*l - 66. Let y(n) = -98*n**2 - 6*n + 4. Let s(f) = 2*t(f) + 33*y(f). Let k(c) = -3*c**2. Calculate k(s(i)).\nAnswer: -27648*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -553*r**2 + 28*r - 28669 wrt r?\nAnswer: -1106*r + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74327 is divided by 1326?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125354 and 512134?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11288 is divided by 159.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 261963 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*o = 190*o + 102. Let g(w) = w**3 + 8*w**2 - 3*w - 2. Let m be g(-8). Sort o, m, -1.\nAnswer: o, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4*l - 1038. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d6 (base 14) in base 3?\nAnswer: -20222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-4\/3)\/c)\/(c**(1\/3)*c))\/((c**7\/c*c)\/c*c**(-3)\/c))\/(c**(-1)*c**(1\/21))**(-6\/23) assuming c is positive.\nAnswer: c**(-2857\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(40)\/sqrt(8)) + (sqrt(98)*-3 + sqrt(2))**2 - (2 + (sqrt(162)*-1)**2*2).\nAnswer: sqrt(2) + 474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -68775, 9, 7, 1, -2 in decreasing order.\nAnswer: 9, 7, 1, 0, -2, -5, -68775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 0*c - 16\/3*c**3 - 11 + 0*c**4 + 0*c**2 - 1\/40*c**5. Let n(w) be the third derivative of a(w). Give n(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -s - 12. Suppose -28 = -4*i + p - 10, 2*p + 20 = 4*i. Let v be (-6 + 3)*(-14)\/6. Solve -s*t - v = -i*k, -3*t - 7 = 2*k + 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5794, -6448, -7102, -7756, -8410, -9064?\nAnswer: -9718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7*m - 2. Let d(i) = 15*i + 3. Give -6*d(o) - 13*u(o).\nAnswer: o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4)*o)**(-23))**(-1\/10) assuming o is positive.\nAnswer: o**(-69\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 1)*(-x - 2*x + 2*x - 3*x + 0*x + 4*x + (4 - 5 + 0)*(-1 + 2*x + 1) + 398 + 77*x - 398) + 6*x + 6*x + 7*x to r*x + d and give r.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14060.5l to millilitres.\nAnswer: 14060500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -153 - -132. Suppose -6*s + 1 = -17. Which is the biggest value? (a) s (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*h - 8. Let i(q) = q**3 + 11*q**2 + 10*q + 2. Let v be i(h). Is v less than or equal to 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -v + 84. Let x = -16 - v. 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: How many minutes are there between 12:33 PM and 3:23 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**2 - 1. Suppose -10*i = -7*i - 7*f - 3, -4 = -4*i + 3*f. What is h(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155640 and 12840?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 349, -2, -5, 5, 2, 3 in decreasing order.\nAnswer: 349, 5, 3, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33939 is divided by 1968.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -292 + 294. Let v(t) = 128*t**3 - 8*t + 12. What is the tens digit of v(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -8 - 8. Let j = u + 57. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/10661 and 67\/22845.\nAnswer: 159915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -155 - -160. Solve 2*g + 4*c = -10, 3*g + 0*g + 2*c = q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 503190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 - -0.5. Let d = 18\/7 - 43\/14. Which is the closest to -2\/5? (a) u (b) 0.2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*w - 11555 - 10666. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*l + 15. Let y = l - -23. What is the smallest common multiple of y and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -279045.\nAnswer: 4\/279045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -5*u**9\/84 - 12*u**5 - 3*u**2 - 122*u. Find the third derivative of o(m) wrt m.\nAnswer: -3600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 1:02 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3027887?\nAnswer: 17, 277, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 + 56. Let a(n) = -10*n + 40. Let o be a(m). Is o > -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1065885 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 13 = -5*c, 3*d - 9*c = -14*c - 12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 12 = -4*l, -5*i - 5*l - 13 = -3*i. Let j(f) be the first derivative of 1\/3*f**3 + 53 + 2*f**2 - 4*f. Calculate j(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -171, -229, -269, -291?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 - 1144*v + 46358. Let y be x(38). Let n = -355\/1298 + 9\/22. Is y bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 11. Let t be 60\/(-40) - (-38)\/4. Let g be s(t). What is the units digit of 8\/(35\/(-15) + g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1008) + sqrt(1008)*3) - (-5*(sqrt(1008) + -2))**2.\nAnswer: -25300 + 1440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 195 = 5*p, 10*p - 200 = 5*p - 4*b. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 1 - 23. Let i(t) = -21 - 10 + t**3 + 13*t**2 - d*t + 12. Calculate the remainder when i(-13) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -29237.\nAnswer: -3\/29237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 67492?\nAnswer: 337460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*v**2 - 42*v**2 + 30*v**2)*(-10*v - 12*v - v).\nAnswer: 1035*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1350*m**2 - 410*m + 3.\nAnswer: 2700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5233476257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -26545636 (base 7) in base 15?\nAnswer: -3357da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 352 - 352. Solve -5*z - 1 = -3*z - a, 4*z + a + 17 = f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4. Let a(b) = -b - 3. Let x(y) = 2*y**3 - 7*y**2 - y + 1. Let l be x(3). Let n = 8 + l. Determine n*u(r) - 4*a(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-5 - -8 - 5) - (-2 + 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 3*h + 45. Let z(v) = 7*v + 121. Let q(m) = -3*m - 61. Let a(f) = h*q(f) - 4*z(f). Is a(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3205113 + 3*i**2 + 3205107 - 6410218.\nAnswer: 3*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 10838317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -3)\/(4\/8). Let w = 3291 + 354. Let k(t) = 3645*t - 5 - 3*t**2 - w*t. Let x(a) = -a**2 - 1. Calculate p*x(b) - k(b).\nAnswer: -b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 195178609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 183283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 483043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -2*a**3\/3 - 2. Let w(b) = -3*b. Let s(m) = -m**2 + 2*m. Let i(y) = -3*s(y) - 2*w(y). Give i(h(d)).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 139, 2, 5, 1, 4, -3.\nAnswer: -3, -1, 1, 2, 4, 5, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4*x**3 - 4*x**3 + 189*x - 48*x**2 - 221*x - 2*x**5 + 8*x**4 + 4*x**4 + 6*x**3 = 0?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1284950, -4 in decreasing order.\nAnswer: 1, -4, -1284950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, m: 4, q: 1, f: 10}. What is prob of picking 1 f, 1 m, and 1 h?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or 7913983?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 41 - 61. Let m = z + 38. Calculate the lowest common multiple of 14 and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -231862 at most 1539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 9*w - 114 = 0. Let v = -32 - w. Let x = 117 - v. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/11 in 4, -59, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.025? (a) -1\/2 (b) 1 (c) 2\/3 (d) 5 (e) -3751\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9712, -9876, -10038, -10198?\n\"Answer: s**2 - 167*s - 9546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2919, -22867, -76647, -181059, -352903?\n\"Answer: -2800*o**3 - 116*o**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173.784kg in nanograms?\nAnswer: 1173784000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 3*q + 2*b, -180*q + 89*q + 87*q = -b + 82 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/2*(-1)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -17 + 13 + 18*h - 11. Determine y(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(252\/(-48))*3\/5952*16.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152 (base 11) to base 8.\nAnswer: -262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v**2 - 18*v - 20. Let x(i) = 6*i**2 + 18*i + 19. Let c(q) = -5*d(q) - 6*x(q). Let s be c(-17). Solve r + r = -4*h + 2, s*r + 11 = h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15187633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1088 - 1084. Suppose 0*m + 5 = 2*m + g, -6 = -3*m - 2*g. What is the highest common divisor of o and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.0597 - 0.0597. Sort -5, 5\/2, t.\nAnswer: -5, 5\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 11:58 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 307, 252, 123, -80?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -297 - -145. Let i = f - -180.7. Round i to zero dps.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2718 - -2513)\/(-1 - 4).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 873491.8 millennia in centuries?\nAnswer: 8734918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626683615?\nAnswer: 5, 37, 83, 40813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + 2*u**3 - 3*u**3)*(-3 + u**2 + 3)*(2 - 1 - 7).\nAnswer: 6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1247 and 405169005.\nAnswer: 1247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1\/7 (b) -5 (c) -2\/11 (d) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amaa when four letters picked without replacement from {m: 2, a: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 7:49 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 16 = -3*o, o = -2*g - 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 18 = -5*y, o + 4 = -2*y - 5. Let s(v) = v + 9. Let a be s(o). Suppose -2*g + 5 + 6 = 3*x, 5*x - 23 = -g. Solve r = -4*i, -r + i = -a*r - x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.48 + 2.78. Let p = t + -2. Let w be 4\/6 + 1\/(-15). Sort w, -4, p.\nAnswer: -4, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/4554?\nAnswer: -1\/4554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 19781, -0.2, 1, 57?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + 21 = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 11*r**2 + 10*r. Let t be j(10). List the prime factors of (-2 - t)\/(2\/(-29)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3 = -z. Suppose i = -3*y - 6 - z, y - 13 = -3*i. What is the remainder when i is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24384692 divided by -46\nAnswer: -530102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/(-2))\/1*58\/203. Let z(f) = -f. Let o(k) = 6*k - 7. Let t(y) = -o(y) + z(y). Let m(l) = l - 1. What is n*t(a) + 5*m(a)?\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19715701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 24*g + 12 = 0. Suppose -s + 0*s - 2*r + 20 = 0, g*r - 60 = -3*s. Suppose -112 + s = -p. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2631 - 1975. What is the greatest common factor of d and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/18 and 49\/107023212.\nAnswer: 107023212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*h + 2*i, -3*i = 4*h - 4*i - 17. Let r(w) be the second derivative of 0 + 4\/7*w**2 - 1\/70*w**5 - w - 1\/14*w**4 + 0*w**h. Factor r(o).\nAnswer: -2*(o - 1)*(o + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7, -2\/11, -0.5, -12, -4, -15?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/16 bigger than 6.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3636 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 - 204*r**2 + 1648*r - 9920\/3.\nAnswer: -(r - 4)**2*(r + 620)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 101.5? (a) 0.5 (b) 3\/8 (c) -4 (d) 2 (e) 4 (f) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 599*f + h + 79 = 602*f, h - 2 = 0. Calculate the greatest common factor of 747 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**7\/14 - j**6\/20 - j**5\/4 + j**4\/4 - j**2. Find r, given that f(r) = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5325.5 and 38.3?\nAnswer: 5287.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88837?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 1, u: 1, w: 1, c: 1}. What is prob of picking 1 w and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -3. What is the remainder when d is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10846553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 1712 = -5*x, -x + 2*m + 171 = -169. Calculate the highest common factor of 301 and x.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v - 15 = -5*i + 21*v, 4*v = -i + 12. Solve i = -3*y - 10 - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(5) + -4 + 1 - (sqrt(540)\/sqrt(12) - (sqrt(5) - (sqrt(5) + 1)*-5)))**2.\nAnswer: 16*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 66 (b) -1\/3 (c) 0.4 (d) -2\/25 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s - 11*s - 150 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*o + 1 + 1 + 22*o)*((3 - 3 + 2*o)*(2 + o**2 - 2) + 5*o - 5*o - o**3 - 2*o**3 + 3*o**3 - 4*o**3) to i*o**2 + w + r*o**3 + m*o**4 + f*o and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -811 times -8590\nAnswer: 6966490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2455 <= -20\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 - 12 + 12 + (3*g - 1 + 2 - g)*(2*g + 1 - 1).\nAnswer: g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 657 and 2602143?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 216682329 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 968 and 80?\nAnswer: 9680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*b - 36 = -57*b. Solve -4*i + b = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -2, -1, 0, 1, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttdedkek. What is prob of sequence td?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20222, 40439, 60654, 80867, 101078, 121287, 141494?\n\"Answer: -j**2 + 20220*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-2) - (2 - -3). Let m be ((-3)\/6)\/((-2)\/(-8)). Which is smaller: m or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 755551 to the nearest integer?\nAnswer: 869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*x**2 + 69*x - 653*x - 7*x to the form j + o*x**2 + h*x and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*6*(-4)\/(-3). Let f(p) = 14*p**2 - 5*p + 14. Let g(m) = -5*m**2 + 2*m - 5. Suppose 39 = -127*y + 113*y - 3. Calculate v*g(r) + y*f(r).\nAnswer: -2*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 - o. Let p(j) = -j**2. Let f(w) = -4*d(w) - 7*p(w). Let l(n) = 11*n**2 - 9*n. Let y(v) = -9*f(v) - 4*l(v). Let z(t) = t. Give z(y(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30745 > 30746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 11 = -5*r + 1, 0 = -5*r + 3*y - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {s: 4, g: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 25*f**3 - 3*f**2 - 3*f - 3. Let b(x) = 1474*x**3 - 176*x**2 - 176*x - 176. Give -3*b(z) + 176*l(z).\nAnswer: -22*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125433 is divided by 1072?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l - 14845 + 1069 = 0. Calculate the smallest common multiple of 1640 and l.\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/15 - -1\/15. Let t = 87 - 84. Sort -5, t, v in descending order.\nAnswer: t, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*j = -3*n - 199*j - 1, -2*n + 23 = -23*j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 114342315\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9029, -8960, -8891, -8822, -8753, -8684?\n\"Answer: 69*v - 9098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 0*l**2 + 0*l + 1\/4*l**4 - 2\/3*l**3 + 2. What is the third derivative of m(x) wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, z: 2, p: 3, i: 1, e: 1}. What is prob of sequence in?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1167.66687 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 77967 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14354918 divided by 755522\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*q - 100*q - 145 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4089669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 17 = -2*g + 5*h, 8 = -g - 4*h. Let p(a) = 64*a + 2. Let l be p(1). Suppose -2*k - l = -5*k. Solve g*o = 2*w + k, 2 = -2*w - o - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/5)\/(1\/(-20)). Suppose -a + y = a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 4, 89, 0 in descending order.\nAnswer: 89, 4, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = r, 2*c = -221*r + 218*r + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11336220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 135.92 times -47.226\nAnswer: -6418.95792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2049 - 2042. Let v = 8 - 13. Let y = 9 + v. Solve 0 = -y*d + i*d - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -3187450.\nAnswer: -1\/3187450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 (base 9) in base 13?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -590741 at least -590740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*s + 28, 0 = 5*k + 3*s - 2*s - 35. Sort 5, 4, k in increasing order.\nAnswer: 4, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45144 and 3960?\nAnswer: 225720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -81 * 91.6.\nAnswer: -7419.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1198*i + 37 - 116472 - 28530 = -3601 for i.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2062 + -117853?\nAnswer: -115781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7116, -7159, -7266, -7467, -7792?\nAnswer: -8271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.17481 + -59.17081. Let j = -59 - o. Let q = 0.0039835 + j. What is q rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 7*o = 20. Solve 2*a = -5*u + 3, -5*a + o*u = u + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 32*i + 2303715 = -28*i, 3 = -i. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**4 - 66*q**3 - 1145*q**2 - 1848*q + 3060 = 0?\nAnswer: -34, -30, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o. Let r(y) = -19*y**3 + y. Let x(l) = -r(l) + u(l). Find the second derivative of x(h) wrt h.\nAnswer: 114*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 709604?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f. Suppose -5 = 22*p - 27*p. Let n(l) = 3*l. Let z(k) = p*n(k) - 4*b(k). Determine z(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -64*w - 207. Give i(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqdq when four letters picked without replacement from {q: 3, g: 3, r: 7, d: 1, s: 1, y: 3}.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 2, 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - x + 2. Let g(m) = 2*m - 27. Let y be g(14). Let i be o(y). Suppose 0 = 2*w - i*w - 28. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 71855 = 3*d + 5*q, 3*q = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/15579024 and -151\/11684268?\nAnswer: 46737072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 155.7 + -161. Is -4 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47661*n - 5395 = 47596*n for n.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 628 + -2a?\nAnswer: 5cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-10 + (15 - 13))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 8:52 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -515, -591, -667, -743?\nAnswer: -819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35910 = 8*f - 27*f. Let a be ((-6)\/(-33))\/1 - f\/1463. Factor a*z - 2\/19 - 98\/19*z**2.\nAnswer: -2*(7*z - 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 75*g - 1. Let n be i(1). Let v = n - 50. Calculate the remainder when 69 is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -15, 1, -1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -45*a + 2*a + 11*a + 34*a - 18*a. Let i be -1*2\/(-1*2). What is h(i)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/((-1980)\/(-210))*12\/(-21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 6:06 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31104 and 17280.\nAnswer: 155520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 2485981773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -48. Which is greater: -9 or z?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 987967.\nAnswer: 987966.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-156))\/(10\/15).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -3. What is the second derivative of -21*x + 72*x**4 - 46*x**4 - 52*x**g wrt x?\nAnswer: -312*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -4. Let b = c + -1. Let n = 0.1 + 0.3. What is the second biggest value in 0.5, b, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/18*(-36)\/(-270))\/(35\/135).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124780 is divided by 375.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -12. Suppose u*o + 24 = -2*o. Let x = o - 0. Which is smaller: x or -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 189\/(-308) - (-28)\/77. What is the biggest value in -0.5, -0.1, n, -0.17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3 + 2264*l**2 + 6778*l + 4516 = 0. What is l?\nAnswer: -1129, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -341940, -250, -2\/11?\nAnswer: -250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(0 - -1) + 15. Let b(h) = -h**3 + 10*h**2 + 10*h + 10. Let d be b(k). Let n = 29 - d. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**2 - 12*o + 11. Let z be u(9). Let g = z + 590. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) -0.5 (c) 0 (d) 50.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 22*c**2 - 20*c + 402. What is n(22)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78428631 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 4:07 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6453 - -10589. Suppose -i + r = 10*i. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-200)\/(-30) - (-5 + 11 + 0).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113965\/16 + 7125. Let i be (742\/10)\/(40\/(-150)). Let b = i - -291. Find the common denominator of b and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7392)\/3080)\/(96\/100 - 2).\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + p**2 - 2*p. Let s be k(3). Suppose 2*h + 4*z + 4 = -6, 12 = 3*h - 3*z. Let b be (-1)\/(-2*h\/30). What is the highest common divisor of b and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 2:18 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 10*a**3 + 41*a**2 + 92*a + 24. Determine p(-4).\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (2 - -1)) + (-7771 - -7759)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 + 2*k**2 + 2*k**2 + (2 - 2 + k)*(-3*k - k + 6*k) + k - 2*k**2 - k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 592, 418, 140, -242, -728?\nAnswer: -1318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-4\/3))\/(l\/(l*l**(-3)*l*l)))\/(l*l**(1\/4))**(2\/83) assuming l is positive.\nAnswer: l**(-679\/498)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -18.9999989. What is p rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 9\/5 (b) 1\/6 (c) 0 (d) 0.3 (e) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -32 + (-3 - -58).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-20)*45 - 6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.169 - 22.531. Let r = -19.7 - i. Let z = -8 + 7.7. Sort z, -1\/4, r.\nAnswer: z, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.262 + 259.64\nAnswer: 260.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/296*(-615)\/((-24600)\/(-160))?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 29*x**4\/2 + 10352*x**3\/3 - 21791*x**2\/6 - 62134*x\/3 + 478 = 0.\nAnswer: -239, -2, 2\/87, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62894.\nAnswer: 2, 13, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26\/23, 0.5, -0.23, -17, -2 in increasing order.\nAnswer: -17, -2, -0.23, 0.5, 26\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -15, -2, 1 in descending order.\nAnswer: 1, -2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/18 and 19\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 686 and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 19*i**2 - i + 38. Let z be t(10). Let v = -428 - z. What are the prime factors of v?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - (-3 - -1)) + (10 - 9). Let w(a) = -a**2 + 1. Let u(y) = y**2 + 3 + 4 - 8 - 3. What is g*u(f) - 3*w(f)?\nAnswer: 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from {c: 2, p: 2, b: 8}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101010 + 10010010?\nAnswer: 101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 - 3*k**3 + 4*k**3)*(4605 - 508*k**2 - 75*k**2 - 4605).\nAnswer: 583*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2517284 divided by -359612.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1591276410 rounded to the nearest 100000?\nAnswer: -1591300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c - 16*c**2 - 27577*c**3 - 2*c**4 + 27577*c**3 + (-3*c + 3*c - 2*c**2)*(0*c**2 + 0*c**2 + 2*c**2).\nAnswer: -6*c**4 - 16*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**4 - 20*v**3 - 10*v**2 + 60*v + 45 = 0. Calculate v.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11827, 11790, 11753, 11716?\nAnswer: 11679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -161 + 170. What is the first derivative of 4 - 16*i - i**2 + c*i + 22*i wrt i?\nAnswer: -2*i + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 10:53 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -6 - 1) + (-30 + 11 - -19) - 100?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6618978782.\nAnswer: 2, 13, 254576107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 14914.3869 microseconds?\nAnswer: 0.00000017262021875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-4 - -3) - -1) + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3704 divided by 51\nAnswer: -3704\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 218\/81 - 2\/81. Let c be 7\/2 - 2*(-5)\/(-20). Which is smaller: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**6\/75 - 13*r**5\/50 + 13*r**4\/15 + 112*r**3\/15 - 1054*r. Factor a(g).\nAnswer: 2*g*(g - 8)*(g - 7)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -976501\/13 or -75115?\nAnswer: -75115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2390 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 5*v**2 + 4*v + 4. Let l be m(4). Let n be 58 + (2 - 5) + l. Let o = n - 58. Which is greater: 3\/19 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 0.5, 1299, -5, -1.8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 56*f + 140. Let t be y(-2). Does 30 divide 3\/2 - (-798)\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in centuries?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Suppose -d + 5 = t - k, -3*t + 9 = -3*d. Solve 0 = 5*n - 25 + t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3059.5 and -0.28.\nAnswer: -3059.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (203\/(435\/15))\/(2\/(-2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9965*n**4 + 3*n**2 + 109*n + 16 wrt n?\nAnswer: 239160*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/(m*m*m**(1\/2))*m)**(-44) assuming m is positive.\nAnswer: m**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 2*h**2 + 3*h + 4. Let m(f) = 5*f**3 - 9*f**2 - 13*f - 17. Let l = -20 + 22. What is l*m(x) + 9*a(x)?\nAnswer: x**3 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**3 - 41*m**2 + 309*m - 820. What is p(-26)?\nAnswer: -1418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12, -47, -140, -321, -620, -1067?\n\"Answer: -5*l**3 + l**2 - 3*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**2 + 1990*y + 73668. What is r(-35)?\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/21476 and 50\/9971.\nAnswer: 279188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 20*i - 76. Suppose i*h = 5*n + 105, 4*n = -5*h + 120 - 24. Solve 43*g = 47*g + h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1044*z**2 + 6*z**3 - 337500*z - 11*z**3 - 16875000 - 1206*z**2.\nAnswer: -5*(z + 150)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -172*g**2 + 18400*g + 512. Calculate q(107).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 4:28 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a23 + a03?\nAnswer: -3020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*f**2 + 34*f**2 - 68*f**2.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*z + 25. Let m = 157 + -65. Suppose z*k + m = 28*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**2 + 2643 - 2643.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2164, 4318, 6480, 8650?\n\"Answer: 4*t**2 + 2142*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -5*c - 24, -t = 5*c - 7*c - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 6:09 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 273913386 divided by -13946.\nAnswer: -19641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bnnbbnnbbbbbn.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - t**2 - 12*t. Let n be k(4). Solve 4*x + r - 19 = n, -2*x = -4*r + 2 + 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 122*(-1)\/(-2 + 1) - 2. Suppose -3*j - n = j + 96, z = -5*j - n. Let i = j - -31. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3*j - 3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/15 - 27\/5 - 100. Which is smaller: t or -523\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l + 113. Let b be z(-21). Suppose -b = -y + 16. Calculate the least common multiple of y and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 + 0)\/(38\/19*1\/(-8)). Solve 58*i - k*i = -266 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 - -3.05. Let b be (-2)\/4*(-3 - 3). Suppose -4*i + 5 + b = 0. What is the smallest value in n, i, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/2 + 188*j + 17672.\nAnswer: (j + 188)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 558 - 309. Suppose -f = -n - 2*n. Suppose -3*s + 230 - n = 0. Calculate the remainder when s is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56*f**5 + 28*f**3 + 24*f - 2?\nAnswer: -1120*f**3 + 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*-1*(-1 + 0). Suppose -3*c = 2*p - 8*c - 2, -5*p + l*c = -22. Let z = -15 + 25. What is the remainder when z is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w - 24 = 10*w + g, -3*w + 5*g = -10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3282 - -4711. Suppose 2*i - 5*q - m = 0, q + 3 = -0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**4 + 1158*t**3 + 141888*t**2 - 7552840*t + 50740800 = 0.\nAnswer: -310, 8, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -38 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -16*h + 11. Let k(o) be the first derivative of 3*o**2\/2 - 2*o + 147. What is -11*k(n) - 2*u(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4431 - -4428. Put 10, 3, -11, t in ascending order.\nAnswer: -11, t, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48798 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(3\/5)\/k*k\/(k**(-2\/5)*k))**(-43)*((k\/k**(-4))\/k**6)\/((k**(-3\/5)*k)\/k*k\/k**(-2)) assuming k is positive.\nAnswer: k**(-232\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9, n: 6, x: 1, s: 1, p: 2}. Give prob of picking 1 m and 1 x.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2436?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -11. Let j = -6 + k. Is 1\/7 less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22877, 22874, 22871?\n\"Answer: -3*z + 22880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 320 - 315. Let f = 1.8 + -2. Is r >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 less than 0.1?\nAnswer: -32.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72358 and 1408?\nAnswer: 4630912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppsp when four letters picked without replacement from sssppsspssss.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, s: 1, q: 7, p: 1}. Give prob of picking 1 q, 1 p, and 1 o.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15046 is divided by 145.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 3, -8, -2\/5, -25, 5, -16.\nAnswer: -25, -16, -8, -1\/2, -2\/5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -0*u + 4*u - 18, -2*u - 6 = 0. Does 9 divide 1628\/20 + (-4)\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 7, 2, -1 in decreasing order.\nAnswer: 7, 5, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 10, 118, 0, 4, -19 in descending order.\nAnswer: 118, 10, 4, 0, -2, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*((q**(-11\/3)\/q)\/q)\/q)\/q*(q*q**(-4))\/q*q)**(35\/2)\/((q**(2\/5))**(-50)\/(q*q**3*q**(-7)*q)) assuming q is positive.\nAnswer: q**(-401\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -359.99 - -353. Let u = -0.39 - z. Let g = -7 + u. Which is the third biggest value? (a) 1 (b) 3\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1250014 to four dps.\nAnswer: -0.125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1003032122?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2\/17, 1\/592, -3 in descending order.\nAnswer: 2\/17, 1\/592, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 480 and 4020?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*u + 555, -5*u + 4*h = -193 - 498. Suppose u*n = 137*n + 574. Calculate the greatest common divisor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132999131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -106 less than -150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*q + b - 3370 = 55*q, -13474 = -4*q - 5*b. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/((-100)\/(-30)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21520, 86082, 193686, 344332, 538020?\nAnswer: 774750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*x - 1\/6*x**4 + 1\/6*x**2 + 0 - 1\/6*x**3.\nAnswer: -x*(x - 1)*(x + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3 - (14 + 0 + -6) - 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -443412, -886830, -1330250, -1773672?\nAnswer: -2217096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 9:50 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j**3 + 4*j**3 - 2*j**3)*(3 + 51 - 2*j - 138) in the form s*j + o*j**4 + c*j**2 + f*j**3 + v and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a day in minutes?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/70*105\/6*(-561)\/(-935)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 116 + -94. Solve -4*m - x = 2*k, -2*k = m - k + 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/2 at least as big as -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 6*n**2 - 23*n - 41. Give m(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -2, 6650, -29.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*d - 4*g + 499 = -72*d, 3*g - 78 - 65 = 5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161, 425, 687, 947, 1205, 1461?\nAnswer: 1715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -176.4 - -1226.65\nAnswer: 1050.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a gram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 12 = -2*i. Let t = 13 - i. Solve 0 = -0*q + 3*q + t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108930823 - 108930823 - 233*q**3.\nAnswer: -233*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 472*m**2 + 8 + 467*m**2 + 0*m**3. Let w be s(-5). Put w, 0, 3 in decreasing order.\nAnswer: w, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.7 - -2.2. Round w to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 44 (b) 0.4 (c) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + n - 164695, 4*n + 23 - 3 = 0. Round q to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 4*c + 28, -4*s = -3*c - 4 + 31. Calculate the common denominator of 685\/(-18)*s\/20 and ((-195)\/(-315))\/((-6)\/49).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**4\/8 - 117*f**3\/8 + 471*f**2\/4 - 144*f - 276 = 0.\nAnswer: -46, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003239732 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*y + 6 = -14, 5*y = 3*x + 20. Let j(p) be the second derivative of p**5\/20 + 7*p**2\/2 + p. What is the units digit of j(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, -0.5, -4, -75.6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 212002?\nAnswer: -212003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7764362 meters to millimeters.\nAnswer: 776.4362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001148 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1004\/7 - (-66)\/(-154)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**3 - 6*g**3 + 0*g**3 + 5*g**3.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -0*a - 3*a + 2*r, 2*a = 5*r + 14. Let n = 0 - a. What is the units digit of -2*((-9)\/6)\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 480 and (-58)\/(-1218) + 6718\/42?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 4*g**2 + 6*g + 3. Let x be k(5). Let s = -6 + x. Find the third derivative of 0*i**5 + 0*i**2 - 2*i**s - i**5 wrt i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 2:47 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**5\/20 + 5*i**4\/12 + 2*i**3\/3 + 7*i**2\/2 - 37*i. Calculate the least common multiple of 5 - (0 + -2 + 3) and a(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -1. Let z(f) = -44 + 40 - 188*f + 73*f + 114*f. Suppose 0 = s - a, 3*a = -5*s - 2*a + 40. Give s*j(c) - z(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/281240 and -119\/10758320.\nAnswer: 849907280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20274.6, -1, -0.1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76*0.08834.\nAnswer: -6.71384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1142244 is divided by 269?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 550073.\nAnswer: 550073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 6:47 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s + 227 - 721 = 0. What is the remainder when 412 is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*d + 78 = -48 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2324123133 (base 5) to base 2.\nAnswer: 10100001110010110100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -7 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -4. What is the least common multiple of (-6)\/q*(-36)\/(-3) and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6131099 is divided by 642.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31178443 a multiple of 1920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - h - 1)*(-8 + 1 - 3 + 2*h)*(-5*h**3 - 13*h**2 + 13*h**2).\nAnswer: 10*h**5 - 50*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*p**2*y**4 - 182*p**2*y - 898*p**2 wrt y?\nAnswer: -12*p**2*y**3 - 182*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4489*w - 4485*w + 8972*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b - 3. Let i be z(1). Suppose i*l + 21 = 3*l. Suppose h - l = 5. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2018799, 1 in decreasing order.\nAnswer: 2018799, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 21 = -3*u, 3*v + 6*u + 1 = 10*u. Which is the second biggest value? (a) v (b) -0.07 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14148 and 4146444.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2211686?\nAnswer: 2, 199, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.001959 minutes to seconds.\nAnswer: 120.11754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -10*x + 11. Suppose 0 = -11*a - 14 - 30. Is i(a) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from erdeyeryrerrdereee?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 53 = -3*p - 2*p, 2*p = -2*q + 24. Suppose q*g = 5*g. Is g at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**8\/3360 + c**7\/4410 + c**6\/360 - c**5\/210 + c**4\/2 - c. Let n(u) be the third derivative of x(u). Factor n(f).\nAnswer: -2*(f - 1)*(f + 1)*(7*f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 45*c - 658. What is g(11)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -13*h + 2. Let s(i) be the second derivative of -i**4\/12 - i**3\/6 - i**2 - 2*i. Let y be s(0). Is t(y) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**7\/210 - r**3 + 7*r**2\/2 - 8. Let l(m) be the second derivative of k(m). Differentiate l(t) with respect to t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4209)\/(-2745)*1\/(-2) - (-6)\/10?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74588869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164 and 2404162.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 9. Let a be y(-7). What is the remainder when a\/2*(-456)\/30 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 301395443 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 26*d**2 + 1. Let b be k(1). Let v = -20 + b. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(300))**2 + 0.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 - 10 = 2*o. Calculate the remainder when o is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((r - 3*r + 3*r)*(0*r - r**2 + 0*r) + 14*r**3 + 7 - 7)*(-r + 3*r + 0*r) in the form s + b*r + a*r**3 + k*r**2 + x*r**4 and give x.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*u - 2*o = 8, 4*o = 2*u. Solve -14 = -3*c - 4*x, 5*c - u*c = 5*x - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2570 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3145 + -3308.1. Let u = p - -162. Which is the nearest to -1? (a) u (b) 0.4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1.8, -1, 0.3, 0, -880, 49?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 h when three letters picked without replacement from {x: 2, h: 4, v: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(132)\/(3*sqrt(48)\/sqrt(4)))**2.\nAnswer: 275\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1053) + 2*(sqrt(1053) - -2*sqrt(1053))))**2.\nAnswer: 206388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k + 7. Suppose -15*u = -2050 + 760. Suppose -5*y + u = 31. Calculate x(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2032019540 and 7880?\nAnswer: 3940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d**3 + 2*d**2. Let r(j) = 29*j**3 - 9*j**2. Give 18*k(b) + 4*r(b).\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 5 = 5*j. Let p be j\/3 - (-1)\/(-3). What is the remainder when 9 is divided by (-9)\/p - (-3)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 4*g**2 - 2*g - 1. Suppose -27 = 5*y - 47. Suppose -y*x + 273 = 53. Suppose 57*i = x*i + 4. Determine f(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -112, -236, -360, -484?\n\"Answer: -124*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2809134866 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5569*s + 5567*s + z = 8, 0 = -4*s + 5*z - 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3308\/83 or 41?\nAnswer: 3308\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76 + (7 - 10) + (-35 - -24 - (3 + 0))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0 - 4 = -3*l, 4*l - 5 = 3*y. Solve -t + y = 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(50\/15) - 0. Which is the fourth smallest value? (a) -4\/5 (b) -2 (c) 4 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 v when three letters picked without replacement from wvvvwvvw?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*y**2 - 12*y**2 + 5*y + 7*y**2 wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462 is divided by 116.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-20))**(-9) assuming g is positive.\nAnswer: g**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -461.67 + 458. Let d = 3.3 + o. Let f = d + 0.37008. Round f to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9847, -17674, -25501, -33328, -41155, -48982?\nAnswer: -56809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 30221820.\nAnswer: 30221820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11, -169, -475, -923, -1507?\n\"Answer: r**3 - 80*r**2 + 75*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -145761.4 rounded to the nearest 1000?\nAnswer: -146000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -16, -4, 102, -23, 5 in ascending order.\nAnswer: -23, -16, -4, 0, 5, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 + 78. Suppose 3 = h + 1. Factor -8\/3*d - 2\/3*d**h - b.\nAnswer: -2*(d + 1)*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21222*14.\nAnswer: -297108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 53, -667, -8 in increasing order.\nAnswer: -667, -8, -6, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from {i: 5, e: 6, z: 2}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.07 + -0.07. Let y = -8.1 + d. Let u = 0.8 - y. Which is smaller: 2\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -224*q**3 + 144*q**2 - 4*q + 4. What is c(1)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - l - 92. Suppose -2*s = q - 72, -4*q - l + 141 = 3*s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 223426 and 98?\nAnswer: 1563982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15655 = 326*d - 6853 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4321409 < 4321410?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*a = -0*a + 20, 3*a - 25 = -5*g. Suppose 3*p - g = -2. Suppose i - 15 - 10 = 0. Solve p*r + 3*w = 3 + 2, -i = 2*r - 3*w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168039*u + 168039*u + 4*u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + (-30 - -11) + -19?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 526.7002299 and 101.\nAnswer: 627.7002299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(2\/(-1))*((-1088)\/(-32))\/136.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**3 - 3063*p**2 + 1022841*p - 110978829 = 0. What is p?\nAnswer: 247, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*(sqrt(204) + sqrt(204)*-2) + (sqrt(204) - (sqrt(204) + (sqrt(204) + sqrt(204)*-1)*-6)))\/((1*sqrt(36)*-1)\/sqrt(3)).\nAnswer: -2*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 19*m - 229. What is w(12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -585*n**2 + 78. Let k(v) = 6*v**2 - 1. Determine -3*g(p) - 234*k(p).\nAnswer: 351*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 7*w**4\/4 + w**2\/2 - 7. Give k(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207376404 divided by 51844101.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.16, -2\/13, 2, 5 in descending order.\nAnswer: 5, 4, 2, 0.16, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-15))\/((-12)\/(-108))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8006 * -1\nAnswer: -8006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*f + 6 - 4 - 2*f**4 + 3 + f**3 - 6 to j + x*f**2 + a*f**3 + y*f**4 + g*f and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 4. Let k = 14.313 + -6.313. What is the fourth smallest value in -5, 0, k, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 0 + 0*y**6 + 0*y**2 - 1\/4*y**4 + 1\/21*y**7 + 0*y**3 + 6*y + 0*y**5. Find the third derivative of r(j) wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14128879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -901745 divided by 65?\nAnswer: -13873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (0 - 1749\/(-18)). Let l = w + 89. Let s = 95\/12 + l. Are 0 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 214264 and 0.03.\nAnswer: 6427.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10099 is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17661496613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -2*g - c - 4*c, -4*g - 2*c = -86. Let r(y) = -y**2 - 2*y + 1. Let i be r(2). Let q = i + g. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, x: 1, q: 1, a: 2, c: 1, h: 2}. What is prob of picking 1 y, 1 h, 1 q, and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**4 + o**3 - 57360*o**2 + 630*o + 56.\nAnswer: -24*o**2 + 6*o - 114720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.4 in -7, -60, 5, -5, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 11 = -o. Let r(a) = a**3 + 9*a**2 + a + 11. Let x be r(o). Solve -4*g = -14 - x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 11 (b) 5 (c) 8 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 322132323 (base 5) to base 9\nAnswer: 2510027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*l**2 + 68*l**2 + 68*l**2)*(-5*l + 4*l - l).\nAnswer: -242*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 19. Let b = 40.3 - 18.9. Let j = t + b. Put j, -5, -0.8 in ascending order.\nAnswer: -5, -0.8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 44, -16, -4 in descending order.\nAnswer: 44, 5, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6442 + -0.644207963. Round u to seven decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, j: 2, r: 4, b: 1}. Give prob of sequence orrj.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-11))\/((-393)\/10087).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40168376?\nAnswer: 2, 67, 74941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence watw when four letters picked without replacement from {w: 1, t: 3, a: 4, o: 1, i: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 7 - 4) + 12 - -7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h. Let b be (3 - 0) + 13 + h. Is b > 33\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 61127*h + 26208 wrt h?\nAnswer: 61127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45784834 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 d, and 1 p when three letters picked without replacement from {k: 1, a: 1, l: 2, h: 1, d: 2, p: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 203172*p**2*w**3*z**2 - 81*p**2*w**3 + 9*p**2*w**2*z - 8*w**2*z wrt z.\nAnswer: 406344*p**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 616919 and 994?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1621638*t - 177*t**4 - 1621638*t + t**3)*(-t + t + t).\nAnswer: -177*t**5 + t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.04 (b) 1\/24 (c) -24\/47 (d) -1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bejqeabfq. Give prob of sequence fbaj.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 - 2*p + 2. Let d(q) = -3 - 2 - 2*q**2 + 3*q - 2*q**2 + 2. Let h(f) = -f**2 + 5*f - 3. Let s be h(3). What is s*y(r) + 2*d(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1048 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/24)\/(((-360)\/32)\/15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 11*x**2 - x + 15. Let y be b(11). Suppose -4*h + 224 = y*i, i = 2*h + 22 + 46. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 3. Let p(x) = -2*x**2 + 7*x + 171. Give -p(a) + 6*v(a).\nAnswer: 2*a**2 - a - 189","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.007 in -75, -1\/4, 6, -6.6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 6*j + 4. Let z be 3 - (-1)\/(1\/3). Let h be 40\/(-6) - (-4)\/z. What are the prime factors of p(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9\/4)*s)**(-13\/3) assuming s is positive.\nAnswer: s**(65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4860 = -182*g + 6584 - 5256 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 939190431 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -130 in ascending order.\nAnswer: -130, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + 5 - 1\/(2\/(-6)). Let c(d) be the third derivative of -1\/6*d**4 + 0 + 0*d - 8*d**g + 1\/6*d**3. What is the derivative of c(i) wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 421267300 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*o + 6, -4*o = -y - 3*o + 4. Suppose 0 = 8*w - y*w. Solve 5*q = -w*q - 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20213 (base 4) to base 15\nAnswer: 26b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 0.4, 2, -0.4, -11.03?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347427?\nAnswer: 3, 38603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n - 4. Let w be -1*(1 + 0)*1. Let a(y) = -5*y**2 - y. Let g be a(w). Let i be b(g). Sort i, 2, 4.\nAnswer: i, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 8*c**2 + 6*c - 7. Suppose -5*w + w + f = 27, -2*w = 3*f + 17. Let y be s(w). Solve y*j = -3*j - 3*p, 5*j - 4*p - 27 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t - 4 + 4 + 4*t - 4*t - 2*t + (-2 + 1 - 1)*(0*t + 2*t - t) + 0*t + 0*t + t + 0*t + 2*t + t - 4*t + t + 4*t + 1 - 3*t - 1 as z + w*t and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 3734.\nAnswer: -1120.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -5. Let k be 9\/2*(-1 - w). Suppose -4*h = -k*h + 10. Which is greater: h or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-731)\/(-51) - 15 - (-82)\/6) + 223 + -112?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.63 * -0.05\nAnswer: -0.0315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**4 + v**4 + 5*v**4 + (1 - 3 + 3)*(3*v**4 - v**4 + 0*v**4) + 0*v**2 + 0*v**2 + 2*v**4 + 1 - v**4 - 1 + 2*v + 5*v**4 - 2*v.\nAnswer: 11*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 5. Let q be h(0). Let p = q - -30. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -5\/13*a**2 - 112 - 2\/39*a**3 + 0*a. Solve f(r) = 0 for r.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 24 = -28. Suppose -3*y + 63 = -5*a, 3*a - 7 = -2*y + y. Suppose -j + 6 = -5*p, 2*p - 3*j - y = 4*p. Sort g, -3, p in increasing order.\nAnswer: -3, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 332873531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - q - 6. Let g be j(8). Let z = g - -113. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2155, -2734, -1725, 872, 5057, 10830?\n\"Answer: 794*y**2 - 2961*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 10*s. Let u(f) = 11 - 11 - 19*f + 16*f. Give c(u(d)).\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) - (-34)\/8. Suppose -2*f = -5*f + 24. Let n = 24 - f. Solve o = 4*t + n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 6*8\/12. Let z be (3 + -5)\/n - 5. What is the tens digit of ((-5)\/z)\/(7\/112)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 + 9)*1*11. Suppose -3*p = 11 + c. Let y(k) = -2*k + 13. Is y(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 44338 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5994785 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1337 - 34.7963. Let i = 35 + g. Let z = 5.07 - i. Which is the nearest to -1? (a) 2\/3 (b) z (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-164)\/287 - (-340)\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -5*r**2 - 4420*r + 3347680 = 0.\nAnswer: -1372, 488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 820 a factor of 1994991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -y - 3*y - 5*z, 5*y + z = 71. Let h be (y\/(-10) + -3 - -5)*2. Let x(s) = -5*s + 2. Calculate x(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyvttylllttytvtt. Give prob of sequence ty.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -24 (b) 0.7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = 5*d - 70. Let p(a) be the second derivative of -2*a + 1\/20*a**d + 0*a**2 + 0*a**4 + 0 - 1\/6*a**3. Factor p(h).\nAnswer: h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 4 + 40 - 33 + 18*w + 22*w**3 in the form x*w + y*w**2 + p*w**3 + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 0 + 1026468*o**2 + 1 - 6 + 6. Let b be j(1). Suppose -b = l - 276469. What is l rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 3*t**2\/2 + 5*t - 16. Let s(v) = -6*v - 13. Let u be s(-3). Give l(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3 = 3*u + 6, 4*u = -2*p + 22. Suppose -p*c + 3*s + 1 = -8, c = 2*s - 1. Calculate the remainder when c is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 + 8845*d**2 - 269705*d + 260855.\nAnswer: 5*(d - 29)*(d - 1)*(d + 1799)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2077 + -2074. Solve -5*z = -4*v + 6, 2*z + 10 = r*v + z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21, 16, 13, 12?\n\"Answer: g**2 - 8*g + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 253 + 347. Does 19 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053574 to the power of 1\/2, to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4*-1*22*(-21)\/(-616)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5073821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415103 (base 6) to base 15.\nAnswer: 9de9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 608?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 4*o + 2*y = 3660, 2*o + 4*y = 3654. Let u = -434 + o. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 10 = r. Suppose -15 = -20*i + 15*i. Suppose 4*k = -d + r, -k - 3*k + 46 = i*d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 4. Suppose 5*s - q*y + y - 1075 = 0, 5*y = -3*s + 613. Is s\/4 - (-2)\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34374*d*m**5 + 2*d*m + 5*m**5 - 426*m**2 - 519*m wrt m.\nAnswer: 2062440*d*m**2 + 300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1844466 and 61846?\nAnswer: 3638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 1. Let f(x) = 19*x + 24. Let g(r) = 3*c(r) + f(r). Is g(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkhrwmhpkmwkkm. What is prob of sequence khmk?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -84*u + 3042. Calculate the least common multiple of (-1 - -3) + (0 - -10) and a(36).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4*v - 17, 14*v + 7 = -q + 9*v. Solve 5 = -5*p + q*l + 4, 4*p - 5*l - 7 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 215115965821\/5848 + -294276137\/8. Let q be (-50)\/7310*3\/5. Let k = q + x. What is the common denominator of 54\/5 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/12*(-64)\/(-16)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + 6 + -3 + 21 is divided by 2\/(-3) + (-44)\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63 by 211.\nAnswer: 63\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 4)*(-5*d + 0*d - 3*d) + d - d + d + 0*d + 3*d - d + (-3 + 1 + 1)*(4*d - 3*d + 0*d) to the form z*d + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 6, 0*b + 2*t - 18 = -b. What is the lowest common multiple of b and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240 (base 10) to base 3\nAnswer: 22220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -458 + 1521. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i - 120. Calculate n(-23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -251.2 - -251. What is the closest to 0.2 in d, 3, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -61*f**2 - f. Let c(d) = -7*d + 10. Let t(n) = 22*n - 34. Let a(v) = 17*c(v) + 5*t(v). Determine k(a(r)).\nAnswer: -4941*r**2 + 9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5))\/(135\/(-270)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 7*f**2 + 4*f + 4. Let u be i(6). Let d(v) = -v**3 - 9*v**2 - 8*v. Let x be d(u). Solve -10 = -2*r - 0*r + 4*g, -2*g - 10 = x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010001000011001110000 - 10010011?\nAnswer: 10010001000010111011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*sqrt(117) + -2 + sqrt(117) + sqrt(117) + sqrt(117) + -1)**2 + (-6*(0 + sqrt(52))*-6)**2 + -1.\nAnswer: -342*sqrt(13) + 109637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 10. Let m be j(8). Suppose 2*l - 4 = -m*l. Is 1\/2 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**4\/3 + 19*d**3\/3 + 4*d**2 - 36*d = 0.\nAnswer: -18, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 100250 (base 6) to base 7\nAnswer: 31653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 4*c**2 + 0 - 1\/60*c**5 - 1\/6*c**3 + 1\/24*c**4 + 0*c. Let o(f) = 2*f**3 - 6*f**2 + 8*f - 6. What is 6*i(t) - o(t)?\nAnswer: -2*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 1429004 = -4*z + 4*j, 5716005 = -4*z - 5*j. What is z rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 1653 = -9*p. Does 26 divide 9\/((-27)\/2) - p\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -67*w**4 - 37*w**3*x**3 - 37767*x**3 + 2*x**2 wrt w?\nAnswer: -268*w**3 - 111*w**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -24 + 28. Suppose i - 1 = v. Suppose -p = 4*t - 626, v*t - 310 = t - 2*p. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8831233?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajrajojmlamo. What is prob of sequence aaa?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3649, 7309, 10957, 14587, 18193, 21769?\nAnswer: 25309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 238.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2422127416.\nAnswer: 2, 302765927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*n - 30 = 0. Let p = n + -8. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1) + -8 + 8 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*(-63)\/168*54.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 11*h**2 - 8*h - 8. Calculate the least common multiple of 8 and d(10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9114315 divided by 61?\nAnswer: 149415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5753*z**3 - 2380*z + 32153330.\nAnswer: -17259*z**2 - 2380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u. Let s be r(-2). Suppose -2 = 2*b - 2*g + 2, 0 = -s*g + 8. Solve -3*y + 6 = w + 4*w, -2*y - b*w + 4 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/6)\/((-3)\/216*2). Let u be -5*1 + y\/(-20). Let k be 8\/32 + (-2)\/(u\/19). Solve 0 = -k*x - 15 - 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*o**3 + 7*o**3 + 3*o**3 + (-o - 3*o + 5*o)*(-4*o**2 + 2*o**2 + 3*o**2) - 73*o + 37*o + 42*o + 5*o**3 + (-o**2 + o**2 - o**2)*(3 - 2*o - 3).\nAnswer: 24*o**3 + 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f + 6*f - 2*f + (4*f + 3 - 3)*(3 - 4 + 4) - 2 - f + 2 + 3*f + f - 3*f + (0 + 0 + 1)*(-2*f + 3*f - 3*f) + 4*f - 5*f + 3*f.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32 - -13780?\nAnswer: 13822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*f - 43, -10 = v - 2*f - 45. Solve x = -4*x - 3*z - 5, -v = x - 5*z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-17)\/(119\/14126))\/((-1)\/2). Let o = g + -2381. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(2\/21)*w*w**(1\/5))**(-34) assuming w is positive.\nAnswer: w**(-8194\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0 + 0)*(-735 + 735 + 1212*a) + (-15*a + 15*a - 13*a**2)*(2 - 2 + 1).\nAnswer: -1225*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/8 + 66061*r**2\/8 + 16515*r\/2.\nAnswer: r*(r + 1)*(r + 66060)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, -2\/9, -80, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/7, 1\/4, 0.0377, 5 in decreasing order.\nAnswer: 5, 1\/4, 0.0377, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 602*r + 223*r**2 - 305*r - 297*r.\nAnswer: 223*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**6\/1080 - y**5\/180 - 7*y**2 - 53*y. Let a(x) be the first derivative of c(x). Factor a(b).\nAnswer: b**2*(b - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100110212221102 - 10?\nAnswer: -100110212221112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2083.0002801 - -2083. What is i rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 10 - ((-27 - -73) + -25).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 28*l - 22. Let t be p(-15). Let h(k) = -k. Let f be h(2). Which is the smallest value? (a) t (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*j - 184, -93*j + 4*b + 80 = -92*j. Let i = -21 + 5. Let x = i + j. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 0)\/(2\/(-10)). Let p(i) be the first derivative of -i**2 - 9*i + 15131. Calculate p(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**6\/75 + 3*a**5\/50 + 3*a**4\/10 + a**3\/3 + 144*a. Solve p(q) = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787445?\nAnswer: 5, 157489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 6:55 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48.5 + -48.3. Which is the closest to -2? (a) -1\/11 (b) o (c) -10 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {a: 5, t: 11}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101020 by -5.\nAnswer: -20204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 4*k - 7. Let d be r(6). Let y = -7 - d. Let o be ((-6)\/9)\/(2\/y). Solve 0 = s + 5*n - 23, o*s = 3*s + 4*n - 22 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 - 842 = 41*g. Let v be (-2)\/(-7) - (-412)\/(-21). Is g > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -94*d**3 + 94*d**3 - 50*d**4 + (d**2 + 0*d**2 - 9*d**2)*(2*d**2 - 5*d + 5*d).\nAnswer: -66*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10713097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 41 - 5*c - c + 2.\nAnswer: -4*c + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5198940 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68*s - 65*s - 665 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 295 + -205. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4927*r - 2397?\nAnswer: 4927","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = w - 24. Suppose w = -3*n, -5*o - n + 4440 = -0*n. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h - 5*h + 5*h + (-8*h + 68*h + 35*h - 8*h)*(0 + 0 - 1).\nAnswer: -89*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*sqrt(5) + sqrt(5)*-2 + -2.\nAnswer: -4*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 13*r + 86. What is the smallest common multiple of t(-6) and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 8:12 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1343 = 4*r + 3*n, 5*r - 1693 = -0*r + n. Let x = r + -1407\/4. Find the common denominator of 63\/5 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529875 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**2\/7 - 4*h\/7 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 q when three letters picked without replacement from {a: 9, q: 7}.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z**2 + 22*z - 22*z)*(-30 + 198 + 164).\nAnswer: -2324*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4370231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (6*sqrt(12)\/sqrt(4) - 5*sqrt(12)\/sqrt(4))*-3*-6)**2.\nAnswer: 180*sqrt(3) + 997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(208)\/sqrt(4) + 5 - sqrt(52)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 5*s + 30, 12077*m + 12 = -2*s + 12075*m for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 6*s + 42. Is 12\/s*(-19)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -12 + (1 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 1:01 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10026, 20056, 30090, 40128?\n\"Answer: 2*a**2 + 10024*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -446\/595 - 6\/119. What is the second biggest value in -0.08, h, -1, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/20*(-75)\/9. Let v = 8 - 5. Suppose 0 = 6*u - q + v. Solve u = -m - m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 867 + -854. Suppose -181 = b*o - 636. Calculate the smallest common multiple of o and 25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5473890161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**10*x*x**17*x*x*x*(x**(-2\/65))**(-21) assuming x is positive.\nAnswer: x**(2057\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-66)\/(-12)*(-72)\/(-2) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*l**2*x**2*y**2 + 14*l**2*x**2*y + 403*l**2*y + l**2 + 426*l*x**2*y**2 - 2*l*x**2*y wrt y?\nAnswer: 34*l**2*x**2 + 852*l*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - (-5 - -5))*2. Let c(w) = -2*w**2 - 15*w + 9. Let r be c(l). Is r less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*p + 20 = -6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((h\/(h**(2\/5)\/h*h))\/h)\/h)\/h*h*h)\/h)\/(h\/h**5*h*h))**22*(h*(h\/h**(2\/17))\/h*h**(-1\/8))\/((h\/(h\/((h*h**2\/h*h)\/h)))\/h**3) assuming h is positive.\nAnswer: h**(10171\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.613 in 0, 1\/4, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 20*g**2 + 2*g + 3. Is h(-2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143633891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*(-4 + 1*-1*sqrt(1008) + sqrt(1008) + 2*sqrt(1008) + 5))**2*3 + 1.\nAnswer: -576*sqrt(7) + 12145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/4 + 37*m\/4.\nAnswer: m*(m + 37)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.074261.\nAnswer: 0.074261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 782 and 1326?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*n + 133 = -30*n + 340. What is the smallest value in 1\/18, 0.2, n?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 9 = 2*w - 4*l, -l = 1. What is the third biggest value in -5, w, 3\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*60\/(-24) + 2. Which is the third biggest value? (a) l (b) -1 (c) 2\/65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1164.3 * 0.468.\nAnswer: -544.8924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w - 6 + 12*w**2 - 21 + 27.\nAnswer: 12*w**2 + 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(17) - sqrt(425)))**2*-4*-2*4.\nAnswer: 313344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 456522727?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1412838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from {d: 8, i: 2, v: 7, g: 2}?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 3*y**2 + 1. Let t be o(-2). Let x be 25\/6 + (-2)\/12. Solve -x*a + 15 = -t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 6:10 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by 32722949?\nAnswer: 41\/32722949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p - 3. Let a be f(-4). Let i(x) be the first derivative of 1\/2*x**2 + 6*x - 68. Calculate i(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100000000000000101001 (base 2) to base 11\nAnswer: 656929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (0 - -1) - (-10 - -31)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5688, 5675, 5662, 5649, 5636, 5623?\n\"Answer: -13*n + 5701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5423 + -5423.5. What is the fifth smallest value in f, 0.1, -2\/9, 27.2, -2?\nAnswer: 27.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/5, 1.548, 1003 in decreasing order.\nAnswer: 1003, 1.548, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65078?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 132 = 2*d - 205, -d + 1721 = -5*q. Let y(v) = -7*v**3 - 12*v**2 + v + 17. Let p be y(-5). Let s = q + p. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.972191 milligrams in grams?\nAnswer: 0.008972191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.7 + 0.3. Let t = -0.3 - -0.3. Sort j, t, 1\/8 in ascending order.\nAnswer: t, 1\/8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 17. Solve -k - w = 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10001110110000001110 (base 2) to base 7\nAnswer: 4653501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1400?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87 + 92. Suppose 2556 = -d*y - y. Let x = y - -8948\/21. Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**6\/240 + 9*j**5\/40 - 19*j**4\/16 + 29*j**3\/12 - j**2 - 96*j. Factor a(u).\nAnswer: (u - 1)**2*(u + 29)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9*p**2 - 3*p. Let h(c) = -2*c + 2. Let z(s) = 6*s - 5. Let i(d) = 10*h(d) + 4*z(d). What is x(i(f))?\nAnswer: -144*f**2 - 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4302938 and 17418166.\nAnswer: 15878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3\/2 + 64941*h**2\/2 + 162365*h = 0. What is h?\nAnswer: -5, 0, 64946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/11632 and 57\/14540?\nAnswer: 58160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/16)\/((-1)\/16). Let o(b) = b**2 + 7*b - 2. Let q be o(a). Let l be 12\/(q\/3 + -1). What is the highest common divisor of l and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 6 (b) -3 (c) -3\/2 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = 28*q + 802. Let b = q - -1669. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2348789933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3447, 13245, 29557, 52383?\nAnswer: 81723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, e: 5, w: 2}. What is prob of picking 1 w and 2 c?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1363 + 20879. Round o to the nearest one hundred.\nAnswer: 22200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(1\/5)\/p)*p**(-7))**(4\/9)\/(((p**3\/p)\/p*p)\/p*(p\/(p*p**(-3)*p))\/p*(p\/(p\/((p\/(p**(-3)\/p))\/p)))\/p*p**(-1)*p) assuming p is positive.\nAnswer: p**(-329\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {m: 3, w: 8, r: 5}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-15)*-1*5*((-162426)\/749)\/253.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*g. Which is smaller: g or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**12*v**(-1\/5)*v)**(-41)*((v*v**(-2\/9)*v)\/(v\/v**(-2\/17)))**28 assuming v is positive.\nAnswer: v**(-387332\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + -1 - -2 - (-1144)\/(-1). Let g = 2209 + u. Is g a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 37. Suppose -w*v = 4*j + 240, -j + 35 + 19 = -v. Let l = v + 41. Round l to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34320299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5107487.\nAnswer: 7, 11, 113, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5824117 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(176) + (1 + sqrt(176) + sqrt(176))*6)*-4 - ((1*sqrt(121) + sqrt(121))*1)\/(sqrt(33)\/sqrt(3)*6)).\nAnswer: -1250*sqrt(11)\/3 - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78378.92 millennia to decades.\nAnswer: 7837892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**5 + 19*h**4\/24 - 7*h**3\/6 + 9*h**2. Let q(s) be the first derivative of m(s). Is q(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = 5*y - 2*a, 5*y + 4*a = -30 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5360, 10732, 16110, 21494, 26884, 32280?\nAnswer: 37682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-12)*o**(6\/7))\/((o*o**(-10)\/o)\/(o**(-2)*o)))**(-1\/5) assuming o is positive.\nAnswer: o**(-167\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**3\/3 + y**2\/2 - y - 178. Let r(v) be the third derivative of -4*v**5\/15 - v**4\/2 + 2*v**3 + 3*v**2. Give -12*g(s) - r(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.182809998 to 4 decimal places.\nAnswer: 6.1828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1469, -2\/7, 4, -2, 60 in decreasing order.\nAnswer: 60, 4, 0.1, -2\/7, -2, -1469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 564*w + 566.\nAnswer: -2*(w - 1)*(w + 283)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-66)\/4)\/33*(-6)\/27\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -591 (c) 4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -14*d**2 - 16*d. Let h(z) = 15*z**2 + 14*z. What is -7*h(i) - 6*q(i)?\nAnswer: -21*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-320)\/2400*(-15)\/2*3\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61159 + 61177. Let z = -0.2 - 0.1. Which is the third smallest value? (a) h (b) -2\/11 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*i - 7385312 - 16402677 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p - 21*p + 3*p - p**3.\nAnswer: -p**3 - 22*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26538 by -2.\nAnswer: -13269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -583.02 + 529. Let v = -54 - j. Let u = 2 - 1. What is the closest to u in -0.2, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129 and 1539.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-70))\/(((-22)\/(-10))\/(-11))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(245) + 1 + sqrt(245) + 1 + -4)*-2*3 + 5)**2.\nAnswer: -3192*sqrt(5) + 35641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67015*a*c**3 + 68648*a*c**2 wrt c.\nAnswer: -402090*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4206461 is divided by 2039?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -8472?\nAnswer: 8474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 674 = -193*f - 291 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 670*o + 16862. Determine h(-25).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 + 3*t**2 - t + 3. Let k = 9 - 45. Let p = 39 + k. What is the units digit of u(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t - 2. Suppose -6 = -w - w. Let u(q) = 2*q + 0*q - w + 1 - q. Let y be u(4). Give h(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 720 - 719.8. Sort -1.9, -5, 3, b.\nAnswer: -5, -1.9, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -30. Suppose -5*z + 87 - d = 5*g, -4*z - 102 = -5*g. Suppose 40 = 5*v + 3*i, -2*v - i = -4 - 13. What is the remainder when g is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 8*d + 2. Let h be o(8). Let m = -5141 + 5134. Sort m, 1, h in ascending order.\nAnswer: m, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5007*j**2\/4 + 3329*j\/2 + 6.\nAnswer: -(3*j - 4)*(1669*j + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11559 is divided by 1392?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -5318739?\nAnswer: 5318738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 484935.8mg to nanograms.\nAnswer: 484935800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -16, 2, -1246.\nAnswer: -1246, -16, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3475)\/(-60) - 2\/(-24). Suppose -3*f + 51 = 3*m, -5*f = -4*m - 54 - j. Calculate the highest common factor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2089027 is divided by 21536.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*s = 0. Suppose s = 2*k + 2*k - 4000000. What is k rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 - v. Let o be f(-1). Let t(w) = -1909*w - 13394. Let c be t(-7). What is the nearest to -0.1 in 0, c, o, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1451, 1499, 1547, 1595?\nAnswer: 1643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2 + 2, -4*z - d + 36 = 0. Suppose -z*x - 160 = -12*x. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01286027023 to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86528 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48607241 and -3?\nAnswer: -145821723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 20, 1\/4, 3, -0.47, -31, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + i)*(-10 - 27 + 19 + (-3 + 0 + 2)*(0 - 2 + 0) - 2 + 1 + 0 - 11 - 4 + 5).\nAnswer: -27*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryrryryrqqpryr. Give prob of sequence ry.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (-7)\/(21\/(-873)). Let f = -200 - s. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/300*(-10)\/8\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8171716 and 230.\nAnswer: 40858580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6 = -4. Suppose 4*o - 6 = d. Suppose f = 11 - o. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*d**4 + 2145*d**3 + 5313*d**2 - 4269*d - 3195 = 0. What is d?\nAnswer: -355, -3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 3*u + 2. What is c(-8)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/sqrt(3))\/sqrt(9) + sqrt(180) + sqrt(180) + 1.\nAnswer: 1 + 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) 0.2 (c) -311.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -125*c**2\/2 - 21*c - 142. Differentiate r(j) with respect to j.\nAnswer: -125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -1\/2, 1\/11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (2322\/(-946) - 12\/22). Let n(y) = 2*y**2 - 1 - 5*y - 4*y**2 + 5. Give n(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 12:17 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -3564155.\nAnswer: -3564152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 7*y**4\/6 - y**3\/6 - 254*y**2 - 4*y. Calculate t(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txtttttttttxutttx. What is prob of sequence xt?\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18665 + (10 - 76\/14 - 9\/(-21)).\nAnswer: 2, 5, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 + 49 - 20 - 14 - 49*m**3 + m wrt m?\nAnswer: -294*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 3*y**2 - 3*y + 2. Let d be o(4). Let r = 4 - d. Calculate the remainder when 25 is divided by ((r - 0) + 5)*3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 63116160 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13467.3 rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}